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This CellML file was generated on 15/12/2009 at 2:00:25 at p.m. using:

COR (0.9.31.1333)
Copyright 2002-2009 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk

CellML 1.0 was used to generate this model
http://www.cellml.org/
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				<title>Computer Modeling of Mitochondrial Tricarboxylic Acid Cycle, Oxidative Phosphorylation, Metabolite Transport, and Electrophysiology</title>
				<author>
					<firstname>Geoffrey</firstname>
					<surname>Nunns</surname>
					<affiliation>
						<shortaffil>Bioengineering Institute, The University of Auckland</shortaffil>
					</affiliation>
				</author>
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			<section id="sec_status">
				<title>Model Status</title>
				<para>
        This CellML version of the model runs in OpenCell, PCEnv and COR to replicate the results of the original MATLAB code.  The units are consistent.  Note, to run the model, the step size must be small in the order of 1e-6, and the tolerances are in the order of 1e-12.
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			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
ABSTRACT: A computational model of mitochondrial metabolism and electrophysiology is introduced and applied to analysis of data from isolated cardiac mitochondria and data on phosphate metabolites in striated muscle in vivo. This model is constructed based on detailed kinetics and thermodynamically balanced reaction mechanisms and a strict accounting of rapidly equilibrating biochemical species. Since building such a model requires introducing a large number of adjustable kinetic parameters, a correspondingly large amount of independent data from isolated mitochondria respiring on different substrates and subject to a variety of protocols is used to parameterize the model and ensure that it is challenged by a wide range of data corresponding to diverse conditions. The developed model is further validated by both in vitro data on isolated cardiac mitochondria and in vivo experimental measurements on human skeletal muscle. The validated model is used to predict the roles of NAD and ADP in regulating the tricarboxylic acid cycle dehydrogenase fluxes, demonstrating that NAD is the more important regulator. Further model predictions reveal that a decrease of cytosolic pH value results in decreases in mitochondrial membrane potential and a corresponding drop in the ability of the mitochondria to synthesize ATP at the hydrolysis potential required for cellular function.     
</para>
				<para>
The complete original paper reference is cited below:
</para>
				<para>
					Computer Modeling of Mitochondrial Tricarboxylic Acid Cycle, Oxidative Phosphorylation, Metabolite Transport, and Electrophysiology, Fan Wu, Feng Yang, Kalyan C. Vinnakota, Daniel A. Beard, 2007, <emphasis>Journal of Biological Chemistry</emphasis>, volume 282, no. 34.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=17591785&amp;dopt=Abstract">PubMed ID: 17591785</ulink>
				</para>
<informalfigure float="0" id="fig_reaction_diagram">
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<caption>Schematic diagram of the model components. The illustrated components include tricarboxylic acid cycle reactions, oxidative phosphorylation reactions, substrate and cation transport reactions, and passive permeation fluxes. External reactions are not illustrated here. The tricarboxylic acid reactions are numbered 1-11. 1, pyruvate dehydrogenase; 2, citrate synthase; 3, aconitase; 4, isocitrate dehydrogenase; 5, alpha-ketoglutarate dehydrogenase; 6, succinyl-CoA synthetase; 7, succinate dehydrogenase; 8, fumarase; 9, malate dehydrogenase; 10, nucleoside diphosphokinase; 11, glutamate oxaloacetate transaminase.</caption>
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      <variable name="dGf1_COASH" units="kilojoule_per_mole" initial_value="-0.72" public_interface="out"/>
      <variable name="dGf1_ACCOA" units="kilojoule_per_mole" initial_value="-178.19" public_interface="out"/>
      <variable name="dGf1_OAA" units="kilojoule_per_mole" initial_value="-794.74" public_interface="out"/>
      <variable name="dGf1_CIT" units="kilojoule_per_mole" initial_value="-1165.59" public_interface="out"/>
      <variable name="dGf1_ICIT" units="kilojoule_per_mole" initial_value="-1158.94" public_interface="out"/>
      <variable name="dGf1_AKG" units="kilojoule_per_mole" initial_value="-793.41" public_interface="out"/>
      <variable name="dGf1_SCOA" units="kilojoule_per_mole" initial_value="-507.55" public_interface="out"/>
      <variable name="dGf1_SUC" units="kilojoule_per_mole" initial_value="-690.44" public_interface="out"/>
      <variable name="dGf1_FUM" units="kilojoule_per_mole" initial_value="-603.32" public_interface="out"/>
      <variable name="dGf1_MAL" units="kilojoule_per_mole" initial_value="-842.66" public_interface="out"/>
      <variable name="dGf1_ASP" units="kilojoule_per_mole" initial_value="-692.26" public_interface="out"/>
      <variable name="dGf1_GLU" units="kilojoule_per_mole" initial_value="-692.4" public_interface="out"/>
      <variable name="dGf1_CO2_tot" units="kilojoule_per_mole" initial_value="-530.71" public_interface="out"/>
      <variable name="dGf1_PYR" units="kilojoule_per_mole" initial_value="-470.82" public_interface="out"/>
      <variable name="dGf1_GLC" units="kilojoule_per_mole" initial_value="-907.21" public_interface="out"/>
      <variable name="dGf1_G6P" units="kilojoule_per_mole" initial_value="-1758.87" public_interface="out"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>RT</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="joule_per_kelvin_per_mole">8.314</cn>
                        <apply>
                           <plus/>
                           <cn cellml:units="kelvin">28</cn>
                           <cn cellml:units="kelvin">273.15</cn>
                        </apply>
                     </apply>
                     <cn type="e-notation" cellml:units="joule_per_kilojoule">1   <sep/>
                     3</cn>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>ExpType</ci>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="joule_per_kelvin_per_mole">8.314</cn>
                        <apply>
                           <plus/>
                           <cn cellml:units="kelvin">37</cn>
                           <cn cellml:units="kelvin">273.15</cn>
                        </apply>
                     </apply>
                     <cn type="e-notation" cellml:units="joule_per_kilojoule">1   <sep/>
                     3</cn>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_ATP">
      <variable name="P_ATP_x" units="dimensionless" public_interface="out"/>
      <variable name="P_ATP_i" units="dimensionless" public_interface="out"/>
      <variable name="P_ATP_c" units="dimensionless" public_interface="out"/>
      <variable name="uATP_x" units="molar" public_interface="out"/>
      <variable name="mATP_c" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <variable name="ATP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="ATP_c" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">6.59</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">3.82</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.013</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ATP_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ATP_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ATP_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>uATP_x</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>ATP_x</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_x</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_ATP_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mATP_c</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>ATP_c</ci>
                     <ci>Mg_c</ci>
                  </apply>
                  <ci>K_Mg</ci>
               </apply>
               <ci>P_ATP_c</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_ADP">
      <variable name="P_ADP_x" units="dimensionless" public_interface="out"/>
      <variable name="P_ADP_i" units="dimensionless" public_interface="out"/>
      <variable name="P_ADP_c" units="dimensionless" public_interface="out"/>
      <variable name="uADP_x" units="molar" public_interface="out"/>
      <variable name="mADP_c" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <variable name="ADP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="ADP_c" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">6.42</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">2.79</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">0.882</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ADP_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ADP_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ADP_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>uADP_x</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>ADP_x</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_x</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_ADP_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mADP_c</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>ADP_c</ci>
                     <ci>Mg_c</ci>
                  </apply>
                  <ci>K_Mg</ci>
               </apply>
               <ci>P_ADP_c</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_AMP">
      <variable name="P_AMP_x" units="dimensionless" public_interface="out"/>
      <variable name="P_AMP_i" units="dimensionless" public_interface="out"/>
      <variable name="P_AMP_c" units="dimensionless" public_interface="out"/>
      <variable name="uAMP_x" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <variable name="AMP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">6.22</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.86</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">0.6215</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_AMP_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_AMP_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_AMP_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>uAMP_x</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>AMP_x</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_x</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_AMP_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_GTP">
      <variable name="P_GTP_x" units="dimensionless" public_interface="out"/>
      <variable name="P_ATP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GTP_i" units="dimensionless" public_interface="out"/>
      <variable name="P_ATP_i" units="dimensionless" public_interface="in"/>
      <variable name="P_GTP_c" units="dimensionless" public_interface="out"/>
      <variable name="P_ATP_c" units="dimensionless" public_interface="in"/>
      <variable name="uGTP_x" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <variable name="GTP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="K_H_ATP" units="molar" public_interface="in"/>
      <variable name="K_Mg_ATP" units="molar" public_interface="in"/>
      <variable name="K_K_ATP" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_GTP_x</ci>
            <ci>P_ATP_x</ci>
         </apply>
         <apply>
            <eq/>
            <ci>P_GTP_i</ci>
            <ci>P_ATP_i</ci>
         </apply>
         <apply>
            <eq/>
            <ci>P_GTP_c</ci>
            <ci>P_ATP_c</ci>
         </apply>
         <apply>
            <eq/>
            <ci>K_H</ci>
            <ci>K_H_ATP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <ci>K_Mg_ATP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <ci>K_K_ATP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>uGTP_x</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>GTP_x</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_x</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_GTP_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_GDP">
      <variable name="P_GDP_x" units="dimensionless" public_interface="out"/>
      <variable name="P_ADP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GDP_i" units="dimensionless" public_interface="out"/>
      <variable name="P_ADP_i" units="dimensionless" public_interface="in"/>
      <variable name="P_GDP_c" units="dimensionless" public_interface="out"/>
      <variable name="P_ADP_c" units="dimensionless" public_interface="in"/>
      <variable name="uGDP_x" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <variable name="GDP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="K_H_ADP" units="molar" public_interface="in"/>
      <variable name="K_Mg_ADP" units="molar" public_interface="in"/>
      <variable name="K_K_ADP" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_GDP_x</ci>
            <ci>P_ADP_x</ci>
         </apply>
         <apply>
            <eq/>
            <ci>P_GDP_i</ci>
            <ci>P_ADP_i</ci>
         </apply>
         <apply>
            <eq/>
            <ci>P_GDP_c</ci>
            <ci>P_ADP_c</ci>
         </apply>
         <apply>
            <eq/>
            <ci>K_H</ci>
            <ci>K_H_ADP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <ci>K_Mg_ADP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <ci>K_K_ADP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>uGDP_x</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>GDP_x</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_x</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_GDP_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_PI">
      <variable name="P_PI_x" units="dimensionless" public_interface="out"/>
      <variable name="P_PI_i" units="dimensionless" public_interface="out"/>
      <variable name="P_PI_c" units="dimensionless" public_interface="out"/>
      <variable name="hPI_x" units="molar" public_interface="out"/>
      <variable name="hPI_i" units="molar" public_interface="out"/>
      <variable name="PI_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="PI_i" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">6.71</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.69</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <cn cellml:units="dimensionless">0.0074</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_PI_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_PI_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_PI_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>hPI_x</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>PI_x</ci>
                     <ci>H_x</ci>
                  </apply>
                  <ci>K_H</ci>
               </apply>
               <ci>P_PI_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>hPI_i</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>PI_i</ci>
                     <ci>H_i</ci>
                  </apply>
                  <ci>K_H</ci>
               </apply>
               <ci>P_PI_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_COASH">
      <variable name="P_COASH_x" units="dimensionless" public_interface="out"/>
      <variable name="P_COASH_i" units="dimensionless" public_interface="out"/>
      <variable name="P_COASH_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">8.13</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_COASH_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_COASH_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_COASH_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_OAA">
      <variable name="P_OAA_x" units="dimensionless" public_interface="out"/>
      <variable name="P_OAA_i" units="dimensionless" public_interface="out"/>
      <variable name="P_OAA_c" units="dimensionless" public_interface="out"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">0.8629</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_OAA_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_OAA_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_OAA_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_CIT">
      <variable name="P_CIT_x" units="dimensionless" public_interface="out"/>
      <variable name="P_CIT_i" units="dimensionless" public_interface="out"/>
      <variable name="P_CIT_c" units="dimensionless" public_interface="out"/>
      <variable name="uCIT_x" units="molar" public_interface="out"/>
      <variable name="uCIT_i" units="molar" public_interface="out"/>
      <variable name="hCIT_x" units="molar" public_interface="out"/>
      <variable name="hCIT_i" units="molar" public_interface="out"/>
      <variable name="CIT_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="CIT_i" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">5.63</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">3.37</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">0.339</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_CIT_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_CIT_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
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               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
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            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_CIT_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>uCIT_x</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>CIT_x</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_x</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_CIT_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>uCIT_i</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>CIT_i</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>H_i</ci>
                        <ci>K_H</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_CIT_i</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>hCIT_x</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>CIT_x</ci>
                     <ci>H_x</ci>
                  </apply>
                  <ci>K_H</ci>
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               <ci>P_CIT_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>hCIT_i</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>CIT_i</ci>
                     <ci>H_i</ci>
                  </apply>
                  <ci>K_H</ci>
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               <ci>P_CIT_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_ICIT">
      <variable name="P_ICIT_x" units="dimensionless" public_interface="out"/>
      <variable name="P_ICIT_i" units="dimensionless" public_interface="out"/>
      <variable name="P_ICIT_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">5.64</cn>
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               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">2.46</cn>
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               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ICIT_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ICIT_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ICIT_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_SCOA">
      <variable name="P_SCOA_x" units="dimensionless" public_interface="out"/>
      <variable name="P_SCOA_i" units="dimensionless" public_interface="out"/>
      <variable name="P_SCOA_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">3.96</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_SCOA_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_SCOA_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_SCOA_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
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            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_SUC">
      <variable name="P_SUC_x" units="dimensionless" public_interface="out"/>
      <variable name="P_SUC_i" units="dimensionless" public_interface="out"/>
      <variable name="P_SUC_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">5.13</cn>
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               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.17</cn>
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               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">0.3525</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_SUC_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_SUC_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_SUC_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_FUM">
      <variable name="P_FUM_x" units="dimensionless" public_interface="out"/>
      <variable name="P_FUM_i" units="dimensionless" public_interface="out"/>
      <variable name="P_FUM_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4.1</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_FUM_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_FUM_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_FUM_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_MAL">
      <variable name="P_MAL_x" units="dimensionless" public_interface="out"/>
      <variable name="P_MAL_i" units="dimensionless" public_interface="out"/>
      <variable name="P_MAL_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4.75</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.55</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_K</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <cn cellml:units="dimensionless">0.107</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_MAL_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_x</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_MAL_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_i</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_MAL_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>K_c</ci>
                  <ci>K_K</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_CO2_tot">
      <variable name="P_CO2_tot_x" units="dimensionless" public_interface="out"/>
      <variable name="P_CO2_tot_i" units="dimensionless" public_interface="out"/>
      <variable name="P_CO2_tot_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">9.82</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_CO2_tot_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_CO2_tot_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_CO2_tot_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_PYR">
      <variable name="P_PYR_x" units="dimensionless" public_interface="out"/>
      <variable name="P_PYR_i" units="dimensionless" public_interface="out"/>
      <variable name="P_PYR_c" units="dimensionless" public_interface="out"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.02</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_PYR_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_PYR_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_PYR_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_G6P">
      <variable name="P_G6P_x" units="dimensionless" public_interface="out"/>
      <variable name="P_G6P_i" units="dimensionless" public_interface="out"/>
      <variable name="P_G6P_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">5.91</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_G6P_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_G6P_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_G6P_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_GLU">
      <variable name="P_GLU_x" units="dimensionless" public_interface="out"/>
      <variable name="P_GLU_i" units="dimensionless" public_interface="out"/>
      <variable name="P_GLU_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4.06</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1.82</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_GLU_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_GLU_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_GLU_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_ASP">
      <variable name="P_ASP_x" units="dimensionless" public_interface="out"/>
      <variable name="P_ASP_i" units="dimensionless" public_interface="out"/>
      <variable name="P_ASP_c" units="dimensionless" public_interface="out"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="Mg_i" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <variable name="K_H" units="molar" public_interface="out"/>
      <variable name="K_Mg" units="molar" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_H</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">3.65</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_Mg</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">2.32</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ASP_x</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_x</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_x</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ASP_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_i</ci>
                  <ci>K_H</ci>
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               <apply>
                  <divide/>
                  <ci>Mg_i</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ASP_c</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>H_c</ci>
                  <ci>K_H</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>Mg_c</ci>
                  <ci>K_Mg</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_GLC">
      <variable name="P_GLC_c" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_GLC_c</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_NAD">
      <variable name="P_NAD_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_NAD_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_NADH">
      <variable name="P_NADH_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_NADH_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_QH2">
      <variable name="P_QH2_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_QH2_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_COQ">
      <variable name="P_COQ_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_COQ_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_ACCOA">
      <variable name="P_ACCOA_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_ACCOA_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_AKG">
      <variable name="P_AKG_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_AKG_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_O2">
      <variable name="P_O2_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_O2_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_FADH2">
      <variable name="P_FADH2_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_FADH2_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_FAD">
      <variable name="P_FAD_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_FAD_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_H">
      <variable name="P_H_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_H_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_Mg">
      <variable name="P_Mg_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_Mg_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="P_K">
      <variable name="P_K_x" units="dimensionless" public_interface="out"/>
      <variable name="K_H" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_Mg" units="molar" initial_value="1e20" public_interface="out"/>
      <variable name="K_K" units="molar" initial_value="1e20" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>P_K_x</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_pdh">
      <variable name="J_pdh" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="PYR_x" units="molar" public_interface="in"/>
      <variable name="COASH_x" units="molar" public_interface="in"/>
      <variable name="NAD_x" units="molar" public_interface="in"/>
      <variable name="CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="ACCOA_x" units="molar" public_interface="in"/>
      <variable name="NADH_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="P_CO2_tot_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ACCOA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NADH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_PYR_x" units="dimensionless" public_interface="in"/>
      <variable name="P_COASH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NAD_x" units="dimensionless" public_interface="in"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_eq_pdh" units="dimensionless"/>
      <variable name="K0_eq_pdh" units="molar"/>
      <variable name="dGr0_pdh" units="kilojoule_per_mole"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="K_mA" units="molar" initial_value="38.3e-6"/>
      <variable name="K_mB" units="molar" initial_value="9.9e-6"/>
      <variable name="K_mC" units="molar" initial_value="60.7e-6"/>
      <variable name="alpha_i1" units="dimensionless"/>
      <variable name="alpha_i2" units="dimensionless"/>
      <variable name="K_iACCOA" units="molar" initial_value="40.2e-6"/>
      <variable name="K_iNADH" units="molar" initial_value="40e-6"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="dGf1_CO2_tot" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ACCOA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NADH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_PYR" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_COASH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NAD" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_H2O" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_pdh</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>dGf1_CO2_tot</ci>
                           <ci>dGf1_ACCOA</ci>
                           <ci>dGf1_NADH</ci>
                        </apply>
                        <ci>dGf1_PYR</ci>
                     </apply>
                     <ci>dGf1_COASH</ci>
                  </apply>
                  <ci>dGf1_NAD</ci>
               </apply>
               <ci>dGf1_H2O</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_pdh</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_pdh</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_pdh</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_pdh</ci>
                  <ci>P_CO2_tot_x</ci>
                  <ci>P_ACCOA_x</ci>
                  <ci>P_NADH_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>H_x</ci>
                  <ci>P_PYR_x</ci>
                  <ci>P_COASH_x</ci>
                  <ci>P_NAD_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i1</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>ACCOA_x</ci>
                  <ci>K_iACCOA</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i2</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>NADH_x</ci>
                  <ci>K_iNADH</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_pdh</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <apply>
                           <minus/>
                           <apply>
                              <times/>
                              <ci>PYR_x</ci>
                              <ci>COASH_x</ci>
                              <ci>NAD_x</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>CO2_tot_x</ci>
                                 <ci>ACCOA_x</ci>
                                 <ci>NADH_x</ci>
                              </apply>
                              <ci>K_eq_pdh</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>K_mC</ci>
                           <ci>alpha_i2</ci>
                           <ci>PYR_x</ci>
                           <ci>COASH_x</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>K_mB</ci>
                           <ci>alpha_i1</ci>
                           <ci>PYR_x</ci>
                           <ci>NAD_x</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>K_mA</ci>
                           <ci>COASH_x</ci>
                           <ci>NAD_x</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>PYR_x</ci>
                           <ci>COASH_x</ci>
                           <ci>NAD_x</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>PYR_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>COASH_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>NAD_x</ci>
                        <ci>minCon</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_cits">
      <variable name="J_cits" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="OAA_x" units="molar" public_interface="in"/>
      <variable name="ACCOA_x" units="molar" public_interface="in"/>
      <variable name="COASH_x" units="molar" public_interface="in"/>
      <variable name="CIT_x" units="molar" public_interface="in"/>
      <variable name="ATP_x" units="molar" public_interface="in"/>
      <variable name="ADP_x" units="molar" public_interface="in"/>
      <variable name="AMP_x" units="molar" public_interface="in"/>
      <variable name="SCOA_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="uATP_x" units="molar" public_interface="in"/>
      <variable name="uADP_x" units="molar" public_interface="in"/>
      <variable name="uAMP_x" units="molar" public_interface="in"/>
      <variable name="uCIT_x" units="molar" public_interface="in"/>
      <variable name="P_CIT_x" units="dimensionless" public_interface="in"/>
      <variable name="P_COASH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ACCOA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_OAA_x" units="dimensionless" public_interface="in"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_eq_cits" units="dimensionless"/>
      <variable name="K0_eq_cits" units="molar_squared"/>
      <variable name="dGr0_cits" units="kilojoule_per_mole"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="K_mA" units="molar" initial_value="4e-6"/>
      <variable name="K_mB" units="molar" initial_value="14e-6"/>
      <variable name="K_ia" units="molar" initial_value="3.33e-6"/>
      <variable name="K_iCIT" units="molar" initial_value="1600e-6"/>
      <variable name="K_iATP" units="molar" initial_value="900e-6"/>
      <variable name="K_iADP" units="molar" initial_value="1800e-6"/>
      <variable name="K_iAMP" units="molar" initial_value="6000e-6"/>
      <variable name="K_iCOASH" units="molar" initial_value="67e-6"/>
      <variable name="K_iSCOA" units="molar" initial_value="140e-6"/>
      <variable name="alpha_i1" units="dimensionless"/>
      <variable name="alpha_i2" units="dimensionless"/>
      <variable name="dGf1_ACCOA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_COASH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_CIT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_OAA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_H2O" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_cits</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>dGf1_COASH</ci>
                        <ci>dGf1_CIT</ci>
                     </apply>
                     <ci>dGf1_ACCOA</ci>
                  </apply>
                  <ci>dGf1_OAA</ci>
               </apply>
               <ci>dGf1_H2O</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_cits</ci>
            <apply>
               <times/>
               <cn cellml:units="molar_squared">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_cits</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_cits</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_cits</ci>
                  <ci>P_CIT_x</ci>
                  <ci>P_COASH_x</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>H_x</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <ci>P_ACCOA_x</ci>
                  <ci>P_OAA_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i1</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>uCIT_x</ci>
                  <ci>K_iCIT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i2</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>uATP_x</ci>
                  <ci>K_iATP</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>uADP_x</ci>
                  <ci>K_iADP</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>uAMP_x</ci>
                  <ci>K_iAMP</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>COASH_x</ci>
                  <ci>K_iCOASH</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>SCOA_x</ci>
                  <ci>K_iSCOA</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_cits</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>ACCOA_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>COASH_x</ci>
                           <ci>CIT_x</ci>
                        </apply>
                        <ci>K_eq_cits</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>K_ia</ci>
                     <ci>K_mB</ci>
                     <ci>alpha_i1</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>K_mA</ci>
                     <ci>alpha_i1</ci>
                     <ci>ACCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>K_mB</ci>
                     <ci>alpha_i2</ci>
                     <ci>OAA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>OAA_x</ci>
                     <ci>ACCOA_x</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_acon">
      <variable name="J_acon" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="CIT_x" units="molar" public_interface="in"/>
      <variable name="ICIT_x" units="molar" public_interface="in"/>
      <variable name="P_CIT_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ICIT_x" units="dimensionless" public_interface="in"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="V_mr" units="mole_per_second_per_l_mito_volume"/>
      <variable name="K_eq_acon" units="dimensionless"/>
      <variable name="K0_eq_acon" units="dimensionless"/>
      <variable name="dGr0_acon" units="kilojoule_per_mole"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="K_mA" units="molar" initial_value="1161e-6"/>
      <variable name="K_mP" units="molar" initial_value="434e-6"/>
      <variable name="dGf1_ICIT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_CIT" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_acon</ci>
            <apply>
               <minus/>
               <ci>dGf1_ICIT</ci>
               <ci>dGf1_CIT</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_acon</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>dGr0_acon</ci>
                  </apply>
                  <ci>RT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_acon</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_acon</ci>
                  <ci>P_ICIT_x</ci>
               </apply>
               <ci>P_CIT_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_mr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>K_mP</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>K_mA</ci>
                  <ci>K_eq_acon</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_acon</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>V_mr</ci>
                  <apply>
                     <minus/>
                     <ci>CIT_x</ci>
                     <apply>
                        <divide/>
                        <ci>ICIT_x</ci>
                        <ci>K_eq_acon</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>K_mA</ci>
                     <ci>V_mr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>CIT_x</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <ci>ICIT_x</ci>
                     </apply>
                     <ci>K_eq_acon</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_isod">
      <variable name="J_isod" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="NAD_x" units="molar" public_interface="in"/>
      <variable name="ICIT_x" units="molar" public_interface="in"/>
      <variable name="AKG_x" units="molar" public_interface="in"/>
      <variable name="NADH_x" units="molar" public_interface="in"/>
      <variable name="CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="fATP_x" units="molar" public_interface="in"/>
      <variable name="fADP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="P_CO2_tot_x" units="dimensionless" public_interface="in"/>
      <variable name="P_AKG_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NADH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NAD_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ICIT_x" units="dimensionless" public_interface="in"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_eq_isod" units="molar"/>
      <variable name="K0_eq_isod" units="molar_cubed"/>
      <variable name="dGr0_isod" units="kilojoule_per_mole"/>
      <variable name="K_mA" units="molar" initial_value="74e-6"/>
      <variable name="K_mB" units="molar" initial_value="183e-6"/>
      <variable name="K_ib" units="molar" initial_value="23.8e-6"/>
      <variable name="K_iq" units="molar" initial_value="29e-6"/>
      <variable name="alpha_i" units="dimensionless"/>
      <variable name="n_H" units="dimensionless" initial_value="3"/>
      <variable name="K_iATP" units="molar" initial_value="91e-6"/>
      <variable name="K_aADP" units="molar" initial_value="50e-6"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_AKG" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NADH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_CO2_tot" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ICIT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NAD" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_H2O" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_isod</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>dGf1_AKG</ci>
                        <ci>dGf1_NADH</ci>
                        <ci>dGf1_CO2_tot</ci>
                     </apply>
                     <ci>dGf1_ICIT</ci>
                  </apply>
                  <ci>dGf1_NAD</ci>
               </apply>
               <ci>dGf1_H2O</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_isod</ci>
            <apply>
               <times/>
               <cn cellml:units="molar_cubed">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_isod</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_isod</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_isod</ci>
                  <ci>P_CO2_tot_x</ci>
                  <ci>P_AKG_x</ci>
                  <ci>P_NADH_x</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>H_x</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <ci>P_NAD_x</ci>
                  <ci>P_ICIT_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>K_aADP</ci>
                     <ci>fADP_x</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>fATP_x</ci>
                        <ci>K_iATP</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_isod</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>CO2_tot_x</ci>
                                 <ci>AKG_x</ci>
                                 <ci>NADH_x</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>K_eq_isod</ci>
                                 <ci>NAD_x</ci>
                                 <ci>ICIT_x</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <apply>
                                 <divide/>
                                 <ci>K_mB</ci>
                                 <ci>ICIT_x</ci>
                              </apply>
                              <ci>n_H</ci>
                           </apply>
                           <ci>alpha_i</ci>
                        </apply>
                        <apply>
                           <times/>
                           <apply>
                              <divide/>
                              <ci>K_mA</ci>
                              <ci>NAD_x</ci>
                           </apply>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <times/>
                                 <apply>
                                    <power/>
                                    <apply>
                                       <divide/>
                                       <ci>K_ib</ci>
                                       <ci>ICIT_x</ci>
                                    </apply>
                                    <ci>n_H</ci>
                                 </apply>
                                 <ci>alpha_i</ci>
                              </apply>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <ci>NADH_x</ci>
                                    <ci>alpha_i</ci>
                                 </apply>
                                 <ci>K_iq</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>NAD_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>ICIT_x</ci>
                        <ci>minCon</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_akgd">
      <variable name="J_akgd" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="AKG_x" units="molar" public_interface="in"/>
      <variable name="COASH_x" units="molar" public_interface="in"/>
      <variable name="NAD_x" units="molar" public_interface="in"/>
      <variable name="CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="SCOA_x" units="molar" public_interface="in"/>
      <variable name="NADH_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="fATP_x" units="molar" public_interface="in"/>
      <variable name="fADP_x" units="molar" public_interface="in"/>
      <variable name="P_CO2_tot_x" units="dimensionless" public_interface="in"/>
      <variable name="P_SCOA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NADH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_AKG_x" units="dimensionless" public_interface="in"/>
      <variable name="P_COASH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NAD_x" units="dimensionless" public_interface="in"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_eq_akgd" units="dimensionless"/>
      <variable name="K0_eq_akgd" units="molar"/>
      <variable name="dGr0_akgd" units="kilojoule_per_mole"/>
      <variable name="K_mA" units="molar" initial_value="80e-6"/>
      <variable name="K_mB" units="molar" initial_value="55e-6"/>
      <variable name="K_mC" units="molar" initial_value="21e-6"/>
      <variable name="K_iq" units="molar" initial_value="6.9e-6"/>
      <variable name="K_ir1" units="molar" initial_value="6.010527470838273e-7"/>
      <variable name="K_ir2" units="molar" initial_value="1e3"/>
      <variable name="K_iATP" units="molar" initial_value="50e-6"/>
      <variable name="K_aADP" units="molar" initial_value="100e-6"/>
      <variable name="alpha_i" units="dimensionless"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_CO2_tot" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_SCOA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NADH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_AKG" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_COASH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NAD" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_H2O" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_akgd</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>dGf1_CO2_tot</ci>
                           <ci>dGf1_SCOA</ci>
                           <ci>dGf1_NADH</ci>
                        </apply>
                        <ci>dGf1_AKG</ci>
                     </apply>
                     <ci>dGf1_COASH</ci>
                  </apply>
                  <ci>dGf1_NAD</ci>
               </apply>
               <ci>dGf1_H2O</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_akgd</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_akgd</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_akgd</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_akgd</ci>
                  <ci>P_CO2_tot_x</ci>
                  <ci>P_SCOA_x</ci>
                  <ci>P_NADH_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>H_x</ci>
                  <ci>P_COASH_x</ci>
                  <ci>P_AKG_x</ci>
                  <ci>P_NAD_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>K_aADP</ci>
                     <ci>fADP_x</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>fATP_x</ci>
                        <ci>K_iATP</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_akgd</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>V_mf</ci>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <ci>CO2_tot_x</ci>
                                    <ci>SCOA_x</ci>
                                    <ci>NADH_x</ci>
                                 </apply>
                                 <apply>
                                    <times/>
                                    <ci>K_eq_akgd</ci>
                                    <ci>AKG_x</ci>
                                    <ci>COASH_x</ci>
                                    <ci>NAD_x</ci>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <plus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <times/>
                              <apply>
                                 <divide/>
                                 <ci>K_mA</ci>
                                 <ci>AKG_x</ci>
                              </apply>
                              <ci>alpha_i</ci>
                           </apply>
                           <apply>
                              <times/>
                              <apply>
                                 <divide/>
                                 <ci>K_mB</ci>
                                 <ci>COASH_x</ci>
                              </apply>
                              <apply>
                                 <plus/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <apply>
                                    <divide/>
                                    <ci>SCOA_x</ci>
                                    <ci>K_iq</ci>
                                 </apply>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <apply>
                                 <divide/>
                                 <ci>K_mC</ci>
                                 <ci>NAD_x</ci>
                              </apply>
                              <apply>
                                 <plus/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <apply>
                                    <divide/>
                                    <ci>NADH_x</ci>
                                    <ci>K_ir1</ci>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>NADH_x</ci>
                           <ci>K_ir2</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>AKG_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>COASH_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>NAD_x</ci>
                        <ci>minCon</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_scoas">
      <variable name="J_scoas" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="GDP_x" units="molar" public_interface="in"/>
      <variable name="SCOA_x" units="molar" public_interface="in"/>
      <variable name="PI_x" units="molar" public_interface="in"/>
      <variable name="COASH_x" units="molar" public_interface="in"/>
      <variable name="SUC_x" units="molar" public_interface="in"/>
      <variable name="GTP_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="P_COASH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_SUC_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GTP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GDP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_SCOA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_PI_x" units="dimensionless" public_interface="in"/>
      <variable name="K_eq_scoas" units="dimensionless"/>
      <variable name="K0_eq_scoas" units="molar"/>
      <variable name="dGr0_scoas" units="kilojoule_per_mole"/>
      <variable name="V_mr" units="mole_per_second_per_l_mito_volume"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_ia" units="molar" initial_value="5.5e-6"/>
      <variable name="K_ib" units="molar" initial_value="100e-6"/>
      <variable name="K_ic" units="molar" initial_value="2000e-6"/>
      <variable name="K_ip" units="molar" initial_value="20e-6"/>
      <variable name="K_iq" units="molar" initial_value="3000e-6"/>
      <variable name="K_ir" units="molar" initial_value="11.1e-6"/>
      <variable name="K_mA" units="molar" initial_value="16e-6"/>
      <variable name="K_mB" units="molar" initial_value="55e-6"/>
      <variable name="K_mC" units="molar" initial_value="660e-6"/>
      <variable name="K_mP" units="molar" initial_value="20e-6"/>
      <variable name="K_mQ" units="molar" initial_value="880e-6"/>
      <variable name="K_mR" units="molar" initial_value="11.1e-6"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_COASH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_SUC" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_GTP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_GDP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_SCOA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_Pi" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_scoas</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>dGf1_COASH</ci>
                        <ci>dGf1_SUC</ci>
                        <ci>dGf1_GTP</ci>
                     </apply>
                     <ci>dGf1_GDP</ci>
                  </apply>
                  <ci>dGf1_SCOA</ci>
               </apply>
               <ci>dGf1_Pi</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_scoas</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_scoas</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_scoas</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_scoas</ci>
                  <ci>P_COASH_x</ci>
                  <ci>P_SUC_x</ci>
                  <ci>P_GTP_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>H_x</ci>
                  <ci>P_GDP_x</ci>
                  <ci>P_SCOA_x</ci>
                  <ci>P_PI_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_mr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>K_mP</ci>
                  <ci>K_iq</ci>
                  <ci>K_ir</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>K_eq_scoas</ci>
                  <ci>K_ia</ci>
                  <ci>K_ib</ci>
                  <ci>K_mC</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_scoas</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>V_mr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>GDP_x</ci>
                        <ci>SCOA_x</ci>
                        <ci>PI_x</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>COASH_x</ci>
                           <ci>SUC_x</ci>
                           <ci>GTP_x</ci>
                        </apply>
                        <ci>K_eq_scoas</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_ia</ci>
                     <ci>K_ib</ci>
                     <ci>K_mC</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_ib</ci>
                     <ci>K_mC</ci>
                     <ci>GDP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_ia</ci>
                     <ci>K_mB</ci>
                     <ci>PI_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_mC</ci>
                     <ci>GDP_x</ci>
                     <ci>SCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_mB</ci>
                     <ci>GDP_x</ci>
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      <variable name="P_NAD_x" units="dimensionless" public_interface="in"/>
      <variable name="K_eq_mdh" units="dimensionless"/>
      <variable name="K0_eq_mdh" units="molar"/>
      <variable name="dGr0_mdh" units="kilojoule_per_mole"/>
      <variable name="V_mr" units="mole_per_second_per_l_mito_volume"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_ia" units="molar" initial_value="279e-6"/>
      <variable name="K_ib" units="molar" initial_value="360e-6"/>
      <variable name="K_ip" units="molar" initial_value="5.5e-6"/>
      <variable name="K_iq" units="molar" initial_value="3.18e-6"/>
      <variable name="K_mNAD" units="molar" initial_value="90.55e-6"/>
      <variable name="K_mMAL" units="molar" initial_value="250e-6"/>
      <variable name="K_mOAA" units="molar" initial_value="6.128e-6"/>
      <variable name="K_mNADH" units="molar" initial_value="2.58e-6"/>
      <variable name="alpha_i" units="dimensionless"/>
      <variable name="K_iATP" units="molar" initial_value="183.2e-6"/>
      <variable name="K_iADP" units="molar" initial_value="394.4e-6"/>
      <variable name="K_iAMP" units="molar" initial_value="420e-6"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_OAA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NADH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NAD" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_MAL" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_mdh</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_OAA</ci>
                     <ci>dGf1_NADH</ci>
                  </apply>
                  <ci>dGf1_NAD</ci>
               </apply>
               <ci>dGf1_MAL</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_mdh</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_mdh</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_mdh</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_mdh</ci>
                  <ci>P_OAA_x</ci>
                  <ci>P_NADH_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>H_x</ci>
                  <ci>P_MAL_x</ci>
                  <ci>P_NAD_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_mr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>K_iq</ci>
                  <ci>K_mOAA</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>K_eq_mdh</ci>
                  <ci>K_ia</ci>
                  <ci>K_mMAL</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>fATP_x</ci>
                  <ci>K_iATP</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>fADP_x</ci>
                  <ci>K_iADP</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>fAMP_x</ci>
                  <ci>K_iAMP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_mdh</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>V_mr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>NAD_x</ci>
                        <ci>MAL_x</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>OAA_x</ci>
                           <ci>NADH_x</ci>
                        </apply>
                        <ci>K_eq_mdh</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_ia</ci>
                     <ci>K_mMAL</ci>
                     <ci>alpha_i</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_mMAL</ci>
                     <ci>NAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>K_mNAD</ci>
                     <ci>alpha_i</ci>
                     <ci>MAL_x</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <ci>K_mNADH</ci>
                        <ci>alpha_i</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <ci>K_eq_mdh</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <ci>K_mOAA</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <ci>K_eq_mdh</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>V_mr</ci>
                     <ci>NAD_x</ci>
                     <ci>MAL_x</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <ci>K_mNADH</ci>
                        <ci>NAD_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>K_eq_mdh</ci>
                        <ci>K_ia</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <ci>OAA_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <ci>K_eq_mdh</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mr</ci>
                        <ci>K_mNAD</ci>
                        <ci>MAL_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <ci>K_iq</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mr</ci>
                        <ci>NAD_x</ci>
                        <ci>MAL_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <ci>K_ip</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_mf</ci>
                        <ci>MAL_x</ci>
                        <ci>OAA_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>K_ib</ci>
                        <ci>K_eq_mdh</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_ndk">
      <variable name="J_ndk_f" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="J_ndk" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="GTP_x" units="molar" public_interface="in"/>
      <variable name="ADP_x" units="molar" public_interface="in"/>
      <variable name="GDP_x" units="molar" public_interface="in"/>
      <variable name="ATP_x" units="molar" public_interface="in"/>
      <variable name="fAMP_x" units="molar" public_interface="in"/>
      <variable name="K_eq_ndk" units="dimensionless"/>
      <variable name="K0_eq_ndk" units="dimensionless"/>
      <variable name="dGr0_ndk" units="kilojoule_per_mole"/>
      <variable name="V_mr" units="mole_per_second_per_l_mito_volume"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="P_GTP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ATP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GDP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ADP_x" units="dimensionless" public_interface="in"/>
      <variable name="K_ia" units="molar" initial_value="170e-6"/>
      <variable name="K_ib" units="molar" initial_value="143.6e-6"/>
      <variable name="K_ip" units="molar" initial_value="146.6e-6"/>
      <variable name="K_iq" units="molar" initial_value="156.5e-6"/>
      <variable name="K_mA" units="molar" initial_value="111e-6"/>
      <variable name="K_mB" units="molar" initial_value="100e-6"/>
      <variable name="K_mP" units="molar" initial_value="260e-6"/>
      <variable name="K_mQ" units="molar" initial_value="278e-6"/>
      <variable name="alpha_i" units="dimensionless"/>
      <variable name="K_iAMP" units="molar" initial_value="650e-6"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_GDP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ATP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_GTP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ADP" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_ndk</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_GDP</ci>
                     <ci>dGf1_ATP</ci>
                  </apply>
                  <ci>dGf1_GTP</ci>
               </apply>
               <ci>dGf1_ADP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_ndk</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>dGr0_ndk</ci>
                  </apply>
                  <ci>RT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_ndk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_ndk</ci>
                  <ci>P_GDP_x</ci>
                  <ci>P_ATP_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_GTP_x</ci>
                  <ci>P_ADP_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_mr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>K_mQ</ci>
                  <ci>K_ip</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>K_eq_ndk</ci>
                  <ci>K_ia</ci>
                  <ci>K_mB</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>fAMP_x</ci>
                  <ci>K_iAMP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_ndk_f</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>V_mf</ci>
                              <ci>V_mr</ci>
                           </apply>
                           <ci>alpha_i</ci>
                        </apply>
                        <ci>GTP_x</ci>
                        <ci>ADP_x</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>V_mr</ci>
                           <ci>K_mB</ci>
                           <ci>GTP_x</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>V_mr</ci>
                           <ci>K_mA</ci>
                           <ci>ADP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>V_mf</ci>
                              <ci>K_mQ</ci>
                              <ci>GDP_x</ci>
                           </apply>
                           <ci>K_eq_ndk</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>V_mf</ci>
                              <ci>K_mP</ci>
                              <ci>ATP_x</ci>
                           </apply>
                           <ci>K_eq_ndk</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>V_mr</ci>
                           <ci>GTP_x</ci>
                           <ci>ADP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>V_mf</ci>
                              <ci>K_mQ</ci>
                              <ci>GTP_x</ci>
                              <ci>GDP_x</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>K_eq_ndk</ci>
                              <ci>K_ia</ci>
                           </apply>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>V_mf</ci>
                              <ci>GDP_x</ci>
                              <ci>ATP_x</ci>
                           </apply>
                           <ci>K_eq_ndk</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>V_mr</ci>
                              <ci>K_mA</ci>
                              <ci>ADP_x</ci>
                              <ci>ATP_x</ci>
                           </apply>
                           <ci>K_iq</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>GTP_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>ADP_x</ci>
                        <ci>minCon</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>J_ndk</ci>
            <piecewise>
               <piece>
                  <apply>
                     <minus/>
                     <ci>J_ndk_f</ci>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <ci>V_mf</ci>
                                    <ci>V_mr</ci>
                                 </apply>
                                 <ci>alpha_i</ci>
                              </apply>
                              <ci>GDP_x</ci>
                              <ci>ATP_x</ci>
                           </apply>
                           <ci>K_eq_ndk</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <ci>V_mr</ci>
                              <ci>K_mB</ci>
                              <ci>GTP_x</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>V_mr</ci>
                              <ci>K_mA</ci>
                              <ci>ADP_x</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V_mf</ci>
                                 <ci>K_mQ</ci>
                                 <ci>GDP_x</ci>
                              </apply>
                              <ci>K_eq_ndk</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V_mf</ci>
                                 <ci>K_mP</ci>
                                 <ci>ATP_x</ci>
                              </apply>
                              <ci>K_eq_ndk</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>V_mr</ci>
                              <ci>GTP_x</ci>
                              <ci>ADP_x</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V_mf</ci>
                                 <ci>K_mQ</ci>
                                 <ci>GTP_x</ci>
                                 <ci>GDP_x</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>K_eq_ndk</ci>
                                 <ci>K_ia</ci>
                              </apply>
                           </apply>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V_mf</ci>
                                 <ci>GDP_x</ci>
                                 <ci>ATP_x</ci>
                              </apply>
                              <ci>K_eq_ndk</ci>
                           </apply>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>V_mr</ci>
                                 <ci>K_mA</ci>
                                 <ci>ADP_x</ci>
                                 <ci>ATP_x</ci>
                              </apply>
                              <ci>K_iq</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>GDP_x</ci>
                        <ci>minCon</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>ATP_x</ci>
                        <ci>minCon</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <ci>J_ndk_f</ci>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_got">
      <variable name="J_got_f" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="J_got" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="ASP_x" units="molar" public_interface="in"/>
      <variable name="AKG_x" units="molar" public_interface="in"/>
      <variable name="OAA_x" units="molar" public_interface="in"/>
      <variable name="GLU_x" units="molar" public_interface="in"/>
      <variable name="P_OAA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ASP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GLU_x" units="dimensionless" public_interface="in"/>
      <variable name="P_AKG_x" units="dimensionless" public_interface="in"/>
      <variable name="K_eq_got" units="dimensionless"/>
      <variable name="K0_eq_got" units="dimensionless"/>
      <variable name="dGr0_got" units="kilojoule_per_mole"/>
      <variable name="V_mr" units="mole_per_second_per_l_mito_volume"/>
      <variable name="V_mf" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="K_ia" units="molar" initial_value="3480e-6"/>
      <variable name="K_ib" units="molar" initial_value="710e-6"/>
      <variable name="K_ip" units="molar" initial_value="50e-6"/>
      <variable name="K_iq" units="molar" initial_value="8400e-6"/>
      <variable name="K_mA" units="molar" initial_value="3900e-6"/>
      <variable name="K_mB" units="molar" initial_value="430e-6"/>
      <variable name="K_mP" units="molar" initial_value="88e-6"/>
      <variable name="K_mQ" units="molar" initial_value="8900e-6"/>
      <variable name="alpha_i" units="dimensionless"/>
      <variable name="K_iAKG" units="molar" initial_value="16.6e-3"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_OAA" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_GLU" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ASP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_AKG" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_got</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_OAA</ci>
                     <ci>dGf1_GLU</ci>
                  </apply>
                  <ci>dGf1_ASP</ci>
               </apply>
               <ci>dGf1_AKG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K0_eq_got</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>dGr0_got</ci>
                  </apply>
                  <ci>RT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_got</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K0_eq_got</ci>
                  <ci>P_GLU_x</ci>
                  <ci>P_OAA_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_ASP_x</ci>
                  <ci>P_AKG_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>V_mr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V_mf</ci>
                  <ci>K_mQ</ci>
                  <ci>K_ip</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>K_eq_got</ci>
                  <ci>K_ia</ci>
                  <ci>K_mB</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_i</ci>
            <apply>
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      <variable name="P_SUC_i" units="dimensionless" public_interface="in"/>
      <variable name="MAL_i" units="molar" public_interface="in"/>
      <variable name="P_MAL_i" units="dimensionless" public_interface="in"/>
      <variable name="SUC_x" units="molar" public_interface="in"/>
      <variable name="P_SUC_x" units="dimensionless" public_interface="in"/>
      <variable name="MAL_x" units="molar" public_interface="in"/>
      <variable name="P_MAL_x" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_SUCMAL</ci>
            <apply>
               <times/>
               <ci>X_SUCMAL</ci>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>SUC_i</ci>
                           <ci>P_SUC_i</ci>
                        </apply>
                        <ci>MAL_x</ci>
                     </apply>
                     <ci>P_MAL_x</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>SUC_x</ci>
                           <ci>P_SUC_x</ci>
                        </apply>
                        <ci>MAL_i</ci>
                     </apply>
                     <ci>P_MAL_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_PYRt">
      <variable name="J_PYRt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="PYR_c" units="molar" public_interface="in"/>
      <variable name="PYR_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_PYRt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>PYR_c</ci>
                  <ci>PYR_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_CITt">
      <variable name="J_CITt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="CIT_c" units="molar" public_interface="in"/>
      <variable name="CIT_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_CITt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>CIT_c</ci>
                  <ci>CIT_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_MALt">
      <variable name="J_MALt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="MAL_c" units="molar" public_interface="in"/>
      <variable name="MAL_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_MALt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>MAL_c</ci>
                  <ci>MAL_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_AKGt">
      <variable name="J_AKGt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="AKG_c" units="molar" public_interface="in"/>
      <variable name="AKG_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_AKGt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>AKG_c</ci>
                  <ci>AKG_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_SUCt">
      <variable name="J_SUCt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="SUC_c" units="molar" public_interface="in"/>
      <variable name="SUC_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_SUCt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>SUC_c</ci>
                  <ci>SUC_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_GLUt">
      <variable name="J_GLUt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="GLU_c" units="molar" public_interface="in"/>
      <variable name="GLU_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_GLUt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>GLU_c</ci>
                  <ci>GLU_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_ASPt">
      <variable name="J_ASPt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="ASP_c" units="molar" public_interface="in"/>
      <variable name="ASP_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_ASPt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>ASP_c</ci>
                  <ci>ASP_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_FUMt">
      <variable name="J_FUMt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="zero" units="micrometer_per_second" initial_value="0"/>
      <variable name="FUM_c" units="molar" public_interface="in"/>
      <variable name="FUM_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_FUMt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>zero</ci>
               <apply>
                  <minus/>
                  <ci>FUM_c</ci>
                  <ci>FUM_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_ICITt">
      <variable name="J_ICITt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_TI" units="micrometer_per_second" public_interface="in"/>
      <variable name="ICIT_c" units="molar" public_interface="in"/>
      <variable name="ICIT_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_ICITt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_TI</ci>
               <apply>
                  <minus/>
                  <ci>ICIT_c</ci>
                  <ci>ICIT_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_ADPt">
      <variable name="J_ADPt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_A" units="micrometer_per_second" public_interface="in"/>
      <variable name="ADP_c" units="molar" public_interface="in"/>
      <variable name="ADP_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_ADPt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_A</ci>
               <apply>
                  <minus/>
                  <ci>ADP_c</ci>
                  <ci>ADP_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_ATPt">
      <variable name="J_ATPt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_A" units="micrometer_per_second" public_interface="in"/>
      <variable name="ATP_c" units="molar" public_interface="in"/>
      <variable name="ATP_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_ATPt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_A</ci>
               <apply>
                  <minus/>
                  <ci>ATP_c</ci>
                  <ci>ATP_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_AMPt">
      <variable name="J_AMPt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_A" units="micrometer_per_second" public_interface="in"/>
      <variable name="AMP_c" units="molar" public_interface="in"/>
      <variable name="AMP_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_AMPt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_A</ci>
               <apply>
                  <minus/>
                  <ci>AMP_c</ci>
                  <ci>AMP_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_PIt">
      <variable name="J_PIt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="gamma" units="per_micrometer" public_interface="in"/>
      <variable name="p_PI" units="micrometer_per_second" public_interface="in"/>
      <variable name="PI_c" units="molar" public_interface="in"/>
      <variable name="PI_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_PIt</ci>
            <apply>
               <times/>
               <ci>gamma</ci>
               <ci>p_PI</ci>
               <apply>
                  <minus/>
                  <ci>PI_c</ci>
                  <ci>PI_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_C1">
      <variable name="J_C1" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_C1" units="mole_per_second_per_l_mito_volume_per_molar_per_molar" public_interface="in"/>
      <variable name="dGr0_C1" units="kilojoule_per_mole"/>
      <variable name="K_eq_C1" units="per_molar"/>
      <variable name="K_app_C1" units="dimensionless"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="dPsi" units="millivolt" public_interface="in"/>
      <variable name="F" units="kilojoule_per_mole_per_millivolt" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="NAD_x" units="molar" public_interface="in"/>
      <variable name="NADH_x" units="molar" public_interface="in"/>
      <variable name="QH2_x" units="molar" public_interface="in"/>
      <variable name="COQ_x" units="molar" public_interface="in"/>
      <variable name="dGf1_NAD" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_QH2" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_NADH" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_COQ" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_C1</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_NAD</ci>
                     <ci>dGf1_QH2</ci>
                  </apply>
                  <ci>dGf1_NADH</ci>
               </apply>
               <ci>dGf1_COQ</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_C1</ci>
            <apply>
               <times/>
               <cn cellml:units="per_molar">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>dGr0_C1</ci>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">4</cn>
                              <ci>F</ci>
                              <ci>dPsi</ci>
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                        </apply>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_app_C1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_eq_C1</ci>
                  <apply>
                     <power/>
                     <ci>H_x</ci>
                     <cn cellml:units="dimensionless">5</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>H_i</ci>
                  <cn cellml:units="dimensionless">4</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_C1</ci>
            <apply>
               <times/>
               <ci>X_C1</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>K_app_C1</ci>
                     <ci>NADH_x</ci>
                     <ci>COQ_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>NAD_x</ci>
                     <ci>QH2_x</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_C3">
      <variable name="J_C3" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_C3" units="mole_per_second_per_l_mito_volume_per_molar_per_half_molar" public_interface="in"/>
      <variable name="k_PI_1" units="molar" public_interface="in"/>
      <variable name="k_PI_2" units="molar" public_interface="in"/>
      <variable name="dGr0_C3" units="kilojoule_per_mole"/>
      <variable name="K_eq_C3" units="molar_squared"/>
      <variable name="K_app_C3" units="dimensionless"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="dPsi" units="millivolt" public_interface="in"/>
      <variable name="F" units="kilojoule_per_mole_per_millivolt" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="PI_x" units="molar" public_interface="in"/>
      <variable name="QH2_x" units="molar"/>
      <variable name="QH2_x_in" units="molar" public_interface="in"/>
      <variable name="COQ_x" units="molar"/>
      <variable name="COQ_x_in" units="molar" public_interface="in"/>
      <variable name="Cred_i" units="molar" public_interface="in"/>
      <variable name="Cox_i" units="molar" public_interface="in"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="dGf1_COQ" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_Cred" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_QH2" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_Cox" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_C3</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_COQ</ci>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>dGf1_Cred</ci>
                     </apply>
                  </apply>
                  <ci>dGf1_QH2</ci>
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               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>dGf1_Cox</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_C3</ci>
            <apply>
               <times/>
               <cn cellml:units="molar_squared">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>dGr0_C3</ci>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>F</ci>
                              <ci>dPsi</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_app_C3</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_eq_C3</ci>
                  <apply>
                     <power/>
                     <ci>H_x</ci>
                     <cn cellml:units="dimensionless">2</cn>
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               </apply>
               <apply>
                  <power/>
                  <ci>H_x</ci>
                  <cn cellml:units="dimensionless">4</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>QH2_x</ci>
            <piecewise>
               <piece>
                  <ci>QH2_x_in</ci>
                  <apply>
                     <gt/>
                     <ci>QH2_x_in</ci>
                     <ci>minCon</ci>
                  </apply>
               </piece>
               <otherwise>
                  <ci>minCon</ci>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>COQ_x</ci>
            <piecewise>
               <piece>
                  <ci>COQ_x_in</ci>
                  <apply>
                     <gt/>
                     <ci>COQ_x_in</ci>
                     <ci>minCon</ci>
                  </apply>
               </piece>
               <otherwise>
                  <ci>minCon</ci>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>J_C3</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>X_C3</ci>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>PI_x</ci>
                           <ci>k_PI_1</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>PI_x</ci>
                        <ci>k_PI_2</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <apply>
                        <root/>
                        <ci>K_app_C3</ci>
                     </apply>
                     <ci>Cox_i</ci>
                     <apply>
                        <root/>
                        <ci>QH2_x</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Cred_i</ci>
                     <apply>
                        <root/>
                        <ci>COQ_x</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_C4">
      <variable name="J_C4" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_C4" units="mole_per_second_per_l_mito_volume_per_molar" public_interface="in"/>
      <variable name="dGr0_C4" units="kilojoule_per_mole"/>
      <variable name="K_eq_C4" units="dimensionless"/>
      <variable name="K_app_C4" units="dimensionless"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="dPsi" units="millivolt" public_interface="in"/>
      <variable name="F" units="kilojoule_per_mole_per_millivolt" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="O2_x" units="molar"/>
      <variable name="O2_x_in" units="molar" public_interface="in"/>
      <variable name="k_O2" units="molar" public_interface="in"/>
      <variable name="cytC_tot" units="molar" public_interface="in"/>
      <variable name="Cred_i" units="molar" public_interface="in"/>
      <variable name="Cox_i" units="molar" public_interface="in"/>
      <variable name="minCon" units="molar" initial_value="1e-32"/>
      <variable name="dGf1_Cox" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_H2O" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_Cred" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_O2" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_C4</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>dGf1_Cox</ci>
                     </apply>
                     <ci>dGf1_H2O</ci>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>dGf1_Cred</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0.5</cn>
                  <ci>dGf1_O2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_C4</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>dGr0_C4</ci>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">4</cn>
                           <ci>F</ci>
                           <ci>dPsi</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>RT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_app_C4</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_eq_C4</ci>
                  <apply>
                     <power/>
                     <ci>H_x</ci>
                     <cn cellml:units="dimensionless">4</cn>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <ci>H_i</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="molar">1</cn>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>O2_x</ci>
            <piecewise>
               <piece>
                  <ci>O2_x_in</ci>
                  <apply>
                     <gt/>
                     <ci>O2_x_in</ci>
                     <ci>minCon</ci>
                  </apply>
               </piece>
               <otherwise>
                  <ci>minCon</ci>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>J_C4</ci>
            <apply>
               <times/>
               <ci>X_C4</ci>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>O2_x</ci>
                     <apply>
                        <plus/>
                        <ci>O2_x</ci>
                        <ci>k_O2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>F</ci>
                           <ci>dPsi</ci>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>Cred_i</ci>
                     <ci>cytC_tot</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <apply>
                        <power/>
                        <ci>K_app_C4</ci>
                        <apply>
                           <divide/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <ci>Cred_i</ci>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>O2_x</ci>
                           <cn cellml:units="molar">1</cn>
                        </apply>
                        <apply>
                           <divide/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>Cox_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_F1">
      <variable name="J_F1" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_F1" units="mole_per_second_per_l_mito_volume_per_molar" public_interface="in"/>
      <variable name="dGr0_F1" units="kilojoule_per_mole"/>
      <variable name="K_eq_F1" units="per_molar_squared"/>
      <variable name="K_app_F1" units="per_molar"/>
      <variable name="H_x" units="molar" public_interface="in" private_interface="out"/>
      <variable name="H_i" units="molar" public_interface="in" private_interface="out"/>
      <variable name="P_ATP_x" units="dimensionless" public_interface="in" private_interface="out"/>
      <variable name="P_ADP_x" units="dimensionless" public_interface="in" private_interface="out"/>
      <variable name="P_PI_x" units="dimensionless" public_interface="in" private_interface="out"/>
      <variable name="dPsi" units="millivolt" public_interface="in" private_interface="out"/>
      <variable name="F" units="kilojoule_per_mole_per_millivolt" public_interface="in" private_interface="out"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in" private_interface="out"/>
      <variable name="n_A" units="dimensionless" public_interface="in" private_interface="out"/>
      <variable name="ATP_x" units="molar" public_interface="in"/>
      <variable name="ADP_x" units="molar" public_interface="in"/>
      <variable name="PI_x" units="molar" public_interface="in"/>
      <variable name="dGf1_ATP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_H2O" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ADP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_PI" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_F1</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_ATP</ci>
                     <ci>dGf1_H2O</ci>
                  </apply>
                  <ci>dGf1_ADP</ci>
               </apply>
               <ci>dGf1_PI</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_F1</ci>
            <apply>
               <divide/>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <ci>dGr0_F1</ci>
                           <apply>
                              <times/>
                              <ci>n_A</ci>
                              <ci>F</ci>
                              <ci>dPsi</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
               <cn cellml:units="molar_squared">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_app_F1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_eq_F1</ci>
                        <apply>
                           <power/>
                           <ci>H_i</ci>
                           <ci>n_A</ci>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <ci>H_x</ci>
                        <apply>
                           <minus/>
                           <ci>n_A</ci>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_ATP_x</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_ADP_x</ci>
                  <ci>P_PI_x</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_F1</ci>
            <apply>
               <times/>
               <ci>X_F1</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>K_app_F1</ci>
                     <ci>ADP_x</ci>
                     <ci>PI_x</ci>
                  </apply>
                  <ci>ATP_x</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_ANT">
      <variable name="J_ANT" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="theta" units="dimensionless" public_interface="in"/>
      <variable name="X_ANT" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="k_mADP" units="molar" public_interface="in"/>
      <variable name="ADP_i" units="molar" public_interface="in"/>
      <variable name="P_ADP_i" units="dimensionless" public_interface="in"/>
      <variable name="ATP_i" units="molar" public_interface="in"/>
      <variable name="P_ATP_i" units="dimensionless" public_interface="in"/>
      <variable name="ADP_x" units="molar" public_interface="in"/>
      <variable name="P_ADP_x" units="dimensionless" public_interface="in"/>
      <variable name="ATP_x" units="molar" public_interface="in"/>
      <variable name="P_ATP_x" units="dimensionless" public_interface="in"/>
      <variable name="dPsi" units="millivolt" public_interface="in"/>
      <variable name="F" units="kilojoule_per_mole_per_millivolt" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="minCond" units="molar" initial_value="1e-9"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_ANT</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <ci>X_ANT</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <divide/>
                           <apply>
                              <divide/>
                              <ci>ADP_i</ci>
                              <ci>P_ADP_i</ci>
                           </apply>
                           <apply>
                              <plus/>
                              <apply>
                                 <divide/>
                                 <ci>ADP_i</ci>
                                 <ci>P_ADP_i</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <apply>
                                    <divide/>
                                    <ci>ATP_i</ci>
                                    <ci>P_ATP_i</ci>
                                 </apply>
                                 <apply>
                                    <exp/>
                                    <apply>
                                       <divide/>
                                       <apply>
                                          <times/>
                                          <ci>theta</ci>
                                          <ci>F</ci>
                                          <ci>dPsi</ci>
                                       </apply>
                                       <ci>RT</ci>
                                    </apply>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <divide/>
                           <apply>
                              <divide/>
                              <ci>ADP_x</ci>
                              <ci>P_ADP_x</ci>
                           </apply>
                           <apply>
                              <plus/>
                              <apply>
                                 <divide/>
                                 <ci>ADP_x</ci>
                                 <ci>P_ADP_x</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <apply>
                                    <divide/>
                                    <ci>ATP_x</ci>
                                    <ci>P_ATP_x</ci>
                                 </apply>
                                 <apply>
                                    <exp/>
                                    <apply>
                                       <divide/>
                                       <apply>
                                          <times/>
                                          <ci>theta</ci>
                                          <apply>
                                             <minus/>
                                             <ci>F</ci>
                                             <cn cellml:units="kilojoule_per_mole_per_millivolt">1</cn>
                                          </apply>
                                          <ci>dPsi</ci>
                                       </apply>
                                       <ci>RT</ci>
                                    </apply>
                                 </apply>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <ci>ADP_i</ci>
                           <ci>P_ADP_i</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <apply>
                              <divide/>
                              <ci>ADP_i</ci>
                              <ci>P_ADP_i</ci>
                           </apply>
                           <ci>k_mADP</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <and/>
                     <apply>
                        <gt/>
                        <ci>ADP_i</ci>
                        <ci>minCond</ci>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>ATP_x</ci>
                        <ci>minCond</ci>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_PIHt">
      <variable name="J_PIHt" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_PIHt" units="mole_per_second_per_l_mito_volume_per_molar" public_interface="in"/>
      <variable name="k_PIHt" units="molar" public_interface="in"/>
      <variable name="hPI_i" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="hPI_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_PIHt</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>X_PIHt</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>hPI_i</ci>
                        <ci>H_i</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>hPI_x</ci>
                        <ci>H_x</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_PIHt</ci>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>hPI_i</ci>
                        <ci>k_PIHt</ci>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>hPI_x</ci>
                        <ci>k_PIHt</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_Hle">
      <variable name="J_Hle" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_Hle" units="mole_per_second_per_l_mito_volume_per_molar_per_mv" public_interface="in"/>
      <variable name="dPsi" units="millivolt" public_interface="in"/>
      <variable name="F" units="kilojoule_per_mole_per_millivolt" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="n_A" units="dimensionless" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="minCond" units="millivolt" initial_value="1e-9"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_Hle</ci>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>X_Hle</ci>
                        <ci>dPsi</ci>
                        <apply>
                           <minus/>
                           <apply>
                              <times/>
                              <ci>H_i</ci>
                              <apply>
                                 <exp/>
                                 <apply>
                                    <divide/>
                                    <apply>
                                       <times/>
                                       <ci>F</ci>
                                       <ci>dPsi</ci>
                                    </apply>
                                    <ci>RT</ci>
                                 </apply>
                              </apply>
                           </apply>
                           <ci>H_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>F</ci>
                                 <ci>dPsi</ci>
                              </apply>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
                  <apply>
                     <gt/>
                     <apply>
                        <abs/>
                        <ci>dPsi</ci>
                     </apply>
                     <ci>minCond</ci>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>X_Hle</ci>
                        <ci>RT</ci>
                        <apply>
                           <minus/>
                           <ci>H_i</ci>
                           <ci>H_x</ci>
                        </apply>
                     </apply>
                     <ci>F</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_KH">
      <variable name="J_KH" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_KH" units="mole_per_second_per_l_mito_volume_per_molar_per_molar" public_interface="in"/>
      <variable name="K_i" units="molar" public_interface="in"/>
      <variable name="H_i" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_KH</ci>
            <apply>
               <times/>
               <ci>X_KH</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>K_i</ci>
                     <ci>H_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>K_x</ci>
                     <ci>H_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_HK">
      <variable name="J_HK" units="mole_per_second_per_l_cyto_volume" public_interface="out"/>
      <variable name="X_HK" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <variable name="dGr0_HK" units="kilojoule_per_mole"/>
      <variable name="mATP_c" units="molar" public_interface="in"/>
      <variable name="mADP_c" units="molar" public_interface="in"/>
      <variable name="GLC_c" units="molar" public_interface="in"/>
      <variable name="G6P_c" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="K_ia" units="molar" initial_value="1e-3"/>
      <variable name="K_ib" units="molar" initial_value="47e-6"/>
      <variable name="K_ip" units="molar" initial_value="47e-6"/>
      <variable name="K_iq" units="molar" initial_value="1e-3"/>
      <variable name="K_mA" units="molar" initial_value="1e-3"/>
      <variable name="K_mB" units="molar" initial_value="47e-6"/>
      <variable name="K_mP" units="molar" initial_value="47e-6"/>
      <variable name="K_mQ" units="molar" initial_value="1e-3"/>
      <variable name="Ki_G6P" units="molar" initial_value="10e-6"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="P_ATP_c" units="dimensionless" public_interface="in"/>
      <variable name="P_ADP_c" units="dimensionless" public_interface="in"/>
      <variable name="P_G6P_c" units="dimensionless" public_interface="in"/>
      <variable name="P_GLC_c" units="dimensionless" public_interface="in"/>
      <variable name="KMg_ATP" units="molar" public_interface="in"/>
      <variable name="KMg_ADP" units="molar" public_interface="in"/>
      <variable name="K_eq_HK" units="molar"/>
      <variable name="Kapp_HK" units="dimensionless"/>
      <variable name="Kapp_HK_m" units="dimensionless"/>
      <variable name="dGf1_G6P" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ADP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_GLC" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ATP" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_HK</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>dGf1_G6P</ci>
                     <ci>dGf1_ADP</ci>
                  </apply>
                  <ci>dGf1_GLC</ci>
               </apply>
               <ci>dGf1_ATP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_HK</ci>
            <apply>
               <times/>
               <cn cellml:units="molar">1</cn>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>dGr0_HK</ci>
                     </apply>
                     <ci>RT</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_HK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_eq_HK</ci>
                  <ci>P_G6P_c</ci>
                  <ci>P_ADP_c</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>H_c</ci>
                  <ci>P_ATP_c</ci>
                  <ci>P_GLC_c</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_HK_m</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Kapp_HK</ci>
                  <ci>KMg_ATP</ci>
                  <ci>P_ATP_c</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>KMg_ADP</ci>
                  <ci>P_ADP_c</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_HK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>X_HK</ci>
                     <apply>
                        <times/>
                        <ci>K_ib</ci>
                        <ci>K_mA</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>mATP_c</ci>
                        <ci>GLC_c</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>G6P_c</ci>
                           <ci>mADP_c</ci>
                        </apply>
                        <ci>Kapp_HK_m</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>mATP_c</ci>
                     <ci>K_ia</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>GLC_c</ci>
                     <ci>K_ib</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>mATP_c</ci>
                        <ci>GLC_c</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>K_ib</ci>
                        <ci>K_mA</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>G6P_c</ci>
                     <ci>K_ip</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>mADP_c</ci>
                     <ci>K_iq</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>G6P_c</ci>
                        <ci>mADP_c</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>K_iq</ci>
                        <ci>K_mP</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>G6P_c</ci>
                        <ci>GLC_c</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Ki_G6P</ci>
                        <ci>K_ib</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_CKc">
      <variable name="J_CKc" units="mole_per_second_per_l_cyto_volume" public_interface="out"/>
      <variable name="X_CK" units="mole_per_second_per_l_cyto_volume_per_molar_per_molar" initial_value="1e7"/>
      <variable name="K_CK" units="per_molar"/>
      <variable name="ATP_c" units="molar" public_interface="in"/>
      <variable name="ADP_c" units="molar" public_interface="in"/>
      <variable name="AMP_c" units="molar" public_interface="in"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <variable name="PCr_c" units="molar" public_interface="in"/>
      <variable name="Cr_c" units="molar"/>
      <variable name="CR_tot" units="molar" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="P_ATP_c" units="dimensionless" public_interface="in"/>
      <variable name="P_ADP_c" units="dimensionless" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Cr_c</ci>
            <apply>
               <minus/>
               <ci>CR_tot</ci>
               <ci>PCr_c</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_CK</ci>
            <apply>
               <divide/>
               <apply>
                  <exp/>
                  <apply>
                     <divide/>
                     <cn cellml:units="kilojoule_per_mole">50.78</cn>
                     <ci>RT</ci>
                  </apply>
               </apply>
               <cn cellml:units="molar">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_CKc</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mole_per_second_per_l_cyto_volume">0</cn>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>X_CK</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>K_CK</ci>
                                 <ci>ADP_c</ci>
                              </apply>
                              <ci>P_ADP_c</ci>
                           </apply>
                           <ci>PCr_c</ci>
                           <ci>H_c</ci>
                        </apply>
                        <apply>
                           <times/>
                           <apply>
                              <divide/>
                              <ci>ATP_c</ci>
                              <ci>P_ATP_c</ci>
                           </apply>
                           <ci>Cr_c</ci>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="J_AK">
      <variable name="J_AKi" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="J_AKc" units="mole_per_second_per_l_mito_volume" public_interface="out"/>
      <variable name="X_AK" units="mole_per_second_per_l_mito_volume_per_molar_per_molar" initial_value="1e7"/>
      <variable name="dGr0_AK" units="kilojoule_per_mole"/>
      <variable name="K_eq_AK" units="dimensionless"/>
      <variable name="Kapp_AKi" units="dimensionless"/>
      <variable name="Kapp_AKc" units="dimensionless"/>
      <variable name="ATP_i" units="molar" public_interface="in"/>
      <variable name="ADP_i" units="molar" public_interface="in"/>
      <variable name="AMP_i" units="molar" public_interface="in"/>
      <variable name="P_ATP_i" units="dimensionless" public_interface="in"/>
      <variable name="P_ADP_i" units="dimensionless" public_interface="in"/>
      <variable name="P_AMP_i" units="dimensionless" public_interface="in"/>
      <variable name="ATP_c" units="molar" public_interface="in"/>
      <variable name="ADP_c" units="molar" public_interface="in"/>
      <variable name="AMP_c" units="molar" public_interface="in"/>
      <variable name="P_ATP_c" units="dimensionless" public_interface="in"/>
      <variable name="P_ADP_c" units="dimensionless" public_interface="in"/>
      <variable name="P_AMP_c" units="dimensionless" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="RT" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ATP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_ADP" units="kilojoule_per_mole" public_interface="in"/>
      <variable name="dGf1_AMP" units="kilojoule_per_mole" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dGr0_AK</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>dGf1_ATP</ci>
                  <ci>dGf1_AMP</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>dGf1_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_eq_AK</ci>
            <apply>
               <exp/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <ci>dGr0_AK</ci>
                  </apply>
                  <ci>RT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_AKi</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_eq_AK</ci>
                  <ci>P_ATP_i</ci>
                  <ci>P_AMP_i</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_ADP_i</ci>
                  <ci>P_ADP_i</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_AKc</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>K_eq_AK</ci>
                  <ci>P_ATP_c</ci>
                  <ci>P_AMP_c</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_ADP_c</ci>
                  <ci>P_ADP_c</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_AKi</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>X_AK</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>Kapp_AKi</ci>
                           <ci>ADP_i</ci>
                           <ci>ADP_i</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>AMP_i</ci>
                           <ci>ATP_i</ci>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>J_AKc</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mole_per_second_per_l_mito_volume">0</cn>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>X_AK</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>Kapp_AKc</ci>
                           <ci>ADP_c</ci>
                           <ci>ADP_c</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>AMP_c</ci>
                           <ci>ATP_c</ci>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="ddPsi_dt">
      <variable name="dPsi" units="millivolt" initial_value="-14.087" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="C_IM" units="mole_per_l_mito_volume_per_mv" public_interface="in"/>
      <variable name="J_C1" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_C3" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_C4" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_F1" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ANT" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_Hle" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ASPGLU" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="n_A" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>dPsi</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">4</cn>
                                 <ci>J_C1</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">2</cn>
                                 <ci>J_C3</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">4</cn>
                                 <ci>J_C4</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>n_A</ci>
                              <ci>J_F1</ci>
                           </apply>
                        </apply>
                        <ci>J_ANT</ci>
                     </apply>
                     <ci>J_Hle</ci>
                  </apply>
                  <ci>J_ASPGLU</ci>
               </apply>
               <ci>C_IM</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dNAD_x_dt">
      <variable name="NAD_x" units="molar" public_interface="out"/>
      <variable name="dNAD_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="NAD_tot" units="molar" public_interface="in"/>
      <variable name="NADH_x" units="molar" public_interface="in"/>
      <variable name="dNADH_x_dt" units="molar_per_second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>NAD_x</ci>
            <apply>
               <minus/>
               <ci>NAD_tot</ci>
               <ci>NADH_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNAD_x_dt</ci>
            <apply>
               <minus/>
               <ci>dNADH_x_dt</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dCOQ_x_dt">
      <variable name="COQ_x" units="molar" public_interface="out"/>
      <variable name="dCOQ_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="Q_tot" units="molar" public_interface="in"/>
      <variable name="QH2_x" units="molar" public_interface="in"/>
      <variable name="dQH2_x_dt" units="molar_per_second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>COQ_x</ci>
            <apply>
               <minus/>
               <ci>Q_tot</ci>
               <ci>QH2_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dCOQ_x_dt</ci>
            <apply>
               <minus/>
               <ci>dQH2_x_dt</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dCox_i_dt">
      <variable name="Cox_i" units="molar" public_interface="out"/>
      <variable name="cytC_tot" units="molar" public_interface="in"/>
      <variable name="Cred_i" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Cox_i</ci>
            <apply>
               <minus/>
               <ci>cytC_tot</ci>
               <ci>Cred_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dATP_x_dt">
      <variable name="ATP_x" units="molar" initial_value="1.025e-11" public_interface="out"/>
      <variable name="dATP_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_ndk" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_F1" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ANT" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ATP_x</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>J_ndk</ci>
                     <ci>J_F1</ci>
                  </apply>
                  <ci>J_ANT</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dATP_x_dt</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>J_ndk</ci>
                     <ci>J_F1</ci>
                  </apply>
                  <ci>J_ANT</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dADP_x_dt">
      <variable name="ADP_x" units="molar" initial_value="0.01" public_interface="out"/>
      <variable name="dADP_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_ndk" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_F1" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ANT" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ADP_x</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <ci>J_ndk</ci>
                     </apply>
                     <ci>J_F1</ci>
                  </apply>
                  <ci>J_ANT</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dADP_x_dt</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <ci>J_ndk</ci>
                     </apply>
                     <ci>J_F1</ci>
                  </apply>
                  <ci>J_ANT</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dAMP_x_dt">
      <variable name="AMP_x" units="molar" initial_value="1e-6" public_interface="out"/>
      <variable name="dAMP_x_dt" units="molar_per_second" initial_value="0" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>AMP_x</ci>
            </apply>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dGTP_x_dt">
      <variable name="GTP_x" units="molar" initial_value="2.7157e-10" public_interface="out"/>
      <variable name="dGTP_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_ndk" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_scoas" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>GTP_x</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>J_scoas</ci>
                  <ci>J_ndk</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dGTP_x_dt</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>J_scoas</ci>
                  <ci>J_ndk</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dGDP_x_dt">
      <variable name="GDP_x" units="molar" initial_value="0.005" public_interface="out"/>
      <variable name="dGDP_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
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                  <ci>time</ci>
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               <ci>GDP_x</ci>
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                  <ci>J_ndk</ci>
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            <ci>dGDP_x_dt</ci>
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                  <ci>J_ndk</ci>
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               <ci>W_x</ci>
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      </math>
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      <variable name="PI_x" units="molar" initial_value="2.9918e-4" public_interface="out"/>
      <variable name="dPI_x_dt" units="molar_per_second" public_interface="out"/>
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                  <ci>time</ci>
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                        <minus/>
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                  <ci>J_MALPI</ci>
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            <ci>dPI_x_dt</ci>
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                  <minus/>
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                        <minus/>
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                           <minus/>
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                  <ci>J_MALPI</ci>
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               <ci>W_x</ci>
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      </math>
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      <variable name="NADH_x" units="molar" initial_value="8.484200000000001e-21" public_interface="out"/>
      <variable name="dNADH_x_dt" units="molar_per_second" public_interface="out"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>NADH_x</ci>
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                  <minus/>
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                     <plus/>
                     <ci>J_pdh</ci>
                     <ci>J_isod</ci>
                     <ci>J_akgd</ci>
                     <ci>J_mdh</ci>
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                  <ci>J_C1</ci>
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               <ci>W_x</ci>
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            <ci>dNADH_x_dt</ci>
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                  <minus/>
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                     <ci>J_pdh</ci>
                     <ci>J_isod</ci>
                     <ci>J_akgd</ci>
                     <ci>J_mdh</ci>
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                  <ci>J_C1</ci>
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               <ci>W_x</ci>
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      </math>
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   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dQH2_x_dt">
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      <variable name="dQH2_x_dt" units="molar_per_second" public_interface="out"/>
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      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_sdh" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>QH2_x</ci>
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            <apply>
               <divide/>
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                  <minus/>
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                     <plus/>
                     <ci>J_sdh</ci>
                     <ci>J_C1</ci>
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                  <ci>J_C3</ci>
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               <ci>W_x</ci>
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            <eq/>
            <ci>dQH2_x_dt</ci>
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               <divide/>
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                  <minus/>
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                     <plus/>
                     <ci>J_sdh</ci>
                     <ci>J_C1</ci>
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                  <ci>J_C3</ci>
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               <ci>W_x</ci>
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         </apply>
      </math>
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      <variable name="PYR_x" units="molar" initial_value="1.2076e-11" public_interface="out"/>
      <variable name="dPYR_x_dt" units="molar_per_second" public_interface="out"/>
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      <variable name="J_PYRH" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>PYR_x</ci>
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            <apply>
               <divide/>
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                  <plus/>
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                     <minus/>
                     <ci>J_pdh</ci>
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                  <ci>J_PYRH</ci>
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         </apply>
         <apply>
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            <ci>dPYR_x_dt</ci>
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               <divide/>
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                  <plus/>
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                  <ci>J_PYRH</ci>
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               <ci>W_x</ci>
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      </math>
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      <variable name="dACCOA_x_dt" units="molar_per_second" public_interface="out"/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>ACCOA_x</ci>
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            <ci>dACCOA_x_dt</ci>
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                  <ci>time</ci>
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                  <ci>time</ci>
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      <variable name="J_SUCMAL" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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               <bvar>
                  <ci>time</ci>
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               <ci>MAL_x</ci>
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                  <minus/>
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                     <minus/>
                     <apply>
                        <minus/>
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                           <plus/>
                           <apply>
                              <minus/>
                              <ci>J_fum</ci>
                              <ci>J_mdh</ci>
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                           <ci>J_MALPI</ci>
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                        <ci>J_AKGMAL</ci>
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                     <ci>J_CITMAL</ci>
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                  <ci>J_SUCMAL</ci>
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               <ci>W_x</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>dMAL_x_dt</ci>
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               <divide/>
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                  <minus/>
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                     <minus/>
                     <apply>
                        <minus/>
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                           <plus/>
                           <apply>
                              <minus/>
                              <ci>J_fum</ci>
                              <ci>J_mdh</ci>
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                           <ci>J_MALPI</ci>
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                        <ci>J_AKGMAL</ci>
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                     <ci>J_CITMAL</ci>
                  </apply>
                  <ci>J_SUCMAL</ci>
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               <ci>W_x</ci>
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      </math>
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      <variable name="OAA_x" units="molar" initial_value="8.9236e-4" public_interface="out"/>
      <variable name="dOAA_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_cits" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_mdh" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_got" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>OAA_x</ci>
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            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_cits</ci>
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                  <ci>J_mdh</ci>
                  <ci>J_got</ci>
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               <ci>W_x</ci>
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         <apply>
            <eq/>
            <ci>dOAA_x_dt</ci>
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               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_cits</ci>
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                  <ci>J_mdh</ci>
                  <ci>J_got</ci>
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               <ci>W_x</ci>
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         </apply>
      </math>
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      <variable name="GLU_x" units="molar" initial_value="9.9311e-12" public_interface="out"/>
      <variable name="dGLU_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_got" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <variable name="J_ASPGLU" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>GLU_x</ci>
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            <apply>
               <divide/>
               <apply>
                  <minus/>
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                     <plus/>
                     <ci>J_got</ci>
                     <ci>J_GLUH</ci>
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                  <ci>J_ASPGLU</ci>
               </apply>
               <ci>W_x</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>dGLU_x_dt</ci>
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               <divide/>
               <apply>
                  <minus/>
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                     <plus/>
                     <ci>J_got</ci>
                     <ci>J_GLUH</ci>
                  </apply>
                  <ci>J_ASPGLU</ci>
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               <ci>W_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dASP_x_dt">
      <variable name="ASP_x" units="molar" initial_value="1.0217e-4" public_interface="out"/>
      <variable name="dASP_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_got" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ASPGLU" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
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               <bvar>
                  <ci>time</ci>
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               <ci>ASP_x</ci>
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               <divide/>
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                     <ci>J_got</ci>
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                  <ci>J_ASPGLU</ci>
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               <ci>W_x</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>dASP_x_dt</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_got</ci>
                  </apply>
                  <ci>J_ASPGLU</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dO2_x_dt">
      <variable name="O2_x" units="molar" initial_value="6.499999999999999e-5" public_interface="out"/>
      <variable name="dO2_x_dt" units="molar_per_second" initial_value="0" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>O2_x</ci>
            </apply>
            <cn cellml:units="molar_per_second">0</cn>
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      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dCO2_tot_x_dt">
      <variable name="CO2_tot_x" units="molar" initial_value="0.0214" public_interface="out"/>
      <variable name="dCO2_tot_x_dt" units="molar_per_second" initial_value="0" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>CO2_tot_x</ci>
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            <cn cellml:units="molar_per_second">0</cn>
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      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dCred_i_dt">
      <variable name="Cred_i" units="molar" initial_value="9.6996e-8" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_C3" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>Cred_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <minus/>
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                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>J_C3</ci>
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                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>J_C4</ci>
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               </apply>
               <ci>W_i</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dATP_i_dt">
      <variable name="ATP_i" units="molar" initial_value="1e-9" public_interface="out"/>
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      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>ATP_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <ci>J_ATPt</ci>
                  <ci>J_ANT</ci>
                  <ci>J_AKi</ci>
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               <ci>W_i</ci>
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         </apply>
      </math>
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   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dADP_i_dt">
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      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_ADPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <variable name="J_AKi" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>ADP_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <ci>J_ADPt</ci>
                     <ci>J_ANT</ci>
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                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>J_AKi</ci>
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               <ci>W_i</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dAMP_i_dt">
      <variable name="AMP_i" units="molar" initial_value="1e-9" public_interface="out"/>
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      <variable name="J_AMPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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               <diff/>
               <bvar>
                  <ci>time</ci>
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                  <ci>J_AKi</ci>
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               <ci>W_i</ci>
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      </math>
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      <variable name="PI_i" units="molar" initial_value="1.1574e-4" public_interface="out"/>
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      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_PIHt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <variable name="J_MALPI" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>PI_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_PIHt</ci>
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                  <ci>J_PIt</ci>
                  <ci>J_MALPI</ci>
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               <ci>W_i</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dPYR_i_dt">
      <variable name="PYR_i" units="molar" initial_value="9.1804e-10" public_interface="out"/>
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      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_PYRH" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>PYR_i</ci>
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            <apply>
               <divide/>
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                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_PYRH</ci>
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                  <ci>J_PYRt</ci>
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               <ci>W_i</ci>
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      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dCIT_i_dt">
      <variable name="CIT_i" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
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            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>CIT_i</ci>
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            <apply>
               <divide/>
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                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_CITMAL</ci>
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                  <ci>J_CITt</ci>
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               <ci>W_i</ci>
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   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dICIT_i_dt">
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      <variable name="J_ICITt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>ICIT_i</ci>
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            <apply>
               <divide/>
               <ci>J_ICITt</ci>
               <ci>W_i</ci>
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         </apply>
      </math>
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   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dAKG_i_dt">
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      <variable name="J_AKGMAL" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>AKG_i</ci>
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               <divide/>
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                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_AKGMAL</ci>
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                  <ci>J_AKGt</ci>
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      </math>
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      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>SUC_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <ci>J_SUCt</ci>
                  <ci>J_SUCMAL</ci>
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      <variable name="time" units="second" public_interface="in"/>
      <variable name="J_FUMt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>FUM_i</ci>
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            <apply>
               <divide/>
               <ci>J_FUMt</ci>
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      </math>
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      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>MAL_i</ci>
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            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_MALPI</ci>
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                  <ci>J_MALt</ci>
                  <ci>J_AKGMAL</ci>
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                  <ci>J_SUCMAL</ci>
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      </math>
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   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dGLU_i_dt">
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      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <divide/>
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                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_GLUH</ci>
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                  <ci>J_ASPGLU</ci>
                  <ci>J_GLUt</ci>
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               <ci>W_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dASP_i_dt">
      <variable name="ASP_i" units="molar" initial_value="4.4404e-9" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="W_i" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="J_ASPGLU" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ASPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ASP_i</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <ci>J_ASPGLU</ci>
                  </apply>
                  <ci>J_ASPt</ci>
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               <ci>W_i</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dH_i_dt">
      <variable name="H_i" units="molar" public_interface="out"/>
      <variable name="H_c" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>H_i</ci>
            <ci>H_c</ci>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dMg_i_dt">
      <variable name="Mg_i" units="molar" public_interface="out"/>
      <variable name="Mg_c" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Mg_i</ci>
            <ci>Mg_c</ci>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dK_i_dt">
      <variable name="K_i" units="molar" public_interface="out"/>
      <variable name="K_c" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>K_i</ci>
            <ci>K_c</ci>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dPYR_c_dt">
      <variable name="PYR_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="StateType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_PYRt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
                     <apply>
                        <eq/>
                        <ci>StateType</ci>
                        <cn cellml:units="dimensionless">0</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">3</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">4</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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               <piece>
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                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
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         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>PYR_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
                  </apply>
                  <ci>J_PYRt</ci>
               </apply>
               <ci>W_c</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dCIT_c_dt">
      <variable name="CIT_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="StateType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_CITt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
                     <apply>
                        <eq/>
                        <ci>StateType</ci>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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               <piece>
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                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                  <apply>
                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
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         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>CIT_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
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                  <ci>J_CITt</ci>
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               <ci>W_c</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dICIT_c_dt">
      <variable name="ICIT_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="time" units="second" public_interface="in"/>
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      <variable name="StateType" units="dimensionless" public_interface="in"/>
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      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_ICITt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
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               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
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                        <eq/>
                        <ci>StateType</ci>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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                  <cn cellml:units="mito_per_cyto">1</cn>
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                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
                  </apply>
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         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>ICIT_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
                  </apply>
                  <ci>J_ICITt</ci>
               </apply>
               <ci>W_c</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dAKG_c_dt">
      <variable name="AKG_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="StateType" units="dimensionless" public_interface="in"/>
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      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_AKGt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
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            <eq/>
            <ci>Rm_cyto</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
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                        <eq/>
                        <ci>StateType</ci>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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               <piece>
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                     <or/>
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                        <eq/>
                        <ci>ExpType</ci>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>AKG_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
                  </apply>
                  <ci>J_AKGt</ci>
               </apply>
               <ci>W_c</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dSUC_c_dt">
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      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_SUCt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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            <eq/>
            <ci>Rm_cyto</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
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                        <eq/>
                        <ci>StateType</ci>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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               </piece>
               <piece>
                  <cn cellml:units="mito_per_cyto">1</cn>
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                     <or/>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                  </apply>
               </piece>
               <otherwise>
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                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
                  </apply>
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            </piecewise>
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         <apply>
            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>SUC_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
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                  <ci>J_SUCt</ci>
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               <ci>W_c</ci>
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      </math>
   </component>
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      <variable name="StateType" units="dimensionless" public_interface="in"/>
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      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_FUMt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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            <eq/>
            <ci>Rm_cyto</ci>
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               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
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                        <eq/>
                        <ci>StateType</ci>
                        <cn cellml:units="dimensionless">0</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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               <piece>
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                     <or/>
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                        <eq/>
                        <ci>ExpType</ci>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
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         <apply>
            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>FUM_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
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                  <ci>J_FUMt</ci>
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               <ci>W_c</ci>
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         </apply>
      </math>
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      <variable name="StateType" units="dimensionless" public_interface="in"/>
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      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_MALt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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            <ci>Rm_cyto</ci>
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               <piece>
                  <cn cellml:units="mito_per_cyto">0</cn>
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                     <or/>
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                        <eq/>
                        <ci>StateType</ci>
                        <cn cellml:units="dimensionless">0</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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               </piece>
               <piece>
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                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
                  </apply>
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         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
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               <ci>MAL_c</ci>
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            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
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                  <ci>J_MALt</ci>
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               <ci>W_c</ci>
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         </apply>
      </math>
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      <variable name="ExpType" units="dimensionless" public_interface="in"/>
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      <variable name="J_GLUt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
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            <ci>Rm_cyto</ci>
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               <piece>
                  <cn cellml:units="mito_per_cyto">1</cn>
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                     <or/>
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                        <eq/>
                        <ci>ExpType</ci>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
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                     <divide/>
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            <eq/>
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               <bvar>
                  <ci>time</ci>
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               <ci>GLU_c</ci>
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               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
                  </apply>
                  <ci>J_GLUt</ci>
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               <ci>W_c</ci>
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         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dASP_c_dt">
      <variable name="ASP_c" units="molar" initial_value="4.4404e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_ASPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <piecewise>
               <piece>
                  <cn cellml:units="mito_per_cyto">1</cn>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <ci>V_mito</ci>
                     <ci>V_cyto</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ASP_c</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Rm_cyto</ci>
                  </apply>
                  <ci>J_ASPt</ci>
               </apply>
               <ci>W_c</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dH_c_dt">
      <variable name="H_c" units="molar" initial_value="1e-7" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>H_c</ci>
            </apply>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dMg_c_dt">
      <variable name="Mg_c" units="molar" initial_value="0.005" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Mg_c</ci>
            </apply>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dK_c_dt">
      <variable name="K_c" units="molar" initial_value="0.15" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_c</ci>
            </apply>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dPI_c_dt">
      <variable name="PI_c" units="molar" initial_value="1.1574e-4" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="conversion_factor" units="mito_per_cyto" initial_value="1"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_AtC" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <variable name="J_PIt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <apply>
               <divide/>
               <ci>V_mito</ci>
               <ci>V_cyto</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>PI_c</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>J_PIt</ci>
                        </apply>
                        <ci>conversion_factor</ci>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <ci>Rm_cyto</ci>
                           <ci>J_PIt</ci>
                        </apply>
                        <ci>J_AtC</ci>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dATP_c_dt">
      <variable name="ATP_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="conversion_factor" units="mito_per_cyto" initial_value="1"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_ATPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_CKc" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <variable name="J_AKc" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_AtC" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <variable name="J_HK" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <apply>
               <divide/>
               <ci>V_mito</ci>
               <ci>V_cyto</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ATP_c</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <cn cellml:units="dimensionless">1</cn>
                                 <apply>
                                    <divide/>
                                    <ci>W_c</ci>
                                    <cn cellml:units="l_water_per_l_cyto">1</cn>
                                 </apply>
                              </apply>
                           </apply>
                           <ci>J_HK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>conversion_factor</ci>
                           <ci>J_ATPt</ci>
                        </apply>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>Rm_cyto</ci>
                              </apply>
                              <ci>J_ATPt</ci>
                           </apply>
                           <ci>J_CKc</ci>
                           <apply>
                              <times/>
                              <ci>conversion_factor</ci>
                              <ci>J_AKc</ci>
                           </apply>
                        </apply>
                        <ci>J_AtC</ci>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dADP_c_dt">
      <variable name="ADP_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="conversion_factor" units="mito_per_cyto" initial_value="1"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_ADPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_CKc" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <variable name="J_AKc" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_AtC" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <variable name="J_HK" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <apply>
               <divide/>
               <ci>V_mito</ci>
               <ci>V_cyto</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ADP_c</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <ci>W_c</ci>
                                 <cn cellml:units="l_water_per_l_cyto">1</cn>
                              </apply>
                           </apply>
                           <ci>J_HK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>conversion_factor</ci>
                           <ci>J_ADPt</ci>
                        </apply>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
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                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <ci>Rm_cyto</ci>
                                 </apply>
                                 <ci>J_ADPt</ci>
                              </apply>
                              <ci>J_CKc</ci>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>conversion_factor</ci>
                              <ci>J_AKc</ci>
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                        </apply>
                        <ci>J_AtC</ci>
                     </apply>
                     <ci>W_c</ci>
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               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dGLC_c_dt">
      <variable name="GLC_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="J_HK" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>GLC_c</ci>
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            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <ci>W_c</ci>
                                 <cn cellml:units="l_water_per_l_cyto">1</cn>
                              </apply>
                           </apply>
                        </apply>
                        <ci>J_HK</ci>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="molar_per_second">0</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dG6P_c_dt">
      <variable name="G6P_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="J_HK" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>G6P_c</ci>
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            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <plus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <divide/>
                              <ci>W_c</ci>
                              <cn cellml:units="l_water_per_l_cyto">1</cn>
                           </apply>
                        </apply>
                        <ci>J_HK</ci>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="molar_per_second">0</cn>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dPCr_c_dt">
      <variable name="PCr_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="J_CKc" units="mole_per_second_per_l_cyto_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>PCr_c</ci>
            </apply>
            <piecewise>
               <piece>
                  <cn cellml:units="molar_per_second">0</cn>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <ci>J_CKc</ci>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dAMP_c_dt">
      <variable name="AMP_c" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Rm_cyto" units="mito_per_cyto"/>
      <variable name="conversion_factor" units="mito_per_cyto" initial_value="1"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="ExpType" units="dimensionless" public_interface="in"/>
      <variable name="W_c" units="l_water_per_l_cyto" public_interface="in"/>
      <variable name="V_cyto" units="cyto_per_cell" public_interface="in"/>
      <variable name="V_mito" units="mito_per_cell" public_interface="in"/>
      <variable name="J_AMPt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_AKc" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Rm_cyto</ci>
            <apply>
               <divide/>
               <ci>V_mito</ci>
               <ci>V_cyto</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>AMP_c</ci>
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            <piecewise>
               <piece>
                  <cn cellml:units="molar_per_second">0</cn>
                  <apply>
                     <or/>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>ExpType</ci>
                        <cn cellml:units="dimensionless">6</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <divide/>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <apply>
                              <minus/>
                              <ci>Rm_cyto</ci>
                           </apply>
                           <ci>J_AMPt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>conversion_factor</ci>
                           <ci>J_AKc</ci>
                        </apply>
                     </apply>
                     <ci>W_c</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dFAD_x_dt">
      <variable name="FAD_x" units="molar" public_interface="out"/>
      <variable name="dFAD_x_dt" units="molar_per_second" initial_value="0" public_interface="out"/>
      <variable name="dFADH2_x_dt" units="molar_per_second" initial_value="0" public_interface="out"/>
      <variable name="FADH2_x" units="molar" public_interface="out"/>
      <variable name="FAD_tot" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>FAD_x</ci>
            <apply>
               <minus/>
               <ci>FAD_tot</ci>
               <ci>FADH2_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>FADH2_x</ci>
            <apply>
               <divide/>
               <ci>FAD_tot</ci>
               <cn cellml:units="dimensionless">2</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dH_x_dt">
      <variable name="H_x" units="molar" initial_value="5.7919e-8" public_interface="out"/>
      <variable name="dH_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="D" units="dimensionless" public_interface="in"/>
      <variable name="phi_H" units="molar_per_second" public_interface="in"/>
      <variable name="phi_Mg" units="molar_per_second" public_interface="in"/>
      <variable name="phi_K" units="molar_per_second" public_interface="in"/>
      <variable name="dHB_dMg" units="dimensionless" public_interface="in"/>
      <variable name="dHB_dK" units="dimensionless" public_interface="in"/>
      <variable name="dMgB_dK" units="dimensionless" public_interface="in"/>
      <variable name="dKB_dMg" units="dimensionless" public_interface="in"/>
      <variable name="alpha_K" units="dimensionless" public_interface="in"/>
      <variable name="alpha_Mg" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>dH_x_dt</ci>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>H_x</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>dKB_dMg</ci>
                           <ci>dMgB_dK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>alpha_Mg</ci>
                           <ci>alpha_K</ci>
                        </apply>
                     </apply>
                     <ci>phi_H</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>alpha_K</ci>
                           <ci>dHB_dMg</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>dHB_dK</ci>
                           <ci>dKB_dMg</ci>
                        </apply>
                     </apply>
                     <ci>phi_Mg</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>alpha_Mg</ci>
                           <ci>dHB_dK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>dHB_dMg</ci>
                           <ci>dMgB_dK</ci>
                        </apply>
                     </apply>
                     <ci>phi_K</ci>
                  </apply>
               </apply>
               <ci>D</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dMg_x_dt">
      <variable name="Mg_x" units="molar" initial_value="0.0046388" public_interface="out"/>
      <variable name="dMg_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="D" units="dimensionless" public_interface="in"/>
      <variable name="alpha_H" units="dimensionless" public_interface="in"/>
      <variable name="alpha_K" units="dimensionless" public_interface="in"/>
      <variable name="phi_H" units="molar_per_second" public_interface="in"/>
      <variable name="phi_Mg" units="molar_per_second" public_interface="in"/>
      <variable name="phi_K" units="molar_per_second" public_interface="in"/>
      <variable name="dHB_dK" units="dimensionless" public_interface="in"/>
      <variable name="dKB_dH" units="dimensionless" public_interface="in"/>
      <variable name="dMgB_dK" units="dimensionless" public_interface="in"/>
      <variable name="dMgB_dH" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Mg_x</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>alpha_K</ci>
                           <ci>dMgB_dH</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>dKB_dH</ci>
                           <ci>dMgB_dK</ci>
                        </apply>
                     </apply>
                     <ci>phi_H</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>dKB_dH</ci>
                           <ci>dHB_dK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>alpha_H</ci>
                           <ci>alpha_K</ci>
                        </apply>
                     </apply>
                     <ci>phi_Mg</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>alpha_H</ci>
                           <ci>dMgB_dK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>dHB_dK</ci>
                           <ci>dMgB_dH</ci>
                        </apply>
                     </apply>
                     <ci>phi_K</ci>
                  </apply>
               </apply>
               <ci>D</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dMg_x_dt</ci>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="dK_x_dt">
      <variable name="K_x" units="molar" initial_value="0.086878" public_interface="out"/>
      <variable name="dK_x_dt" units="molar_per_second" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="D" units="dimensionless" public_interface="in"/>
      <variable name="alpha_H" units="dimensionless" public_interface="in"/>
      <variable name="alpha_Mg" units="dimensionless" public_interface="in"/>
      <variable name="phi_H" units="molar_per_second" public_interface="in"/>
      <variable name="phi_Mg" units="molar_per_second" public_interface="in"/>
      <variable name="phi_K" units="molar_per_second" public_interface="in"/>
      <variable name="dHB_dMg" units="dimensionless" public_interface="in"/>
      <variable name="dMgB_dH" units="dimensionless" public_interface="in"/>
      <variable name="dKB_dMg" units="dimensionless" public_interface="in"/>
      <variable name="dKB_dH" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>K_x</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>alpha_Mg</ci>
                           <ci>dKB_dH</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>dKB_dMg</ci>
                           <ci>dMgB_dH</ci>
                        </apply>
                     </apply>
                     <ci>phi_H</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>alpha_H</ci>
                           <ci>dKB_dMg</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>dKB_dH</ci>
                           <ci>dHB_dMg</ci>
                        </apply>
                     </apply>
                     <ci>phi_Mg</ci>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>dMgB_dH</ci>
                           <ci>dHB_dMg</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>alpha_H</ci>
                           <ci>alpha_Mg</ci>
                        </apply>
                     </apply>
                     <ci>phi_K</ci>
                  </apply>
               </apply>
               <ci>D</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dK_x_dt</ci>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="BINDING_IONS">
      <variable name="dHB_dMg" units="dimensionless" public_interface="out"/>
      <variable name="dHB_dK" units="dimensionless" public_interface="out"/>
      <variable name="dHB_dH" units="dimensionless" public_interface="out"/>
      <variable name="dMgB_dH" units="dimensionless" public_interface="out"/>
      <variable name="dMgB_dK" units="dimensionless" public_interface="out"/>
      <variable name="dMgB_dMg" units="dimensionless" public_interface="out"/>
      <variable name="dKB_dH" units="dimensionless" public_interface="out"/>
      <variable name="dKB_dMg" units="dimensionless" public_interface="out"/>
      <variable name="dKB_dK" units="dimensionless" public_interface="out"/>
      <variable name="J_H_t" units="molar_per_second" public_interface="out"/>
      <variable name="J_Mg_t" units="molar_per_second" public_interface="out"/>
      <variable name="J_K_t" units="molar_per_second" public_interface="out"/>
      <variable name="phi_H" units="molar_per_second" public_interface="out"/>
      <variable name="phi_Mg" units="molar_per_second" public_interface="out"/>
      <variable name="phi_K" units="molar_per_second" public_interface="out"/>
      <variable name="alpha_H" units="dimensionless" public_interface="out"/>
      <variable name="alpha_Mg" units="dimensionless" public_interface="out"/>
      <variable name="alpha_K" units="dimensionless" public_interface="out"/>
      <variable name="D" units="dimensionless" public_interface="out"/>
      <variable name="B_x" units="molar" initial_value="0.02"/>
      <variable name="K_BX" units="molar" initial_value="1e-7"/>
      <variable name="W_x" units="l_water_per_l_mito" public_interface="in"/>
      <variable name="n_A" units="dimensionless" public_interface="in"/>
      <variable name="J_pdh" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_cits" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_akgd" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_scoas" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_mdh" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_PYRH" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_GLUH" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_CITMAL" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_ASPGLU" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_C1" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_C3" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_C4" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_F1" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_PIHt" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_Hle" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="J_KH" units="mole_per_second_per_l_mito_volume" public_interface="in"/>
      <variable name="H_x" units="molar" public_interface="in"/>
      <variable name="ATP_x" units="molar" public_interface="in"/>
      <variable name="ADP_x" units="molar" public_interface="in"/>
      <variable name="AMP_x" units="molar" public_interface="in"/>
      <variable name="GTP_x" units="molar" public_interface="in"/>
      <variable name="GDP_x" units="molar" public_interface="in"/>
      <variable name="PI_x" units="molar" public_interface="in"/>
      <variable name="NADH_x" units="molar" public_interface="in"/>
      <variable name="NAD_x" units="molar" public_interface="in"/>
      <variable name="QH2_x" units="molar" public_interface="in"/>
      <variable name="COQ_x" units="molar" public_interface="in"/>
      <variable name="PYR_x" units="molar" public_interface="in"/>
      <variable name="OAA_x" units="molar" public_interface="in"/>
      <variable name="ACCOA_x" units="molar" public_interface="in"/>
      <variable name="CIT_x" units="molar" public_interface="in"/>
      <variable name="ICIT_x" units="molar" public_interface="in"/>
      <variable name="AKG_x" units="molar" public_interface="in"/>
      <variable name="SCOA_x" units="molar" public_interface="in"/>
      <variable name="COASH_x" units="molar" public_interface="in"/>
      <variable name="SUC_x" units="molar" public_interface="in"/>
      <variable name="FUM_x" units="molar" public_interface="in"/>
      <variable name="MAL_x" units="molar" public_interface="in"/>
      <variable name="GLU_x" units="molar" public_interface="in"/>
      <variable name="ASP_x" units="molar" public_interface="in"/>
      <variable name="K_x" units="molar" public_interface="in"/>
      <variable name="Mg_x" units="molar" public_interface="in"/>
      <variable name="O2_x" units="molar" public_interface="in"/>
      <variable name="FADH2_x" units="molar" public_interface="in"/>
      <variable name="FAD_x" units="molar" public_interface="in"/>
      <variable name="CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="P_H_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ATP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ADP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_AMP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GTP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GDP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_PI_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NADH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_NAD_x" units="dimensionless" public_interface="in"/>
      <variable name="P_QH2_x" units="dimensionless" public_interface="in"/>
      <variable name="P_COQ_x" units="dimensionless" public_interface="in"/>
      <variable name="P_PYR_x" units="dimensionless" public_interface="in"/>
      <variable name="P_OAA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ACCOA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_CIT_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ICIT_x" units="dimensionless" public_interface="in"/>
      <variable name="P_AKG_x" units="dimensionless" public_interface="in"/>
      <variable name="P_SCOA_x" units="dimensionless" public_interface="in"/>
      <variable name="P_COASH_x" units="dimensionless" public_interface="in"/>
      <variable name="P_SUC_x" units="dimensionless" public_interface="in"/>
      <variable name="P_FUM_x" units="dimensionless" public_interface="in"/>
      <variable name="P_MAL_x" units="dimensionless" public_interface="in"/>
      <variable name="P_GLU_x" units="dimensionless" public_interface="in"/>
      <variable name="P_ASP_x" units="dimensionless" public_interface="in"/>
      <variable name="P_K_x" units="dimensionless" public_interface="in"/>
      <variable name="P_Mg_x" units="dimensionless" public_interface="in"/>
      <variable name="P_O2_x" units="dimensionless" public_interface="in"/>
      <variable name="P_FADH2_x" units="dimensionless" public_interface="in"/>
      <variable name="P_FAD_x" units="dimensionless" public_interface="in"/>
      <variable name="P_CO2_tot_x" units="dimensionless" public_interface="in"/>
      <variable name="KH_H_x" units="molar" public_interface="in"/>
      <variable name="KH_ATP_x" units="molar" public_interface="in"/>
      <variable name="KH_ADP_x" units="molar" public_interface="in"/>
      <variable name="KH_AMP_x" units="molar" public_interface="in"/>
      <variable name="KH_GTP_x" units="molar" public_interface="in"/>
      <variable name="KH_GDP_x" units="molar" public_interface="in"/>
      <variable name="KH_PI_x" units="molar" public_interface="in"/>
      <variable name="KH_NADH_x" units="molar" public_interface="in"/>
      <variable name="KH_NAD_x" units="molar" public_interface="in"/>
      <variable name="KH_QH2_x" units="molar" public_interface="in"/>
      <variable name="KH_COQ_x" units="molar" public_interface="in"/>
      <variable name="KH_PYR_x" units="molar" public_interface="in"/>
      <variable name="KH_OAA_x" units="molar" public_interface="in"/>
      <variable name="KH_ACCOA_x" units="molar" public_interface="in"/>
      <variable name="KH_CIT_x" units="molar" public_interface="in"/>
      <variable name="KH_ICIT_x" units="molar" public_interface="in"/>
      <variable name="KH_AKG_x" units="molar" public_interface="in"/>
      <variable name="KH_SCOA_x" units="molar" public_interface="in"/>
      <variable name="KH_COASH_x" units="molar" public_interface="in"/>
      <variable name="KH_SUC_x" units="molar" public_interface="in"/>
      <variable name="KH_FUM_x" units="molar" public_interface="in"/>
      <variable name="KH_MAL_x" units="molar" public_interface="in"/>
      <variable name="KH_GLU_x" units="molar" public_interface="in"/>
      <variable name="KH_ASP_x" units="molar" public_interface="in"/>
      <variable name="KH_K_x" units="molar" public_interface="in"/>
      <variable name="KH_Mg_x" units="molar" public_interface="in"/>
      <variable name="KH_O2_x" units="molar" public_interface="in"/>
      <variable name="KH_FADH2_x" units="molar" public_interface="in"/>
      <variable name="KH_FAD_x" units="molar" public_interface="in"/>
      <variable name="KH_CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="KMg_H_x" units="molar" public_interface="in"/>
      <variable name="KMg_ATP_x" units="molar" public_interface="in"/>
      <variable name="KMg_ADP_x" units="molar" public_interface="in"/>
      <variable name="KMg_AMP_x" units="molar" public_interface="in"/>
      <variable name="KMg_GTP_x" units="molar" public_interface="in"/>
      <variable name="KMg_GDP_x" units="molar" public_interface="in"/>
      <variable name="KMg_PI_x" units="molar" public_interface="in"/>
      <variable name="KMg_NADH_x" units="molar" public_interface="in"/>
      <variable name="KMg_NAD_x" units="molar" public_interface="in"/>
      <variable name="KMg_QH2_x" units="molar" public_interface="in"/>
      <variable name="KMg_COQ_x" units="molar" public_interface="in"/>
      <variable name="KMg_PYR_x" units="molar" public_interface="in"/>
      <variable name="KMg_OAA_x" units="molar" public_interface="in"/>
      <variable name="KMg_ACCOA_x" units="molar" public_interface="in"/>
      <variable name="KMg_CIT_x" units="molar" public_interface="in"/>
      <variable name="KMg_ICIT_x" units="molar" public_interface="in"/>
      <variable name="KMg_AKG_x" units="molar" public_interface="in"/>
      <variable name="KMg_SCOA_x" units="molar" public_interface="in"/>
      <variable name="KMg_COASH_x" units="molar" public_interface="in"/>
      <variable name="KMg_SUC_x" units="molar" public_interface="in"/>
      <variable name="KMg_FUM_x" units="molar" public_interface="in"/>
      <variable name="KMg_MAL_x" units="molar" public_interface="in"/>
      <variable name="KMg_GLU_x" units="molar" public_interface="in"/>
      <variable name="KMg_ASP_x" units="molar" public_interface="in"/>
      <variable name="KMg_K_x" units="molar" public_interface="in"/>
      <variable name="KMg_Mg_x" units="molar" public_interface="in"/>
      <variable name="KMg_O2_x" units="molar" public_interface="in"/>
      <variable name="KMg_FADH2_x" units="molar" public_interface="in"/>
      <variable name="KMg_FAD_x" units="molar" public_interface="in"/>
      <variable name="KMg_CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="KK_H_x" units="molar" public_interface="in"/>
      <variable name="KK_ATP_x" units="molar" public_interface="in"/>
      <variable name="KK_ADP_x" units="molar" public_interface="in"/>
      <variable name="KK_AMP_x" units="molar" public_interface="in"/>
      <variable name="KK_GTP_x" units="molar" public_interface="in"/>
      <variable name="KK_GDP_x" units="molar" public_interface="in"/>
      <variable name="KK_PI_x" units="molar" public_interface="in"/>
      <variable name="KK_NADH_x" units="molar" public_interface="in"/>
      <variable name="KK_NAD_x" units="molar" public_interface="in"/>
      <variable name="KK_QH2_x" units="molar" public_interface="in"/>
      <variable name="KK_COQ_x" units="molar" public_interface="in"/>
      <variable name="KK_PYR_x" units="molar" public_interface="in"/>
      <variable name="KK_OAA_x" units="molar" public_interface="in"/>
      <variable name="KK_ACCOA_x" units="molar" public_interface="in"/>
      <variable name="KK_CIT_x" units="molar" public_interface="in"/>
      <variable name="KK_ICIT_x" units="molar" public_interface="in"/>
      <variable name="KK_AKG_x" units="molar" public_interface="in"/>
      <variable name="KK_SCOA_x" units="molar" public_interface="in"/>
      <variable name="KK_COASH_x" units="molar" public_interface="in"/>
      <variable name="KK_SUC_x" units="molar" public_interface="in"/>
      <variable name="KK_FUM_x" units="molar" public_interface="in"/>
      <variable name="KK_MAL_x" units="molar" public_interface="in"/>
      <variable name="KK_GLU_x" units="molar" public_interface="in"/>
      <variable name="KK_ASP_x" units="molar" public_interface="in"/>
      <variable name="KK_K_x" units="molar" public_interface="in"/>
      <variable name="KK_Mg_x" units="molar" public_interface="in"/>
      <variable name="KK_O2_x" units="molar" public_interface="in"/>
      <variable name="KK_FADH2_x" units="molar" public_interface="in"/>
      <variable name="KK_FAD_x" units="molar" public_interface="in"/>
      <variable name="KK_CO2_tot_x" units="molar" public_interface="in"/>
      <variable name="dH_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dATP_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dADP_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dAMP_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dGTP_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dGDP_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dPI_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dNADH_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dNAD_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dQH2_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dCOQ_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dPYR_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dOAA_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dACCOA_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dCIT_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dICIT_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dAKG_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dSCOA_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dCOASH_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dSUC_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dFUM_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dMAL_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dGLU_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dASP_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dK_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dMg_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dO2_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dFADH2_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dFAD_x_dt" units="molar_per_second" public_interface="in"/>
      <variable name="dCO2_tot_x_dt" units="molar_per_second" public_interface="in"/>
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                        <ci>H_x</ci>
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                        <times/>
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                        <times/>
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                        <ci>AMP_x</ci>
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                        <times/>
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                        <times/>
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                        <ci>GDP_x</ci>
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                        <times/>
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                     <divide/>
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                        <times/>
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                     <divide/>
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                        <times/>
                        <ci>H_x</ci>
                        <ci>NADH_x</ci>
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                        <times/>
                        <ci>KH_NADH_x</ci>
                        <ci>KMg_NADH_x</ci>
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                           <power/>
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                        <times/>
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                        <times/>
                        <ci>KH_NAD_x</ci>
                        <ci>KMg_NAD_x</ci>
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                           <power/>
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                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
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                     <divide/>
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                        <times/>
                        <ci>H_x</ci>
                        <ci>QH2_x</ci>
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                        <times/>
                        <ci>KH_QH2_x</ci>
                        <ci>KMg_QH2_x</ci>
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                           <power/>
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                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
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                     <divide/>
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                        <times/>
                        <ci>H_x</ci>
                        <ci>COQ_x</ci>
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                        <times/>
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                     <divide/>
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                        <times/>
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                        <times/>
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                        <times/>
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                        <ci>OAA_x</ci>
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                        <times/>
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                        <ci>ACCOA_x</ci>
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                        <times/>
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                     <divide/>
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                        <times/>
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                        <times/>
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                        <times/>
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                        <times/>
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                        <times/>
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                        <times/>
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                        <ci>ASP_x</ci>
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                        <times/>
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                        <times/>
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                        <ci>H_x</ci>
                        <ci>CIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_CIT_x</ci>
                        <ci>KK_CIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>ICIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_ICIT_x</ci>
                        <ci>KK_ICIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ICIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>AKG_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_AKG_x</ci>
                        <ci>KK_AKG_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AKG_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>SCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_SCOA_x</ci>
                        <ci>KK_SCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>COASH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_COASH_x</ci>
                        <ci>KK_COASH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COASH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>SUC_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_SUC_x</ci>
                        <ci>KK_SUC_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SUC_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>FUM_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_FUM_x</ci>
                        <ci>KK_FUM_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FUM_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>MAL_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_MAL_x</ci>
                        <ci>KK_MAL_x</ci>
                        <apply>
                           <power/>
                           <ci>P_MAL_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>GLU_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_GLU_x</ci>
                        <ci>KK_GLU_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GLU_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>ASP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_ASP_x</ci>
                        <ci>KK_ASP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ASP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>K_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_K_x</ci>
                        <ci>KK_K_x</ci>
                        <apply>
                           <power/>
                           <ci>P_K_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>Mg_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_Mg_x</ci>
                        <ci>KK_Mg_x</ci>
                        <apply>
                           <power/>
                           <ci>P_Mg_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>O2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_O2_x</ci>
                        <ci>KK_O2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_O2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>FADH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_FADH2_x</ci>
                        <ci>KK_FADH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FADH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>FAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_FAD_x</ci>
                        <ci>KK_FAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>H_x</ci>
                        <ci>CO2_tot_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KH_CO2_tot_x</ci>
                        <ci>KK_CO2_tot_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CO2_tot_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dHB_dH</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_H_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_H_x</ci>
                        </apply>
                     </apply>
                     <ci>H_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_H_x</ci>
                     <apply>
                        <power/>
                        <ci>P_H_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ATP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ATP_x</ci>
                        </apply>
                     </apply>
                     <ci>ATP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_ATP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ATP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ADP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ADP_x</ci>
                        </apply>
                     </apply>
                     <ci>ADP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_ADP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ADP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_AMP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_AMP_x</ci>
                        </apply>
                     </apply>
                     <ci>AMP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_AMP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_AMP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_GTP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_GTP_x</ci>
                        </apply>
                     </apply>
                     <ci>GTP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_GTP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GTP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_GDP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_GDP_x</ci>
                        </apply>
                     </apply>
                     <ci>GDP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_GDP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GDP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_PI_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_PI_x</ci>
                        </apply>
                     </apply>
                     <ci>PI_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_PI_x</ci>
                     <apply>
                        <power/>
                        <ci>P_PI_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_NADH_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_NADH_x</ci>
                        </apply>
                     </apply>
                     <ci>NADH_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_NADH_x</ci>
                     <apply>
                        <power/>
                        <ci>P_NADH_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_NAD_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_NAD_x</ci>
                        </apply>
                     </apply>
                     <ci>NAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_NAD_x</ci>
                     <apply>
                        <power/>
                        <ci>P_NAD_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_QH2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_QH2_x</ci>
                        </apply>
                     </apply>
                     <ci>QH2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_QH2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_QH2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_COQ_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_COQ_x</ci>
                        </apply>
                     </apply>
                     <ci>COQ_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_COQ_x</ci>
                     <apply>
                        <power/>
                        <ci>P_COQ_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_PYR_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_PYR_x</ci>
                        </apply>
                     </apply>
                     <ci>PYR_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_PYR_x</ci>
                     <apply>
                        <power/>
                        <ci>P_PYR_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_OAA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_OAA_x</ci>
                        </apply>
                     </apply>
                     <ci>OAA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_OAA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_OAA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ACCOA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ACCOA_x</ci>
                        </apply>
                     </apply>
                     <ci>ACCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_ACCOA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ACCOA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_CIT_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_CIT_x</ci>
                        </apply>
                     </apply>
                     <ci>CIT_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_CIT_x</ci>
                     <apply>
                        <power/>
                        <ci>P_CIT_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ICIT_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ICIT_x</ci>
                        </apply>
                     </apply>
                     <ci>ICIT_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_ICIT_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ICIT_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_AKG_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_AKG_x</ci>
                        </apply>
                     </apply>
                     <ci>AKG_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_AKG_x</ci>
                     <apply>
                        <power/>
                        <ci>P_AKG_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_SCOA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_SCOA_x</ci>
                        </apply>
                     </apply>
                     <ci>SCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_SCOA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_SCOA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_COASH_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_COASH_x</ci>
                        </apply>
                     </apply>
                     <ci>COASH_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_COASH_x</ci>
                     <apply>
                        <power/>
                        <ci>P_COASH_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_SUC_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_SUC_x</ci>
                        </apply>
                     </apply>
                     <ci>SUC_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_SUC_x</ci>
                     <apply>
                        <power/>
                        <ci>P_SUC_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_FUM_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_FUM_x</ci>
                        </apply>
                     </apply>
                     <ci>FUM_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_FUM_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FUM_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_MAL_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_MAL_x</ci>
                        </apply>
                     </apply>
                     <ci>MAL_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_MAL_x</ci>
                     <apply>
                        <power/>
                        <ci>P_MAL_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_GLU_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_GLU_x</ci>
                        </apply>
                     </apply>
                     <ci>GLU_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_GLU_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GLU_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ASP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ASP_x</ci>
                        </apply>
                     </apply>
                     <ci>ASP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_ASP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ASP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_K_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_K_x</ci>
                        </apply>
                     </apply>
                     <ci>K_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_K_x</ci>
                     <apply>
                        <power/>
                        <ci>P_K_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_Mg_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_Mg_x</ci>
                        </apply>
                     </apply>
                     <ci>Mg_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_Mg_x</ci>
                     <apply>
                        <power/>
                        <ci>P_Mg_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_O2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_O2_x</ci>
                        </apply>
                     </apply>
                     <ci>O2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_O2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_O2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_FADH2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_FADH2_x</ci>
                        </apply>
                     </apply>
                     <ci>FADH2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_FADH2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FADH2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_FAD_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_FAD_x</ci>
                        </apply>
                     </apply>
                     <ci>FAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_FAD_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FAD_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_CO2_tot_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_CO2_tot_x</ci>
                        </apply>
                     </apply>
                     <ci>CO2_tot_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KH_CO2_tot_x</ci>
                     <apply>
                        <power/>
                        <ci>P_CO2_tot_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dMgB_dH</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>H_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_H_x</ci>
                        <ci>KH_H_x</ci>
                        <apply>
                           <power/>
                           <ci>P_H_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ATP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ATP_x</ci>
                        <ci>KH_ATP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ATP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ADP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ADP_x</ci>
                        <ci>KH_ADP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ADP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>AMP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_AMP_x</ci>
                        <ci>KH_AMP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AMP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>GTP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_GTP_x</ci>
                        <ci>KH_GTP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GTP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>GDP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_GDP_x</ci>
                        <ci>KH_GDP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GDP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>PI_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_PI_x</ci>
                        <ci>KH_PI_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PI_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_NADH_x</ci>
                        <ci>KH_NADH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NADH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>NAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_NAD_x</ci>
                        <ci>KH_NAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>QH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_QH2_x</ci>
                        <ci>KH_QH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_QH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>COQ_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_COQ_x</ci>
                        <ci>KH_COQ_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COQ_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>PYR_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_PYR_x</ci>
                        <ci>KH_PYR_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PYR_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_OAA_x</ci>
                        <ci>KH_OAA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_OAA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ACCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ACCOA_x</ci>
                        <ci>KH_ACCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ACCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>CIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_CIT_x</ci>
                        <ci>KH_CIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ICIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ICIT_x</ci>
                        <ci>KH_ICIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ICIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>AKG_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_AKG_x</ci>
                        <ci>KH_AKG_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AKG_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>SCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_SCOA_x</ci>
                        <ci>KH_SCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>COASH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_COASH_x</ci>
                        <ci>KH_COASH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COASH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>SUC_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_SUC_x</ci>
                        <ci>KH_SUC_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SUC_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>FUM_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_FUM_x</ci>
                        <ci>KH_FUM_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FUM_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>MAL_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_MAL_x</ci>
                        <ci>KH_MAL_x</ci>
                        <apply>
                           <power/>
                           <ci>P_MAL_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>GLU_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_GLU_x</ci>
                        <ci>KH_GLU_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GLU_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ASP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ASP_x</ci>
                        <ci>KH_ASP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ASP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>K_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_K_x</ci>
                        <ci>KH_K_x</ci>
                        <apply>
                           <power/>
                           <ci>P_K_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>Mg_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_Mg_x</ci>
                        <ci>KH_Mg_x</ci>
                        <apply>
                           <power/>
                           <ci>P_Mg_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>O2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_O2_x</ci>
                        <ci>KH_O2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_O2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>FADH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_FADH2_x</ci>
                        <ci>KH_FADH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FADH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>FAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_FAD_x</ci>
                        <ci>KH_FAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>CO2_tot_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_CO2_tot_x</ci>
                        <ci>KH_CO2_tot_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CO2_tot_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dMgB_dK</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>H_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_H_x</ci>
                        <ci>KK_H_x</ci>
                        <apply>
                           <power/>
                           <ci>P_H_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ATP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ATP_x</ci>
                        <ci>KK_ATP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ATP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ADP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ADP_x</ci>
                        <ci>KK_ADP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ADP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>AMP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_AMP_x</ci>
                        <ci>KK_AMP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AMP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>GTP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_GTP_x</ci>
                        <ci>KK_GTP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GTP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>GDP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_GDP_x</ci>
                        <ci>KK_GDP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GDP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>PI_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_PI_x</ci>
                        <ci>KK_PI_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PI_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_NADH_x</ci>
                        <ci>KK_NADH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NADH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>NAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_NAD_x</ci>
                        <ci>KK_NAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>QH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_QH2_x</ci>
                        <ci>KK_QH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_QH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>COQ_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_COQ_x</ci>
                        <ci>KK_COQ_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COQ_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>PYR_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_PYR_x</ci>
                        <ci>KK_PYR_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PYR_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_OAA_x</ci>
                        <ci>KK_OAA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_OAA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ACCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ACCOA_x</ci>
                        <ci>KK_ACCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ACCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>CIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_CIT_x</ci>
                        <ci>KK_CIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ICIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ICIT_x</ci>
                        <ci>KK_ICIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ICIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>AKG_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_AKG_x</ci>
                        <ci>KK_AKG_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AKG_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>SCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_SCOA_x</ci>
                        <ci>KK_SCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>COASH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_COASH_x</ci>
                        <ci>KK_COASH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COASH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>SUC_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_SUC_x</ci>
                        <ci>KK_SUC_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SUC_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>FUM_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_FUM_x</ci>
                        <ci>KK_FUM_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FUM_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>MAL_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_MAL_x</ci>
                        <ci>KK_MAL_x</ci>
                        <apply>
                           <power/>
                           <ci>P_MAL_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>GLU_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_GLU_x</ci>
                        <ci>KK_GLU_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GLU_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>ASP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_ASP_x</ci>
                        <ci>KK_ASP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ASP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>K_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_K_x</ci>
                        <ci>KK_K_x</ci>
                        <apply>
                           <power/>
                           <ci>P_K_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>Mg_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_Mg_x</ci>
                        <ci>KK_Mg_x</ci>
                        <apply>
                           <power/>
                           <ci>P_Mg_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>O2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_O2_x</ci>
                        <ci>KK_O2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_O2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>FADH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_FADH2_x</ci>
                        <ci>KK_FADH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FADH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>FAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_FAD_x</ci>
                        <ci>KK_FAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Mg_x</ci>
                        <ci>CO2_tot_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KMg_CO2_tot_x</ci>
                        <ci>KK_CO2_tot_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CO2_tot_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dMgB_dMg</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_H_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_H_x</ci>
                        </apply>
                     </apply>
                     <ci>H_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_H_x</ci>
                     <apply>
                        <power/>
                        <ci>P_H_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ATP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ATP_x</ci>
                        </apply>
                     </apply>
                     <ci>ATP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_ATP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ATP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ADP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ADP_x</ci>
                        </apply>
                     </apply>
                     <ci>ADP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_ADP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ADP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_AMP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_AMP_x</ci>
                        </apply>
                     </apply>
                     <ci>AMP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_AMP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_AMP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_GTP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_GTP_x</ci>
                        </apply>
                     </apply>
                     <ci>GTP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_GTP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GTP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_GDP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_GDP_x</ci>
                        </apply>
                     </apply>
                     <ci>GDP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_GDP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GDP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_PI_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_PI_x</ci>
                        </apply>
                     </apply>
                     <ci>PI_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_PI_x</ci>
                     <apply>
                        <power/>
                        <ci>P_PI_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_NADH_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_NADH_x</ci>
                        </apply>
                     </apply>
                     <ci>NADH_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_NADH_x</ci>
                     <apply>
                        <power/>
                        <ci>P_NADH_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_NAD_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_NAD_x</ci>
                        </apply>
                     </apply>
                     <ci>NAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_NAD_x</ci>
                     <apply>
                        <power/>
                        <ci>P_NAD_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_QH2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_QH2_x</ci>
                        </apply>
                     </apply>
                     <ci>QH2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_QH2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_QH2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_COQ_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_COQ_x</ci>
                        </apply>
                     </apply>
                     <ci>COQ_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_COQ_x</ci>
                     <apply>
                        <power/>
                        <ci>P_COQ_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_PYR_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_PYR_x</ci>
                        </apply>
                     </apply>
                     <ci>PYR_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_PYR_x</ci>
                     <apply>
                        <power/>
                        <ci>P_PYR_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_OAA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_OAA_x</ci>
                        </apply>
                     </apply>
                     <ci>OAA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_OAA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_OAA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ACCOA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ACCOA_x</ci>
                        </apply>
                     </apply>
                     <ci>ACCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_ACCOA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ACCOA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_CIT_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_CIT_x</ci>
                        </apply>
                     </apply>
                     <ci>CIT_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_CIT_x</ci>
                     <apply>
                        <power/>
                        <ci>P_CIT_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ICIT_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ICIT_x</ci>
                        </apply>
                     </apply>
                     <ci>ICIT_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_ICIT_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ICIT_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_AKG_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_AKG_x</ci>
                        </apply>
                     </apply>
                     <ci>AKG_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_AKG_x</ci>
                     <apply>
                        <power/>
                        <ci>P_AKG_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_SCOA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_SCOA_x</ci>
                        </apply>
                     </apply>
                     <ci>SCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_SCOA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_SCOA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_COASH_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_COASH_x</ci>
                        </apply>
                     </apply>
                     <ci>COASH_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_COASH_x</ci>
                     <apply>
                        <power/>
                        <ci>P_COASH_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_SUC_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_SUC_x</ci>
                        </apply>
                     </apply>
                     <ci>SUC_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_SUC_x</ci>
                     <apply>
                        <power/>
                        <ci>P_SUC_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_FUM_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_FUM_x</ci>
                        </apply>
                     </apply>
                     <ci>FUM_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_FUM_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FUM_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_MAL_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_MAL_x</ci>
                        </apply>
                     </apply>
                     <ci>MAL_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_MAL_x</ci>
                     <apply>
                        <power/>
                        <ci>P_MAL_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_GLU_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_GLU_x</ci>
                        </apply>
                     </apply>
                     <ci>GLU_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_GLU_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GLU_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ASP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_ASP_x</ci>
                        </apply>
                     </apply>
                     <ci>ASP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_ASP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ASP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_K_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_K_x</ci>
                        </apply>
                     </apply>
                     <ci>K_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_K_x</ci>
                     <apply>
                        <power/>
                        <ci>P_K_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_Mg_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_Mg_x</ci>
                        </apply>
                     </apply>
                     <ci>Mg_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_Mg_x</ci>
                     <apply>
                        <power/>
                        <ci>P_Mg_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_O2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_O2_x</ci>
                        </apply>
                     </apply>
                     <ci>O2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_O2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_O2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_FADH2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_FADH2_x</ci>
                        </apply>
                     </apply>
                     <ci>FADH2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_FADH2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FADH2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_FAD_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_FAD_x</ci>
                        </apply>
                     </apply>
                     <ci>FAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_FAD_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FAD_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_CO2_tot_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>K_x</ci>
                           <ci>KK_CO2_tot_x</ci>
                        </apply>
                     </apply>
                     <ci>CO2_tot_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KMg_CO2_tot_x</ci>
                     <apply>
                        <power/>
                        <ci>P_CO2_tot_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dKB_dH</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>H_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_H_x</ci>
                        <ci>KH_H_x</ci>
                        <apply>
                           <power/>
                           <ci>P_H_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ATP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ATP_x</ci>
                        <ci>KH_ATP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ATP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ADP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ADP_x</ci>
                        <ci>KH_ADP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ADP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>AMP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_AMP_x</ci>
                        <ci>KH_AMP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AMP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>GTP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_GTP_x</ci>
                        <ci>KH_GTP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GTP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>GDP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_GDP_x</ci>
                        <ci>KH_GDP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GDP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>PI_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_PI_x</ci>
                        <ci>KH_PI_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PI_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_NADH_x</ci>
                        <ci>KH_NADH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NADH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>NAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_NAD_x</ci>
                        <ci>KH_NAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>QH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_QH2_x</ci>
                        <ci>KH_QH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_QH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>COQ_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_COQ_x</ci>
                        <ci>KH_COQ_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COQ_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>PYR_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_PYR_x</ci>
                        <ci>KH_PYR_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PYR_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_OAA_x</ci>
                        <ci>KH_OAA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_OAA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ACCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ACCOA_x</ci>
                        <ci>KH_ACCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ACCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>CIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_CIT_x</ci>
                        <ci>KH_CIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ICIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ICIT_x</ci>
                        <ci>KH_ICIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ICIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>AKG_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_AKG_x</ci>
                        <ci>KH_AKG_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AKG_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>SCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_SCOA_x</ci>
                        <ci>KH_SCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>COASH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_COASH_x</ci>
                        <ci>KH_COASH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COASH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>SUC_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_SUC_x</ci>
                        <ci>KH_SUC_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SUC_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>FUM_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_FUM_x</ci>
                        <ci>KH_FUM_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FUM_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>MAL_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_MAL_x</ci>
                        <ci>KH_MAL_x</ci>
                        <apply>
                           <power/>
                           <ci>P_MAL_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>GLU_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_GLU_x</ci>
                        <ci>KH_GLU_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GLU_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ASP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ASP_x</ci>
                        <ci>KH_ASP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ASP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>K_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_K_x</ci>
                        <ci>KH_K_x</ci>
                        <apply>
                           <power/>
                           <ci>P_K_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>Mg_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_Mg_x</ci>
                        <ci>KH_Mg_x</ci>
                        <apply>
                           <power/>
                           <ci>P_Mg_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>O2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_O2_x</ci>
                        <ci>KH_O2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_O2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>FADH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_FADH2_x</ci>
                        <ci>KH_FADH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FADH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>FAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_FAD_x</ci>
                        <ci>KH_FAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>CO2_tot_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_CO2_tot_x</ci>
                        <ci>KH_CO2_tot_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CO2_tot_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dKB_dMg</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>H_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_H_x</ci>
                        <ci>KMg_H_x</ci>
                        <apply>
                           <power/>
                           <ci>P_H_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ATP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ATP_x</ci>
                        <ci>KMg_ATP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ATP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ADP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ADP_x</ci>
                        <ci>KMg_ADP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ADP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>AMP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_AMP_x</ci>
                        <ci>KMg_AMP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AMP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>GTP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_GTP_x</ci>
                        <ci>KMg_GTP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GTP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>GDP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_GDP_x</ci>
                        <ci>KMg_GDP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GDP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>PI_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_PI_x</ci>
                        <ci>KMg_PI_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PI_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>NADH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_NADH_x</ci>
                        <ci>KMg_NADH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NADH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>NAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_NAD_x</ci>
                        <ci>KMg_NAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_NAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>QH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_QH2_x</ci>
                        <ci>KMg_QH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_QH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>COQ_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_COQ_x</ci>
                        <ci>KMg_COQ_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COQ_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>PYR_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_PYR_x</ci>
                        <ci>KMg_PYR_x</ci>
                        <apply>
                           <power/>
                           <ci>P_PYR_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>OAA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_OAA_x</ci>
                        <ci>KMg_OAA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_OAA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ACCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ACCOA_x</ci>
                        <ci>KMg_ACCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ACCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>CIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_CIT_x</ci>
                        <ci>KMg_CIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ICIT_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ICIT_x</ci>
                        <ci>KMg_ICIT_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ICIT_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>AKG_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_AKG_x</ci>
                        <ci>KMg_AKG_x</ci>
                        <apply>
                           <power/>
                           <ci>P_AKG_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>SCOA_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_SCOA_x</ci>
                        <ci>KMg_SCOA_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SCOA_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>COASH_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_COASH_x</ci>
                        <ci>KMg_COASH_x</ci>
                        <apply>
                           <power/>
                           <ci>P_COASH_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>SUC_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_SUC_x</ci>
                        <ci>KMg_SUC_x</ci>
                        <apply>
                           <power/>
                           <ci>P_SUC_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>FUM_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_FUM_x</ci>
                        <ci>KMg_FUM_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FUM_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>MAL_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_MAL_x</ci>
                        <ci>KMg_MAL_x</ci>
                        <apply>
                           <power/>
                           <ci>P_MAL_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>GLU_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_GLU_x</ci>
                        <ci>KMg_GLU_x</ci>
                        <apply>
                           <power/>
                           <ci>P_GLU_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>ASP_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_ASP_x</ci>
                        <ci>KMg_ASP_x</ci>
                        <apply>
                           <power/>
                           <ci>P_ASP_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>K_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_K_x</ci>
                        <ci>KMg_K_x</ci>
                        <apply>
                           <power/>
                           <ci>P_K_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>Mg_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_Mg_x</ci>
                        <ci>KMg_Mg_x</ci>
                        <apply>
                           <power/>
                           <ci>P_Mg_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>O2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_O2_x</ci>
                        <ci>KMg_O2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_O2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>FADH2_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_FADH2_x</ci>
                        <ci>KMg_FADH2_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FADH2_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>FAD_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_FAD_x</ci>
                        <ci>KMg_FAD_x</ci>
                        <apply>
                           <power/>
                           <ci>P_FAD_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>K_x</ci>
                        <ci>CO2_tot_x</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>KK_CO2_tot_x</ci>
                        <ci>KMg_CO2_tot_x</ci>
                        <apply>
                           <power/>
                           <ci>P_CO2_tot_x</ci>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dKB_dK</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_H_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_H_x</ci>
                        </apply>
                     </apply>
                     <ci>H_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_H_x</ci>
                     <apply>
                        <power/>
                        <ci>P_H_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ATP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ATP_x</ci>
                        </apply>
                     </apply>
                     <ci>ATP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_ATP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ATP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ADP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ADP_x</ci>
                        </apply>
                     </apply>
                     <ci>ADP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_ADP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ADP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_AMP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_AMP_x</ci>
                        </apply>
                     </apply>
                     <ci>AMP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_AMP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_AMP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_GTP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_GTP_x</ci>
                        </apply>
                     </apply>
                     <ci>GTP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_GTP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GTP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_GDP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_GDP_x</ci>
                        </apply>
                     </apply>
                     <ci>GDP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_GDP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GDP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_PI_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_PI_x</ci>
                        </apply>
                     </apply>
                     <ci>PI_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_PI_x</ci>
                     <apply>
                        <power/>
                        <ci>P_PI_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_NADH_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_NADH_x</ci>
                        </apply>
                     </apply>
                     <ci>NADH_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_NADH_x</ci>
                     <apply>
                        <power/>
                        <ci>P_NADH_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_NAD_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_NAD_x</ci>
                        </apply>
                     </apply>
                     <ci>NAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_NAD_x</ci>
                     <apply>
                        <power/>
                        <ci>P_NAD_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_QH2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_QH2_x</ci>
                        </apply>
                     </apply>
                     <ci>QH2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_QH2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_QH2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_COQ_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_COQ_x</ci>
                        </apply>
                     </apply>
                     <ci>COQ_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_COQ_x</ci>
                     <apply>
                        <power/>
                        <ci>P_COQ_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_PYR_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_PYR_x</ci>
                        </apply>
                     </apply>
                     <ci>PYR_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_PYR_x</ci>
                     <apply>
                        <power/>
                        <ci>P_PYR_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_OAA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_OAA_x</ci>
                        </apply>
                     </apply>
                     <ci>OAA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_OAA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_OAA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ACCOA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ACCOA_x</ci>
                        </apply>
                     </apply>
                     <ci>ACCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_ACCOA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ACCOA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_CIT_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_CIT_x</ci>
                        </apply>
                     </apply>
                     <ci>CIT_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_CIT_x</ci>
                     <apply>
                        <power/>
                        <ci>P_CIT_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ICIT_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ICIT_x</ci>
                        </apply>
                     </apply>
                     <ci>ICIT_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_ICIT_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ICIT_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_AKG_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_AKG_x</ci>
                        </apply>
                     </apply>
                     <ci>AKG_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_AKG_x</ci>
                     <apply>
                        <power/>
                        <ci>P_AKG_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_SCOA_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_SCOA_x</ci>
                        </apply>
                     </apply>
                     <ci>SCOA_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_SCOA_x</ci>
                     <apply>
                        <power/>
                        <ci>P_SCOA_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_COASH_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_COASH_x</ci>
                        </apply>
                     </apply>
                     <ci>COASH_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_COASH_x</ci>
                     <apply>
                        <power/>
                        <ci>P_COASH_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_SUC_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_SUC_x</ci>
                        </apply>
                     </apply>
                     <ci>SUC_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_SUC_x</ci>
                     <apply>
                        <power/>
                        <ci>P_SUC_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_FUM_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_FUM_x</ci>
                        </apply>
                     </apply>
                     <ci>FUM_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_FUM_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FUM_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_MAL_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_MAL_x</ci>
                        </apply>
                     </apply>
                     <ci>MAL_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_MAL_x</ci>
                     <apply>
                        <power/>
                        <ci>P_MAL_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_GLU_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_GLU_x</ci>
                        </apply>
                     </apply>
                     <ci>GLU_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_GLU_x</ci>
                     <apply>
                        <power/>
                        <ci>P_GLU_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_ASP_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_ASP_x</ci>
                        </apply>
                     </apply>
                     <ci>ASP_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_ASP_x</ci>
                     <apply>
                        <power/>
                        <ci>P_ASP_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_K_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_K_x</ci>
                        </apply>
                     </apply>
                     <ci>K_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_K_x</ci>
                     <apply>
                        <power/>
                        <ci>P_K_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_Mg_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_Mg_x</ci>
                        </apply>
                     </apply>
                     <ci>Mg_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_Mg_x</ci>
                     <apply>
                        <power/>
                        <ci>P_Mg_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_O2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_O2_x</ci>
                        </apply>
                     </apply>
                     <ci>O2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_O2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_O2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_FADH2_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_FADH2_x</ci>
                        </apply>
                     </apply>
                     <ci>FADH2_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_FADH2_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FADH2_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_FAD_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_FAD_x</ci>
                        </apply>
                     </apply>
                     <ci>FAD_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_FAD_x</ci>
                     <apply>
                        <power/>
                        <ci>P_FAD_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>H_x</ci>
                           <ci>KH_CO2_tot_x</ci>
                        </apply>
                        <apply>
                           <divide/>
                           <ci>Mg_x</ci>
                           <ci>KMg_CO2_tot_x</ci>
                        </apply>
                     </apply>
                     <ci>CO2_tot_x</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>KK_CO2_tot_x</ci>
                     <apply>
                        <power/>
                        <ci>P_CO2_tot_x</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_H_t</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <plus/>
                                    <apply>
                                       <minus/>
                                       <apply>
                                          <plus/>
                                          <apply>
                                             <minus/>
                                             <ci>J_pdh</ci>
                                          </apply>
                                          <apply>
                                             <times/>
                                             <cn cellml:units="dimensionless">2</cn>
                                             <ci>J_cits</ci>
                                          </apply>
                                       </apply>
                                       <ci>J_akgd</ci>
                                    </apply>
                                    <ci>J_scoas</ci>
                                    <ci>J_mdh</ci>
                                    <ci>J_PYRH</ci>
                                    <ci>J_GLUH</ci>
                                    <ci>J_CITMAL</ci>
                                 </apply>
                                 <ci>J_ASPGLU</ci>
                              </apply>
                              <apply>
                                 <times/>
                                 <cn cellml:units="dimensionless">5</cn>
                                 <ci>J_C1</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>J_C3</ci>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">4</cn>
                           <ci>J_C4</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>n_A</ci>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                        <ci>J_F1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>J_PIHt</ci>
                     </apply>
                     <ci>J_Hle</ci>
                  </apply>
                  <ci>J_KH</ci>
               </apply>
               <ci>W_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_Mg_t</ci>
            <cn cellml:units="molar_per_second">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>J_K_t</ci>
            <apply>
               <divide/>
               <ci>J_KH</ci>
               <ci>W_x</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>phi_H</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_H_x</ci>
                           <ci>P_H_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dATP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_ATP_x</ci>
                           <ci>P_ATP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dADP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_ADP_x</ci>
                           <ci>P_ADP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dAMP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_AMP_x</ci>
                           <ci>P_AMP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dGTP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_GTP_x</ci>
                           <ci>P_GTP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dGDP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_GDP_x</ci>
                           <ci>P_GDP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dPI_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_PI_x</ci>
                           <ci>P_PI_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dNADH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_NADH_x</ci>
                           <ci>P_NADH_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dNAD_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_NAD_x</ci>
                           <ci>P_NAD_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dQH2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_QH2_x</ci>
                           <ci>P_QH2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dCOQ_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_COQ_x</ci>
                           <ci>P_COQ_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dPYR_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_PYR_x</ci>
                           <ci>P_PYR_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dOAA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_OAA_x</ci>
                           <ci>P_OAA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dACCOA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_ACCOA_x</ci>
                           <ci>P_ACCOA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dCIT_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_CIT_x</ci>
                           <ci>P_CIT_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dICIT_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_ICIT_x</ci>
                           <ci>P_ICIT_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dAKG_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_AKG_x</ci>
                           <ci>P_AKG_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dSCOA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_SCOA_x</ci>
                           <ci>P_SCOA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dCOASH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_COASH_x</ci>
                           <ci>P_COASH_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dSUC_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_SUC_x</ci>
                           <ci>P_SUC_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dFUM_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_FUM_x</ci>
                           <ci>P_FUM_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dMAL_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_MAL_x</ci>
                           <ci>P_MAL_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dGLU_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_GLU_x</ci>
                           <ci>P_GLU_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dASP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_ASP_x</ci>
                           <ci>P_ASP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dK_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_K_x</ci>
                           <ci>P_K_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dMg_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_Mg_x</ci>
                           <ci>P_Mg_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dO2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_O2_x</ci>
                           <ci>P_O2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dFADH2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_FADH2_x</ci>
                           <ci>P_FADH2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dFAD_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_FAD_x</ci>
                           <ci>P_FAD_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>H_x</ci>
                           <ci>dCO2_tot_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KH_CO2_tot_x</ci>
                           <ci>P_CO2_tot_x</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <ci>J_H_t</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>phi_Mg</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_H_x</ci>
                           <ci>P_H_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dATP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_ATP_x</ci>
                           <ci>P_ATP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dADP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_ADP_x</ci>
                           <ci>P_ADP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dAMP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_AMP_x</ci>
                           <ci>P_AMP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dGTP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_GTP_x</ci>
                           <ci>P_GTP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dGDP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_GDP_x</ci>
                           <ci>P_GDP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dPI_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_PI_x</ci>
                           <ci>P_PI_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dNADH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_NADH_x</ci>
                           <ci>P_NADH_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dNAD_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_NAD_x</ci>
                           <ci>P_NAD_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dQH2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_QH2_x</ci>
                           <ci>P_QH2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dCOQ_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_COQ_x</ci>
                           <ci>P_COQ_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dPYR_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_PYR_x</ci>
                           <ci>P_PYR_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dOAA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_OAA_x</ci>
                           <ci>P_OAA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dACCOA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_ACCOA_x</ci>
                           <ci>P_ACCOA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dCIT_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_CIT_x</ci>
                           <ci>P_CIT_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dICIT_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_ICIT_x</ci>
                           <ci>P_ICIT_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dAKG_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_AKG_x</ci>
                           <ci>P_AKG_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dSCOA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_SCOA_x</ci>
                           <ci>P_SCOA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dCOASH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_COASH_x</ci>
                           <ci>P_COASH_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dSUC_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_SUC_x</ci>
                           <ci>P_SUC_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dFUM_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_FUM_x</ci>
                           <ci>P_FUM_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dMAL_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_MAL_x</ci>
                           <ci>P_MAL_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dGLU_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_GLU_x</ci>
                           <ci>P_GLU_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dASP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_ASP_x</ci>
                           <ci>P_ASP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dK_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_K_x</ci>
                           <ci>P_K_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dMg_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_Mg_x</ci>
                           <ci>P_Mg_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dO2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_O2_x</ci>
                           <ci>P_O2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dFADH2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_FADH2_x</ci>
                           <ci>P_FADH2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dFAD_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_FAD_x</ci>
                           <ci>P_FAD_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>Mg_x</ci>
                           <ci>dCO2_tot_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KMg_CO2_tot_x</ci>
                           <ci>P_CO2_tot_x</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <ci>J_Mg_t</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>phi_K</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_H_x</ci>
                           <ci>P_H_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dATP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_ATP_x</ci>
                           <ci>P_ATP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dADP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_ADP_x</ci>
                           <ci>P_ADP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dAMP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_AMP_x</ci>
                           <ci>P_AMP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dGTP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_GTP_x</ci>
                           <ci>P_GTP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dGDP_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_GDP_x</ci>
                           <ci>P_GDP_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dPI_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_PI_x</ci>
                           <ci>P_PI_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dNADH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_NADH_x</ci>
                           <ci>P_NADH_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dNAD_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_NAD_x</ci>
                           <ci>P_NAD_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dQH2_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_QH2_x</ci>
                           <ci>P_QH2_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dCOQ_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_COQ_x</ci>
                           <ci>P_COQ_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dPYR_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_PYR_x</ci>
                           <ci>P_PYR_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dOAA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_OAA_x</ci>
                           <ci>P_OAA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dACCOA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_ACCOA_x</ci>
                           <ci>P_ACCOA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dCIT_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_CIT_x</ci>
                           <ci>P_CIT_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dICIT_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_ICIT_x</ci>
                           <ci>P_ICIT_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dAKG_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_AKG_x</ci>
                           <ci>P_AKG_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dSCOA_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_SCOA_x</ci>
                           <ci>P_SCOA_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <times/>
                           <ci>K_x</ci>
                           <ci>dCOASH_x_dt</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>KK_COASH_x</ci>
                           <ci>P_COASH_x</ci>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
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                           <ci>K_x</ci>
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                           <ci>KK_Mg_x</ci>
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                           <ci>KK_CO2_tot_x</ci>
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      <map_variables variable_1="dGf1_CIT" variable_2="dGf1_CIT"/>
      <map_variables variable_1="dGf1_OAA" variable_2="dGf1_OAA"/>
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      <map_variables variable_1="dGf1_SCOA" variable_2="dGf1_SCOA"/>
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      <map_variables variable_1="dGf1_QH2" variable_2="dGf1_QH2"/>
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      <map_variables variable_1="dGf1_Cred" variable_2="dGf1_Cred"/>
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      <map_components component_1="P_NADH" component_2="J_pdh"/>
      <map_variables variable_1="P_NADH_x" variable_2="P_NADH_x"/>
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      <map_components component_1="P_PYR" component_2="J_pdh"/>
      <map_variables variable_1="P_PYR_x" variable_2="P_PYR_x"/>
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      <map_components component_1="P_COASH" component_2="J_pdh"/>
      <map_variables variable_1="P_COASH_x" variable_2="P_COASH_x"/>
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      <map_components component_1="P_NAD" component_2="J_pdh"/>
      <map_variables variable_1="P_NAD_x" variable_2="P_NAD_x"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_cits"/>
      <map_variables variable_1="uATP_x" variable_2="uATP_x"/>
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      <map_components component_1="P_ADP" component_2="J_cits"/>
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      <map_components component_1="P_AMP" component_2="J_cits"/>
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      <map_components component_1="P_CIT" component_2="J_cits"/>
      <map_variables variable_1="uCIT_x" variable_2="uCIT_x"/>
      <map_variables variable_1="P_CIT_x" variable_2="P_CIT_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_COASH" component_2="J_cits"/>
      <map_variables variable_1="P_COASH_x" variable_2="P_COASH_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ACCOA" component_2="J_cits"/>
      <map_variables variable_1="P_ACCOA_x" variable_2="P_ACCOA_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_OAA" component_2="J_cits"/>
      <map_variables variable_1="P_OAA_x" variable_2="P_OAA_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_CIT" component_2="J_acon"/>
      <map_variables variable_1="P_CIT_x" variable_2="P_CIT_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ICIT" component_2="J_acon"/>
      <map_variables variable_1="P_ICIT_x" variable_2="P_ICIT_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_CO2_tot" component_2="J_isod"/>
      <map_variables variable_1="P_CO2_tot_x" variable_2="P_CO2_tot_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_AKG" component_2="J_isod"/>
      <map_variables variable_1="P_AKG_x" variable_2="P_AKG_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_NADH" component_2="J_isod"/>
      <map_variables variable_1="P_NADH_x" variable_2="P_NADH_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_NAD" component_2="J_isod"/>
      <map_variables variable_1="P_NAD_x" variable_2="P_NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ICIT" component_2="J_isod"/>
      <map_variables variable_1="P_ICIT_x" variable_2="P_ICIT_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_isod"/>
      <map_variables variable_1="uATP_x" variable_2="fATP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_isod"/>
      <map_variables variable_1="uADP_x" variable_2="fADP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_akgd"/>
      <map_variables variable_1="uATP_x" variable_2="fATP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_akgd"/>
      <map_variables variable_1="uADP_x" variable_2="fADP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_CO2_tot" component_2="J_akgd"/>
      <map_variables variable_1="P_CO2_tot_x" variable_2="P_CO2_tot_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_SCOA" component_2="J_akgd"/>
      <map_variables variable_1="P_SCOA_x" variable_2="P_SCOA_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_NADH" component_2="J_akgd"/>
      <map_variables variable_1="P_NADH_x" variable_2="P_NADH_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_AKG" component_2="J_akgd"/>
      <map_variables variable_1="P_AKG_x" variable_2="P_AKG_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_COASH" component_2="J_akgd"/>
      <map_variables variable_1="P_COASH_x" variable_2="P_COASH_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_NAD" component_2="J_akgd"/>
      <map_variables variable_1="P_NAD_x" variable_2="P_NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_COASH" component_2="J_scoas"/>
      <map_variables variable_1="P_COASH_x" variable_2="P_COASH_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_SUC" component_2="J_scoas"/>
      <map_variables variable_1="P_SUC_x" variable_2="P_SUC_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GTP" component_2="J_scoas"/>
      <map_variables variable_1="P_GTP_x" variable_2="P_GTP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GDP" component_2="J_scoas"/>
      <map_variables variable_1="P_GDP_x" variable_2="P_GDP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_SCOA" component_2="J_scoas"/>
      <map_variables variable_1="P_SCOA_x" variable_2="P_SCOA_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_PI" component_2="J_scoas"/>
      <map_variables variable_1="P_PI_x" variable_2="P_PI_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_FUM" component_2="J_sdh"/>
      <map_variables variable_1="P_FUM_x" variable_2="P_FUM_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_QH2" component_2="J_sdh"/>
      <map_variables variable_1="P_QH2_x" variable_2="P_QH2_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_COQ" component_2="J_sdh"/>
      <map_variables variable_1="P_COQ_x" variable_2="P_COQ_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_SUC" component_2="J_sdh"/>
      <map_variables variable_1="P_SUC_x" variable_2="P_SUC_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_MAL" component_2="J_fum"/>
      <map_variables variable_1="P_MAL_x" variable_2="P_MAL_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_FUM" component_2="J_fum"/>
      <map_variables variable_1="P_FUM_x" variable_2="P_FUM_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_fum"/>
      <map_variables variable_1="uATP_x" variable_2="fATP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_fum"/>
      <map_variables variable_1="uADP_x" variable_2="fADP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GTP" component_2="J_fum"/>
      <map_variables variable_1="uGTP_x" variable_2="fGTP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GDP" component_2="J_fum"/>
      <map_variables variable_1="uGDP_x" variable_2="fGDP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_MAL" component_2="J_mdh"/>
      <map_variables variable_1="P_MAL_x" variable_2="P_MAL_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_OAA" component_2="J_mdh"/>
      <map_variables variable_1="P_OAA_x" variable_2="P_OAA_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_NAD" component_2="J_mdh"/>
      <map_variables variable_1="P_NAD_x" variable_2="P_NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_NADH" component_2="J_mdh"/>
      <map_variables variable_1="P_NADH_x" variable_2="P_NADH_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_mdh"/>
      <map_variables variable_1="uATP_x" variable_2="fATP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_mdh"/>
      <map_variables variable_1="uADP_x" variable_2="fADP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_AMP" component_2="J_mdh"/>
      <map_variables variable_1="uAMP_x" variable_2="fAMP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_ndk"/>
      <map_variables variable_1="P_ATP_x" variable_2="P_ATP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GTP" component_2="J_ndk"/>
      <map_variables variable_1="P_GTP_x" variable_2="P_GTP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_ndk"/>
      <map_variables variable_1="P_ADP_x" variable_2="P_ADP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GDP" component_2="J_ndk"/>
      <map_variables variable_1="P_GDP_x" variable_2="P_GDP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_AMP" component_2="J_ndk"/>
      <map_variables variable_1="uAMP_x" variable_2="fAMP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_OAA" component_2="J_got"/>
      <map_variables variable_1="P_OAA_x" variable_2="P_OAA_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ASP" component_2="J_got"/>
      <map_variables variable_1="P_ASP_x" variable_2="P_ASP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GLU" component_2="J_got"/>
      <map_variables variable_1="P_GLU_x" variable_2="P_GLU_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_AKG" component_2="J_got"/>
      <map_variables variable_1="P_AKG_x" variable_2="P_AKG_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_PYR" component_2="J_PYRH"/>
      <map_variables variable_1="P_PYR_x" variable_2="P_PYR_x"/>
      <map_variables variable_1="P_PYR_i" variable_2="P_PYR_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GLU" component_2="J_GLUH"/>
      <map_variables variable_1="P_GLU_x" variable_2="P_GLU_x"/>
      <map_variables variable_1="P_GLU_i" variable_2="P_GLU_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_MAL" component_2="J_CITMAL"/>
      <map_variables variable_1="P_MAL_x" variable_2="P_MAL_x"/>
      <map_variables variable_1="P_MAL_i" variable_2="P_MAL_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_CIT" component_2="J_CITMAL"/>
      <map_variables variable_1="hCIT_x" variable_2="hCIT_x"/>
      <map_variables variable_1="hCIT_i" variable_2="hCIT_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_MAL" component_2="J_MALPI"/>
      <map_variables variable_1="P_MAL_x" variable_2="P_MAL_x"/>
      <map_variables variable_1="P_MAL_i" variable_2="P_MAL_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_PI" component_2="J_MALPI"/>
      <map_variables variable_1="P_PI_x" variable_2="P_PI_x"/>
      <map_variables variable_1="P_PI_i" variable_2="P_PI_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GLU" component_2="J_ASPGLU"/>
      <map_variables variable_1="P_GLU_x" variable_2="P_GLU_x"/>
      <map_variables variable_1="P_GLU_i" variable_2="P_GLU_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ASP" component_2="J_ASPGLU"/>
      <map_variables variable_1="P_ASP_x" variable_2="P_ASP_x"/>
      <map_variables variable_1="P_ASP_i" variable_2="P_ASP_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_MAL" component_2="J_SUCMAL"/>
      <map_variables variable_1="P_MAL_x" variable_2="P_MAL_x"/>
      <map_variables variable_1="P_MAL_i" variable_2="P_MAL_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_SUC" component_2="J_SUCMAL"/>
      <map_variables variable_1="P_SUC_x" variable_2="P_SUC_x"/>
      <map_variables variable_1="P_SUC_i" variable_2="P_SUC_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_F1"/>
      <map_variables variable_1="P_ATP_x" variable_2="P_ATP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_F1"/>
      <map_variables variable_1="P_ADP_x" variable_2="P_ADP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_PI" component_2="J_F1"/>
      <map_variables variable_1="P_PI_x" variable_2="P_PI_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_ANT"/>
      <map_variables variable_1="P_ATP_x" variable_2="P_ATP_x"/>
      <map_variables variable_1="P_ATP_i" variable_2="P_ATP_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_ANT"/>
      <map_variables variable_1="P_ADP_x" variable_2="P_ADP_x"/>
      <map_variables variable_1="P_ADP_i" variable_2="P_ADP_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_PI" component_2="J_PIHt"/>
      <map_variables variable_1="hPI_x" variable_2="hPI_x"/>
      <map_variables variable_1="hPI_i" variable_2="hPI_i"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_HK"/>
      <map_variables variable_1="P_ATP_c" variable_2="P_ATP_c"/>
      <map_variables variable_1="K_Mg" variable_2="KMg_ATP"/>
      <map_variables variable_1="mATP_c" variable_2="mATP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_HK"/>
      <map_variables variable_1="P_ADP_c" variable_2="P_ADP_c"/>
      <map_variables variable_1="K_Mg" variable_2="KMg_ADP"/>
      <map_variables variable_1="mADP_c" variable_2="mADP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_GLC" component_2="J_HK"/>
      <map_variables variable_1="P_GLC_c" variable_2="P_GLC_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_G6P" component_2="J_HK"/>
      <map_variables variable_1="P_G6P_c" variable_2="P_G6P_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_CKc"/>
      <map_variables variable_1="P_ATP_c" variable_2="P_ATP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_CKc"/>
      <map_variables variable_1="P_ADP_c" variable_2="P_ADP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ATP" component_2="J_AK"/>
      <map_variables variable_1="P_ATP_i" variable_2="P_ATP_i"/>
      <map_variables variable_1="P_ATP_c" variable_2="P_ATP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_ADP" component_2="J_AK"/>
      <map_variables variable_1="P_ADP_i" variable_2="P_ADP_i"/>
      <map_variables variable_1="P_ADP_c" variable_2="P_ADP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="P_AMP" component_2="J_AK"/>
      <map_variables variable_1="P_AMP_i" variable_2="P_AMP_i"/>
      <map_variables variable_1="P_AMP_c" variable_2="P_AMP_c"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_ASPGLU"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_ASPGLU" variable_2="J_ASPGLU"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_C1"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_C1" variable_2="J_C1"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_C3"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_C3" variable_2="J_C3"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_C4"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_C4" variable_2="J_C4"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_F1"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_F1" variable_2="J_F1"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_ANT"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_ANT" variable_2="J_ANT"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ddPsi_dt" component_2="J_Hle"/>
      <map_variables variable_1="dPsi" variable_2="dPsi"/>
      <map_variables variable_1="J_Hle" variable_2="J_Hle"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="dNAD_x_dt" component_2="J_pdh"/>
      <map_variables variable_1="NAD_x" variable_2="NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="dNAD_x_dt" component_2="J_isod"/>
      <map_variables variable_1="NAD_x" variable_2="NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="dNAD_x_dt" component_2="J_akgd"/>
      <map_variables variable_1="NAD_x" variable_2="NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="dNAD_x_dt" component_2="J_mdh"/>
      <map_variables variable_1="NAD_x" variable_2="NAD_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="dNAD_x_dt" component_2="J_C1"/>
      <map_variables variable_1="NAD_x" variable_2="NAD_x"/>
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   <connection xmlns="http://www.cellml.org/cellml/1.0#">
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   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dOAA_x_dt"/>
      <map_variables variable_1="OAA_x" variable_2="OAA_x"/>
      <map_variables variable_1="dOAA_x_dt" variable_2="dOAA_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dACCOA_x_dt"/>
      <map_variables variable_1="ACCOA_x" variable_2="ACCOA_x"/>
      <map_variables variable_1="dACCOA_x_dt" variable_2="dACCOA_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dCIT_x_dt"/>
      <map_variables variable_1="CIT_x" variable_2="CIT_x"/>
      <map_variables variable_1="dCIT_x_dt" variable_2="dCIT_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dICIT_x_dt"/>
      <map_variables variable_1="ICIT_x" variable_2="ICIT_x"/>
      <map_variables variable_1="dICIT_x_dt" variable_2="dICIT_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dAKG_x_dt"/>
      <map_variables variable_1="AKG_x" variable_2="AKG_x"/>
      <map_variables variable_1="dAKG_x_dt" variable_2="dAKG_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dSCOA_x_dt"/>
      <map_variables variable_1="SCOA_x" variable_2="SCOA_x"/>
      <map_variables variable_1="dSCOA_x_dt" variable_2="dSCOA_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dCOASH_x_dt"/>
      <map_variables variable_1="COASH_x" variable_2="COASH_x"/>
      <map_variables variable_1="dCOASH_x_dt" variable_2="dCOASH_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dSUC_x_dt"/>
      <map_variables variable_1="SUC_x" variable_2="SUC_x"/>
      <map_variables variable_1="dSUC_x_dt" variable_2="dSUC_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dFUM_x_dt"/>
      <map_variables variable_1="FUM_x" variable_2="FUM_x"/>
      <map_variables variable_1="dFUM_x_dt" variable_2="dFUM_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dMAL_x_dt"/>
      <map_variables variable_1="MAL_x" variable_2="MAL_x"/>
      <map_variables variable_1="dMAL_x_dt" variable_2="dMAL_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dGLU_x_dt"/>
      <map_variables variable_1="GLU_x" variable_2="GLU_x"/>
      <map_variables variable_1="dGLU_x_dt" variable_2="dGLU_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dASP_x_dt"/>
      <map_variables variable_1="ASP_x" variable_2="ASP_x"/>
      <map_variables variable_1="dASP_x_dt" variable_2="dASP_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dK_x_dt"/>
      <map_variables variable_1="K_x" variable_2="K_x"/>
      <map_variables variable_1="dK_x_dt" variable_2="dK_x_dt"/>
      <map_variables variable_1="D" variable_2="D"/>
      <map_variables variable_1="phi_H" variable_2="phi_H"/>
      <map_variables variable_1="phi_Mg" variable_2="phi_Mg"/>
      <map_variables variable_1="phi_K" variable_2="phi_K"/>
      <map_variables variable_1="dHB_dMg" variable_2="dHB_dMg"/>
      <map_variables variable_1="dMgB_dH" variable_2="dMgB_dH"/>
      <map_variables variable_1="dKB_dMg" variable_2="dKB_dMg"/>
      <map_variables variable_1="dKB_dH" variable_2="dKB_dH"/>
      <map_variables variable_1="alpha_H" variable_2="alpha_H"/>
      <map_variables variable_1="alpha_Mg" variable_2="alpha_Mg"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dMg_x_dt"/>
      <map_variables variable_1="Mg_x" variable_2="Mg_x"/>
      <map_variables variable_1="dMg_x_dt" variable_2="dMg_x_dt"/>
      <map_variables variable_1="D" variable_2="D"/>
      <map_variables variable_1="phi_H" variable_2="phi_H"/>
      <map_variables variable_1="phi_Mg" variable_2="phi_Mg"/>
      <map_variables variable_1="phi_K" variable_2="phi_K"/>
      <map_variables variable_1="dHB_dK" variable_2="dHB_dK"/>
      <map_variables variable_1="dKB_dH" variable_2="dKB_dH"/>
      <map_variables variable_1="dMgB_dK" variable_2="dMgB_dK"/>
      <map_variables variable_1="dMgB_dH" variable_2="dMgB_dH"/>
      <map_variables variable_1="alpha_H" variable_2="alpha_H"/>
      <map_variables variable_1="alpha_K" variable_2="alpha_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dO2_x_dt"/>
      <map_variables variable_1="O2_x" variable_2="O2_x"/>
      <map_variables variable_1="dO2_x_dt" variable_2="dO2_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dFAD_x_dt"/>
      <map_variables variable_1="FAD_x" variable_2="FAD_x"/>
      <map_variables variable_1="FADH2_x" variable_2="FADH2_x"/>
      <map_variables variable_1="dFAD_x_dt" variable_2="dFAD_x_dt"/>
      <map_variables variable_1="dFADH2_x_dt" variable_2="dFADH2_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="dCO2_tot_x_dt"/>
      <map_variables variable_1="CO2_tot_x" variable_2="CO2_tot_x"/>
      <map_variables variable_1="dCO2_tot_x_dt" variable_2="dCO2_tot_x_dt"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_H"/>
      <map_variables variable_1="P_H_x" variable_2="P_H_x"/>
      <map_variables variable_1="KH_H_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_H_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_H_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_ATP"/>
      <map_variables variable_1="P_ATP_x" variable_2="P_ATP_x"/>
      <map_variables variable_1="KH_ATP_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_ATP_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_ATP_x" variable_2="K_K"/>
      <map_variables variable_1="KH_GTP_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_GTP_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_GTP_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_ADP"/>
      <map_variables variable_1="P_ADP_x" variable_2="P_ADP_x"/>
      <map_variables variable_1="KH_ADP_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_ADP_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_ADP_x" variable_2="K_K"/>
      <map_variables variable_1="KH_GDP_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_GDP_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_GDP_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_AMP"/>
      <map_variables variable_1="P_AMP_x" variable_2="P_AMP_x"/>
      <map_variables variable_1="KH_AMP_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_AMP_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_AMP_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_GTP"/>
      <map_variables variable_1="P_GTP_x" variable_2="P_GTP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_GDP"/>
      <map_variables variable_1="P_GDP_x" variable_2="P_GDP_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_PI"/>
      <map_variables variable_1="P_PI_x" variable_2="P_PI_x"/>
      <map_variables variable_1="KH_PI_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_PI_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_PI_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_NADH"/>
      <map_variables variable_1="P_NADH_x" variable_2="P_NADH_x"/>
      <map_variables variable_1="KH_NADH_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_NADH_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_NADH_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_NAD"/>
      <map_variables variable_1="P_NAD_x" variable_2="P_NAD_x"/>
      <map_variables variable_1="KH_NAD_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_NAD_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_NAD_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_QH2"/>
      <map_variables variable_1="P_QH2_x" variable_2="P_QH2_x"/>
      <map_variables variable_1="KH_QH2_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_QH2_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_QH2_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_COQ"/>
      <map_variables variable_1="P_COQ_x" variable_2="P_COQ_x"/>
      <map_variables variable_1="KH_COQ_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_COQ_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_COQ_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_PYR"/>
      <map_variables variable_1="P_PYR_x" variable_2="P_PYR_x"/>
      <map_variables variable_1="KH_PYR_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_PYR_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_PYR_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_OAA"/>
      <map_variables variable_1="P_OAA_x" variable_2="P_OAA_x"/>
      <map_variables variable_1="KH_OAA_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_OAA_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_OAA_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_ACCOA"/>
      <map_variables variable_1="P_ACCOA_x" variable_2="P_ACCOA_x"/>
      <map_variables variable_1="KH_ACCOA_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_ACCOA_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_ACCOA_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_CIT"/>
      <map_variables variable_1="P_CIT_x" variable_2="P_CIT_x"/>
      <map_variables variable_1="KH_CIT_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_CIT_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_CIT_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_ICIT"/>
      <map_variables variable_1="P_ICIT_x" variable_2="P_ICIT_x"/>
      <map_variables variable_1="KH_ICIT_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_ICIT_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_ICIT_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_AKG"/>
      <map_variables variable_1="P_AKG_x" variable_2="P_AKG_x"/>
      <map_variables variable_1="KH_AKG_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_AKG_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_AKG_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_SCOA"/>
      <map_variables variable_1="P_SCOA_x" variable_2="P_SCOA_x"/>
      <map_variables variable_1="KH_SCOA_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_SCOA_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_SCOA_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_COASH"/>
      <map_variables variable_1="P_COASH_x" variable_2="P_COASH_x"/>
      <map_variables variable_1="KH_COASH_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_COASH_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_COASH_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_SUC"/>
      <map_variables variable_1="P_SUC_x" variable_2="P_SUC_x"/>
      <map_variables variable_1="KH_SUC_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_SUC_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_SUC_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_FUM"/>
      <map_variables variable_1="P_FUM_x" variable_2="P_FUM_x"/>
      <map_variables variable_1="KH_FUM_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_FUM_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_FUM_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_MAL"/>
      <map_variables variable_1="P_MAL_x" variable_2="P_MAL_x"/>
      <map_variables variable_1="KH_MAL_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_MAL_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_MAL_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_GLU"/>
      <map_variables variable_1="P_GLU_x" variable_2="P_GLU_x"/>
      <map_variables variable_1="KH_GLU_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_GLU_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_GLU_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_ASP"/>
      <map_variables variable_1="P_ASP_x" variable_2="P_ASP_x"/>
      <map_variables variable_1="KH_ASP_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_ASP_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_ASP_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_K"/>
      <map_variables variable_1="P_K_x" variable_2="P_K_x"/>
      <map_variables variable_1="KH_K_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_K_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_K_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_Mg"/>
      <map_variables variable_1="P_Mg_x" variable_2="P_Mg_x"/>
      <map_variables variable_1="KH_Mg_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_Mg_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_Mg_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_O2"/>
      <map_variables variable_1="P_O2_x" variable_2="P_O2_x"/>
      <map_variables variable_1="KH_O2_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_O2_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_O2_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_FAD"/>
      <map_variables variable_1="P_FAD_x" variable_2="P_FAD_x"/>
      <map_variables variable_1="KH_FAD_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_FAD_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_FAD_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_FADH2"/>
      <map_variables variable_1="P_FADH2_x" variable_2="P_FADH2_x"/>
      <map_variables variable_1="KH_FADH2_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_FADH2_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_FADH2_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="P_CO2_tot"/>
      <map_variables variable_1="P_CO2_tot_x" variable_2="P_CO2_tot_x"/>
      <map_variables variable_1="KH_CO2_tot_x" variable_2="K_H"/>
      <map_variables variable_1="KMg_CO2_tot_x" variable_2="K_Mg"/>
      <map_variables variable_1="KK_CO2_tot_x" variable_2="K_K"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="parameters"/>
      <map_variables variable_1="n_A" variable_2="n_A"/>
      <map_variables variable_1="W_x" variable_2="W_x"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_pdh"/>
      <map_variables variable_1="J_pdh" variable_2="J_pdh"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_cits"/>
      <map_variables variable_1="J_cits" variable_2="J_cits"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_akgd"/>
      <map_variables variable_1="J_akgd" variable_2="J_akgd"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_scoas"/>
      <map_variables variable_1="J_scoas" variable_2="J_scoas"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_mdh"/>
      <map_variables variable_1="J_mdh" variable_2="J_mdh"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_PYRH"/>
      <map_variables variable_1="J_PYRH" variable_2="J_PYRH"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_GLUH"/>
      <map_variables variable_1="J_GLUH" variable_2="J_GLUH"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="BINDING_IONS" component_2="J_CITMAL"/>
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