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This CellML file was generated on 8/04/2010 at 1:42:05 at p.m. using:

COR (0.9.31.1371)
Copyright 2002-2010 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>Dynamics of Muscle Glycogenolysis Modeled with pH Time Course Computation and pH-Dependent Reaction Equilibria and Enzyme Kinetics </title>
				<author>
					<firstname>Geoffrey</firstname>
					<surname>Nunns</surname>
					<affiliation>
						<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
					</affiliation>
				</author>
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			<section id="sec_status">
				<title>Model Status</title>
				<para>
This CellML model runs in PCenv, COR and OpenCell to recreate the published results. The model was adapted from the original matlab, and the units are consistent throughout. This particular model replicates experiment 29, with the fraction of Glycogen Phosphorylase A set to 40%, and it reproduces original matlab output. 

				</para>
			</section>
			<sect1 id="sec_structure">
				<title>Model Structure</title>
				<para>
ABSTRACT: Cellular metabolites are moieties defined by their specific binding constants to H1, Mg21, and K1 or anions without ligands. As a consequence, every biochemical reaction in the cytoplasm has an associated proton stoichiometry that is generally noninteger- and pH-dependent. Therefore, with metabolic flux, pH is altered in a medium with finite buffer capacity. Apparent equilibrium constants and maximum enzyme velocities, which are functions of pH, are also altered. We augmented an earlier mathematical model of skeletal muscle glycogenolysis with pH-dependent enzyme kinetics and reaction equilibria to
compute the time course of pH changes. Analysis shows that kinetics and final equilibrium states of the closed system are highly constrained by the pH-dependent parameters. This kinetic model of glycogenolysis, coupled to creatine kinase and adenylate kinase, simulated published experiments made with a cell-free enzyme mixture to reconstitute the network and to synthesize PCr and lactate in vitro. Using the enzyme kinetic and thermodynamic data in the literature, the simulations required minimal adjustments of parameters to describe the data. These results show that incorporation of appropriate physical chemistry of the reactions with accurate kinetic modeling gives a reasonable simulation of experimental data and is necessary for a physically correct representation of the metabolic network. The approach is general for modeling metabolic networks beyond the specific pathway and conditions presented here.
</para>
				<para>
The original paper reference is cited below:
</para>
				<para>
Dynamics of Muscle Glycogenolysis Modeled with pH Time Course Computation and pH-Dependent Reaction Equilibria and Enzyme Kinetics, Kalyan Vinnakota, Melissa L. Kemp, and Martin J. Kushmerick, 2006, <emphasis>Biophysical Journal</emphasis>, volume 91, 1264-1287.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/16617075">PubMed ID: 16617075</ulink>
				</para>
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  <dc:title>Dynamics of Muscle Glycogenolysis Modeled with pH Time Course Computation and pH-Dependent Reaction Equilibria and Enzyme Kinetics (Experiment 29, 40% Glycogen Phosphorylase A)</dc:title>
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  <dc:title>The Vinnakota et al. 2006 model of muscle glycogenolysis featuring pH time course computation, pH-dependent reaction equilibria and enzyme kinetics.</dc:title>
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      <variable name="Navg_F6P" units="dimensionless"/>
      <variable name="dNavgF6PdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgF6Pdmg" units="per_molar" public_interface="out"/>
      <variable name="NH_UF6P" units="dimensionless"/>
      <variable name="deltaGof_UF6P" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UF6P" units="kilojoule_per_mole"/>
      <variable name="pKa1_FDP" units="dimensionless"/>
      <variable name="pKa2_FDP" units="dimensionless"/>
      <variable name="pKamg_FDP" units="dimensionless"/>
      <variable name="P_FDP" units="dimensionless"/>
      <variable name="UFDP" units="dimensionless"/>
      <variable name="HFDP" units="dimensionless"/>
      <variable name="H2FDP" units="dimensionless"/>
      <variable name="mgFDP" units="dimensionless" public_interface="out"/>
      <variable name="Navg_FDP" units="dimensionless"/>
      <variable name="dNavgFDPdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgFDPdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgFDPdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgFDPdpH" units="dimensionless" public_interface="out"/>
      <variable name="NH_UFDP" units="dimensionless"/>
      <variable name="deltaGof_UFDP" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UFDP" units="kilojoule_per_mole"/>
      <variable name="pKa1_GAP" units="dimensionless"/>
      <variable name="P_GAP" units="dimensionless"/>
      <variable name="UGAP" units="dimensionless"/>
      <variable name="HGAP" units="dimensionless"/>
      <variable name="Navg_GAP" units="dimensionless"/>
      <variable name="dNavgGAPdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgGAPdmg" units="per_molar" public_interface="out"/>
      <variable name="NH_UGAP" units="dimensionless"/>
      <variable name="deltaGof_UGAP" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UGAP" units="kilojoule_per_mole"/>
      <variable name="pKamg_G3P" units="dimensionless"/>
      <variable name="deltaH1o_G3P" units="kilojoule_per_mole"/>
      <variable name="deltaH1_G3P" units="kilojoule_per_mole"/>
      <variable name="pKa1_G3P" units="dimensionless"/>
      <variable name="P_G3P" units="dimensionless"/>
      <variable name="UG3P" units="dimensionless"/>
      <variable name="HG3P" units="dimensionless"/>
      <variable name="mgG3P" units="dimensionless" public_interface="out"/>
      <variable name="Navg_G3P" units="dimensionless"/>
      <variable name="dNavgG3PdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgG3Pdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgG3Pdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgG3PdpH" units="dimensionless" public_interface="out"/>
      <variable name="NH_UG3P" units="dimensionless"/>
      <variable name="deltaGof_UG3P" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UG3P" units="kilojoule_per_mole"/>
      <variable name="pKa1_DHAP" units="dimensionless"/>
      <variable name="pKamg_DHAP" units="dimensionless"/>
      <variable name="P_DHAP" units="dimensionless"/>
      <variable name="UDHAP" units="dimensionless"/>
      <variable name="HDHAP" units="dimensionless"/>
      <variable name="mgDHAP" units="dimensionless" public_interface="out"/>
      <variable name="Navg_DHAP" units="dimensionless"/>
      <variable name="dNavgDHAPdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgDHAPdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgDHAPdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgDHAPdpH" units="dimensionless" public_interface="out"/>
      <variable name="NH_UDHAP" units="dimensionless"/>
      <variable name="deltaGof_UDHAP" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UDHAP" units="kilojoule_per_mole"/>
      <variable name="pKa1_13DPG" units="dimensionless"/>
      <variable name="P_13DPG" units="dimensionless"/>
      <variable name="U13DPG" units="dimensionless"/>
      <variable name="H13DPG" units="dimensionless"/>
      <variable name="Navg_13DPG" units="dimensionless"/>
      <variable name="dNavg13DPGdH" units="per_molar" public_interface="out"/>
      <variable name="dNavg13DPGdmg" units="per_molar" public_interface="out"/>
      <variable name="NH_U13DPG" units="dimensionless"/>
      <variable name="deltaGof_U13DPG" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_U13DPG" units="kilojoule_per_mole"/>
      <variable name="pKa1_3PG" units="dimensionless"/>
      <variable name="P_3PG" units="dimensionless"/>
      <variable name="U3PG" units="dimensionless"/>
      <variable name="H3PG" units="dimensionless"/>
      <variable name="Navg_3PG" units="dimensionless"/>
      <variable name="dNavg3PGdH" units="per_molar" public_interface="out"/>
      <variable name="dNavg3PGdmg" units="per_molar" public_interface="out"/>
      <variable name="NH_U3PG" units="dimensionless"/>
      <variable name="deltaGof_U3PG" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_U3PG" units="kilojoule_per_mole"/>
      <variable name="pKa1_2PG" units="dimensionless"/>
      <variable name="pKamg_2PG" units="dimensionless"/>
      <variable name="pKak_2PG" units="dimensionless"/>
      <variable name="P_2PG" units="dimensionless"/>
      <variable name="U2PG" units="dimensionless"/>
      <variable name="H2PG" units="dimensionless"/>
      <variable name="mg2PG" units="dimensionless" public_interface="out"/>
      <variable name="k2PG" units="dimensionless"/>
      <variable name="Navg_2PG" units="dimensionless"/>
      <variable name="dNavg2PGdH" units="per_molar" public_interface="out"/>
      <variable name="dNavg2PGdmg" units="per_molar" public_interface="out"/>
      <variable name="dmg2PGdmg" units="per_molar" public_interface="out"/>
      <variable name="dmg2PGdpH" units="dimensionless" public_interface="out"/>
      <variable name="NH_U2PG" units="dimensionless"/>
      <variable name="deltaGof_U2PG" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_U2PG" units="kilojoule_per_mole"/>
      <variable name="pKa1_PEP" units="dimensionless"/>
      <variable name="pKamg_PEP" units="dimensionless"/>
      <variable name="pKak_PEP" units="dimensionless"/>
      <variable name="P_PEP" units="dimensionless"/>
      <variable name="UPEP" units="dimensionless"/>
      <variable name="HPEP" units="dimensionless"/>
      <variable name="kPEP" units="dimensionless"/>
      <variable name="mgPEP" units="dimensionless" public_interface="out"/>
      <variable name="Navg_PEP" units="dimensionless"/>
      <variable name="dNavgPEPdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgPEPdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgPEPdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgPEPdpH" units="dimensionless" public_interface="out"/>
      <variable name="NH_UPEP" units="dimensionless"/>
      <variable name="deltaGof_UPEP" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UPEP" units="kilojoule_per_mole"/>
      <variable name="pKa1_PYR" units="dimensionless"/>
      <variable name="P_PYR" units="dimensionless"/>
      <variable name="UPYR" units="dimensionless"/>
      <variable name="HPYR" units="dimensionless"/>
      <variable name="Navg_PYR" units="dimensionless"/>
      <variable name="dNavgPYRdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgPYRdmg" units="per_molar" public_interface="out"/>
      <variable name="NH_UPYR" units="dimensionless"/>
      <variable name="deltaGof_UPYR" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_UPYR" units="kilojoule_per_mole"/>
      <variable name="pKamg_LAC" units="dimensionless"/>
      <variable name="deltaH1o_LAC" units="kilojoule_per_mole"/>
      <variable name="deltaH1_LAC" units="kilojoule_per_mole"/>
      <variable name="pKa1_LAC" units="dimensionless"/>
      <variable name="P_LAC" units="dimensionless"/>
      <variable name="ULAC" units="dimensionless"/>
      <variable name="HLAC" units="dimensionless"/>
      <variable name="mgLAC" units="dimensionless" public_interface="out"/>
      <variable name="Navg_LAC" units="dimensionless"/>
      <variable name="dNavgLACdH" units="per_molar" public_interface="out"/>
      <variable name="dNavgLACdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgLACdmg" units="per_molar" public_interface="out"/>
      <variable name="dmgLACdpH" units="dimensionless" public_interface="out"/>
      <variable name="NH_ULAC" units="dimensionless"/>
      <variable name="deltaGof_ULAC" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_ULAC" units="kilojoule_per_mole"/>
      <variable name="dNH_GLY" units="dimensionless"/>
      <variable name="deltaGpo_GLY" units="kilojoule_per_mole"/>
      <variable name="NH_NAD" units="dimensionless"/>
      <variable name="deltaGof_NAD" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_NAD" units="kilojoule_per_mole"/>
      <variable name="NH_NADH" units="dimensionless"/>
      <variable name="deltaGof_NADH" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_NADH" units="kilojoule_per_mole"/>
      <variable name="NH_H2O" units="dimensionless"/>
      <variable name="deltaGof_H2O" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_H2O" units="kilojoule_per_mole"/>
      <variable name="NH_H" units="dimensionless"/>
      <variable name="deltaGof_H" units="kilojoule_per_mole"/>
      <variable name="deltaGpof_H" units="kilojoule_per_mole"/>
      <variable name="deltaH_CK" units="dimensionless" public_interface="out"/>
      <variable name="Kref_CK" units="dimensionless"/>
      <variable name="deltaHo_CKo" units="kilojoule_per_mole"/>
      <variable name="deltaH1_CK" units="kilojoule_per_mole"/>
      <variable name="Kref_CKI" units="dimensionless"/>
      <variable name="Kref_CKT" units="dimensionless"/>
      <variable name="deltaGpo_CK" units="kilojoule_per_mole"/>
      <variable name="Kapp_CK" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_ADK" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_ADK" units="kilojoule_per_mole"/>
      <variable name="Kapp_ADK" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_GP" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_GP" units="kilojoule_per_mole"/>
      <variable name="Kapp_GP" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_PGLM" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_PGLM" units="kilojoule_per_mole"/>
      <variable name="Kapp_PGLM" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_PGI" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_PGI" units="kilojoule_per_mole"/>
      <variable name="Kapp_PGI" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_PFK" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_PFK" units="kilojoule_per_mole"/>
      <variable name="Kapp_PFK" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_ALD" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_ALD" units="kilojoule_per_mole"/>
      <variable name="Kapp_ALD" units="molar" public_interface="out"/>
      <variable name="deltaH_TPI" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_TPI" units="kilojoule_per_mole"/>
      <variable name="Kapp_TPI" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_GAPDH" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_GAPDH" units="kilojoule_per_mole"/>
      <variable name="Kapp_GAPDH" units="per_molar" public_interface="out"/>
      <variable name="deltaH_G3PDH" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_G3PDH" units="kilojoule_per_mole"/>
      <variable name="Kapp_G3PDH" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_PGK" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_PGK" units="kilojoule_per_mole"/>
      <variable name="Kapp_PGK" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_PGM" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_PGM" units="kilojoule_per_mole"/>
      <variable name="Kapp_PGM" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_ENOL" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_ENOL" units="kilojoule_per_mole"/>
      <variable name="Kapp_ENOL" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_PK" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_PK" units="kilojoule_per_mole"/>
      <variable name="Kapp_PK" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_LDH" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_LDH" units="kilojoule_per_mole"/>
      <variable name="Kapp_LDH" units="dimensionless" public_interface="out"/>
      <variable name="deltaH_ATPase" units="dimensionless" public_interface="out"/>
      <variable name="deltaGpo_ATPase" units="kilojoule_per_mole"/>
      <variable name="Kapp_ATPase" units="dimensionless" public_interface="out"/>
      <variable name="R" units="kilojoule_per_kelvin_per_mole" public_interface="in"/>
      <variable name="T1" units="kelvin" public_interface="in"/>
      <variable name="T" units="kelvin" public_interface="in"/>
      <variable name="I" units="molar" public_interface="in"/>
      <variable name="mgT" units="molar" public_interface="in"/>
      <variable name="k" units="molar" public_interface="in"/>
      <variable name="c0" units="molar" public_interface="in"/>
      <variable name="mg" units="molar" public_interface="in"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>RT2dadT</ci>
            <cn cellml:units="kilojoule_half_liter_per_3_half_mole">1.4775</cn>
         </apply>
         <apply>
            <eq/>
            <ci>B</ci>
            <cn cellml:units="per_half_molar">1.6</cn>
         </apply>
         <apply>
            <eq/>
            <ci>Icorr</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>RT2dadT</ci>
                  <apply>
                     <root/>
                     <ci>I</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>B</ci>
                     <apply>
                        <root/>
                        <ci>I</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I1</ci>
            <cn cellml:units="molar">0.1</cn>
         </apply>
         <apply>
            <eq/>
            <ci>alphadebye</ci>
            <cn cellml:units="per_half_molar">1.17582</cn>
         </apply>
         <apply>
            <eq/>
            <ci>IcorrpKa</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="kilojoule_per_mole">1</cn>
                  <ci>alphadebye</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <divide/>
                        <apply>
                           <root/>
                           <ci>I1</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <times/>
                              <ci>B</ci>
                              <apply>
                                 <root/>
                                 <ci>I1</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <root/>
                           <ci>I</ci>
                        </apply>
                        <apply>
                           <plus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <times/>
                              <ci>B</ci>
                              <apply>
                                 <root/>
                                 <ci>I</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <ln/>
                  <cn cellml:units="dimensionless">10</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>TcorrpKa</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>T</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>T1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
                  <ci>R</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>RTalpha</ci>
            <cn cellml:units="kilojoule_half_liter_per_3_half_mole">2.91482</cn>
         </apply>
         <apply>
            <eq/>
            <ci>IcorrdeltaGpof</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>RTalpha</ci>
                  <apply>
                     <root/>
                     <ci>I</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>B</ci>
                     <apply>
                        <root/>
                        <ci>I</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKak_Pi</ci>
            <cn cellml:units="dimensionless">0.5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_Pi</ci>
            <cn cellml:units="kilojoule_per_mole">3</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmgo_Pi</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">2.9</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_Pi</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_Pi</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmg_Pi</ci>
            <apply>
               <plus/>
               <ci>deltaHmgo_Pi</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_Pi</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">6.75</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_Pi</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_Pi</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1.65</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHmg_Pi</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_Pi</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_Pi</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_Pi</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>k</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKak_Pi</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HPi2</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_Pi</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>H2Pi1</ci>
            <apply>
               <times/>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_Pi</ci>
                  </apply>
               </apply>
               <ci>HPi2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kPi</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>k</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKak_Pi</ci>
               </apply>
               <ci>HPi2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgPi</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>mg</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_Pi</ci>
               </apply>
               <ci>HPi2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_Pi</ci>
            <apply>
               <times/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>H2Pi1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPidH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_Pi</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_Pi</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_Pi</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_Pi</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPidmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_Pi</ci>
                        <ci>pKamg_Pi</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_Pi</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgPidmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_Pi</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_Pi</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_Pi</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_Pi</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgPidpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_Pi</ci>
                        <ci>pKamg_Pi</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_Pi</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_HPi2</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_HPi2</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1096.1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_HPi2</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_HPi2</ci>
                  <apply>
                     <times/>
                     <ci>NH_HPi2</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_HPi2</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_ATP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmgo_ATP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">18</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHko_ATP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_ATP</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_ATP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">3</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmg_ATP</ci>
            <apply>
               <plus/>
               <ci>deltaHmgo_ATP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHk_ATP</ci>
            <apply>
               <plus/>
               <ci>deltaHko_ATP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">3</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_ATP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">6.48</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">3</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_ATP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_ATP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">4.19</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHmg_ATP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKak_ATP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1.17</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">3</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHk_ATP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ATP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_ATP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_ATP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>k</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKak_ATP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ATP4</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_ATP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HATP3</ci>
            <apply>
               <times/>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_ATP</ci>
                  </apply>
               </apply>
               <ci>ATP4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgATP2</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>mg</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_ATP</ci>
               </apply>
               <ci>ATP4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kATP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>k</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKak_ATP</ci>
               </apply>
               <ci>ATP4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_ATP</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>ATP4</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>HATP3</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>mgATP2</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>kATP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgATPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_ATP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_ATP</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_ATP</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_ATP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgATPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_ATP</ci>
                        <ci>pKamg_ATP</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_ATP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgATP2dmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_ATP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_ATP</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_ATP</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_ATP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgATP2dpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_ATP</ci>
                        <ci>pKamg_ATP</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_ATP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_ATP4</ci>
            <cn cellml:units="dimensionless">12</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_ATP4</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">2768.1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_ATP4</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_ATP4</ci>
                  <apply>
                     <times/>
                     <ci>NH_ATP4</ci>
                     <ci>R</ci>
                     <ci>T</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">16</cn>
                     <ci>NH_ATP4</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKak_ADP</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_ADP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">3</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmgo_ADP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">15</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_ADP</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_ADP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">3</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmg_ADP</ci>
            <apply>
               <plus/>
               <ci>deltaHmgo_ADP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">3</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_ADP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">6.38</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">3</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">2</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_ADP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">3.25</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">3</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHmg_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_ADP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_ADP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_ADP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>k</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKak_ADP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ADP3</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_ADP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HADP2</ci>
            <apply>
               <times/>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_ADP</ci>
                  </apply>
               </apply>
               <ci>ADP3</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgADP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>ADP3</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kADP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>ADP3</ci>
                     <ci>k</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKak_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_ADP</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>ADP3</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>HADP2</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>mgADP</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>kADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgADPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_ADP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_ADP</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_ADP</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_ADP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgADPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_ADP</ci>
                        <ci>pKamg_ADP</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_ADP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgADPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_ADP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_ADP</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_ADP</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_ADP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgADPdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_ADP</ci>
                        <ci>pKamg_ADP</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_ADP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_ADP3</ci>
            <cn cellml:units="dimensionless">12</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_ADP3</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1906.13</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_ADP3</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_ADP3</ci>
                  <apply>
                     <times/>
                     <ci>NH_ADP3</ci>
                     <ci>R</ci>
                     <ci>T</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">9</cn>
                     <ci>NH_ADP3</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_AMP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">3</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmgo_AMP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">7.5</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_AMP</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_AMP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmg_AMP</ci>
            <apply>
               <plus/>
               <ci>deltaHmgo_AMP</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_AMP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">6.29</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_AMP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_AMP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1.92</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHmg_AMP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_AMP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <ci>pKa1_AMP</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_AMP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>AMP2</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_AMP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HAMP1</ci>
            <apply>
               <times/>
               <ci>AMP2</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <ci>pKa1_AMP</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgAMP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>mg</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_AMP</ci>
               </apply>
               <ci>AMP2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_AMP</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>AMP2</ci>
               </apply>
               <ci>HAMP1</ci>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>mgAMP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgAMPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_AMP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_AMP</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_AMP</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_AMP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgAMPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_AMP</ci>
                        <ci>pKamg_AMP</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_AMP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgAMPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_AMP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_AMP</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_AMP</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_AMP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgAMPdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_AMP</ci>
                        <ci>pKamg_AMP</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_AMP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_AMP2</ci>
            <cn cellml:units="dimensionless">12</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_AMP2</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1040.45</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_AMP2</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_AMP2</ci>
                  <apply>
                     <times/>
                     <ci>NH_AMP2</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_AMP2</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKak_PCR</ci>
            <cn cellml:units="dimensionless">0.31</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_PCR</ci>
            <cn cellml:units="kilojoule_per_mole">2.66</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHmgo_PCR</ci>
            <cn cellml:units="kilojoule_per_mole">8.19</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_PCR</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_PCR</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
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                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
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         <apply>
            <eq/>
            <ci>deltaHmg_PCR</ci>
            <apply>
               <plus/>
               <ci>deltaHmgo_PCR</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
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                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
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            <eq/>
            <ci>pKa1_PCR</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">4.5</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_PCR</ci>
               </apply>
            </apply>
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            <eq/>
            <ci>pKamg_PCR</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1.6</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHmg_PCR</ci>
               </apply>
            </apply>
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         <apply>
            <eq/>
            <ci>P_PCR</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_PCR</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_PCR</ci>
                  </apply>
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               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>k</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKak_PCR</ci>
                  </apply>
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            </apply>
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            <eq/>
            <ci>HPCR</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_PCR</ci>
            </apply>
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            <eq/>
            <ci>H2PCR</ci>
            <apply>
               <times/>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_PCR</ci>
                  </apply>
               </apply>
               <ci>HPCR</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kPCR</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>k</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKak_PCR</ci>
               </apply>
               <ci>HPCR</ci>
            </apply>
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            <eq/>
            <ci>mgPCR</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>mg</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_PCR</ci>
               </apply>
               <ci>HPCR</ci>
            </apply>
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         <apply>
            <eq/>
            <ci>Navg_PCR</ci>
            <ci>H2PCR</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPCRdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_PCR</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_PCR</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_PCR</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_PCR</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPCRdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_PCR</ci>
                        <ci>pKamg_PCR</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_PCR</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
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         <apply>
            <eq/>
            <ci>dmgPCRdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_PCR</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_PCR</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
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                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_PCR</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
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               <apply>
                  <power/>
                  <ci>P_PCR</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
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            <eq/>
            <ci>dmgPCRdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_PCR</ci>
                        <ci>pKamg_PCR</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_PCR</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
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            <eq/>
            <ci>NH_HPCR</ci>
            <cn cellml:units="dimensionless">8</cn>
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            <eq/>
            <ci>pKa1_CR</ci>
            <cn cellml:units="dimensionless">2.3</cn>
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            <eq/>
            <ci>P_CR</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_CR</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HCR</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_CR</ci>
            </apply>
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            <eq/>
            <ci>H2CR</ci>
            <apply>
               <times/>
               <ci>HCR</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_CR</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_CR</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">0</cn>
                  <ci>HCR</ci>
               </apply>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>H2CR</ci>
               </apply>
            </apply>
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            <eq/>
            <ci>dNavgCRdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_CR</ci>
                  </apply>
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                     <minus/>
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                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_CR</ci>
                        </apply>
                     </apply>
                  </apply>
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                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_CR</ci>
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                  </apply>
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            <eq/>
            <ci>dNavgCRdmg</ci>
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            <eq/>
            <ci>NH_HCR</ci>
            <cn cellml:units="dimensionless">9</cn>
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            <eq/>
            <ci>deltaH1o_G1P</ci>
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               <minus/>
               <cn cellml:units="kilojoule_per_mole">1.7</cn>
            </apply>
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            <eq/>
            <ci>deltaHmgo_G1P</ci>
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               <minus/>
               <cn cellml:units="kilojoule_per_mole">12</cn>
            </apply>
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            <eq/>
            <ci>deltaH1_G1P</ci>
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               <plus/>
               <ci>deltaH1o_G1P</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
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                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
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            <eq/>
            <ci>deltaHmg_G1P</ci>
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               <plus/>
               <ci>deltaHmgo_G1P</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
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                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
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            <eq/>
            <ci>pKa1_G1P</ci>
            <apply>
               <plus/>
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                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_G1P</ci>
               </apply>
            </apply>
         </apply>
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            <eq/>
            <ci>pKamg_G1P</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">2.48</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
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                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaHmg_G1P</ci>
               </apply>
            </apply>
         </apply>
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            <eq/>
            <ci>P_G1P</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_G1P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_G1P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
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            <eq/>
            <ci>UG1P</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_G1P</ci>
            </apply>
         </apply>
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            <eq/>
            <ci>HG1P</ci>
            <apply>
               <times/>
               <ci>UG1P</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_G1P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgG1P</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>UG1P</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_G1P</ci>
               </apply>
            </apply>
         </apply>
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            <eq/>
            <ci>Navg_G1P</ci>
            <ci>HG1P</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgG1PdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_G1P</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_G1P</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_G1P</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_G1P</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
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            <eq/>
            <ci>dNavgG1Pdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_G1P</ci>
                        <ci>pKamg_G1P</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_G1P</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
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            <eq/>
            <ci>dmgG1Pdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_G1P</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_G1P</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_G1P</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
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                  <power/>
                  <ci>P_G1P</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
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         <apply>
            <eq/>
            <ci>dmgG1PdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_G1P</ci>
                        <ci>pKamg_G1P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_G1P</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UG1P</ci>
            <cn cellml:units="dimensionless">11</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UG1P</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1756.87</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UG1P</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UG1P</ci>
                  <apply>
                     <times/>
                     <ci>NH_UG1P</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_UG1P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_G6P</ci>
            <cn cellml:units="dimensionless">6.11</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_G6P</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_G6P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UG6P</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_G6P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HG6P</ci>
            <apply>
               <times/>
               <ci>UG6P</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_G6P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_G6P</ci>
            <ci>HG6P</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgG6PdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_G6P</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_G6P</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_G6P</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_G6P</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgG6Pdmg</ci>
            <cn cellml:units="per_molar">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UG6P</ci>
            <cn cellml:units="dimensionless">11</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UG6P</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1763.94</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UG6P</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UG6P</ci>
                  <apply>
                     <times/>
                     <ci>NH_UG6P</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_UG6P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_F6P</ci>
            <cn cellml:units="dimensionless">5.89</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_F6P</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_F6P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UF6P</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_F6P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HF6P</ci>
            <apply>
               <times/>
               <ci>UF6P</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_F6P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_F6P</ci>
            <ci>HF6P</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgF6PdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_F6P</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_F6P</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_F6P</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_F6P</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgF6Pdmg</ci>
            <cn cellml:units="per_molar">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UF6P</ci>
            <cn cellml:units="dimensionless">11</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UF6P</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1760.8</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UF6P</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UF6P</ci>
                  <apply>
                     <times/>
                     <ci>NH_UF6P</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_UF6P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_FDP</ci>
            <cn cellml:units="dimensionless">6.4</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKa2_FDP</ci>
            <cn cellml:units="dimensionless">5.92</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_FDP</ci>
            <cn cellml:units="dimensionless">2.7</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_FDP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_FDP</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_FDP</ci>
                     <ci>pKa2_FDP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_FDP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UFDP</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_FDP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HFDP</ci>
            <apply>
               <times/>
               <ci>UFDP</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_FDP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>H2FDP</ci>
            <apply>
               <times/>
               <ci>UFDP</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_FDP</ci>
                     <ci>pKa2_FDP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgFDP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>UFDP</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_FDP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_FDP</ci>
            <apply>
               <plus/>
               <ci>HFDP</ci>
               <apply>
                  <times/>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>H2FDP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgFDPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>P_FDP</ci>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKa1_FDP</ci>
                        </apply>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">10</cn>
                              <apply>
                                 <plus/>
                                 <apply>
                                    <minus/>
                                    <ci>pH_cy</ci>
                                 </apply>
                                 <ci>pKa1_FDP</ci>
                                 <ci>pKa2_FDP</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <plus/>
                              <apply>
                                 <minus/>
                                 <ci>pH_cy</ci>
                              </apply>
                              <ci>pKa1_FDP</ci>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">10</cn>
                              <apply>
                                 <plus/>
                                 <apply>
                                    <times/>
                                    <apply>
                                       <minus/>
                                       <cn cellml:units="dimensionless">2</cn>
                                    </apply>
                                    <ci>pH_cy</ci>
                                 </apply>
                                 <ci>pKa1_FDP</ci>
                                 <ci>pKa2_FDP</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKa1_FDP</ci>
                        </apply>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">10</cn>
                              <apply>
                                 <plus/>
                                 <apply>
                                    <minus/>
                                    <ci>pH_cy</ci>
                                 </apply>
                                 <ci>pKa1_FDP</ci>
                                 <ci>pKa2_FDP</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_FDP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgFDPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <plus/>
                              <apply>
                                 <minus/>
                                 <ci>pH_cy</ci>
                              </apply>
                              <ci>pKa1_FDP</ci>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">10</cn>
                              <apply>
                                 <plus/>
                                 <apply>
                                    <times/>
                                    <apply>
                                       <minus/>
                                       <cn cellml:units="dimensionless">2</cn>
                                    </apply>
                                    <ci>pH_cy</ci>
                                 </apply>
                                 <ci>pKa1_FDP</ci>
                                 <ci>pKa2_FDP</ci>
                              </apply>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_FDP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_FDP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgFDPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_FDP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_FDP</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_FDP</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_FDP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgFDPdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_FDP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>P_FDP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <plus/>
                              <apply>
                                 <minus/>
                                 <ci>pH_cy</ci>
                              </apply>
                              <ci>pKa1_FDP</ci>
                           </apply>
                        </apply>
                        <apply>
                           <ln/>
                           <cn cellml:units="dimensionless">10</cn>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <plus/>
                              <apply>
                                 <times/>
                                 <apply>
                                    <minus/>
                                    <cn cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <ci>pH_cy</ci>
                              </apply>
                              <ci>pKa1_FDP</ci>
                              <ci>pKa2_FDP</ci>
                           </apply>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                        <apply>
                           <ln/>
                           <cn cellml:units="dimensionless">10</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_FDP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UFDP</ci>
            <cn cellml:units="dimensionless">10</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UFDP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">2601.4</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UFDP</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UFDP</ci>
                  <apply>
                     <times/>
                     <ci>NH_UFDP</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">16</cn>
                     <ci>NH_UFDP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_GAP</ci>
            <cn cellml:units="dimensionless">6.45</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_GAP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_GAP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UGAP</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_GAP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HGAP</ci>
            <apply>
               <times/>
               <ci>UGAP</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_GAP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_GAP</ci>
            <ci>HGAP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgGAPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_GAP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_GAP</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_GAP</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_GAP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgGAPdmg</ci>
            <cn cellml:units="per_molar">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UGAP</ci>
            <cn cellml:units="dimensionless">5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UGAP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1288.6</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UGAP</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UGAP</ci>
                  <apply>
                     <times/>
                     <ci>NH_UGAP</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_UGAP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_G3P</ci>
            <cn cellml:units="dimensionless">1.63</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_G3P</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">3.1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_G3P</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_G3P</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_G3P</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">6.22</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">2</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">1</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_G3P</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_G3P</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_G3P</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_G3P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UG3P</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_G3P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HG3P</ci>
            <apply>
               <times/>
               <ci>UG3P</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_G3P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgG3P</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>UG3P</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_G3P</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_G3P</ci>
            <ci>HG3P</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgG3PdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_G3P</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_G3P</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_G3P</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_G3P</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgG3Pdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_G3P</ci>
                        <ci>pKamg_G3P</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_G3P</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgG3Pdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_G3P</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_G3P</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_G3P</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_G3P</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgG3PdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_G3P</ci>
                        <ci>pKamg_G3P</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_G3P</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UG3P</ci>
            <cn cellml:units="dimensionless">7</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UG3P</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1339.25</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UG3P</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UG3P</ci>
                  <apply>
                     <times/>
                     <ci>NH_UG3P</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_UG3P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_DHAP</ci>
            <cn cellml:units="dimensionless">5.9</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_DHAP</ci>
            <cn cellml:units="dimensionless">1.57</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_DHAP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_DHAP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_DHAP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UDHAP</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_DHAP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HDHAP</ci>
            <apply>
               <times/>
               <ci>UDHAP</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_DHAP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgDHAP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>UDHAP</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_DHAP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_DHAP</ci>
            <ci>HDHAP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgDHAPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_DHAP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_DHAP</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_DHAP</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_DHAP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgDHAPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_DHAP</ci>
                        <ci>pKamg_DHAP</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_DHAP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgDHAPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_DHAP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_DHAP</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_DHAP</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_DHAP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgDHAPdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_DHAP</ci>
                        <ci>pKamg_DHAP</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_DHAP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UDHAP</ci>
            <cn cellml:units="dimensionless">5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UDHAP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1296.26</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UDHAP</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UDHAP</ci>
                  <apply>
                     <times/>
                     <ci>NH_UDHAP</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_UDHAP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_13DPG</ci>
            <cn cellml:units="dimensionless">7.5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_13DPG</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_13DPG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>U13DPG</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_13DPG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>H13DPG</ci>
            <apply>
               <times/>
               <ci>U13DPG</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_13DPG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_13DPG</ci>
            <ci>H13DPG</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavg13DPGdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_13DPG</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_13DPG</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_13DPG</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_13DPG</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavg13DPGdmg</ci>
            <cn cellml:units="per_molar">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>NH_U13DPG</ci>
            <cn cellml:units="dimensionless">4</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_U13DPG</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">2356.14</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_U13DPG</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_U13DPG</ci>
                  <apply>
                     <times/>
                     <ci>NH_U13DPG</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">16</cn>
                     <ci>NH_U13DPG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_3PG</ci>
            <cn cellml:units="dimensionless">6.21</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_3PG</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <cn cellml:units="dimensionless">6.21</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>U3PG</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_3PG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>H3PG</ci>
            <apply>
               <times/>
               <ci>U3PG</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <cn cellml:units="dimensionless">6.21</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_3PG</ci>
            <ci>H3PG</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavg3PGdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_3PG</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_3PG</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_3PG</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_3PG</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavg3PGdmg</ci>
            <cn cellml:units="per_molar">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>NH_U3PG</ci>
            <cn cellml:units="dimensionless">4</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_U3PG</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1502.54</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_U3PG</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_U3PG</ci>
                  <apply>
                     <times/>
                     <ci>NH_U3PG</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">9</cn>
                     <ci>NH_U3PG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_2PG</ci>
            <cn cellml:units="dimensionless">7</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_2PG</ci>
            <cn cellml:units="dimensionless">2.45</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKak_2PG</ci>
            <cn cellml:units="dimensionless">1.18</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_2PG</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_2PG</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_2PG</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>k</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKak_2PG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>U2PG</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_2PG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>H2PG</ci>
            <apply>
               <times/>
               <ci>U2PG</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_2PG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mg2PG</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>U2PG</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_2PG</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k2PG</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>U2PG</ci>
                     <ci>k</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKak_2PG</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_2PG</ci>
            <ci>H2PG</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavg2PGdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_2PG</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_2PG</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_2PG</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_2PG</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavg2PGdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_2PG</ci>
                        <ci>pKamg_2PG</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_2PG</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmg2PGdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_2PG</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_2PG</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_2PG</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_2PG</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmg2PGdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_2PG</ci>
                        <ci>pKamg_2PG</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_2PG</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_U2PG</ci>
            <cn cellml:units="dimensionless">4</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_U2PG</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1496.38</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_U2PG</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_U2PG</ci>
                  <apply>
                     <times/>
                     <ci>NH_U2PG</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">9</cn>
                     <ci>NH_U2PG</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_PEP</ci>
            <cn cellml:units="dimensionless">6.35</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_PEP</ci>
            <cn cellml:units="dimensionless">2.26</cn>
         </apply>
         <apply>
            <eq/>
            <ci>pKak_PEP</ci>
            <cn cellml:units="dimensionless">1.08</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_PEP</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <ci>pKa1_PEP</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_PEP</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>k</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKak_PEP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UPEP</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_PEP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HPEP</ci>
            <apply>
               <times/>
               <ci>UPEP</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <ci>pKa1_PEP</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kPEP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>UPEP</ci>
                     <ci>k</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKak_PEP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgPEP</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>UPEP</ci>
                     <ci>mg</ci>
                  </apply>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_PEP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_PEP</ci>
            <ci>HPEP</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPEPdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_PEP</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_PEP</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_PEP</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_PEP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPEPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_PEP</ci>
                        <ci>pKamg_PEP</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_PEP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgPEPdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_PEP</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_PEP</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_PEP</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_PEP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgPEPdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_PEP</ci>
                        <ci>pKamg_PEP</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_PEP</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UPEP</ci>
            <cn cellml:units="dimensionless">2</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UPEP</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">1263.65</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UPEP</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UPEP</ci>
                  <apply>
                     <times/>
                     <ci>NH_UPEP</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">9</cn>
                     <ci>NH_UPEP</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_PYR</ci>
            <cn cellml:units="dimensionless">2.49</cn>
         </apply>
         <apply>
            <eq/>
            <ci>P_PYR</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_PYR</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>UPYR</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_PYR</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HPYR</ci>
            <apply>
               <times/>
               <ci>UPYR</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_PYR</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_PYR</ci>
            <ci>HPYR</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPYRdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_PYR</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_PYR</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_PYR</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_PYR</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgPYRdmg</ci>
            <cn cellml:units="per_molar">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>NH_UPYR</ci>
            <cn cellml:units="dimensionless">3</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_UPYR</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">472.27</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_UPYR</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_UPYR</ci>
                  <apply>
                     <times/>
                     <ci>NH_UPYR</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>NH_UPYR</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKamg_LAC</ci>
            <cn cellml:units="dimensionless">0.98</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1o_LAC</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">0.33</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_LAC</ci>
            <apply>
               <plus/>
               <ci>deltaH1o_LAC</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pKa1_LAC</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">3.67</cn>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>IcorrpKa</ci>
                     <cn cellml:units="kilojoule_per_mole">1</cn>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">1</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>TcorrpKa</ci>
                  <ci>deltaH1_LAC</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_LAC</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_LAC</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKamg_LAC</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ULAC</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_LAC</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>HLAC</ci>
            <apply>
               <times/>
               <ci>ULAC</ci>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                     <ci>pKa1_LAC</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mgLAC</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <ci>mg</ci>
                  <ci>c0</ci>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <ci>pKamg_LAC</ci>
               </apply>
               <ci>ULAC</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Navg_LAC</ci>
            <ci>HLAC</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgLACdH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <ci>pKa1_LAC</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <ci>P_LAC</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <ci>pKa1_LAC</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>c0</ci>
                  <apply>
                     <power/>
                     <ci>P_LAC</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNavgLACdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <minus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <ci>pKa1_LAC</ci>
                        <ci>pKamg_LAC</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_LAC</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgLACdmg</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>P_LAC</ci>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <ci>pKamg_LAC</ci>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <ci>mg</ci>
                           <ci>c0</ci>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <times/>
                              <cn cellml:units="dimensionless">2</cn>
                              <ci>pKamg_LAC</ci>
                           </apply>
                        </apply>
                     </apply>
                     <ci>c0</ci>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_LAC</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dmgLACdpH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>mg</ci>
                     <ci>c0</ci>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <ci>pKa1_LAC</ci>
                        <ci>pKamg_LAC</ci>
                     </apply>
                  </apply>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
               </apply>
               <apply>
                  <power/>
                  <ci>P_LAC</ci>
                  <cn cellml:units="dimensionless">2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_ULAC</ci>
            <cn cellml:units="dimensionless">5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_ULAC</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">516.72</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_ULAC</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_ULAC</ci>
                  <apply>
                     <times/>
                     <ci>NH_ULAC</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>NH_ULAC</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>dNH_GLY</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">10</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_GLY</ci>
            <apply>
               <plus/>
               <cn cellml:units="kilojoule_per_mole">655.7</cn>
               <apply>
                  <times/>
                  <ci>dNH_GLY</ci>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
                  <ci>R</ci>
                  <ci>T</ci>
                  <ci>pH_cy</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_NAD</ci>
            <cn cellml:units="dimensionless">26</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_NAD</ci>
            <cn cellml:units="kilojoule_per_mole">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_NAD</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_NAD</ci>
                  <apply>
                     <times/>
                     <ci>NH_NAD</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>NH_NAD</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_NADH</ci>
            <cn cellml:units="dimensionless">27</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_NADH</ci>
            <cn cellml:units="kilojoule_per_mole">22.65</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_NADH</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_NADH</ci>
                  <apply>
                     <times/>
                     <ci>NH_NADH</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>NH_NADH</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_H2O</ci>
            <cn cellml:units="dimensionless">2</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_H2O</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">237.19</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_H2O</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGof_H2O</ci>
                  <apply>
                     <times/>
                     <ci>NH_H2O</ci>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>R</ci>
                     <ci>T</ci>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>IcorrdeltaGpof</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">0</cn>
                     <ci>NH_H2O</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>NH_H</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGof_H</ci>
            <cn cellml:units="kilojoule_per_mole">0</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpof_H</ci>
            <apply>
               <plus/>
               <ci>deltaGof_H</ci>
               <apply>
                  <times/>
                  <ci>NH_H</ci>
                  <apply>
                     <ln/>
                     <cn cellml:units="dimensionless">10</cn>
                  </apply>
                  <ci>R</ci>
                  <ci>T</ci>
                  <ci>pH_cy</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_CK</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>Navg_ATP</ci>
                        <ci>Navg_CR</ci>
                     </apply>
                     <ci>Navg_PCR</ci>
                  </apply>
                  <ci>Navg_ADP</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>NH_ATP4</ci>
                        <ci>NH_HCR</ci>
                     </apply>
                     <ci>NH_HPCR</ci>
                  </apply>
                  <ci>NH_ADP3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kref_CK</ci>
            <cn type="e-notation" cellml:units="dimensionless">2.58   <sep/>
            8</cn>
         </apply>
         <apply>
            <eq/>
            <ci>deltaHo_CKo</ci>
            <apply>
               <minus/>
               <cn cellml:units="kilojoule_per_mole">17.55</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH1_CK</ci>
            <apply>
               <plus/>
               <ci>deltaHo_CKo</ci>
               <apply>
                  <times/>
                  <ci>Icorr</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">2</cn>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">3</cn>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">1</cn>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">4</cn>
                           <cn cellml:units="dimensionless">2</cn>
                        </apply>
                     </apply>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">0</cn>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kref_CKI</ci>
            <apply>
               <exp/>
               <apply>
                  <plus/>
                  <apply>
                     <ln/>
                     <ci>Kref_CK</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>alphadebye</ci>
                        <apply>
                           <root/>
                           <ci>I</ci>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <plus/>
                                 <apply>
                                    <power/>
                                    <cn cellml:units="dimensionless">2</cn>
                                    <cn cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <apply>
                                    <power/>
                                    <cn cellml:units="dimensionless">3</cn>
                                    <cn cellml:units="dimensionless">2</cn>
                                 </apply>
                                 <apply>
                                    <power/>
                                    <cn cellml:units="dimensionless">1</cn>
                                    <cn cellml:units="dimensionless">2</cn>
                                 </apply>
                              </apply>
                              <apply>
                                 <power/>
                                 <cn cellml:units="dimensionless">4</cn>
                                 <cn cellml:units="dimensionless">2</cn>
                              </apply>
                           </apply>
                           <apply>
                              <power/>
                              <cn cellml:units="dimensionless">0</cn>
                              <cn cellml:units="dimensionless">2</cn>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>B</ci>
                           <apply>
                              <root/>
                              <ci>I</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kref_CKT</ci>
            <apply>
               <power/>
               <cn cellml:units="dimensionless">10</cn>
               <apply>
                  <minus/>
                  <apply>
                     <log/>
                     <ci>Kref_CKI</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>TcorrpKa</ci>
                     <ci>deltaH1_CK</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_CK</ci>
            <apply>
               <times/>
               <apply>
                  <minus/>
                  <ci>R</ci>
               </apply>
               <ci>T</ci>
               <apply>
                  <ln/>
                  <ci>Kref_CKT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_CK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_CK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
                  <ci>P_ATP</ci>
                  <ci>P_CR</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_PCR</ci>
                  <ci>P_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_ADK</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>Navg_ADP</ci>
                     </apply>
                     <ci>Navg_ATP</ci>
                  </apply>
                  <ci>Navg_AMP</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>NH_ADP3</ci>
                     </apply>
                     <ci>NH_ATP4</ci>
                  </apply>
                  <ci>NH_AMP2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_ADK</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>deltaGpof_ADP3</ci>
                  </apply>
                  <ci>deltaGpof_ATP4</ci>
               </apply>
               <ci>deltaGpof_AMP2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_ADK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_ADK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <ci>P_ADP</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>P_ATP</ci>
                  <ci>P_AMP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_GP</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_G1P</ci>
                  <ci>Navg_Pi</ci>
               </apply>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <ci>NH_HPi2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_GP</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGpo_GLY</ci>
                  <ci>deltaGpof_UG1P</ci>
               </apply>
               <ci>deltaGpof_HPi2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_GP</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_GP</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_G1P</ci>
               </apply>
               <ci>P_Pi</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_PGLM</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_G6P</ci>
                  <ci>Navg_G1P</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>NH_UG6P</ci>
                  <ci>NH_UG1P</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_PGLM</ci>
            <apply>
               <minus/>
               <ci>deltaGpof_UG6P</ci>
               <ci>deltaGpof_UG1P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_PGLM</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_PGLM</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_G6P</ci>
               </apply>
               <ci>P_G1P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_PGI</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_F6P</ci>
                  <ci>Navg_G6P</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>NH_UF6P</ci>
                  <ci>NH_UG6P</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_PGI</ci>
            <apply>
               <minus/>
               <ci>deltaGpof_UF6P</ci>
               <ci>deltaGpof_UG6P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_PGI</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_PGI</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_F6P</ci>
               </apply>
               <ci>P_G6P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_PFK</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>Navg_ADP</ci>
                              <ci>Navg_FDP</ci>
                           </apply>
                           <ci>Navg_F6P</ci>
                        </apply>
                        <ci>Navg_ATP</ci>
                     </apply>
                     <ci>NH_ADP3</ci>
                     <ci>NH_UFDP</ci>
                  </apply>
                  <ci>NH_UF6P</ci>
               </apply>
               <ci>NH_ATP4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_PFK</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>deltaGpof_UFDP</ci>
                     <ci>deltaGpof_ADP3</ci>
                     <ci>deltaGpof_H</ci>
                  </apply>
                  <ci>deltaGpof_UF6P</ci>
               </apply>
               <ci>deltaGpof_ATP4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_PFK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_PFK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_FDP</ci>
                  <ci>P_ADP</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_F6P</ci>
                  <ci>P_ATP</ci>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_ALD</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>Navg_DHAP</ci>
                     <ci>Navg_GAP</ci>
                  </apply>
                  <ci>Navg_FDP</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>NH_UDHAP</ci>
                     <ci>NH_UGAP</ci>
                  </apply>
                  <ci>NH_UFDP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_ALD</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGpof_UDHAP</ci>
                  <ci>deltaGpof_UGAP</ci>
               </apply>
               <ci>deltaGpof_UFDP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_ALD</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn cellml:units="molar">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_ALD</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_GAP</ci>
                  <ci>P_FDP</ci>
               </apply>
               <ci>P_DHAP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_TPI</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_DHAP</ci>
                  <ci>Navg_GAP</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>NH_UDHAP</ci>
                  <ci>NH_UGAP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_TPI</ci>
            <apply>
               <minus/>
               <ci>deltaGpof_UDHAP</ci>
               <ci>deltaGpof_UGAP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_TPI</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_TPI</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_DHAP</ci>
               </apply>
               <ci>P_GAP</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_GAPDH</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <ci>Navg_13DPG</ci>
                     <ci>Navg_GAP</ci>
                  </apply>
                  <ci>Navg_Pi</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <ci>NH_U13DPG</ci>
                           <ci>NH_NADH</ci>
                        </apply>
                        <ci>NH_UGAP</ci>
                     </apply>
                     <ci>NH_HPi2</ci>
                  </apply>
                  <ci>NH_NAD</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_GAPDH</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>deltaGpof_U13DPG</ci>
                        <ci>deltaGpof_NADH</ci>
                        <ci>deltaGpof_H</ci>
                     </apply>
                     <ci>deltaGpof_HPi2</ci>
                  </apply>
                  <ci>deltaGpof_UGAP</ci>
               </apply>
               <ci>deltaGpof_NAD</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_GAPDH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_GAPDH</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_13DPG</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_Pi</ci>
                  <ci>P_GAP</ci>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
                  <cn cellml:units="molar">1</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_G3PDH</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_DHAP</ci>
                  <ci>Navg_G3P</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>NH_UDHAP</ci>
                        <ci>NH_NADH</ci>
                     </apply>
                     <ci>NH_NAD</ci>
                  </apply>
                  <ci>NH_UG3P</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_G3PDH</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>deltaGpof_H</ci>
                     <ci>deltaGpof_NADH</ci>
                     <ci>deltaGpof_UDHAP</ci>
                  </apply>
                  <ci>deltaGpof_NAD</ci>
               </apply>
               <ci>deltaGpof_UG3P</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_G3PDH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_G3PDH</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_DHAP</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_G3P</ci>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_PGK</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>Navg_3PG</ci>
                        <ci>Navg_ATP</ci>
                     </apply>
                     <ci>Navg_13DPG</ci>
                  </apply>
                  <ci>Navg_ADP</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>NH_U3PG</ci>
                        <ci>NH_ATP4</ci>
                     </apply>
                     <ci>NH_U13DPG</ci>
                  </apply>
                  <ci>NH_ADP3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_PGK</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>deltaGpof_ATP4</ci>
                     <ci>deltaGpof_U3PG</ci>
                  </apply>
                  <ci>deltaGpof_U13DPG</ci>
               </apply>
               <ci>deltaGpof_ADP3</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_PGK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_PGK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_ATP</ci>
                  <ci>P_3PG</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_13DPG</ci>
                  <ci>P_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_PGM</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_2PG</ci>
                  <ci>Navg_3PG</ci>
               </apply>
               <apply>
                  <minus/>
                  <ci>NH_U2PG</ci>
                  <ci>NH_U3PG</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_PGM</ci>
            <apply>
               <minus/>
               <ci>deltaGpof_U2PG</ci>
               <ci>deltaGpof_U3PG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_PGM</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_PGM</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_2PG</ci>
               </apply>
               <ci>P_3PG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_ENOL</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_PEP</ci>
                  <ci>Navg_2PG</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>NH_H2O</ci>
                     <ci>NH_UPEP</ci>
                  </apply>
                  <ci>NH_U2PG</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_ENOL</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>deltaGpof_H2O</ci>
                  <ci>deltaGpof_UPEP</ci>
               </apply>
               <ci>deltaGpof_U2PG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_ENOL</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_ENOL</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_PEP</ci>
               </apply>
               <ci>P_2PG</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_PK</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>Navg_PYR</ci>
                        <ci>Navg_ATP</ci>
                     </apply>
                     <ci>Navg_PEP</ci>
                  </apply>
                  <ci>Navg_ADP</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>NH_UPYR</ci>
                        <ci>NH_ATP4</ci>
                     </apply>
                     <ci>NH_UPEP</ci>
                  </apply>
                  <ci>NH_ADP3</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_PK</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>deltaGpof_UPYR</ci>
                        <ci>deltaGpof_ATP4</ci>
                     </apply>
                     <ci>deltaGpof_H</ci>
                  </apply>
                  <ci>deltaGpof_UPEP</ci>
               </apply>
               <ci>deltaGpof_ADP3</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_PK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_PK</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_PYR</ci>
                  <ci>P_ATP</ci>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>P_PEP</ci>
                  <ci>P_ADP</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_LDH</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>Navg_LAC</ci>
                  <ci>Navg_PYR</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>NH_ULAC</ci>
                        <ci>NH_NAD</ci>
                     </apply>
                     <ci>NH_UPYR</ci>
                  </apply>
                  <ci>NH_NADH</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_LDH</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>deltaGpof_ULAC</ci>
                        <ci>deltaGpof_NAD</ci>
                     </apply>
                     <ci>deltaGpof_UPYR</ci>
                  </apply>
                  <ci>deltaGpof_NADH</ci>
               </apply>
               <ci>deltaGpof_H</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_LDH</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_LDH</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_LAC</ci>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>P_PYR</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaH_ATPase</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>Navg_ADP</ci>
                     <ci>Navg_Pi</ci>
                  </apply>
                  <ci>Navg_ATP</ci>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>NH_ADP3</ci>
                        <ci>NH_HPi2</ci>
                     </apply>
                     <ci>NH_ATP4</ci>
                  </apply>
                  <ci>NH_H2O</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>deltaGpo_ATPase</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>deltaGpof_ADP3</ci>
                     <ci>deltaGpof_HPi2</ci>
                     <ci>deltaGpof_H</ci>
                  </apply>
                  <ci>deltaGpof_H2O</ci>
               </apply>
               <ci>deltaGpof_ATP4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Kapp_ATPase</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <ci>deltaGpo_ATPase</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>R</ci>
                           <ci>T</ci>
                        </apply>
                     </apply>
                  </apply>
                  <ci>P_ADP</ci>
                  <ci>P_Pi</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>P_ATP</ci>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="glycogen_phosphorylase">
      <variable name="Vfgly" units="molar_per_minute" public_interface="out"/>
      <variable name="expno" units="dimensionless" public_interface="out"/>
      <variable name="fracA" units="dimensionless" public_interface="out"/>
      <variable name="KgpA_glyf" units="molar"/>
      <variable name="KgpA_pi" units="molar"/>
      <variable name="KgpA_igly" units="molar"/>
      <variable name="KgpA_ipi" units="molar"/>
      <variable name="KgpA_glyb" units="molar"/>
      <variable name="KgpA_g1p" units="molar"/>
      <variable name="KgpA_ig1p" units="molar"/>
      <variable name="Dglya" units="dimensionless"/>
      <variable name="pa" units="dimensionless"/>
      <variable name="VbglyA" units="molar_per_minute"/>
      <variable name="glyAF" units="per_minute"/>
      <variable name="glyAR" units="per_minute"/>
      <variable name="flux_GPa" units="molar_per_minute" public_interface="out"/>
      <variable name="time" units="minute" public_interface="in"/>
      <variable name="G1P" units="molar" public_interface="in"/>
      <variable name="Pi" units="molar" public_interface="in"/>
      <variable name="Gly" units="molar" public_interface="in"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_GP" units="dimensionless" public_interface="in"/>
      <variable name="Par_1" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_2" units="dimensionless" public_interface="in"/>
      <variable name="Par_3" units="molar" public_interface="in"/>
      <variable name="Par_4" units="molar" public_interface="in"/>
      <variable name="Par_5" units="molar" public_interface="in"/>
      <variable name="Par_6" units="molar" public_interface="in"/>
      <variable name="Par_7" units="molar" public_interface="in"/>
      <variable name="Par_8" units="molar" public_interface="in"/>
      <variable name="Par_9" units="molar" public_interface="in"/>
      <variable name="Par_100" units="dimensionless" public_interface="in"/>
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            <eq/>
            <ci>Vfgly</ci>
            <ci>Par_1</ci>
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         <apply>
            <eq/>
            <ci>expno</ci>
            <ci>Par_100</ci>
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         <apply>
            <eq/>
            <ci>fracA</ci>
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               <piece>
                  <ci>Par_2</ci>
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                     <neq/>
                     <ci>expno</ci>
                     <cn cellml:units="dimensionless">45</cn>
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               <piece>
                  <cn cellml:units="dimensionless">0.001</cn>
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                     <lt/>
                     <ci>time</ci>
                     <cn cellml:units="minute">40</cn>
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               <piece>
                  <cn cellml:units="dimensionless">0.004</cn>
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                     <and/>
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                        <geq/>
                        <ci>time</ci>
                        <cn cellml:units="minute">40</cn>
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                        <lt/>
                        <ci>time</ci>
                        <cn cellml:units="minute">80</cn>
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               </piece>
               <piece>
                  <cn cellml:units="dimensionless">0.01</cn>
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                     <and/>
                     <apply>
                        <geq/>
                        <ci>time</ci>
                        <cn cellml:units="minute">80</cn>
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                     <apply>
                        <lt/>
                        <ci>time</ci>
                        <cn cellml:units="minute">100</cn>
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                  </apply>
               </piece>
               <piece>
                  <cn cellml:units="dimensionless">0.04</cn>
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                     <geq/>
                     <ci>time</ci>
                     <cn cellml:units="minute">100</cn>
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               </piece>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>KgpA_glyf</ci>
            <ci>Par_3</ci>
         </apply>
         <apply>
            <eq/>
            <ci>KgpA_pi</ci>
            <ci>Par_4</ci>
         </apply>
         <apply>
            <eq/>
            <ci>KgpA_igly</ci>
            <ci>Par_5</ci>
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         <apply>
            <eq/>
            <ci>KgpA_ipi</ci>
            <ci>Par_6</ci>
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         <apply>
            <eq/>
            <ci>KgpA_glyb</ci>
            <ci>Par_7</ci>
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         <apply>
            <eq/>
            <ci>KgpA_g1p</ci>
            <ci>Par_8</ci>
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         <apply>
            <eq/>
            <ci>KgpA_ig1p</ci>
            <ci>Par_9</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Dglya</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Gly</ci>
                  <ci>KgpA_glyf</ci>
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               <apply>
                  <divide/>
                  <ci>Pi</ci>
                  <ci>KgpA_pi</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>Gly</ci>
                     <ci>Pi</ci>
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                  <apply>
                     <times/>
                     <ci>KgpA_glyf</ci>
                     <ci>KgpA_ipi</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <ci>Gly</ci>
                  <ci>KgpA_glyb</ci>
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               <apply>
                  <divide/>
                  <ci>G1P</ci>
                  <ci>KgpA_g1p</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>Gly</ci>
                     <ci>G1P</ci>
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                  <apply>
                     <times/>
                     <ci>KgpA_ig1p</ci>
                     <ci>KgpA_glyb</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pa</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1.404</cn>
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                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
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                        <minus/>
                        <cn cellml:units="dimensionless">5.94</cn>
                        <ci>pH_cy</ci>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                        <cn cellml:units="dimensionless">7.29</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>VbglyA</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>pa</ci>
                  <ci>Vfgly</ci>
                  <ci>KgpA_glyb</ci>
                  <ci>KgpA_ig1p</ci>
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               <apply>
                  <times/>
                  <ci>KgpA_igly</ci>
                  <ci>KgpA_pi</ci>
                  <ci>Kapp_GP</ci>
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            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>glyAF</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>pa</ci>
                     <ci>Vfgly</ci>
                     <ci>Pi</ci>
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                     <times/>
                     <ci>KgpA_igly</ci>
                     <ci>KgpA_pi</ci>
                  </apply>
               </apply>
               <ci>Dglya</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>glyAR</ci>
            <apply>
               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>VbglyA</ci>
                     <ci>Gly</ci>
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                     <times/>
                     <ci>KgpA_glyb</ci>
                     <ci>KgpA_ig1p</ci>
                  </apply>
               </apply>
               <ci>Dglya</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>flux_GPa</ci>
            <apply>
               <times/>
               <ci>fracA</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>Gly</ci>
                     <ci>glyAF</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>G1P</ci>
                     <ci>glyAR</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
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      <variable name="KgpB_pi" units="molar"/>
      <variable name="KgpB_ipi" units="molar"/>
      <variable name="KgpB_iglyf" units="molar"/>
      <variable name="KgpB_g1p" units="molar"/>
      <variable name="KgpB_ig1p" units="molar"/>
      <variable name="KgpB_iglyb" units="molar"/>
      <variable name="Kgp_amp" units="molar"/>
      <variable name="interactioncoeff" units="dimensionless"/>
      <variable name="nH" units="dimensionless"/>
      <variable name="M" units="dimensionless"/>
      <variable name="Dglyb" units="dimensionless"/>
      <variable name="pb" units="dimensionless"/>
      <variable name="VbglyB" units="molar_per_minute"/>
      <variable name="glyBF" units="per_minute"/>
      <variable name="glyBR" units="per_minute"/>
      <variable name="flux_GPb" units="molar_per_minute" public_interface="out"/>
      <variable name="fracA" units="dimensionless" public_interface="in"/>
      <variable name="Vfgly" units="molar_per_minute" public_interface="in"/>
      <variable name="AMP" units="molar" public_interface="in"/>
      <variable name="G1P" units="molar" public_interface="in"/>
      <variable name="Gly" units="molar" public_interface="in"/>
      <variable name="Pi" units="molar" public_interface="in"/>
      <variable name="Kapp_GP" units="dimensionless" public_interface="in"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Par_10" units="molar" public_interface="in"/>
      <variable name="Par_11" units="molar" public_interface="in"/>
      <variable name="Par_12" units="molar" public_interface="in"/>
      <variable name="Par_13" units="molar" public_interface="in"/>
      <variable name="Par_14" units="molar" public_interface="in"/>
      <variable name="Par_15" units="molar" public_interface="in"/>
      <variable name="Par_16" units="molar" public_interface="in"/>
      <variable name="Par_17" units="dimensionless" public_interface="in"/>
      <variable name="Par_18" units="dimensionless" public_interface="in"/>
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         <apply>
            <eq/>
            <ci>fracB</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>fracA</ci>
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         <apply>
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            <ci>KgpB_pi</ci>
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            <eq/>
            <ci>KgpB_ipi</ci>
            <ci>Par_11</ci>
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         <apply>
            <eq/>
            <ci>KgpB_iglyf</ci>
            <ci>Par_12</ci>
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            <eq/>
            <ci>KgpB_g1p</ci>
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         <apply>
            <eq/>
            <ci>KgpB_ig1p</ci>
            <ci>Par_14</ci>
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            <eq/>
            <ci>KgpB_iglyb</ci>
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         <apply>
            <eq/>
            <ci>Kgp_amp</ci>
            <ci>Par_16</ci>
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         <apply>
            <eq/>
            <ci>interactioncoeff</ci>
            <ci>Par_17</ci>
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         <apply>
            <eq/>
            <ci>nH</ci>
            <ci>Par_18</ci>
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         <apply>
            <eq/>
            <ci>M</ci>
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               <divide/>
               <apply>
                  <divide/>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>AMP</ci>
                        <ci>Kgp_amp</ci>
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                     <ci>nH</ci>
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                  <ci>interactioncoeff</ci>
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                     <divide/>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>AMP</ci>
                           <ci>Kgp_amp</ci>
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                        <ci>nH</ci>
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                     <ci>interactioncoeff</ci>
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               </apply>
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         </apply>
         <apply>
            <eq/>
            <ci>Dglyb</ci>
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               <plus/>
               <cn cellml:units="dimensionless">1</cn>
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                  <divide/>
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                  <ci>KgpB_iglyf</ci>
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                  <divide/>
                  <ci>Pi</ci>
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                  <divide/>
                  <ci>Gly</ci>
                  <ci>KgpB_iglyb</ci>
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                  <divide/>
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                  <divide/>
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                     <ci>Gly</ci>
                     <ci>Pi</ci>
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                     <times/>
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                     <times/>
                     <ci>Gly</ci>
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                     <times/>
                     <ci>KgpB_g1p</ci>
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            <ci>pb</ci>
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                        <ci>pH_cy</ci>
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                        <minus/>
                        <ci>pH_cy</ci>
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         <apply>
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            <ci>VbglyB</ci>
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               <divide/>
               <apply>
                  <times/>
                  <ci>pb</ci>
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                  <ci>KgpB_iglyb</ci>
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                  <times/>
                  <ci>KgpB_iglyf</ci>
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                     <times/>
                     <ci>pb</ci>
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                     <times/>
                     <ci>KgpB_iglyf</ci>
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            <ci>glyBR</ci>
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               <divide/>
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                  <divide/>
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                     <times/>
                     <ci>M</ci>
                     <ci>VbglyB</ci>
                     <ci>Gly</ci>
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                     <times/>
                     <ci>KgpB_g1p</ci>
                     <ci>KgpB_iglyb</ci>
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               <ci>Dglyb</ci>
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         </apply>
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            <ci>flux_GPb</ci>
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               <times/>
               <ci>fracB</ci>
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                  <minus/>
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                     <times/>
                     <ci>Gly</ci>
                     <ci>glyBF</ci>
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                  <apply>
                     <times/>
                     <ci>G1P</ci>
                     <ci>glyBR</ci>
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               </apply>
            </apply>
         </apply>
      </math>
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      <variable name="Kpglm_g1p" units="molar"/>
      <variable name="Kpglm_g6p" units="molar"/>
      <variable name="Vfpglm" units="molar_per_minute"/>
      <variable name="Vbpglm" units="molar_per_minute"/>
      <variable name="v_PGLM" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_PGLM" units="dimensionless" public_interface="in"/>
      <variable name="G1P" units="molar" public_interface="in"/>
      <variable name="G6P" units="molar" public_interface="in"/>
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      <variable name="Par_20" units="molar" public_interface="in"/>
      <variable name="Par_21" units="molar" public_interface="in"/>
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            <eq/>
            <ci>Vffpglm</ci>
            <ci>Par_19</ci>
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            <eq/>
            <ci>Kpglm_g1p</ci>
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         <apply>
            <eq/>
            <ci>Kpglm_g6p</ci>
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            <ci>Vfpglm</ci>
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               <divide/>
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                  <times/>
                  <ci>Vffpglm</ci>
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                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
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                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
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                        <minus/>
                        <ci>pH_cy</ci>
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            <ci>Vbpglm</ci>
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               <divide/>
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                  <times/>
                  <ci>Vfpglm</ci>
                  <ci>Kpglm_g6p</ci>
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                  <times/>
                  <ci>Kpglm_g1p</ci>
                  <ci>Kapp_PGLM</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>v_PGLM</ci>
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               <divide/>
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                  <minus/>
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                     <divide/>
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                        <times/>
                        <ci>Vfpglm</ci>
                        <ci>G1P</ci>
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                     <ci>Kpglm_g1p</ci>
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                  <apply>
                     <divide/>
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                        <times/>
                        <ci>Vbpglm</ci>
                        <ci>G6P</ci>
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                     <divide/>
                     <ci>G1P</ci>
                     <ci>Kpglm_g1p</ci>
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                     <divide/>
                     <ci>G6P</ci>
                     <ci>Kpglm_g6p</ci>
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      <variable name="Kpgi_g6p" units="molar"/>
      <variable name="Kpgi_f6p" units="molar"/>
      <variable name="Vbpgi" units="molar_per_minute"/>
      <variable name="Vfpgi" units="molar_per_minute"/>
      <variable name="v_PGI" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_PGI" units="dimensionless" public_interface="in"/>
      <variable name="F6P" units="molar" public_interface="in"/>
      <variable name="G6P" units="molar" public_interface="in"/>
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      <variable name="Par_23" units="molar" public_interface="in"/>
      <variable name="Par_24" units="molar" public_interface="in"/>
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            <ci>Vbbpgi</ci>
            <ci>Par_22</ci>
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            <ci>Vbpgi</ci>
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                           <minus/>
                           <ci>pH_cy</ci>
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                        <minus/>
                        <ci>pH_cy</ci>
                        <cn cellml:units="dimensionless">9.35</cn>
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            <ci>Vfpgi</ci>
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               <times/>
               <apply>
                  <divide/>
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                     <times/>
                     <ci>Vbpgi</ci>
                     <ci>Kpgi_g6p</ci>
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                  <ci>Kpgi_f6p</ci>
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         <apply>
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            <ci>v_PGI</ci>
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               <divide/>
               <apply>
                  <minus/>
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                     <divide/>
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                        <times/>
                        <ci>Vfpgi</ci>
                        <ci>G6P</ci>
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                     <ci>Kpgi_g6p</ci>
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                     <divide/>
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                        <times/>
                        <ci>Vbpgi</ci>
                        <ci>F6P</ci>
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                     <ci>Kpgi_f6p</ci>
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               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
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                     <divide/>
                     <ci>F6P</ci>
                     <ci>Kpgi_f6p</ci>
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                  <apply>
                     <divide/>
                     <ci>G6P</ci>
                     <ci>Kpgi_g6p</ci>
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               </apply>
            </apply>
         </apply>
      </math>
   </component>
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      <variable name="Vffpfk" units="molar_per_minute"/>
      <variable name="Kpfk_f6p" units="molar"/>
      <variable name="Kpfk_f6pT" units="molar"/>
      <variable name="Kpfk_atp" units="molar"/>
      <variable name="Kpfk_atpT" units="molar"/>
      <variable name="Kpfk_fbp" units="molar"/>
      <variable name="Kpfk_fbpT" units="molar"/>
      <variable name="Kpfk_adp" units="molar"/>
      <variable name="Kpfk_adpT" units="molar"/>
      <variable name="Kpfki" units="molar"/>
      <variable name="Kmpfk" units="molar"/>
      <variable name="d" units="dimensionless"/>
      <variable name="e_" units="dimensionless"/>
      <variable name="Lo" units="dimensionless"/>
      <variable name="Vfpfk" units="molar_per_minute"/>
      <variable name="Vbpfk" units="molar_per_minute"/>
      <variable name="L" units="dimensionless"/>
      <variable name="alpha" units="dimensionless"/>
      <variable name="Delta" units="dimensionless"/>
      <variable name="Deltap" units="dimensionless"/>
      <variable name="v_PFK" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_PFK" units="dimensionless" public_interface="in"/>
      <variable name="F6P" units="molar" public_interface="in"/>
      <variable name="FBP" units="molar" public_interface="in"/>
      <variable name="AMP" units="molar" public_interface="in"/>
      <variable name="ADP" units="molar" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="Par_25" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_26" units="molar" public_interface="in"/>
      <variable name="Par_27" units="molar" public_interface="in"/>
      <variable name="Par_28" units="molar" public_interface="in"/>
      <variable name="Par_29" units="molar" public_interface="in"/>
      <variable name="Par_30" units="molar" public_interface="in"/>
      <variable name="Par_31" units="molar" public_interface="in"/>
      <variable name="Par_32" units="molar" public_interface="in"/>
      <variable name="Par_33" units="molar" public_interface="in"/>
      <variable name="Par_34" units="molar" public_interface="in"/>
      <variable name="Par_35" units="molar" public_interface="in"/>
      <variable name="Par_36" units="dimensionless" public_interface="in"/>
      <variable name="Par_37" units="dimensionless" public_interface="in"/>
      <variable name="Par_38" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffpfk</ci>
            <ci>Par_25</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_f6p</ci>
            <ci>Par_26</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_f6pT</ci>
            <ci>Par_27</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_atp</ci>
            <ci>Par_28</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_atpT</ci>
            <ci>Par_29</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_fbp</ci>
            <ci>Par_30</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_fbpT</ci>
            <ci>Par_31</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_adp</ci>
            <ci>Par_32</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfk_adpT</ci>
            <ci>Par_33</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpfki</ci>
            <ci>Par_34</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kmpfk</ci>
            <ci>Par_35</ci>
         </apply>
         <apply>
            <eq/>
            <ci>d</ci>
            <ci>Par_36</ci>
         </apply>
         <apply>
            <eq/>
            <ci>e_</ci>
            <ci>Par_37</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Lo</ci>
            <ci>Par_38</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfpfk</ci>
            <apply>
               <divide/>
               <ci>Vffpfk</ci>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <apply>
                        <divide/>
                        <ci>pH_cy</ci>
                        <cn cellml:units="dimensionless">6.8</cn>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">30</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbpfk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfpfk</ci>
                  <ci>Kpfk_fbp</ci>
                  <ci>Kpfk_adp</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kpfk_f6p</ci>
                  <ci>Kpfk_atp</ci>
                  <ci>Kapp_PFK</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>L</ci>
            <apply>
               <times/>
               <ci>Lo</ci>
               <apply>
                  <power/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <apply>
                           <divide/>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <ci>ATP</ci>
                                 <ci>Kpfki</ci>
                              </apply>
                           </apply>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <ci>d</ci>
                                    <ci>ATP</ci>
                                 </apply>
                                 <ci>Kpfki</ci>
                              </apply>
                           </apply>
                        </apply>
                        <apply>
                           <plus/>
                           <cn cellml:units="dimensionless">1</cn>
                           <apply>
                              <divide/>
                              <apply>
                                 <times/>
                                 <ci>e_</ci>
                                 <ci>AMP</ci>
                              </apply>
                              <ci>Kmpfk</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>AMP</ci>
                           <ci>Kmpfk</ci>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">4</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Kpfk_f6p</ci>
                  <ci>Kpfk_atp</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kpfk_f6pT</ci>
                  <ci>Kpfk_atpT</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Delta</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>F6P</ci>
                        <ci>Kpfk_f6p</ci>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>ATP</ci>
                        <ci>Kpfk_atp</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <ci>FBP</ci>
                  <ci>Kpfk_fbp</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>ADP</ci>
                     <ci>Kpfk_adp</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>FBP</ci>
                        <ci>Kpfk_fbp</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Deltap</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>F6P</ci>
                        <ci>Kpfk_f6pT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>ATP</ci>
                        <ci>Kpfk_atpT</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <ci>FBP</ci>
                  <ci>Kpfk_fbpT</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>ADP</ci>
                     <ci>Kpfk_adpT</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <divide/>
                        <ci>FBP</ci>
                        <ci>Kpfk_fbpT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_PFK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>Vfpfk</ci>
                              <ci>F6P</ci>
                              <ci>ATP</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>Kpfk_f6p</ci>
                              <ci>Kpfk_atp</ci>
                           </apply>
                        </apply>
                        <ci>Delta</ci>
                     </apply>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>Vbpfk</ci>
                              <ci>ADP</ci>
                              <ci>FBP</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>Kpfk_adp</ci>
                              <ci>Kpfk_fbp</ci>
                           </apply>
                        </apply>
                        <ci>Delta</ci>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <times/>
                        <ci>alpha</ci>
                        <ci>L</ci>
                        <apply>
                           <power/>
                           <apply>
                              <divide/>
                              <ci>Deltap</ci>
                              <ci>Delta</ci>
                           </apply>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>L</ci>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>Deltap</ci>
                           <ci>Delta</ci>
                        </apply>
                        <cn cellml:units="dimensionless">4</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="ALD">
      <variable name="Vffald" units="molar_per_minute"/>
      <variable name="Kald_fbp" units="molar"/>
      <variable name="Kald_dhap" units="molar"/>
      <variable name="Kald_gap" units="molar"/>
      <variable name="Vfald" units="molar_per_minute"/>
      <variable name="Vbald" units="molar_per_minute"/>
      <variable name="v_ALD" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_ALD" units="molar" public_interface="in"/>
      <variable name="DHAP" units="molar" public_interface="in"/>
      <variable name="FBP" units="molar" public_interface="in"/>
      <variable name="GAP" units="molar" public_interface="in"/>
      <variable name="Par_39" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_40" units="molar" public_interface="in"/>
      <variable name="Par_41" units="molar" public_interface="in"/>
      <variable name="Par_42" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffald</ci>
            <ci>Par_39</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kald_fbp</ci>
            <ci>Par_40</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kald_dhap</ci>
            <ci>Par_41</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kald_gap</ci>
            <ci>Par_42</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfald</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vffald</ci>
                  <cn cellml:units="dimensionless">1.013</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <cn cellml:units="dimensionless">5.32</cn>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                        <cn cellml:units="dimensionless">9.15</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbald</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfald</ci>
                  <ci>Kald_gap</ci>
                  <ci>Kald_dhap</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kald_fbp</ci>
                  <ci>Kapp_ALD</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_ALD</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfald</ci>
                        <ci>FBP</ci>
                     </apply>
                     <ci>Kald_fbp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbald</ci>
                        <ci>GAP</ci>
                        <ci>DHAP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kald_gap</ci>
                        <ci>Kald_dhap</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>FBP</ci>
                     <ci>Kald_fbp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>GAP</ci>
                     <ci>Kald_gap</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>DHAP</ci>
                     <ci>Kald_dhap</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="TPI">
      <variable name="Vfftpi" units="molar_per_minute"/>
      <variable name="Ktpi_gap" units="molar"/>
      <variable name="Ktpi_dhap" units="molar"/>
      <variable name="Vftpi" units="molar_per_minute"/>
      <variable name="Vbtpi" units="molar_per_minute"/>
      <variable name="v_TPI" units="molar_per_minute" public_interface="out"/>
      <variable name="Kapp_TPI" units="dimensionless" public_interface="in"/>
      <variable name="DHAP" units="molar" public_interface="in"/>
      <variable name="GAP" units="molar" public_interface="in"/>
      <variable name="Par_43" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_44" units="molar" public_interface="in"/>
      <variable name="Par_45" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vfftpi</ci>
            <ci>Par_43</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Ktpi_gap</ci>
            <ci>Par_44</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Ktpi_dhap</ci>
            <ci>Par_45</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vftpi</ci>
            <ci>Vfftpi</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vbtpi</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vftpi</ci>
                  <ci>Ktpi_dhap</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Ktpi_gap</ci>
                  <ci>Kapp_TPI</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_TPI</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vftpi</ci>
                        <ci>GAP</ci>
                     </apply>
                     <ci>Ktpi_gap</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbtpi</ci>
                        <ci>DHAP</ci>
                     </apply>
                     <ci>Ktpi_dhap</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>GAP</ci>
                     <ci>Ktpi_gap</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>DHAP</ci>
                     <ci>Ktpi_dhap</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="G3PDH">
      <variable name="Vbbg3pdh" units="molar_per_minute"/>
      <variable name="Kg3pdh_g3p" units="molar"/>
      <variable name="Kg3pdh_nad" units="molar"/>
      <variable name="Kg3pdh_dhap" units="molar"/>
      <variable name="Kg3pdh_nadh" units="molar"/>
      <variable name="Dg3pdh" units="dimensionless"/>
      <variable name="Vbg3pdh" units="molar_per_minute"/>
      <variable name="Vfg3pdh" units="molar_per_minute"/>
      <variable name="v_G3PDH" units="molar_per_minute" public_interface="out"/>
      <variable name="Kapp_G3PDH" units="dimensionless" public_interface="in"/>
      <variable name="DHAP" units="molar" public_interface="in"/>
      <variable name="G3P" units="molar" public_interface="in"/>
      <variable name="NAD" units="molar" public_interface="in"/>
      <variable name="NADH" units="molar" public_interface="in"/>
      <variable name="Par_46" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_47" units="molar" public_interface="in"/>
      <variable name="Par_48" units="molar" public_interface="in"/>
      <variable name="Par_49" units="molar" public_interface="in"/>
      <variable name="Par_50" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vbbg3pdh</ci>
            <ci>Par_46</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kg3pdh_g3p</ci>
            <ci>Par_47</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kg3pdh_nad</ci>
            <ci>Par_48</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kg3pdh_dhap</ci>
            <ci>Par_49</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kg3pdh_nadh</ci>
            <ci>Par_50</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Dg3pdh</ci>
            <apply>
               <times/>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>G3P</ci>
                     <ci>Kg3pdh_g3p</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>NADH</ci>
                     <ci>Kg3pdh_nadh</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>DHAP</ci>
                     <ci>Kg3pdh_dhap</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>NAD</ci>
                     <ci>Kg3pdh_nadh</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbg3pdh</ci>
            <ci>Vbbg3pdh</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfg3pdh</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vbg3pdh</ci>
                  <ci>Kg3pdh_g3p</ci>
                  <ci>Kg3pdh_nad</ci>
                  <ci>Kapp_G3PDH</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kg3pdh_dhap</ci>
                  <ci>Kg3pdh_nadh</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_G3PDH</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfg3pdh</ci>
                        <ci>G3P</ci>
                        <ci>NAD</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kg3pdh_g3p</ci>
                        <ci>Kg3pdh_nad</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbg3pdh</ci>
                        <ci>DHAP</ci>
                        <ci>NADH</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kg3pdh_dhap</ci>
                        <ci>Kg3pdh_nadh</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>Dg3pdh</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="GAPDH">
      <variable name="Vffgad" units="molar_per_minute"/>
      <variable name="Kgapdh_gap" units="molar"/>
      <variable name="Kgapdh_nad" units="molar"/>
      <variable name="Kgapdh_pi" units="molar"/>
      <variable name="Kgapdh_bpg" units="molar"/>
      <variable name="Kgapdh_nadh" units="molar"/>
      <variable name="Dgap" units="dimensionless"/>
      <variable name="Vfgad" units="molar_per_minute"/>
      <variable name="Vbgad" units="molar_per_minute"/>
      <variable name="v_GAPDH" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_GAPDH" units="per_molar" public_interface="in"/>
      <variable name="BPG" units="molar" public_interface="in"/>
      <variable name="GAP" units="molar" public_interface="in"/>
      <variable name="NAD" units="molar" public_interface="in"/>
      <variable name="NADH" units="molar" public_interface="in"/>
      <variable name="Pi" units="molar" public_interface="in"/>
      <variable name="Par_51" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_52" units="molar" public_interface="in"/>
      <variable name="Par_53" units="molar" public_interface="in"/>
      <variable name="Par_54" units="molar" public_interface="in"/>
      <variable name="Par_55" units="molar" public_interface="in"/>
      <variable name="Par_56" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffgad</ci>
            <ci>Par_51</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kgapdh_gap</ci>
            <ci>Par_52</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kgapdh_nad</ci>
            <ci>Par_53</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kgapdh_pi</ci>
            <ci>Par_54</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kgapdh_bpg</ci>
            <ci>Par_55</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kgapdh_nadh</ci>
            <ci>Par_56</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Dgap</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>Pi</ci>
                  <ci>Kgapdh_pi</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>GAP</ci>
                  <ci>Kgapdh_gap</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>NAD</ci>
                  <ci>Kgapdh_nad</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>GAP</ci>
                     <ci>NAD</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Kgapdh_gap</ci>
                     <ci>Kgapdh_nad</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>GAP</ci>
                     <ci>NAD</ci>
                     <ci>Pi</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Kgapdh_gap</ci>
                     <ci>Kgapdh_nad</ci>
                     <ci>Kgapdh_pi</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <ci>BPG</ci>
                  <ci>Kgapdh_bpg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>NADH</ci>
                  <ci>Kgapdh_nadh</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>BPG</ci>
                     <ci>NADH</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Kgapdh_nadh</ci>
                     <ci>Kgapdh_bpg</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vfgad</ci>
            <apply>
               <times/>
               <ci>Vffgad</ci>
               <cn cellml:units="dimensionless">0.0007</cn>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <ci>pH_cy</ci>
                     <cn cellml:units="dimensionless">0.8979</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbgad</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfgad</ci>
                  <ci>Kgapdh_bpg</ci>
                  <ci>Kgapdh_nadh</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kgapdh_gap</ci>
                  <ci>Kgapdh_pi</ci>
                  <ci>Kgapdh_nad</ci>
                  <ci>Kapp_GAPDH</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_GAPDH</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfgad</ci>
                        <ci>GAP</ci>
                        <ci>NAD</ci>
                        <ci>Pi</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kgapdh_nad</ci>
                        <ci>Kgapdh_gap</ci>
                        <ci>Kgapdh_pi</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbgad</ci>
                        <ci>BPG</ci>
                        <ci>NADH</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kgapdh_bpg</ci>
                        <ci>Kgapdh_nadh</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>Dgap</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="PGK">
      <variable name="Vbbpgk" units="molar_per_minute"/>
      <variable name="Kpgk_bpg" units="molar"/>
      <variable name="Kpgk_adp" units="molar"/>
      <variable name="Kpgk_3pg" units="molar"/>
      <variable name="Kpgk_atp" units="molar"/>
      <variable name="Vbpgk" units="molar_per_minute"/>
      <variable name="Vfpgk" units="molar_per_minute"/>
      <variable name="D_PGK" units="dimensionless"/>
      <variable name="v_PGK" units="molar_per_minute" public_interface="out"/>
      <variable name="Kapp_PGK" units="dimensionless" public_interface="in"/>
      <variable name="BPG" units="molar" public_interface="in"/>
      <variable name="P3G" units="molar" public_interface="in"/>
      <variable name="ADP" units="molar" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="Par_57" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_58" units="molar" public_interface="in"/>
      <variable name="Par_59" units="molar" public_interface="in"/>
      <variable name="Par_60" units="molar" public_interface="in"/>
      <variable name="Par_61" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vbbpgk</ci>
            <ci>Par_57</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpgk_bpg</ci>
            <ci>Par_58</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpgk_adp</ci>
            <ci>Par_59</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpgk_3pg</ci>
            <ci>Par_60</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpgk_atp</ci>
            <ci>Par_61</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vbpgk</ci>
            <ci>Vbbpgk</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfpgk</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>Vbpgk</ci>
                     <ci>Kpgk_bpg</ci>
                     <ci>Kpgk_adp</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Kpgk_3pg</ci>
                     <ci>Kpgk_atp</ci>
                  </apply>
               </apply>
               <ci>Kapp_PGK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>D_PGK</ci>
            <apply>
               <plus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <divide/>
                  <ci>ADP</ci>
                  <ci>Kpgk_adp</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>BPG</ci>
                  <ci>Kpgk_bpg</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>BPG</ci>
                     <ci>ADP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Kpgk_bpg</ci>
                     <ci>Kpgk_adp</ci>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <ci>P3G</ci>
                  <ci>Kpgk_3pg</ci>
               </apply>
               <apply>
                  <divide/>
                  <ci>ATP</ci>
                  <ci>Kpgk_atp</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>P3G</ci>
                     <ci>ATP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Kpgk_3pg</ci>
                     <ci>Kpgk_atp</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_PGK</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfpgk</ci>
                        <ci>BPG</ci>
                        <ci>ADP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kpgk_adp</ci>
                        <ci>Kpgk_bpg</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbpgk</ci>
                        <ci>ATP</ci>
                        <ci>P3G</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kpgk_atp</ci>
                        <ci>Kpgk_3pg</ci>
                     </apply>
                  </apply>
               </apply>
               <ci>D_PGK</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="PGM">
      <variable name="Vffpgm" units="molar_per_minute"/>
      <variable name="Kpgm_3pg" units="molar"/>
      <variable name="Kpgm_2pg" units="molar"/>
      <variable name="Vfpgm" units="molar_per_minute"/>
      <variable name="Vbpgm" units="molar_per_minute"/>
      <variable name="v_PGM" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_PGM" units="dimensionless" public_interface="in"/>
      <variable name="P2G" units="molar" public_interface="in"/>
      <variable name="P3G" units="molar" public_interface="in"/>
      <variable name="Par_62" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_63" units="molar" public_interface="in"/>
      <variable name="Par_64" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffpgm</ci>
            <ci>Par_62</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpgm_3pg</ci>
            <ci>Par_63</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpgm_2pg</ci>
            <ci>Par_64</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfpgm</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vffpgm</ci>
                  <cn cellml:units="dimensionless">0.989</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <cn cellml:units="dimensionless">5.62</cn>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                        <cn cellml:units="dimensionless">8.74</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbpgm</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfpgm</ci>
                  <ci>Kpgm_2pg</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kpgm_3pg</ci>
                  <ci>Kapp_PGM</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_PGM</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfpgm</ci>
                        <ci>P3G</ci>
                     </apply>
                     <ci>Kpgm_3pg</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbpgm</ci>
                        <ci>P2G</ci>
                     </apply>
                     <ci>Kpgm_2pg</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>P3G</ci>
                     <ci>Kpgm_3pg</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>P2G</ci>
                     <ci>Kpgm_2pg</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="ENOL">
      <variable name="Vffen" units="molar_per_minute"/>
      <variable name="Ken_2pg" units="molar"/>
      <variable name="Ken_pep" units="molar"/>
      <variable name="Vfen" units="molar_per_minute"/>
      <variable name="Vben" units="molar_per_minute"/>
      <variable name="v_ENOL" units="molar_per_minute" public_interface="out"/>
      <variable name="Kapp_ENOL" units="dimensionless" public_interface="in"/>
      <variable name="P2G" units="molar" public_interface="in"/>
      <variable name="PEP" units="molar" public_interface="in"/>
      <variable name="Par_65" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_66" units="molar" public_interface="in"/>
      <variable name="Par_67" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffen</ci>
            <ci>Par_65</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Ken_2pg</ci>
            <ci>Par_66</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Ken_pep</ci>
            <ci>Par_67</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfen</ci>
            <ci>Vffen</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vben</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfen</ci>
                  <ci>Ken_pep</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Ken_2pg</ci>
                  <ci>Kapp_ENOL</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_ENOL</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfen</ci>
                        <ci>P2G</ci>
                     </apply>
                     <ci>Ken_2pg</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vben</ci>
                        <ci>PEP</ci>
                     </apply>
                     <ci>Ken_pep</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>PEP</ci>
                     <ci>Ken_pep</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>P2G</ci>
                     <ci>Ken_2pg</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="PK">
      <variable name="Vffpk" units="molar_per_minute"/>
      <variable name="Kpk_pep" units="molar"/>
      <variable name="Kpk_adp" units="molar"/>
      <variable name="Kpk_pyr" units="molar"/>
      <variable name="Kpk_atp" units="molar"/>
      <variable name="Vfpk" units="molar_per_minute"/>
      <variable name="Vbpk" units="molar_per_minute"/>
      <variable name="v_PK" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_PK" units="dimensionless" public_interface="in"/>
      <variable name="PEP" units="molar" public_interface="in"/>
      <variable name="PYR" units="molar" public_interface="in"/>
      <variable name="ADP" units="molar" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="Par_68" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_69" units="molar" public_interface="in"/>
      <variable name="Par_70" units="molar" public_interface="in"/>
      <variable name="Par_71" units="molar" public_interface="in"/>
      <variable name="Par_72" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffpk</ci>
            <ci>Par_68</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpk_pep</ci>
            <ci>Par_69</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpk_adp</ci>
            <ci>Par_70</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpk_pyr</ci>
            <ci>Par_71</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kpk_atp</ci>
            <ci>Par_72</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfpk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vffpk</ci>
                  <cn cellml:units="dimensionless">1.05</cn>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <minus/>
                           <ci>pH_cy</ci>
                        </apply>
                        <cn cellml:units="dimensionless">5.58</cn>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <cn cellml:units="dimensionless">10</cn>
                     <apply>
                        <minus/>
                        <ci>pH_cy</ci>
                        <cn cellml:units="dimensionless">8.79</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbpk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfpk</ci>
                  <ci>Kpk_pyr</ci>
                  <ci>Kpk_atp</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kpk_pep</ci>
                  <ci>Kpk_adp</ci>
                  <ci>Kapp_PK</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_PK</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfpk</ci>
                        <ci>PEP</ci>
                        <ci>ADP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kpk_pep</ci>
                        <ci>Kpk_adp</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbpk</ci>
                        <ci>PYR</ci>
                        <ci>ATP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kpk_pyr</ci>
                        <ci>Kpk_atp</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>PEP</ci>
                     <ci>Kpk_pep</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>ADP</ci>
                     <ci>Kpk_adp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>PEP</ci>
                        <ci>ADP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kpk_pep</ci>
                        <ci>Kpk_adp</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>ATP</ci>
                     <ci>Kpk_atp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>PYR</ci>
                     <ci>Kpk_pyr</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>PYR</ci>
                        <ci>ATP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kpk_pyr</ci>
                        <ci>Kpk_atp</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="LDH">
      <variable name="Vffldh" units="molar_per_minute"/>
      <variable name="Kldh_pyr" units="molar"/>
      <variable name="Kldh_nadh" units="molar"/>
      <variable name="Kldh_lac" units="molar"/>
      <variable name="Kldh_nad" units="molar"/>
      <variable name="Vfldh" units="molar_per_minute"/>
      <variable name="Vbldh" units="molar_per_minute"/>
      <variable name="v_LDH" units="molar_per_minute" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="Kapp_LDH" units="dimensionless" public_interface="in"/>
      <variable name="LAC" units="molar" public_interface="in"/>
      <variable name="NAD" units="molar" public_interface="in"/>
      <variable name="NADH" units="molar" public_interface="in"/>
      <variable name="PYR" units="molar" public_interface="in"/>
      <variable name="Par_73" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_74" units="molar" public_interface="in"/>
      <variable name="Par_75" units="molar" public_interface="in"/>
      <variable name="Par_76" units="molar" public_interface="in"/>
      <variable name="Par_77" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vffldh</ci>
            <ci>Par_73</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kldh_pyr</ci>
            <ci>Par_74</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kldh_nadh</ci>
            <ci>Par_75</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kldh_lac</ci>
            <ci>Par_76</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kldh_nad</ci>
            <ci>Par_77</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vfldh</ci>
            <apply>
               <times/>
               <ci>Vffldh</ci>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">0.1134</cn>
                     </apply>
                     <ci>pH_cy</ci>
                  </apply>
                  <cn cellml:units="dimensionless">1.6069</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Vbldh</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfldh</ci>
                  <ci>Kldh_lac</ci>
                  <ci>Kldh_nad</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kldh_pyr</ci>
                  <ci>Kldh_nadh</ci>
                  <ci>Kapp_LDH</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_LDH</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfldh</ci>
                        <ci>PYR</ci>
                        <ci>NADH</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kldh_pyr</ci>
                        <ci>Kldh_nadh</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vbldh</ci>
                        <ci>LAC</ci>
                        <ci>NAD</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kldh_lac</ci>
                        <ci>Kldh_nad</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>PYR</ci>
                     <ci>Kldh_pyr</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>NADH</ci>
                     <ci>Kldh_nadh</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>PYR</ci>
                        <ci>NADH</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kldh_pyr</ci>
                        <ci>Kldh_nadh</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>LAC</ci>
                     <ci>Kldh_lac</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>NAD</ci>
                     <ci>Kldh_nad</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>LAC</ci>
                        <ci>NAD</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kldh_lac</ci>
                        <ci>Kldh_nad</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="ATPase">
      <variable name="VmaxATPase" units="molar_per_minute"/>
      <variable name="Katp_ATPase" units="molar"/>
      <variable name="ATPase" units="molar_per_minute" public_interface="out"/>
      <variable name="time" units="minute" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="expno" units="dimensionless" public_interface="in"/>
      <variable name="Par_88" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_89" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>VmaxATPase</ci>
            <piecewise>
               <piece>
                  <ci>Par_88</ci>
                  <apply>
                     <and/>
                     <apply>
                        <neq/>
                        <ci>expno</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <neq/>
                        <ci>expno</ci>
                        <cn cellml:units="dimensionless">45</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <ci>Par_88</ci>
                  <apply>
                     <and/>
                     <apply>
                        <neq/>
                        <ci>expno</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <eq/>
                        <ci>expno</ci>
                        <cn cellml:units="dimensionless">45</cn>
                     </apply>
                     <apply>
                        <geq/>
                        <ci>time</ci>
                        <cn cellml:units="minute">110</cn>
                     </apply>
                  </apply>
               </piece>
               <piece>
                  <ci>Par_88</ci>
                  <apply>
                     <and/>
                     <apply>
                        <eq/>
                        <ci>expno</ci>
                        <cn cellml:units="dimensionless">5</cn>
                     </apply>
                     <apply>
                        <gt/>
                        <ci>time</ci>
                        <cn cellml:units="minute">30</cn>
                     </apply>
                  </apply>
               </piece>
               <otherwise>
                  <cn cellml:units="molar_per_minute">0</cn>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>Katp_ATPase</ci>
            <ci>Par_89</ci>
         </apply>
         <apply>
            <eq/>
            <ci>ATPase</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>VmaxATPase</ci>
                  <ci>ATP</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Katp_ATPase</ci>
                  <ci>ATP</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="creatine_kinase">
      <variable name="VforCK" units="molar_per_minute"/>
      <variable name="Kck_pcr" units="molar"/>
      <variable name="Kck_iatp" units="molar"/>
      <variable name="Kck_iadp" units="molar"/>
      <variable name="Kck_ipcr" units="molar"/>
      <variable name="Kck_cr" units="molar"/>
      <variable name="VrevCK" units="molar_per_minute"/>
      <variable name="CK" units="molar_per_minute" public_interface="out"/>
      <variable name="Kapp_CK" units="dimensionless" public_interface="in"/>
      <variable name="ADP" units="molar" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="Cr" units="molar" public_interface="in"/>
      <variable name="PCr" units="molar" public_interface="in"/>
      <variable name="Par_78" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_79" units="molar" public_interface="in"/>
      <variable name="Par_80" units="molar" public_interface="in"/>
      <variable name="Par_81" units="molar" public_interface="in"/>
      <variable name="Par_82" units="molar" public_interface="in"/>
      <variable name="Par_83" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>VforCK</ci>
            <ci>Par_78</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kck_pcr</ci>
            <ci>Par_79</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kck_iatp</ci>
            <ci>Par_80</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kck_iadp</ci>
            <ci>Par_81</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kck_ipcr</ci>
            <ci>Par_82</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kck_cr</ci>
            <ci>Par_83</ci>
         </apply>
         <apply>
            <eq/>
            <ci>VrevCK</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <ci>VforCK</ci>
                     <ci>Kapp_CK</ci>
                  </apply>
                  <ci>Kck_iatp</ci>
                  <ci>Kck_cr</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>Kck_iadp</ci>
                  <ci>Kck_pcr</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CK</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>VrevCK</ci>
                        <ci>ATP</ci>
                        <ci>Cr</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kck_iatp</ci>
                        <ci>Kck_cr</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>VforCK</ci>
                        <ci>ADP</ci>
                        <ci>PCr</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kck_iadp</ci>
                        <ci>Kck_pcr</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>ADP</ci>
                     <ci>Kck_iadp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>PCr</ci>
                     <ci>Kck_ipcr</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>PCr</ci>
                        <ci>ADP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kck_iadp</ci>
                        <ci>Kck_pcr</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>ATP</ci>
                     <ci>Kck_iatp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Cr</ci>
                        <ci>ATP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kck_cr</ci>
                        <ci>Kck_iatp</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="adenylate_kinase">
      <variable name="Vfadk" units="molar_per_minute"/>
      <variable name="Kadk_amp" units="molar"/>
      <variable name="Kadk_atp" units="molar"/>
      <variable name="Kadk_adp" units="molar"/>
      <variable name="Vbadk" units="molar_per_minute"/>
      <variable name="ADK" units="molar_per_minute" public_interface="out"/>
      <variable name="Kapp_ADK" units="dimensionless" public_interface="in"/>
      <variable name="AMP" units="molar" public_interface="in"/>
      <variable name="ADP" units="molar" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="Par_84" units="molar_per_minute" public_interface="in"/>
      <variable name="Par_85" units="molar" public_interface="in"/>
      <variable name="Par_86" units="molar" public_interface="in"/>
      <variable name="Par_87" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>Vfadk</ci>
            <ci>Par_84</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kadk_amp</ci>
            <ci>Par_85</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kadk_atp</ci>
            <ci>Par_86</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Kadk_adp</ci>
            <ci>Par_87</ci>
         </apply>
         <apply>
            <eq/>
            <ci>Vbadk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>Vfadk</ci>
                  <apply>
                     <power/>
                     <ci>Kadk_adp</ci>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>Kadk_amp</ci>
                  <ci>Kadk_atp</ci>
                  <ci>Kapp_ADK</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>ADK</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>Vfadk</ci>
                        <ci>ATP</ci>
                        <ci>AMP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kadk_atp</ci>
                        <ci>Kadk_amp</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>Vbadk</ci>
                     <apply>
                        <power/>
                        <apply>
                           <divide/>
                           <ci>ADP</ci>
                           <ci>Kadk_adp</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>ATP</ci>
                     <ci>Kadk_atp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>AMP</ci>
                     <ci>Kadk_amp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>ATP</ci>
                        <ci>AMP</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>Kadk_atp</ci>
                        <ci>Kadk_amp</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>ADP</ci>
                     </apply>
                     <ci>Kadk_adp</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <power/>
                        <ci>ADP</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                     <apply>
                        <power/>
                        <ci>Kadk_adp</ci>
                        <cn cellml:units="dimensionless">2</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="buffer_capacity">
      <variable name="carnosine" units="molar"/>
      <variable name="tris" units="molar"/>
      <variable name="acetate" units="molar"/>
      <variable name="bufcapfixed" units="molar"/>
      <variable name="bufcapmetab" units="molar"/>
      <variable name="protons_consumed" units="molar_per_minute" public_interface="out"/>
      <variable name="CKprtflux" units="molar_per_minute"/>
      <variable name="glycprtflux" units="molar_per_minute"/>
      <variable name="pHODEterm1" units="per_minute" public_interface="out"/>
      <variable name="pHODEterm2" units="per_molar" public_interface="out"/>
      <variable name="denom_mgODE" units="dimensionless" public_interface="out"/>
      <variable name="RHSterm1_mgODE" units="molar" public_interface="out"/>
      <variable name="denomMgpHODE" units="dimensionless" public_interface="out"/>
      <variable name="pH_cy" units="dimensionless" public_interface="in"/>
      <variable name="PCr" units="molar" public_interface="in"/>
      <variable name="Cr" units="molar" public_interface="in"/>
      <variable name="NAD" units="molar" public_interface="in"/>
      <variable name="NADH" units="molar" public_interface="in"/>
      <variable name="ATP" units="molar" public_interface="in"/>
      <variable name="ADP" units="molar" public_interface="in"/>
      <variable name="AMP" units="molar" public_interface="in"/>
      <variable name="Pi" units="molar" public_interface="in"/>
      <variable name="Gly" units="molar" public_interface="in"/>
      <variable name="G1P" units="molar" public_interface="in"/>
      <variable name="G6P" units="molar" public_interface="in"/>
      <variable name="F6P" units="molar" public_interface="in"/>
      <variable name="FBP" units="molar" public_interface="in"/>
      <variable name="DHAP" units="molar" public_interface="in"/>
      <variable name="G3P" units="molar" public_interface="in"/>
      <variable name="GAP" units="molar" public_interface="in"/>
      <variable name="BPG" units="molar" public_interface="in"/>
      <variable name="P3G" units="molar" public_interface="in"/>
      <variable name="P2G" units="molar" public_interface="in"/>
      <variable name="PEP" units="molar" public_interface="in"/>
      <variable name="PYR" units="molar" public_interface="in"/>
      <variable name="LAC" units="molar" public_interface="in"/>
      <variable name="ADK" units="molar_per_minute" public_interface="in"/>
      <variable name="CK" units="molar_per_minute" public_interface="in"/>
      <variable name="dNavg13DPGdH" units="per_molar" public_interface="in"/>
      <variable name="dNavg3PGdH" units="per_molar" public_interface="in"/>
      <variable name="dNavg2PGdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgADPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgAMPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgATPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgCRdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgDHAPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgF6PdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgFDPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgG1PdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgG3PdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgG6PdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgGAPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgLACdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgPCRdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgPEPdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgPYRdH" units="per_molar" public_interface="in"/>
      <variable name="dNavgPidH" units="per_molar" public_interface="in"/>
      <variable name="deltaH_ADK" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_ALD" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_CK" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_ENOL" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_G3PDH" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_GAPDH" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_GP" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_LDH" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_PFK" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_PGI" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_PGK" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_PGLM" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_PGM" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_PK" units="dimensionless" public_interface="in"/>
      <variable name="deltaH_TPI" units="dimensionless" public_interface="in"/>
      <variable name="dNavg13DPGdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavg2PGdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavg3PGdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgADPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgAMPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgATPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgCRdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgDHAPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgF6Pdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgFDPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgG1Pdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgG3Pdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgG6Pdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgGAPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgLACdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgPCRdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgPEPdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgPYRdmg" units="per_molar" public_interface="in"/>
      <variable name="dNavgPidmg" units="per_molar" public_interface="in"/>
      <variable name="dmg2PGdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgATP2dmg" units="per_molar" public_interface="in"/>
      <variable name="dmgADPdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgAMPdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgDHAPdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgFDPdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgG1Pdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgG3Pdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgLACdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgPCRdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgPEPdmg" units="per_molar" public_interface="in"/>
      <variable name="dmgPidmg" units="per_molar" public_interface="in"/>
      <variable name="dmg2PGdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgADPdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgAMPdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgATP2dpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgDHAPdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgFDPdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgG1PdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgG3PdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgLACdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgPCRdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgPEPdpH" units="dimensionless" public_interface="in"/>
      <variable name="dmgPidpH" units="dimensionless" public_interface="in"/>
      <variable name="flux_GPa" units="molar_per_minute" public_interface="in"/>
      <variable name="flux_GPb" units="molar_per_minute" public_interface="in"/>
      <variable name="v_ALD" units="molar_per_minute" public_interface="in"/>
      <variable name="v_ENOL" units="molar_per_minute" public_interface="in"/>
      <variable name="v_G3PDH" units="molar_per_minute" public_interface="in"/>
      <variable name="v_GAPDH" units="molar_per_minute" public_interface="in"/>
      <variable name="v_LDH" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PFK" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGI" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGK" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGLM" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGM" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PK" units="molar_per_minute" public_interface="in"/>
      <variable name="v_TPI" units="molar_per_minute" public_interface="in"/>
      <variable name="c0" units="molar" public_interface="in"/>
      <variable name="Par_91" units="molar" public_interface="in"/>
      <variable name="Par_92" units="molar" public_interface="in"/>
      <variable name="Par_93" units="molar" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>carnosine</ci>
            <ci>Par_92</ci>
         </apply>
         <apply>
            <eq/>
            <ci>tris</ci>
            <ci>Par_91</ci>
         </apply>
         <apply>
            <eq/>
            <ci>acetate</ci>
            <ci>Par_93</ci>
         </apply>
         <apply>
            <eq/>
            <ci>bufcapfixed</ci>
            <apply>
               <plus/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>carnosine</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <cn cellml:units="dimensionless">6.87</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">6.87</cn>
                           </apply>
                        </apply>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>tris</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <cn cellml:units="dimensionless">8.3</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">8.3</cn>
                           </apply>
                        </apply>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <apply>
                        <ln/>
                        <cn cellml:units="dimensionless">10</cn>
                     </apply>
                     <ci>acetate</ci>
                     <apply>
                        <power/>
                        <cn cellml:units="dimensionless">10</cn>
                        <apply>
                           <minus/>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                           <cn cellml:units="dimensionless">4.8</cn>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <ci>pH_cy</ci>
                           </apply>
                        </apply>
                        <apply>
                           <power/>
                           <cn cellml:units="dimensionless">10</cn>
                           <apply>
                              <minus/>
                              <cn cellml:units="dimensionless">4.8</cn>
                           </apply>
                        </apply>
                     </apply>
                     <cn cellml:units="dimensionless">2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>bufcapmetab</ci>
            <apply>
               <times/>
               <apply>
                  <ln/>
                  <cn cellml:units="dimensionless">10</cn>
               </apply>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <ci>pH_cy</ci>
                  </apply>
               </apply>
               <ci>c0</ci>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>dNavgPidH</ci>
                     <ci>Pi</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgATPdH</ci>
                     <ci>ATP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgADPdH</ci>
                     <ci>ADP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgAMPdH</ci>
                     <ci>AMP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgPCRdH</ci>
                     <ci>PCr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgCRdH</ci>
                     <ci>Cr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgG1PdH</ci>
                     <ci>G1P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgG6PdH</ci>
                     <ci>G6P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgF6PdH</ci>
                     <ci>F6P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgFDPdH</ci>
                     <ci>FBP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgGAPdH</ci>
                     <ci>GAP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgDHAPdH</ci>
                     <ci>DHAP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgG3PdH</ci>
                     <ci>G3P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavg13DPGdH</ci>
                     <ci>BPG</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavg3PGdH</ci>
                     <ci>P3G</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavg2PGdH</ci>
                     <ci>P2G</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgPEPdH</ci>
                     <ci>PEP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgPYRdH</ci>
                     <ci>PYR</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgLACdH</ci>
                     <ci>LAC</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>protons_consumed</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>deltaH_CK</ci>
                  <apply>
                     <minus/>
                     <ci>CK</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_ADK</ci>
                  <ci>ADK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGLM</ci>
                  <ci>v_PGLM</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_GP</ci>
                  <apply>
                     <plus/>
                     <ci>flux_GPa</ci>
                     <ci>flux_GPb</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGI</ci>
                  <ci>v_PGI</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PFK</ci>
                  <ci>v_PFK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_ALD</ci>
                  <ci>v_ALD</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_TPI</ci>
                  <ci>v_TPI</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_GAPDH</ci>
                  <ci>v_GAPDH</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGK</ci>
                  <ci>v_PGK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGM</ci>
                  <ci>v_PGM</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_ENOL</ci>
                  <ci>v_ENOL</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PK</ci>
                  <ci>v_PK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_LDH</ci>
                  <ci>v_LDH</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_G3PDH</ci>
                  <ci>v_G3PDH</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>CKprtflux</ci>
            <apply>
               <times/>
               <ci>deltaH_CK</ci>
               <apply>
                  <minus/>
                  <ci>CK</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>glycprtflux</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>deltaH_PGLM</ci>
                  <ci>v_PGLM</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_GP</ci>
                  <apply>
                     <plus/>
                     <ci>flux_GPa</ci>
                     <ci>flux_GPb</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGI</ci>
                  <ci>v_PGI</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PFK</ci>
                  <ci>v_PFK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_ALD</ci>
                  <ci>v_ALD</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_TPI</ci>
                  <ci>v_TPI</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_GAPDH</ci>
                  <ci>v_GAPDH</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGK</ci>
                  <ci>v_PGK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PGM</ci>
                  <ci>v_PGM</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_ENOL</ci>
                  <ci>v_ENOL</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_PK</ci>
                  <ci>v_PK</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_LDH</ci>
                  <ci>v_LDH</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>deltaH_G3PDH</ci>
                  <ci>v_G3PDH</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pHODEterm1</ci>
            <apply>
               <divide/>
               <ci>protons_consumed</ci>
               <apply>
                  <plus/>
                  <ci>bufcapfixed</ci>
                  <ci>bufcapmetab</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>pHODEterm2</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>dNavgPidmg</ci>
                     <ci>Pi</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgATPdmg</ci>
                     <ci>ATP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgADPdmg</ci>
                     <ci>ADP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgAMPdmg</ci>
                     <ci>AMP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgPCRdmg</ci>
                     <ci>PCr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgCRdmg</ci>
                     <ci>Cr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgG1Pdmg</ci>
                     <ci>G1P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgG6Pdmg</ci>
                     <ci>G6P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgF6Pdmg</ci>
                     <ci>F6P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgFDPdmg</ci>
                     <ci>FBP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgGAPdmg</ci>
                     <ci>GAP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgDHAPdmg</ci>
                     <ci>DHAP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgG3Pdmg</ci>
                     <ci>G3P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavg13DPGdmg</ci>
                     <ci>BPG</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavg3PGdmg</ci>
                     <ci>P3G</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavg2PGdmg</ci>
                     <ci>P2G</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgPEPdmg</ci>
                     <ci>PEP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgPYRdmg</ci>
                     <ci>PYR</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dNavgLACdmg</ci>
                     <ci>LAC</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <ci>bufcapfixed</ci>
                  <ci>bufcapmetab</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denom_mgODE</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>dmgATP2dmg</ci>
                     <ci>ATP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgADPdmg</ci>
                     <ci>ADP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgAMPdmg</ci>
                     <ci>AMP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgPidmg</ci>
                     <ci>Pi</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgPCRdmg</ci>
                     <ci>PCr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgG1Pdmg</ci>
                     <ci>G1P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgFDPdmg</ci>
                     <ci>FBP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgG3Pdmg</ci>
                     <ci>G3P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgDHAPdmg</ci>
                     <ci>DHAP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgPEPdmg</ci>
                     <ci>PEP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmg2PGdmg</ci>
                     <ci>P2G</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgLACdmg</ci>
                     <ci>LAC</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>RHSterm1_mgODE</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>dmgATP2dpH</ci>
                     <ci>ATP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgADPdpH</ci>
                     <ci>ADP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgAMPdpH</ci>
                     <ci>AMP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgPidpH</ci>
                     <ci>Pi</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgPCRdpH</ci>
                     <ci>PCr</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgG1PdpH</ci>
                     <ci>G1P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgFDPdpH</ci>
                     <ci>FBP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgG3PdpH</ci>
                     <ci>G3P</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgDHAPdpH</ci>
                     <ci>DHAP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgPEPdpH</ci>
                     <ci>PEP</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmg2PGdpH</ci>
                     <ci>P2G</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>dmgLACdpH</ci>
                     <ci>LAC</ci>
                  </apply>
               </apply>
               <ci>denom_mgODE</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>denomMgpHODE</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <times/>
                  <ci>RHSterm1_mgODE</ci>
                  <ci>pHODEterm2</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="differential_equations">
      <variable name="PCr" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Cr" units="molar" initial_value="0.029999999" public_interface="out"/>
      <variable name="NAD" units="molar" initial_value="0.0005" public_interface="out"/>
      <variable name="NADH" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="ATP" units="molar" initial_value="0.005" public_interface="out"/>
      <variable name="ADP" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="AMP" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="Pi" units="molar" initial_value="0.03" public_interface="out"/>
      <variable name="Gly" units="molar" initial_value="0.04" public_interface="out"/>
      <variable name="G1P" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="G6P" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="F6P" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="FBP" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="DHAP" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="G3P" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="GAP" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="BPG" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="P3G" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="P2G" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="PEP" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="PYR" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="LAC" units="molar" initial_value="1e-9" public_interface="out"/>
      <variable name="RHSterm2_mgODE" units="molar_per_minute"/>
      <variable name="fixmg" units="dimensionless"/>
      <variable name="Mg" units="molar" initial_value="5.132658807e-4" public_interface="out"/>
      <variable name="fixpH" units="dimensionless"/>
      <variable name="pH_calc" units="dimensionless" initial_value="7.8" public_interface="out"/>
      <variable name="protonload" units="molar" initial_value="0" public_interface="out"/>
      <variable name="time" units="minute" public_interface="in"/>
      <variable name="ADK" units="molar_per_minute" public_interface="in"/>
      <variable name="CK" units="molar_per_minute" public_interface="in"/>
      <variable name="flux_GPa" units="molar_per_minute" public_interface="in"/>
      <variable name="flux_GPb" units="molar_per_minute" public_interface="in"/>
      <variable name="v_ALD" units="molar_per_minute" public_interface="in"/>
      <variable name="v_ENOL" units="molar_per_minute" public_interface="in"/>
      <variable name="v_G3PDH" units="molar_per_minute" public_interface="in"/>
      <variable name="v_GAPDH" units="molar_per_minute" public_interface="in"/>
      <variable name="v_LDH" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PFK" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGI" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGK" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGLM" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PGM" units="molar_per_minute" public_interface="in"/>
      <variable name="v_PK" units="molar_per_minute" public_interface="in"/>
      <variable name="v_TPI" units="molar_per_minute" public_interface="in"/>
      <variable name="ATPase" units="molar_per_minute" public_interface="in"/>
      <variable name="dATPdt" units="molar_per_minute"/>
      <variable name="dADPdt" units="molar_per_minute"/>
      <variable name="dAMPdt" units="molar_per_minute"/>
      <variable name="dDHAPdt" units="molar_per_minute"/>
      <variable name="dFBPdt" units="molar_per_minute"/>
      <variable name="dG1Pdt" units="molar_per_minute"/>
      <variable name="dG3Pdt" units="molar_per_minute"/>
      <variable name="dLACdt" units="molar_per_minute"/>
      <variable name="dP2Gdt" units="molar_per_minute"/>
      <variable name="dPCrdt" units="molar_per_minute"/>
      <variable name="dPEPdt" units="molar_per_minute"/>
      <variable name="dPidt" units="molar_per_minute"/>
      <variable name="dCrdt" units="molar_per_minute"/>
      <variable name="dNADdt" units="molar_per_minute"/>
      <variable name="dNADHdt" units="molar_per_minute"/>
      <variable name="dGlydt" units="molar_per_minute"/>
      <variable name="dG6Pdt" units="molar_per_minute"/>
      <variable name="dF6Pdt" units="molar_per_minute"/>
      <variable name="dGAPdt" units="molar_per_minute"/>
      <variable name="dBGPdt" units="molar_per_minute"/>
      <variable name="dP3Gdt" units="molar_per_minute"/>
      <variable name="dPYRdt" units="molar_per_minute"/>
      <variable name="protons_consumed" units="molar_per_minute" public_interface="in"/>
      <variable name="pHODEterm1" units="per_minute" public_interface="in"/>
      <variable name="pHODEterm2" units="per_molar" public_interface="in"/>
      <variable name="denom_mgODE" units="dimensionless" public_interface="in"/>
      <variable name="RHSterm1_mgODE" units="molar" public_interface="in"/>
      <variable name="mg2PG" units="dimensionless" public_interface="in"/>
      <variable name="mgATP2" units="dimensionless" public_interface="in"/>
      <variable name="mgADP" units="dimensionless" public_interface="in"/>
      <variable name="mgAMP" units="dimensionless" public_interface="in"/>
      <variable name="mgDHAP" units="dimensionless" public_interface="in"/>
      <variable name="mgFDP" units="dimensionless" public_interface="in"/>
      <variable name="mgG1P" units="dimensionless" public_interface="in"/>
      <variable name="mgG3P" units="dimensionless" public_interface="in"/>
      <variable name="mgLAC" units="dimensionless" public_interface="in"/>
      <variable name="mgPCR" units="dimensionless" public_interface="in"/>
      <variable name="mgPEP" units="dimensionless" public_interface="in"/>
      <variable name="mgPi" units="dimensionless" public_interface="in"/>
      <variable name="Par_99" units="dimensionless" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>PCr</ci>
            </apply>
            <ci>dPCrdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dPCrdt</ci>
            <ci>CK</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Cr</ci>
            </apply>
            <ci>dCrdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dCrdt</ci>
            <apply>
               <minus/>
               <ci>CK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>NAD</ci>
            </apply>
            <ci>dNADdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNADdt</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <ci>v_GAPDH</ci>
                  </apply>
                  <ci>v_G3PDH</ci>
               </apply>
               <ci>v_LDH</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>NADH</ci>
            </apply>
            <ci>dNADHdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dNADHdt</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>v_GAPDH</ci>
                  <ci>v_G3PDH</ci>
               </apply>
               <ci>v_LDH</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ATP</ci>
            </apply>
            <ci>dATPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dATPdt</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <minus/>
                           <ci>CK</ci>
                        </apply>
                        <ci>ADK</ci>
                     </apply>
                     <ci>v_PFK</ci>
                  </apply>
                  <ci>v_PGK</ci>
                  <ci>v_PK</ci>
               </apply>
               <ci>ATPase</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>ADP</ci>
            </apply>
            <ci>dADPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dADPdt</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>CK</ci>
                        <apply>
                           <times/>
                           <cn cellml:units="dimensionless">2</cn>
                           <ci>ADK</ci>
                        </apply>
                        <ci>v_PFK</ci>
                     </apply>
                     <ci>v_PGK</ci>
                  </apply>
                  <ci>v_PK</ci>
               </apply>
               <ci>ATPase</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>AMP</ci>
            </apply>
            <ci>dAMPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dAMPdt</ci>
            <apply>
               <minus/>
               <ci>ADK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Pi</ci>
            </apply>
            <ci>dPidt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dPidt</ci>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <plus/>
                        <ci>flux_GPa</ci>
                        <ci>flux_GPb</ci>
                     </apply>
                  </apply>
                  <ci>v_GAPDH</ci>
               </apply>
               <ci>ATPase</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Gly</ci>
            </apply>
            <ci>dGlydt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dGlydt</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>flux_GPa</ci>
                  <ci>flux_GPb</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>G1P</ci>
            </apply>
            <ci>dG1Pdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dG1Pdt</ci>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <ci>flux_GPa</ci>
                  <ci>flux_GPb</ci>
               </apply>
               <ci>v_PGLM</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>G6P</ci>
            </apply>
            <ci>dG6Pdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dG6Pdt</ci>
            <apply>
               <minus/>
               <ci>v_PGLM</ci>
               <ci>v_PGI</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>F6P</ci>
            </apply>
            <ci>dF6Pdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dF6Pdt</ci>
            <apply>
               <minus/>
               <ci>v_PGI</ci>
               <ci>v_PFK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>FBP</ci>
            </apply>
            <ci>dFBPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dFBPdt</ci>
            <apply>
               <minus/>
               <ci>v_PFK</ci>
               <ci>v_ALD</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>DHAP</ci>
            </apply>
            <ci>dDHAPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dDHAPdt</ci>
            <apply>
               <plus/>
               <ci>v_ALD</ci>
               <ci>v_TPI</ci>
               <ci>v_G3PDH</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>G3P</ci>
            </apply>
            <ci>dG3Pdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dG3Pdt</ci>
            <apply>
               <minus/>
               <ci>v_G3PDH</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>GAP</ci>
            </apply>
            <ci>dGAPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dGAPdt</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <ci>v_ALD</ci>
                  <ci>v_TPI</ci>
               </apply>
               <ci>v_GAPDH</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>BPG</ci>
            </apply>
            <ci>dBGPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dBGPdt</ci>
            <apply>
               <minus/>
               <ci>v_GAPDH</ci>
               <ci>v_PGK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P3G</ci>
            </apply>
            <ci>dP3Gdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dP3Gdt</ci>
            <apply>
               <minus/>
               <ci>v_PGK</ci>
               <ci>v_PGM</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>P2G</ci>
            </apply>
            <ci>dP2Gdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dP2Gdt</ci>
            <apply>
               <minus/>
               <ci>v_PGM</ci>
               <ci>v_ENOL</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>PEP</ci>
            </apply>
            <ci>dPEPdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dPEPdt</ci>
            <apply>
               <minus/>
               <ci>v_ENOL</ci>
               <ci>v_PK</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>PYR</ci>
            </apply>
            <ci>dPYRdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dPYRdt</ci>
            <apply>
               <minus/>
               <ci>v_PK</ci>
               <ci>v_LDH</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>LAC</ci>
            </apply>
            <ci>dLACdt</ci>
         </apply>
         <apply>
            <eq/>
            <ci>dLACdt</ci>
            <ci>v_LDH</ci>
         </apply>
         <apply>
            <eq/>
            <ci>RHSterm2_mgODE</ci>
            <apply>
               <divide/>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>mgATP2</ci>
                     <ci>dATPdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgADP</ci>
                     <ci>dADPdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgAMP</ci>
                     <ci>dAMPdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgPi</ci>
                     <ci>dPidt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgPCR</ci>
                     <ci>dPCrdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgG1P</ci>
                     <ci>dG1Pdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgFDP</ci>
                     <ci>dFBPdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgG3P</ci>
                     <ci>dG3Pdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgDHAP</ci>
                     <ci>dDHAPdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgPEP</ci>
                     <ci>dPEPdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mg2PG</ci>
                     <ci>dP2Gdt</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>mgLAC</ci>
                     <ci>dLACdt</ci>
                  </apply>
               </apply>
               <ci>denom_mgODE</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>fixmg</ci>
            <cn cellml:units="dimensionless">1</cn>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Mg</ci>
            </apply>
            <piecewise>
               <piece>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>fixmg</ci>
                        <apply>
                           <plus/>
                           <ci>RHSterm2_mgODE</ci>
                           <apply>
                              <times/>
                              <ci>RHSterm1_mgODE</ci>
                              <ci>pHODEterm1</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <times/>
                           <ci>RHSterm1_mgODE</ci>
                           <ci>pHODEterm2</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <leq/>
                     <ci>time</ci>
                     <cn cellml:units="minute">1</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <ci>fixmg</ci>
                     <ci>RHSterm2_mgODE</ci>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>fixpH</ci>
            <ci>Par_99</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>pH_calc</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>fixpH</ci>
                  <apply>
                     <plus/>
                     <ci>pHODEterm1</ci>
                     <apply>
                        <times/>
                        <ci>RHSterm2_mgODE</ci>
                        <ci>pHODEterm2</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <ci>RHSterm1_mgODE</ci>
                     <ci>pHODEterm2</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>protonload</ci>
            </apply>
            <apply>
               <minus/>
               <ci>protons_consumed</ci>
            </apply>
         </apply>
      </math>
   </component>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="correction_factors"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="glycogen_phosphorylase"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="glycogen_phosphorylase_B"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="PGLM"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="PGI"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="PFK"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="ALD"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="GAPDH"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="PGM"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="PK"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="LDH"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="buffer_capacity"/>
      <map_variables variable_1="pH_cy" variable_2="pH_cy"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="ATPase"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="differential_equations"/>
      <map_variables variable_1="time" variable_2="time"/>
      <map_variables variable_1="pH_calc" variable_2="pH_calc"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="parameters" component_2="environment"/>
      <map_variables variable_1="Par_97" variable_2="Par_97"/>
      <map_variables variable_1="Par_98" variable_2="Par_98"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="parameters" component_2="global_parameters"/>
      <map_variables variable_1="Par_90" variable_2="Par_90"/>
      <map_variables variable_1="Par_94" variable_2="Par_94"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="parameters" component_2="equilibrium_constants"/>
      <map_variables variable_1="Par_95" variable_2="Par_95"/>
      <map_variables variable_1="Par_96" variable_2="Par_96"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="parameters" component_2="glycogen_phosphorylase"/>
      <map_variables variable_1="Par_1" variable_2="Par_1"/>
      <map_variables variable_1="Par_2" variable_2="Par_2"/>
      <map_variables variable_1="Par_3" variable_2="Par_3"/>
      <map_variables variable_1="Par_4" variable_2="Par_4"/>
      <map_variables variable_1="Par_5" variable_2="Par_5"/>
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      <map_variables variable_1="deltaH_G3PDH" variable_2="deltaH_G3PDH"/>
      <map_variables variable_1="deltaH_GAPDH" variable_2="deltaH_GAPDH"/>
      <map_variables variable_1="deltaH_GP" variable_2="deltaH_GP"/>
      <map_variables variable_1="deltaH_LDH" variable_2="deltaH_LDH"/>
      <map_variables variable_1="deltaH_PFK" variable_2="deltaH_PFK"/>
      <map_variables variable_1="deltaH_PGI" variable_2="deltaH_PGI"/>
      <map_variables variable_1="deltaH_PGK" variable_2="deltaH_PGK"/>
      <map_variables variable_1="deltaH_PGLM" variable_2="deltaH_PGLM"/>
      <map_variables variable_1="deltaH_PGM" variable_2="deltaH_PGM"/>
      <map_variables variable_1="deltaH_PK" variable_2="deltaH_PK"/>
      <map_variables variable_1="deltaH_TPI" variable_2="deltaH_TPI"/>
      <map_variables variable_1="dNavg13DPGdmg" variable_2="dNavg13DPGdmg"/>
      <map_variables variable_1="dNavg2PGdmg" variable_2="dNavg2PGdmg"/>
      <map_variables variable_1="dNavg3PGdmg" variable_2="dNavg3PGdmg"/>
      <map_variables variable_1="dNavgADPdmg" variable_2="dNavgADPdmg"/>
      <map_variables variable_1="dNavgAMPdmg" variable_2="dNavgAMPdmg"/>
      <map_variables variable_1="dNavgATPdmg" variable_2="dNavgATPdmg"/>
      <map_variables variable_1="dNavgCRdmg" variable_2="dNavgCRdmg"/>
      <map_variables variable_1="dNavgDHAPdmg" variable_2="dNavgDHAPdmg"/>
      <map_variables variable_1="dNavgF6Pdmg" variable_2="dNavgF6Pdmg"/>
      <map_variables variable_1="dNavgFDPdmg" variable_2="dNavgFDPdmg"/>
      <map_variables variable_1="dNavgG1Pdmg" variable_2="dNavgG1Pdmg"/>
      <map_variables variable_1="dNavgG3Pdmg" variable_2="dNavgG3Pdmg"/>
      <map_variables variable_1="dNavgG6Pdmg" variable_2="dNavgG6Pdmg"/>
      <map_variables variable_1="dNavgGAPdmg" variable_2="dNavgGAPdmg"/>
      <map_variables variable_1="dNavgLACdmg" variable_2="dNavgLACdmg"/>
      <map_variables variable_1="dNavgPCRdmg" variable_2="dNavgPCRdmg"/>
      <map_variables variable_1="dNavgPEPdmg" variable_2="dNavgPEPdmg"/>
      <map_variables variable_1="dNavgPYRdmg" variable_2="dNavgPYRdmg"/>
      <map_variables variable_1="dNavgPidmg" variable_2="dNavgPidmg"/>
      <map_variables variable_1="dmg2PGdmg" variable_2="dmg2PGdmg"/>
      <map_variables variable_1="dmgATP2dmg" variable_2="dmgATP2dmg"/>
      <map_variables variable_1="dmgADPdmg" variable_2="dmgADPdmg"/>
      <map_variables variable_1="dmgAMPdmg" variable_2="dmgAMPdmg"/>
      <map_variables variable_1="dmgDHAPdmg" variable_2="dmgDHAPdmg"/>
      <map_variables variable_1="dmgFDPdmg" variable_2="dmgFDPdmg"/>
      <map_variables variable_1="dmgG1Pdmg" variable_2="dmgG1Pdmg"/>
      <map_variables variable_1="dmgG3Pdmg" variable_2="dmgG3Pdmg"/>
      <map_variables variable_1="dmgLACdmg" variable_2="dmgLACdmg"/>
      <map_variables variable_1="dmgPCRdmg" variable_2="dmgPCRdmg"/>
      <map_variables variable_1="dmgPEPdmg" variable_2="dmgPEPdmg"/>
      <map_variables variable_1="dmgPidmg" variable_2="dmgPidmg"/>
      <map_variables variable_1="dmg2PGdpH" variable_2="dmg2PGdpH"/>
      <map_variables variable_1="dmgADPdpH" variable_2="dmgADPdpH"/>
      <map_variables variable_1="dmgAMPdpH" variable_2="dmgAMPdpH"/>
      <map_variables variable_1="dmgATP2dpH" variable_2="dmgATP2dpH"/>
      <map_variables variable_1="dmgDHAPdpH" variable_2="dmgDHAPdpH"/>
      <map_variables variable_1="dmgFDPdpH" variable_2="dmgFDPdpH"/>
      <map_variables variable_1="dmgG1PdpH" variable_2="dmgG1PdpH"/>
      <map_variables variable_1="dmgG3PdpH" variable_2="dmgG3PdpH"/>
      <map_variables variable_1="dmgLACdpH" variable_2="dmgLACdpH"/>
      <map_variables variable_1="dmgPCRdpH" variable_2="dmgPCRdpH"/>
      <map_variables variable_1="dmgPEPdpH" variable_2="dmgPEPdpH"/>
      <map_variables variable_1="dmgPidpH" variable_2="dmgPidpH"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="glycogen_phosphorylase"/>
      <map_variables variable_1="flux_GPa" variable_2="flux_GPa"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="glycogen_phosphorylase_B"/>
      <map_variables variable_1="flux_GPb" variable_2="flux_GPb"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="ALD"/>
      <map_variables variable_1="v_ALD" variable_2="v_ALD"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="ENOL"/>
      <map_variables variable_1="v_ENOL" variable_2="v_ENOL"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="G3PDH"/>
      <map_variables variable_1="v_G3PDH" variable_2="v_G3PDH"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="GAPDH"/>
      <map_variables variable_1="v_GAPDH" variable_2="v_GAPDH"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="LDH"/>
      <map_variables variable_1="v_LDH" variable_2="v_LDH"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="PFK"/>
      <map_variables variable_1="v_PFK" variable_2="v_PFK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="PGI"/>
      <map_variables variable_1="v_PGI" variable_2="v_PGI"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="PGK"/>
      <map_variables variable_1="v_PGK" variable_2="v_PGK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="PGLM"/>
      <map_variables variable_1="v_PGLM" variable_2="v_PGLM"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="PGM"/>
      <map_variables variable_1="v_PGM" variable_2="v_PGM"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="PK"/>
      <map_variables variable_1="v_PK" variable_2="v_PK"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="TPI"/>
      <map_variables variable_1="v_TPI" variable_2="v_TPI"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="equilibrium_constants"/>
      <map_variables variable_1="c0" variable_2="c0"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="buffer_capacity" component_2="differential_equations"/>
      <map_variables variable_1="PCr" variable_2="PCr"/>
      <map_variables variable_1="Cr" variable_2="Cr"/>
      <map_variables variable_1="NAD" variable_2="NAD"/>
      <map_variables variable_1="NADH" variable_2="NADH"/>
      <map_variables variable_1="ATP" variable_2="ATP"/>
      <map_variables variable_1="ADP" variable_2="ADP"/>
      <map_variables variable_1="AMP" variable_2="AMP"/>
      <map_variables variable_1="Pi" variable_2="Pi"/>
      <map_variables variable_1="Gly" variable_2="Gly"/>
      <map_variables variable_1="G1P" variable_2="G1P"/>
      <map_variables variable_1="G6P" variable_2="G6P"/>
      <map_variables variable_1="F6P" variable_2="F6P"/>
      <map_variables variable_1="FBP" variable_2="FBP"/>
      <map_variables variable_1="DHAP" variable_2="DHAP"/>
      <map_variables variable_1="G3P" variable_2="G3P"/>
      <map_variables variable_1="GAP" variable_2="GAP"/>
      <map_variables variable_1="BPG" variable_2="BPG"/>
      <map_variables variable_1="P3G" variable_2="P3G"/>
      <map_variables variable_1="P2G" variable_2="P2G"/>
      <map_variables variable_1="PEP" variable_2="PEP"/>
      <map_variables variable_1="PYR" variable_2="PYR"/>
      <map_variables variable_1="LAC" variable_2="LAC"/>
      <map_variables variable_1="protons_consumed" variable_2="protons_consumed"/>
      <map_variables variable_1="pHODEterm1" variable_2="pHODEterm1"/>
      <map_variables variable_1="pHODEterm2" variable_2="pHODEterm2"/>
      <map_variables variable_1="denom_mgODE" variable_2="denom_mgODE"/>
      <map_variables variable_1="RHSterm1_mgODE" variable_2="RHSterm1_mgODE"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="differential_equations" component_2="correction_factors"/>
      <map_variables variable_1="mg2PG" variable_2="mg2PG"/>
      <map_variables variable_1="mgATP2" variable_2="mgATP2"/>
      <map_variables variable_1="mgADP" variable_2="mgADP"/>
      <map_variables variable_1="mgAMP" variable_2="mgAMP"/>
      <map_variables variable_1="mgDHAP" variable_2="mgDHAP"/>
      <map_variables variable_1="mgFDP" variable_2="mgFDP"/>
      <map_variables variable_1="mgG1P" variable_2="mgG1P"/>
      <map_variables variable_1="mgG3P" variable_2="mgG3P"/>
      <map_variables variable_1="mgLAC" variable_2="mgLAC"/>
      <map_variables variable_1="mgPCR" variable_2="mgPCR"/>
      <map_variables variable_1="mgPEP" variable_2="mgPEP"/>
      <map_variables variable_1="mgPi" variable_2="mgPi"/>
      <map_variables variable_1="Mg" variable_2="mg"/>
   </connection>
</model>