- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2008-07-16 22:23:51+12:00
- Desc:
- committing version01 of wu_jeneson_beard_2006
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/wu_jeneson_beard_2006/rawfile/2d3761c23f86a451fb927fbe57653c57a0668f66/wu_jeneson_beard_2006.cellml
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This CellML file was generated on 7/07/2008 at 10:03:52 at a.m. using:
COR (0.9.31.979)
Copyright 2002-2008 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>Oxidative ATP Synthesis in Skeletal Muscle is Controlled by Substrate Feedback</title>
<author>
<firstname>Geoffrey</firstname>
<surname>Nunns</surname>
<affiliation>
<shortaffil>Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
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<section id="sec_status">
<title>Model Status</title>
<para>
This CellML version of the model does not run in PCEnv or COR, although the units are consistent throughout. Further curation is necessary, although this model does require non-negative constraints that are not currently available in CellML integration tools.
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<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Abstract: Data from 31P-nuclear magnetic resonance spectroscopy of human forearm flexor muscle were analyzed based on a previously developed model of mitochondrial oxidative phosphorylation [PLoS Comp. Bio. (2005) 1:e36] to test the hypothesis that substrate level (concentrations of ADP and inorganic phosphate) represents the primary signal governing the rate of mitochondrial ATP synthesis and maintaining the cellular ATP hydrolysis potential in skeletal muscle. Model-based predictions of cytoplasmic concentra-tions of phosphate metabolites (ATP, ADP, and inorganic phosphate) matched data obtained from 20 healthy volunteers and indicated that as work rate is varied from rest to maximal exercise commensurate increases in the rate of mitochondrial ATP synthesis are effected by changes in concentrations of avail-able ADP and inorganic phosphate. Additional data from patients with a defect of complex I of the res-piratory chain and a patient with a deficiency in the mitochondrial adenine nucleoside translocase were also predicted the by the model by making the appropriate adjustments to the activities of the affected proteins associates with the defects, providing both further validation of the biophysical model of the control of oxidative phosphorylation and insight into the impact of these diseases on the ability of the cell to maintain its energetic state.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
<ulink url="http://ajpcell.physiology.org/cgi/content/abstract/00237.2006v1">Oxidative ATP Synthesis in Skeletal Muscle is Controlled by Substrate Feedback</ulink>, Fan Wu, Jeroen A.L. Jeneson, Daniel A. Beard, 2006, <ulink url="http://ajpcell.physiology.org/">
<emphasis>Am J Physiol Cell Physiol</emphasis>
</ulink>, 292, C115-24 (a <ulink url="http://ajpcell.physiology.org/cgi/reprint/00237.2006v1">PDF</ulink> versions of the article are available on the <emphasis>Am J Physiol Cell Physiol</emphasis> website.) <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=16837647&dopt=Abstract">PubMed ID: 16837647</ulink>
</para>
<informalfigure float="0" id="fig_reaction_diagram">
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<title>model diagram</title>
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<imagedata fileref="wu_2006.png"/>
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<caption>Schematic diagram of the components included in the computational model of oxidative phosphorylation in skeletal muscular cells. All reactions and mass transport take place in three compartments: cytoplasm, mitochondrial intermembrane space, and the mitochondrial matrix.</caption>
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</sect1>
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<component name="dK_x_dt">
<variable units="molar" public_interface="out" name="K_x" initial_value="0.14661"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_K"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_KH"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_x</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci>J_KH</ci>
<ci>J_K</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dMg_x_dt">
<variable units="molar" public_interface="out" name="Mg_x" initial_value="1.0229e-3"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgATP_x"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgADP_x"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Mg_x</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>J_MgADP_x</ci>
</apply>
<ci>J_MgATP_x</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dNADH_x_dt">
<variable units="molar" public_interface="out" name="NADH_x" initial_value="0.0015723"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_DH"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C1"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>NADH_x</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>J_DH</ci>
<ci>J_C1</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dQ_x_dt">
<variable units="molar" public_interface="out" name="Q_x" initial_value="6.75e-4"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C3"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_x</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>J_C1</ci>
<ci>J_C3</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dCox_x_dt">
<variable units="molar" public_interface="out" name="Cox_x" initial_value="1.35e-3"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C3"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C4"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cox_x</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_C3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_C4</ci>
</apply>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_x_dt">
<variable units="molar" public_interface="out" name="ATP_x" initial_value="0.0026657"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_F1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ANT"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_x</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>J_F1</ci>
<ci>J_ANT</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_x_dt">
<variable units="molar" public_interface="out" name="ADP_x" initial_value="0.0073343"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_F1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ANT"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_x</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>J_F1</ci>
</apply>
<ci>J_ANT</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_mx_dt">
<variable units="molar" public_interface="out" name="ATP_mx" initial_value="0.0026046"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgATP_x"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_mx</ci>
</apply>
<apply>
<divide/>
<ci>J_MgATP_x</ci>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_mx_dt">
<variable units="molar" public_interface="out" name="ADP_mx" initial_value="0.0054765"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgADP_x"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_mx</ci>
</apply>
<apply>
<divide/>
<ci>J_MgADP_x</ci>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dPI_x_dt">
<variable units="molar" public_interface="out" name="PI_x" initial_value="1.72e-4"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_F1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_PI1"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_x"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>PI_x</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>J_F1</ci>
</apply>
<ci>J_PI1</ci>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_fi_dt">
<variable units="molar" public_interface="out" name="ATP_fi"/>
<variable units="molar" public_interface="in" name="ATP_i"/>
<variable units="molar" public_interface="in" name="ATP_mi"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ATP_fi</ci>
<apply>
<minus/>
<ci>ATP_i</ci>
<ci>ATP_mi</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_fi_dt">
<variable units="molar" public_interface="out" name="ADP_fi"/>
<variable units="molar" public_interface="in" name="ADP_i"/>
<variable units="molar" public_interface="in" name="ADP_mi"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ADP_fi</ci>
<apply>
<minus/>
<ci>ADP_i</ci>
<ci>ADP_mi</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_i_dt">
<variable units="molar" public_interface="out" name="ATP_i" initial_value="0.0065339"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ATP"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ANT"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_AKi"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_i</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci>J_ATP</ci>
<ci>J_ANT</ci>
<ci>J_AKi</ci>
</apply>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_i_dt">
<variable units="molar" public_interface="out" name="ADP_i" initial_value="6.5773e-5"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ADP"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ANT"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_AKi"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>J_ADP</ci>
<ci>J_ANT</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_AKi</ci>
</apply>
</apply>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dAMP_i_dt">
<variable units="molar" public_interface="out" name="AMP_i" initial_value="2.8837e-7"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_AMP"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ANT"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_AKi"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>AMP_i</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci>J_AMP</ci>
<ci>J_AKi</ci>
</apply>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_mi_dt">
<variable units="molar" public_interface="out" name="ATP_mi" initial_value="0.0063812"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgATP_i"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_mi</ci>
</apply>
<apply>
<divide/>
<ci>J_MgATP_i</ci>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_mi_dt">
<variable units="molar" public_interface="out" name="ADP_mi" initial_value="4.8866e-5"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgADP_i"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_mi</ci>
</apply>
<apply>
<divide/>
<ci>J_MgADP_i</ci>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dPI_i_dt">
<variable units="molar" public_interface="out" name="PI_i" initial_value="1.72e-4"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_PI1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_PI2"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>PI_i</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>J_PI1</ci>
</apply>
<ci>J_PI2</ci>
</apply>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dMg_i_dt">
<variable units="molar" public_interface="out" name="Mg_i" initial_value="0.0010029"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgATP_i"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_MgADP_i"/>
<variable units="l_water_per_l_mito" public_interface="in" name="W_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Mg_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>J_MgADP_i</ci>
</apply>
<ci>J_MgATP_i</ci>
</apply>
<ci>W_i</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_c_dt">
<variable units="molar" public_interface="out" name="ATP_c" initial_value="0.0081312"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ATP"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_AKc"/>
<variable units="mole_per_second_per_l_cell" public_interface="in" name="J_AtC"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_CKc"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<variable units="mito_per_cyto" public_interface="in" name="Rm_cyto"/>
<variable units="cyto_per_cell" public_interface="in" name="Rc_cell"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_c</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>Rm_cyto</ci>
</apply>
<ci>J_ATP</ci>
</apply>
<ci>J_AKc</ci>
</apply>
<apply>
<divide/>
<ci>J_AtC</ci>
<ci>Rc_cell</ci>
</apply>
</apply>
<ci>J_CKc</ci>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_c_dt">
<variable units="molar" public_interface="out" name="ADP_c" initial_value="6.85e-5"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ADP"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_AKc"/>
<variable units="mole_per_second_per_l_cell" public_interface="in" name="J_AtC"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_CKc"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<variable units="mito_per_cyto" public_interface="in" name="Rm_cyto"/>
<variable units="cyto_per_cell" public_interface="in" name="Rc_cell"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_c</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>Rm_cyto</ci>
</apply>
<ci>J_ADP</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_AKc</ci>
</apply>
</apply>
<apply>
<divide/>
<ci>J_AtC</ci>
<ci>Rc_cell</ci>
</apply>
</apply>
<ci>J_CKc</ci>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dAMP_c_dt">
<variable units="molar" public_interface="out" name="AMP_c" initial_value="3.0911e-7"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_AMP"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_AKc"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<variable units="mito_per_cyto" public_interface="in" name="Rm_cyto"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>AMP_c</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>Rm_cyto</ci>
</apply>
<ci>J_AMP</ci>
</apply>
<ci>J_AKc</ci>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_mc_dt">
<variable units="molar" public_interface="out" name="ATP_mc" initial_value="0.0079786"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_MgATP_c"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_mc</ci>
</apply>
<apply>
<divide/>
<ci>J_MgATP_c</ci>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_mc_dt">
<variable units="molar" public_interface="out" name="ADP_mc" initial_value="5.1958e-5"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_MgADP_c"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_mc</ci>
</apply>
<apply>
<divide/>
<ci>J_MgADP_c</ci>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dPI_c_dt">
<variable units="molar" public_interface="out" name="PI_c" initial_value="8.7702e-3"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_PI2"/>
<variable units="mole_per_second_per_l_cell" public_interface="in" name="J_AtC"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<variable units="mito_per_cyto" public_interface="in" name="Rm_cyto"/>
<variable units="cyto_per_cell" public_interface="in" name="Rc_cell"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>PI_c</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>J_PI2</ci>
</apply>
<ci>Rm_cyto</ci>
</apply>
<apply>
<divide/>
<ci>J_AtC</ci>
<ci>Rc_cell</ci>
</apply>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dMg_c_dt">
<variable units="molar" public_interface="out" name="Mg_c" initial_value="0.001003"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_MgATP_c"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_MgADP_c"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Mg_c</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>J_MgATP_c</ci>
</apply>
<ci>J_MgATP_c</ci>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dPCr_c_dt">
<variable units="molar" public_interface="out" name="PCr_c" initial_value="23.589e-3"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_cyto" public_interface="in" name="J_CKc"/>
<variable units="l_water_per_l_cyto" public_interface="in" name="W_c"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>PCr_c</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>J_CKc</ci>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_fc_dt">
<variable units="molar" public_interface="out" name="ATP_fc"/>
<variable units="molar" public_interface="in" name="ATP_c"/>
<variable units="molar" public_interface="in" name="ATP_mc"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ATP_fc</ci>
<apply>
<minus/>
<ci>ATP_c</ci>
<ci>ATP_mc</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_fc_dt">
<variable units="molar" public_interface="out" name="ADP_fc"/>
<variable units="molar" public_interface="in" name="ADP_c"/>
<variable units="molar" public_interface="in" name="ADP_mc"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ADP_fc</ci>
<apply>
<minus/>
<ci>ADP_c</ci>
<ci>ADP_mc</ci>
</apply>
</apply>
</math>
</component>
<component name="dCr_c_dt">
<variable units="molar" public_interface="out" name="Cr_c"/>
<variable units="molar" public_interface="in" name="CR_tot"/>
<variable units="molar" public_interface="in" name="PCr_c"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Cr_c</ci>
<apply>
<minus/>
<ci>CR_tot</ci>
<ci>PCr_c</ci>
</apply>
</apply>
</math>
</component>
<component name="ddeltaPsi_dt">
<variable units="millivolt" public_interface="out" name="deltaPsi" initial_value="166.67"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C3"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_C4"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_F1"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_ANT"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_Hle"/>
<variable units="mole_per_second_per_l_mito" public_interface="in" name="J_K"/>
<variable units="dimensionless" public_interface="in" name="n_A"/>
<variable units="mole_per_l_mito_per_millivolt" public_interface="in" name="C_IM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>deltaPsi</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>J_C1</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>J_C3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>J_C4</ci>
</apply>
</apply>
<apply>
<times/>
<ci>n_A</ci>
<ci>J_F1</ci>
</apply>
</apply>
<ci>J_ANT</ci>
</apply>
<ci>J_Hle</ci>
</apply>
<ci>J_K</ci>
</apply>
<ci>C_IM</ci>
</apply>
</apply>
</math>
</component>
<component name="J_DH">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_DH"/>
<variable units="mole_per_second_per_l_mito_per_molar" public_interface="in" name="X_DH"/>
<variable units="dimensionless" public_interface="in" name="r"/>
<variable units="molar" public_interface="in" name="NAD_x"/>
<variable units="molar" public_interface="in" name="NADH_x"/>
<variable units="molar" public_interface="in" name="PI_x"/>
<variable units="molar" public_interface="in" name="k_PI1"/>
<variable units="molar" public_interface="in" name="k_PI2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_DH</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>X_DH</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>r</ci>
<ci>NAD_x</ci>
</apply>
<ci>NADH_x</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>PI_x</ci>
<ci>k_PI1</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>PI_x</ci>
<ci>k_PI2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_C1">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_C1"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_C1"/>
<variable units="molar" public_interface="in" name="NAD_x"/>
<variable units="molar" public_interface="in" name="NADH_x"/>
<variable units="molar" public_interface="in" name="Q_x"/>
<variable units="molar" public_interface="in" name="QH2_x"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="molar" public_interface="in" name="k_PI1"/>
<variable units="molar" public_interface="in" name="k_PI2"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_C1op"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_H"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_C1</ci>
<apply>
<times/>
<ci>X_C1</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>dG_C1op</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>dG_H</ci>
</apply>
</apply>
</apply>
<ci>RT</ci>
</apply>
</apply>
<ci>NADH_x</ci>
<ci>Q_x</ci>
</apply>
<apply>
<times/>
<ci>NAD_x</ci>
<ci>QH2_x</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_C3">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_C3"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_half_molar" public_interface="in" name="X_C3"/>
<variable units="molar" public_interface="in" name="Cox_x"/>
<variable units="molar" public_interface="in" name="Cred_x"/>
<variable units="molar" public_interface="in" name="Q_x"/>
<variable units="molar" public_interface="in" name="QH2_x"/>
<variable units="molar" public_interface="in" name="PI_x"/>
<variable units="kilojoule_per_mole_per_millivolt" public_interface="in" name="F"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="millivolt" public_interface="in" name="deltaPsi"/>
<variable units="molar" public_interface="in" name="k_PI3"/>
<variable units="molar" public_interface="in" name="k_PI4"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_C3op"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_H"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_C3</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>X_C3</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>PI_x</ci>
<ci>k_PI3</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>PI_x</ci>
<ci>k_PI4</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>dG_C3op</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>dG_H</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>RT</ci>
</apply>
</apply>
</apply>
<ci>Cox_x</ci>
<apply>
<root/>
<ci>QH2_x</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Cred_x</ci>
<apply>
<root/>
<ci>Q_x</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_C4">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_C4"/>
<variable units="mole_per_second_per_l_mito_per_molar" public_interface="in" name="X_C4"/>
<variable units="molar" public_interface="in" name="C_tot"/>
<variable units="molar" public_interface="in" name="Cred_x"/>
<variable units="molar" public_interface="in" name="Cox_x"/>
<variable units="molar" name="O2_x" initial_value="0"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="kilojoule_per_mole_per_millivolt" public_interface="in" name="F"/>
<variable units="millivolt" public_interface="in" name="deltaPsi"/>
<variable units="molar" public_interface="in" name="k_O2"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_C4op"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_H"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_C4</ci>
<piecewise>
<piece>
<cn cellml:units="mole_per_second_per_l_mito">0</cn>
<apply>
<lt/>
<ci>O2_x</ci>
<cn cellml:units="molar">1e-12</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>X_C4</ci>
<ci>O2_x</ci>
</apply>
<apply>
<plus/>
<ci>O2_x</ci>
<ci>k_O2</ci>
</apply>
</apply>
<ci>Cred_x</ci>
</apply>
<ci>C_tot</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>dG_C4op</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>dG_H</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>RT</ci>
</apply>
</apply>
</apply>
<ci>Cred_x</ci>
<apply>
<power/>
<ci>O2_x</ci>
<cn cellml:units="dimensionless">0.25</cn>
</apply>
</apply>
<apply>
<times/>
<ci>Cox_x</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="J_F1">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_F1"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_F1"/>
<variable units="molar" public_interface="in" name="ATP_mx"/>
<variable units="molar" public_interface="in" name="ADP_mx"/>
<variable units="molar" public_interface="in" name="PI_x"/>
<variable units="dimensionless" public_interface="in" name="n_A"/>
<variable units="millivolt" public_interface="in" name="deltaPsi"/>
<variable units="kilojoule_per_mole_per_millivolt" public_interface="in" name="F"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="molar" public_interface="in" name="K_DD"/>
<variable units="molar" public_interface="in" name="K_DT"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_F1o"/>
<variable units="kilojoule_per_mole" public_interface="in" name="dG_H"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_F1</ci>
<apply>
<times/>
<ci>X_F1</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>dG_F1o</ci>
<apply>
<times/>
<ci>n_A</ci>
<ci>dG_H</ci>
</apply>
</apply>
</apply>
<ci>RT</ci>
</apply>
</apply>
<ci>K_DD</ci>
</apply>
<ci>K_DT</ci>
</apply>
<ci>ADP_mx</ci>
<ci>PI_x</ci>
</apply>
<apply>
<times/>
<ci>ATP_mx</ci>
<cn cellml:units="molar">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_ANT">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_ANT"/>
<variable units="molar" name="mincon" initial_value="1e-9"/>
<variable units="mole_per_second_per_l_mito_per_molar" public_interface="in" name="X_ANT"/>
<variable units="molar" public_interface="in" name="ATP_fx"/>
<variable units="molar" public_interface="in" name="ADP_fx"/>
<variable units="molar" public_interface="in" name="ATP_fi"/>
<variable units="molar" public_interface="in" name="ADP_fi"/>
<variable units="molar" public_interface="in" name="k_mADP"/>
<variable units="millivolt" public_interface="in" name="deltaPsi"/>
<variable units="kilojoule_per_mole_per_millivolt" public_interface="in" name="F"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="millivolt" name="Psi_x"/>
<variable units="millivolt" name="Psi_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Psi_x</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.65</cn>
</apply>
<ci>deltaPsi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Psi_i</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.35</cn>
<ci>deltaPsi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_ANT</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>X_ANT</ci>
<apply>
<minus/>
<apply>
<divide/>
<ci>ADP_fi</ci>
<apply>
<plus/>
<ci>ADP_fi</ci>
<apply>
<times/>
<ci>ATP_fi</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>Psi_i</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci>ADP_fx</ci>
<apply>
<plus/>
<ci>ADP_fx</ci>
<apply>
<times/>
<ci>ATP_fx</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>Psi_x</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<ci>ADP_fi</ci>
</apply>
<apply>
<plus/>
<ci>ADP_fi</ci>
<ci>k_mADP</ci>
</apply>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>ADP_fi</ci>
<ci>mincon</ci>
</apply>
<apply>
<gt/>
<ci>ATP_fi</ci>
<ci>mincon</ci>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="mole_per_second_per_l_mito">0</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="J_PI1">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_PI1"/>
<variable units="molar" public_interface="in" name="PI_i"/>
<variable units="molar" public_interface="in" name="PI_x"/>
<variable units="molar" public_interface="in" name="H_i"/>
<variable units="molar" public_interface="in" name="H_x"/>
<variable units="molar" public_interface="in" name="k_dHPI"/>
<variable units="molar" public_interface="in" name="k_PIH"/>
<variable units="molar" public_interface="out" name="H2PIi"/>
<variable units="molar" public_interface="out" name="H2PIx"/>
<variable units="mole_per_second_per_l_mito_per_molar" public_interface="in" name="X_PI1"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>H2PIi</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>PI_i</ci>
<ci>H_i</ci>
</apply>
<apply>
<plus/>
<ci>H_i</ci>
<ci>k_dHPI</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>H2PIx</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>PI_x</ci>
<ci>H_x</ci>
</apply>
<apply>
<plus/>
<ci>H_x</ci>
<ci>k_dHPI</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_PI1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>X_PI1</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>H_i</ci>
<ci>H2PIi</ci>
</apply>
<apply>
<times/>
<ci>H_x</ci>
<ci>H2PIx</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>H2PIi</ci>
<ci>k_PIH</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_Hle">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_Hle"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_millivolt" public_interface="in" name="X_Hle"/>
<variable units="molar" public_interface="in" name="PI_i"/>
<variable units="molar" public_interface="in" name="PI_x"/>
<variable units="molar" public_interface="in" name="H_i"/>
<variable units="molar" public_interface="in" name="H_x"/>
<variable units="millivolt" public_interface="in" name="deltaPsi"/>
<variable units="kilojoule_per_mole_per_millivolt" public_interface="in" name="F"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="millivolt" name="mincond" initial_value="1e-6"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_Hle</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>X_Hle</ci>
<ci>deltaPsi</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>H_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
<ci>H_x</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>deltaPsi</ci>
</apply>
<ci>mincond</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>X_Hle</ci>
<ci>RT</ci>
<apply>
<minus/>
<ci>H_i</ci>
<ci>H_x</ci>
</apply>
</apply>
<ci>F</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="J_KH">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_KH"/>
<variable units="molar" public_interface="in" name="K_x"/>
<variable units="molar" public_interface="in" name="K_i"/>
<variable units="molar" public_interface="in" name="H_x"/>
<variable units="molar" public_interface="in" name="H_i"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_KH"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_KH</ci>
<apply>
<times/>
<ci>X_KH</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_i</ci>
<ci>H_x</ci>
</apply>
<apply>
<times/>
<ci>K_x</ci>
<ci>H_i</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_K">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_K"/>
<variable units="molar" public_interface="in" name="K_x"/>
<variable units="molar" public_interface="in" name="K_i"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_millivolt" public_interface="in" name="X_K"/>
<variable units="millivolt" public_interface="in" name="deltaPsi"/>
<variable units="kilojoule_per_mole_per_millivolt" public_interface="in" name="F"/>
<variable units="kilojoule_per_mole" public_interface="in" name="RT"/>
<variable units="millivolt" name="mincond" initial_value="1e-6"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_K</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>X_K</ci>
<ci>deltaPsi</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
</apply>
<ci>K_x</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
<ci>RT</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<ci>deltaPsi</ci>
</apply>
<ci>mincond</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>X_K</ci>
<ci>RT</ci>
<apply>
<minus/>
<ci>K_i</ci>
<ci>K_x</ci>
</apply>
</apply>
<ci>F</ci>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="J_AMP">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_AMP"/>
<variable units="molar" public_interface="in" name="AMP_c"/>
<variable units="molar" public_interface="in" name="AMP_i"/>
<variable units="per_micron" public_interface="in" name="gamma"/>
<variable units="micron_per_second" public_interface="in" name="X_A"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_AMP</ci>
<apply>
<times/>
<ci>gamma</ci>
<ci>X_A</ci>
<apply>
<minus/>
<ci>AMP_c</ci>
<ci>AMP_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_ADP">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_ADP"/>
<variable units="molar" public_interface="in" name="ADP_c"/>
<variable units="molar" public_interface="in" name="ADP_i"/>
<variable units="per_micron" public_interface="in" name="gamma"/>
<variable units="micron_per_second" public_interface="in" name="X_A"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_ADP</ci>
<apply>
<times/>
<ci>gamma</ci>
<ci>X_A</ci>
<apply>
<minus/>
<ci>ADP_c</ci>
<ci>ADP_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_ATP">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_ATP"/>
<variable units="molar" public_interface="in" name="ATP_c"/>
<variable units="molar" public_interface="in" name="ATP_i"/>
<variable units="per_micron" public_interface="in" name="gamma"/>
<variable units="micron_per_second" public_interface="in" name="X_A"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_ATP</ci>
<apply>
<times/>
<ci>gamma</ci>
<ci>X_A</ci>
<apply>
<minus/>
<ci>ATP_c</ci>
<ci>ATP_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_PI2">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_PI2"/>
<variable units="molar" public_interface="in" name="PI_c"/>
<variable units="molar" public_interface="in" name="PI_i"/>
<variable units="per_micron" public_interface="in" name="gamma"/>
<variable units="micron_per_second" public_interface="in" name="X_PI2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_PI2</ci>
<apply>
<times/>
<ci>gamma</ci>
<ci>X_PI2</ci>
<apply>
<minus/>
<ci>PI_c</ci>
<ci>PI_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_MgATP_x">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_MgATP_x"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_MgA"/>
<variable units="molar" public_interface="in" name="ATP_fx"/>
<variable units="molar" public_interface="in" name="Mg_x"/>
<variable units="molar" public_interface="in" name="ATP_mx"/>
<variable units="molar" public_interface="in" name="K_DT"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgATP_x</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ATP_fx</ci>
<ci>Mg_x</ci>
</apply>
<apply>
<times/>
<ci>K_DT</ci>
<ci>ATP_mx</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_MgADP_x">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_MgADP_x"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_MgA"/>
<variable units="molar" public_interface="in" name="ADP_fx"/>
<variable units="molar" public_interface="in" name="Mg_x"/>
<variable units="molar" public_interface="in" name="ADP_mx"/>
<variable units="molar" public_interface="in" name="K_DD"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgADP_x</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ADP_fx</ci>
<ci>Mg_x</ci>
</apply>
<apply>
<times/>
<ci>K_DD</ci>
<ci>ADP_mx</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_MgATP_i">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_MgATP_i"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_MgA"/>
<variable units="molar" public_interface="in" name="ATP_fi"/>
<variable units="molar" public_interface="in" name="Mg_i"/>
<variable units="molar" public_interface="in" name="ATP_mi"/>
<variable units="molar" public_interface="in" name="K_DT"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgATP_i</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ATP_fi</ci>
<ci>Mg_i</ci>
</apply>
<apply>
<times/>
<ci>K_DT</ci>
<ci>ATP_mi</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_MgADP_i">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_MgADP_i"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_MgA"/>
<variable units="molar" public_interface="in" name="ADP_fi"/>
<variable units="molar" public_interface="in" name="Mg_i"/>
<variable units="molar" public_interface="in" name="ADP_mi"/>
<variable units="molar" public_interface="in" name="K_DD"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgADP_i</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ADP_fi</ci>
<ci>Mg_i</ci>
</apply>
<apply>
<times/>
<ci>K_DD</ci>
<ci>ADP_mi</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_MgATP_c">
<variable units="mole_per_second_per_l_cyto" public_interface="out" name="J_MgATP_c"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_MgA"/>
<variable units="molar" public_interface="in" name="ATP_fc"/>
<variable units="molar" public_interface="in" name="Mg_c"/>
<variable units="molar" public_interface="in" name="ATP_mc"/>
<variable units="molar" public_interface="in" name="K_DT"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgATP_c</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ATP_fc</ci>
<ci>Mg_c</ci>
</apply>
<apply>
<times/>
<ci>K_DT</ci>
<ci>ATP_mc</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_MgADP_c">
<variable units="mole_per_second_per_l_cyto" public_interface="out" name="J_MgADP_c"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_MgA"/>
<variable units="molar" public_interface="in" name="ADP_fc"/>
<variable units="molar" public_interface="in" name="Mg_c"/>
<variable units="molar" public_interface="in" name="ADP_mc"/>
<variable units="molar" public_interface="in" name="K_DD"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgADP_c</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>ADP_fc</ci>
<ci>Mg_c</ci>
</apply>
<apply>
<times/>
<ci>K_DD</ci>
<ci>ADP_mc</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_AKi">
<variable units="mole_per_second_per_l_mito" public_interface="out" name="J_AKi"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_AK"/>
<variable units="molar" public_interface="in" name="ATP_i"/>
<variable units="molar" public_interface="in" name="ADP_i"/>
<variable units="molar" public_interface="in" name="AMP_i"/>
<variable units="dimensionless" public_interface="in" name="K_AK"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_AKi</ci>
<apply>
<times/>
<ci>X_AK</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_AK</ci>
<ci>ADP_i</ci>
<ci>ADP_i</ci>
</apply>
<apply>
<times/>
<ci>AMP_i</ci>
<ci>ATP_i</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_AKc">
<variable units="mole_per_second_per_l_cyto" public_interface="out" name="J_AKc"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_AK"/>
<variable units="molar" public_interface="in" name="ATP_c"/>
<variable units="molar" public_interface="in" name="ADP_c"/>
<variable units="molar" public_interface="in" name="AMP_c"/>
<variable units="dimensionless" public_interface="in" name="K_AK"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_AKc</ci>
<apply>
<times/>
<ci>X_AK</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_AK</ci>
<ci>ADP_c</ci>
<ci>ADP_c</ci>
</apply>
<apply>
<times/>
<ci>AMP_c</ci>
<ci>ATP_c</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_AtC">
<variable units="mole_per_second_per_l_cell" public_interface="out" name="J_AtC"/>
<variable units="mole_per_second_per_l_cell" name="X_AtC" initial_value="0"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_AtC</ci>
<ci>X_AtC</ci>
</apply>
</math>
</component>
<component name="J_CKc">
<variable units="mole_per_second_per_l_cyto" public_interface="out" name="J_CKc"/>
<variable units="mole_per_second_per_l_mito_per_molar_per_molar" public_interface="in" name="X_CK"/>
<variable units="per_molar" public_interface="in" name="K_CK"/>
<variable units="molar" public_interface="in" name="ATP_c"/>
<variable units="molar" public_interface="in" name="ADP_c"/>
<variable units="molar" public_interface="in" name="H_c"/>
<variable units="molar" public_interface="in" name="PCr_c"/>
<variable units="molar" public_interface="in" name="Cr_c"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_CKc</ci>
<apply>
<times/>
<ci>X_CK</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_CK</ci>
<ci>ADP_c</ci>
<ci>PCr_c</ci>
<ci>H_c</ci>
</apply>
<apply>
<times/>
<ci>ATP_c</ci>
<ci>Cr_c</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="dH_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dK_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dMg_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dNADH_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dQ_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dCox_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dATP_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dADP_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dATP_mx_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dADP_mx_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dPI_x_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dATP_i_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dADP_i_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dATP_mi_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dADP_mi_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dAMP_i_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dPI_i_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dMg_i_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dATP_c_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dADP_c_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dAMP_c_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dATP_mc_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dADP_mc_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dPI_c_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dMg_c_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="dPCr_c_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="ddeltaPsi_dt" component_1="Environment"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="J_DH" component_1="dH_x_dt"/>
<map_variables variable_2="J_DH" variable_1="J_DH"/>
</connection>
<connection>
<map_components component_2="J_C1" component_1="dH_x_dt"/>
<map_variables variable_2="J_C1" variable_1="J_C1"/>
</connection>
<connection>
<map_components component_2="J_C3" component_1="dH_x_dt"/>
<map_variables variable_2="J_C3" variable_1="J_C3"/>
</connection>
<connection>
<map_components component_2="J_C4" component_1="dH_x_dt"/>
<map_variables variable_2="J_C4" variable_1="J_C4"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="dH_x_dt"/>
<map_variables variable_2="J_F1" variable_1="J_F1"/>
</connection>
<connection>
<map_components component_2="J_PI1" component_1="dH_x_dt"/>
<map_variables variable_2="H_x" variable_1="H_x"/>
<map_variables variable_2="J_PI1" variable_1="J_PI1"/>
</connection>
<connection>
<map_components component_2="J_Hle" component_1="dH_x_dt"/>
<map_variables variable_2="H_x" variable_1="H_x"/>
<map_variables variable_2="J_Hle" variable_1="J_Hle"/>
</connection>
<connection>
<map_components component_2="J_KH" component_1="dH_x_dt"/>
<map_variables variable_2="H_x" variable_1="H_x"/>
<map_variables variable_2="J_KH" variable_1="J_KH"/>
</connection>
<connection>
<map_components component_2="J_KH" component_1="dK_x_dt"/>
<map_variables variable_2="K_x" variable_1="K_x"/>
<map_variables variable_2="J_KH" variable_1="J_KH"/>
</connection>
<connection>
<map_components component_2="J_K" component_1="dK_x_dt"/>
<map_variables variable_2="K_x" variable_1="K_x"/>
<map_variables variable_2="J_K" variable_1="J_K"/>
</connection>
<connection>
<map_components component_2="J_MgATP_x" component_1="dMg_x_dt"/>
<map_variables variable_2="Mg_x" variable_1="Mg_x"/>
<map_variables variable_2="J_MgATP_x" variable_1="J_MgATP_x"/>
</connection>
<connection>
<map_components component_2="J_MgADP_x" component_1="dMg_x_dt"/>
<map_variables variable_2="Mg_x" variable_1="Mg_x"/>
<map_variables variable_2="J_MgADP_x" variable_1="J_MgADP_x"/>
</connection>
<connection>
<map_components component_2="J_DH" component_1="dNADH_x_dt"/>
<map_variables variable_2="NADH_x" variable_1="NADH_x"/>
<map_variables variable_2="J_DH" variable_1="J_DH"/>
</connection>
<connection>
<map_components component_2="J_C1" component_1="dNADH_x_dt"/>
<map_variables variable_2="NADH_x" variable_1="NADH_x"/>
<map_variables variable_2="J_C1" variable_1="J_C1"/>
</connection>
<connection>
<map_components component_2="J_C1" component_1="dQ_x_dt"/>
<map_variables variable_2="Q_x" variable_1="Q_x"/>
<map_variables variable_2="J_C1" variable_1="J_C1"/>
</connection>
<connection>
<map_components component_2="J_C1" component_1="dQH2_x_dt"/>
<map_variables variable_2="QH2_x" variable_1="QH2_x"/>
</connection>
<connection>
<map_components component_2="J_C3" component_1="dQ_x_dt"/>
<map_variables variable_2="Q_x" variable_1="Q_x"/>
<map_variables variable_2="J_C3" variable_1="J_C3"/>
</connection>
<connection>
<map_components component_2="J_C3" component_1="dQH2_x_dt"/>
<map_variables variable_2="QH2_x" variable_1="QH2_x"/>
</connection>
<connection>
<map_components component_2="J_C3" component_1="dCox_x_dt"/>
<map_variables variable_2="Cox_x" variable_1="Cox_x"/>
<map_variables variable_2="J_C3" variable_1="J_C3"/>
</connection>
<connection>
<map_components component_2="J_C4" component_1="dCox_x_dt"/>
<map_variables variable_2="Cox_x" variable_1="Cox_x"/>
<map_variables variable_2="J_C4" variable_1="J_C4"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="dATP_mx_dt"/>
<map_variables variable_2="ATP_mx" variable_1="ATP_mx"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="dATP_x_dt"/>
<map_variables variable_2="J_F1" variable_1="J_F1"/>
</connection>
<connection>
<map_components component_2="J_ANT" component_1="dATP_x_dt"/>
<map_variables variable_2="J_ANT" variable_1="J_ANT"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="dADP_x_dt"/>
<map_variables variable_2="J_F1" variable_1="J_F1"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="dADP_mx_dt"/>
<map_variables variable_2="ADP_mx" variable_1="ADP_mx"/>
</connection>
<connection>
<map_components component_2="J_ANT" component_1="dADP_x_dt"/>
<map_variables variable_2="J_ANT" variable_1="J_ANT"/>
</connection>
<connection>
<map_components component_2="J_MgATP_x" component_1="dATP_mx_dt"/>
<map_variables variable_2="ATP_mx" variable_1="ATP_mx"/>
<map_variables variable_2="J_MgATP_x" variable_1="J_MgATP_x"/>
</connection>
<connection>
<map_components component_2="J_MgADP_x" component_1="dADP_mx_dt"/>
<map_variables variable_2="ADP_mx" variable_1="ADP_mx"/>
<map_variables variable_2="J_MgADP_x" variable_1="J_MgADP_x"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="dPI_x_dt"/>
<map_variables variable_2="PI_x" variable_1="PI_x"/>
<map_variables variable_2="J_F1" variable_1="J_F1"/>
</connection>
<connection>
<map_components component_2="J_PI1" component_1="dPI_x_dt"/>
<map_variables variable_2="PI_x" variable_1="PI_x"/>
<map_variables variable_2="J_PI1" variable_1="J_PI1"/>
</connection>
<connection>
<map_components component_2="J_ATP" component_1="dATP_i_dt"/>
<map_variables variable_2="ATP_i" variable_1="ATP_i"/>
<map_variables variable_2="J_ATP" variable_1="J_ATP"/>
</connection>
<connection>
<map_components component_2="J_ANT" component_1="dATP_i_dt"/>
<map_variables variable_2="J_ANT" variable_1="J_ANT"/>
</connection>
<connection>
<map_components component_2="J_AKi" component_1="dATP_i_dt"/>
<map_variables variable_2="ATP_i" variable_1="ATP_i"/>
<map_variables variable_2="J_AKi" variable_1="J_AKi"/>
</connection>
<connection>
<map_components component_2="J_ADP" component_1="dADP_i_dt"/>
<map_variables variable_2="ADP_i" variable_1="ADP_i"/>
<map_variables variable_2="J_ADP" variable_1="J_ADP"/>
</connection>
<connection>
<map_components component_2="J_ANT" component_1="dADP_i_dt"/>
<map_variables variable_2="J_ANT" variable_1="J_ANT"/>
</connection>
<connection>
<map_components component_2="J_AKi" component_1="dADP_i_dt"/>
<map_variables variable_2="ADP_i" variable_1="ADP_i"/>
<map_variables variable_2="J_AKi" variable_1="J_AKi"/>
</connection>
<connection>
<map_components component_2="J_AMP" component_1="dAMP_i_dt"/>
<map_variables variable_2="AMP_i" variable_1="AMP_i"/>
<map_variables variable_2="J_AMP" variable_1="J_AMP"/>
</connection>
<connection>
<map_components component_2="J_AKi" component_1="dAMP_i_dt"/>
<map_variables variable_2="AMP_i" variable_1="AMP_i"/>
<map_variables variable_2="J_AKi" variable_1="J_AKi"/>
</connection>
<connection>
<map_components component_2="J_MgATP_i" component_1="dATP_mi_dt"/>
<map_variables variable_2="ATP_mi" variable_1="ATP_mi"/>
<map_variables variable_2="J_MgATP_i" variable_1="J_MgATP_i"/>
</connection>
<connection>
<map_components component_2="J_MgADP_i" component_1="dADP_mi_dt"/>
<map_variables variable_2="ADP_mi" variable_1="ADP_mi"/>
<map_variables variable_2="J_MgADP_i" variable_1="J_MgADP_i"/>
</connection>
<connection>
<map_components component_2="J_PI1" component_1="dPI_i_dt"/>
<map_variables variable_2="PI_i" variable_1="PI_i"/>
<map_variables variable_2="J_PI1" variable_1="J_PI1"/>
</connection>
<connection>
<map_components component_2="J_PI2" component_1="dPI_i_dt"/>
<map_variables variable_2="PI_i" variable_1="PI_i"/>
<map_variables variable_2="J_PI2" variable_1="J_PI2"/>
</connection>
<connection>
<map_components component_2="J_MgATP_i" component_1="dMg_i_dt"/>
<map_variables variable_2="Mg_i" variable_1="Mg_i"/>
<map_variables variable_2="J_MgATP_i" variable_1="J_MgATP_i"/>
</connection>
<connection>
<map_components component_2="J_MgADP_i" component_1="dMg_i_dt"/>
<map_variables variable_2="Mg_i" variable_1="Mg_i"/>
<map_variables variable_2="J_MgADP_i" variable_1="J_MgADP_i"/>
</connection>
<connection>
<map_components component_2="J_ATP" component_1="dATP_c_dt"/>
<map_variables variable_2="ATP_c" variable_1="ATP_c"/>
<map_variables variable_2="J_ATP" variable_1="J_ATP"/>
</connection>
<connection>
<map_components component_2="J_AKc" component_1="dATP_c_dt"/>
<map_variables variable_2="ATP_c" variable_1="ATP_c"/>
<map_variables variable_2="J_AKc" variable_1="J_AKc"/>
</connection>
<connection>
<map_components component_2="J_AtC" component_1="dATP_c_dt"/>
<map_variables variable_2="J_AtC" variable_1="J_AtC"/>
</connection>
<connection>
<map_components component_2="J_CKc" component_1="dATP_c_dt"/>
<map_variables variable_2="ATP_c" variable_1="ATP_c"/>
<map_variables variable_2="J_CKc" variable_1="J_CKc"/>
</connection>
<connection>
<map_components component_2="J_ADP" component_1="dADP_c_dt"/>
<map_variables variable_2="ADP_c" variable_1="ADP_c"/>
<map_variables variable_2="J_ADP" variable_1="J_ADP"/>
</connection>
<connection>
<map_components component_2="J_AKc" component_1="dADP_c_dt"/>
<map_variables variable_2="ADP_c" variable_1="ADP_c"/>
<map_variables variable_2="J_AKc" variable_1="J_AKc"/>
</connection>
<connection>
<map_components component_2="J_AtC" component_1="dADP_c_dt"/>
<map_variables variable_2="J_AtC" variable_1="J_AtC"/>
</connection>
<connection>
<map_components component_2="J_CKc" component_1="dADP_c_dt"/>
<map_variables variable_2="ADP_c" variable_1="ADP_c"/>
<map_variables variable_2="J_CKc" variable_1="J_CKc"/>
</connection>
<connection>
<map_components component_2="J_AMP" component_1="dAMP_c_dt"/>
<map_variables variable_2="AMP_c" variable_1="AMP_c"/>
<map_variables variable_2="J_AMP" variable_1="J_AMP"/>
</connection>
<connection>
<map_components component_2="J_AKc" component_1="dAMP_c_dt"/>
<map_variables variable_2="AMP_c" variable_1="AMP_c"/>
<map_variables variable_2="J_AKc" variable_1="J_AKc"/>
</connection>
<connection>
<map_components component_2="J_MgATP_c" component_1="dATP_mc_dt"/>
<map_variables variable_2="ATP_mc" variable_1="ATP_mc"/>
<map_variables variable_2="J_MgATP_c" variable_1="J_MgATP_c"/>
</connection>
<connection>
<map_components component_2="J_MgADP_c" component_1="dADP_mc_dt"/>
<map_variables variable_2="ADP_mc" variable_1="ADP_mc"/>
<map_variables variable_2="J_MgADP_c" variable_1="J_MgADP_c"/>
</connection>
<connection>
<map_components component_2="J_PI2" component_1="dPI_c_dt"/>
<map_variables variable_2="PI_c" variable_1="PI_c"/>
<map_variables variable_2="J_PI2" variable_1="J_PI2"/>
</connection>
<connection>
<map_components component_2="J_AtC" component_1="dPI_c_dt"/>
<map_variables variable_2="J_AtC" variable_1="J_AtC"/>
</connection>
<connection>
<map_components component_2="J_MgATP_c" component_1="dMg_c_dt"/>
<map_variables variable_2="Mg_c" variable_1="Mg_c"/>
<map_variables variable_2="J_MgATP_c" variable_1="J_MgATP_c"/>
</connection>
<connection>
<map_components component_2="J_MgADP_c" component_1="dMg_c_dt"/>
<map_variables variable_2="Mg_c" variable_1="Mg_c"/>
<map_variables variable_2="J_MgADP_c" variable_1="J_MgADP_c"/>
</connection>
<connection>
<map_components component_2="J_CKc" component_1="dPCr_c_dt"/>
<map_variables variable_2="PCr_c" variable_1="PCr_c"/>
<map_variables variable_2="J_CKc" variable_1="J_CKc"/>
</connection>
<connection>
<map_components component_2="J_C1" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="J_C1" variable_1="J_C1"/>
</connection>
<connection>
<map_components component_2="J_C3" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="J_C3" variable_1="J_C3"/>
</connection>
<connection>
<map_components component_2="J_C4" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="J_C4" variable_1="J_C4"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="J_F1" variable_1="J_F1"/>
</connection>
<connection>
<map_components component_2="J_ANT" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="J_ANT" variable_1="J_ANT"/>
</connection>
<connection>
<map_components component_2="J_Hle" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="J_Hle" variable_1="J_Hle"/>
</connection>
<connection>
<map_components component_2="J_K" component_1="ddeltaPsi_dt"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="J_K" variable_1="J_K"/>
</connection>
<connection>
<map_components component_2="J_C1" component_1="fixed_parameters"/>
<map_variables variable_2="dG_C1op" variable_1="dG_C1op"/>
<map_variables variable_2="dG_H" variable_1="dG_H"/>
<map_variables variable_2="RT" variable_1="RT"/>
</connection>
<connection>
<map_components component_2="J_C3" component_1="fixed_parameters"/>
<map_variables variable_2="dG_C3op" variable_1="dG_C3op"/>
<map_variables variable_2="dG_H" variable_1="dG_H"/>
<map_variables variable_2="RT" variable_1="RT"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="J_C4" component_1="fixed_parameters"/>
<map_variables variable_2="dG_C4op" variable_1="dG_C4op"/>
<map_variables variable_2="dG_H" variable_1="dG_H"/>
<map_variables variable_2="RT" variable_1="RT"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="C_tot" variable_1="C_tot"/>
</connection>
<connection>
<map_components component_2="J_F1" component_1="fixed_parameters"/>
<map_variables variable_2="dG_F1o" variable_1="dG_F1o"/>
<map_variables variable_2="dG_H" variable_1="dG_H"/>
<map_variables variable_2="RT" variable_1="RT"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="n_A" variable_1="n_A"/>
<map_variables variable_2="K_DD" variable_1="K_DD"/>
<map_variables variable_2="K_DT" variable_1="K_DT"/>
</connection>
<connection>
<map_components component_2="ddeltaPsi_dt" component_1="fixed_parameters"/>
<map_variables variable_2="deltaPsi" variable_1="deltaPsi"/>
<map_variables variable_2="n_A" variable_1="n_A"/>
</connection>
<connection>
<map_components component_2="dH_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="H_x" variable_1="H_x"/>
<map_variables variable_2="n_A" variable_1="n_A"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dH_x_dt" component_1="adjustable_parameters"/>
<map_variables variable_2="beta" variable_1="beta"/>
</connection>
<connection>
<map_components component_2="dK_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dMg_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dNADH_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dQ_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dCox_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dATP_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dATP_mx_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dADP_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dADP_mx_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dPI_x_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_x" variable_1="W_x"/>
</connection>
<connection>
<map_components component_2="dATP_i_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dADP_i_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dAMP_i_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dATP_mi_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dADP_mi_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dPI_i_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dMg_i_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_i" variable_1="W_i"/>
</connection>
<connection>
<map_components component_2="dATP_c_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
<map_variables variable_2="Rm_cyto" variable_1="Rm_cyto"/>
<map_variables variable_2="Rc_cell" variable_1="Rc_cell"/>
</connection>
<connection>
<map_components component_2="dADP_c_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
<map_variables variable_2="Rm_cyto" variable_1="Rm_cyto"/>
<map_variables variable_2="Rc_cell" variable_1="Rc_cell"/>
</connection>
<connection>
<map_components component_2="dAMP_c_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
<map_variables variable_2="Rm_cyto" variable_1="Rm_cyto"/>
</connection>
<connection>
<map_components component_2="dATP_mc_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
</connection>
<connection>
<map_components component_2="dADP_mc_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
</connection>
<connection>
<map_components component_2="dPI_c_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
<map_variables variable_2="Rm_cyto" variable_1="Rm_cyto"/>
<map_variables variable_2="Rc_cell" variable_1="Rc_cell"/>
</connection>
<connection>
<map_components component_2="dMg_c_dt" component_1="fixed_parameters"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
</connection>
<connection>
<map_components component_2="ddeltaPsi_dt" component_1="adjustable_parameters"/>
<map_variables variable_2="C_IM" variable_1="C_IM"/>
</connection>
<connection>
<map_components component_2="fixed_parameters" component_1="dNAD_x_dt"/>
<map_variables variable_2="NAD_tot" variable_1="NAD_tot"/>
</connection>
<connection>
<map_components component_2="dNADH_x_dt" component_1="dNAD_x_dt"/>
<map_variables variable_2="NADH_x" variable_1="NADH_x"/>
</connection>
<connection>
<map_components component_2="fixed_parameters" component_1="dQH2_x_dt"/>
<map_variables variable_2="Q_tot" variable_1="Q_tot"/>
</connection>
<connection>
<map_components component_2="dQ_x_dt" component_1="dQH2_x_dt"/>
<map_variables variable_2="Q_x" variable_1="Q_x"/>
</connection>
<connection>
<map_components component_2="fixed_parameters" component_1="dCred_x_dt"/>
<map_variables variable_2="C_tot" variable_1="C_tot"/>
</connection>
<connection>
<map_components component_2="dCox_x_dt" component_1="dCred_x_dt"/>
<map_variables variable_2="Cox_x" variable_1="Cox_x"/>
</connection>
<connection>
<map_components component_2="dATP_x_dt" component_1="dATP_fx_dt"/>
<map_variables variable_2="ATP_x" variable_1="ATP_x"/>
</connection>
<connection>
<map_components component_2="dATP_mx_dt" component_1="dATP_fx_dt"/>
<map_variables variable_2="ATP_mx" variable_1="ATP_mx"/>
</connection>
<connection>
<map_components component_2="dADP_x_dt" component_1="dADP_fx_dt"/>
<map_variables variable_2="ADP_x" variable_1="ADP_x"/>
</connection>
<connection>
<map_components component_2="dADP_mx_dt" component_1="dADP_fx_dt"/>
<map_variables variable_2="ADP_mx" variable_1="ADP_mx"/>
</connection>
<connection>
<map_components component_2="dATP_i_dt" component_1="dATP_fi_dt"/>
<map_variables variable_2="ATP_i" variable_1="ATP_i"/>
</connection>
<connection>
<map_components component_2="dATP_mi_dt" component_1="dATP_fi_dt"/>
<map_variables variable_2="ATP_mi" variable_1="ATP_mi"/>
</connection>
<connection>
<map_components component_2="dADP_i_dt" component_1="dADP_fi_dt"/>
<map_variables variable_2="ADP_i" variable_1="ADP_i"/>
</connection>
<connection>
<map_components component_2="dADP_mi_dt" component_1="dADP_fi_dt"/>
<map_variables variable_2="ADP_mi" variable_1="ADP_mi"/>
</connection>
<connection>
<map_components component_2="dATP_c_dt" component_1="dATP_fc_dt"/>
<map_variables variable_2="ATP_c" variable_1="ATP_c"/>
</connection>
<connection>
<map_components component_2="dATP_mc_dt" component_1="dATP_fc_dt"/>
<map_variables variable_2="ATP_mc" variable_1="ATP_mc"/>
</connection>
<connection>
<map_components component_2="dADP_c_dt" component_1="dADP_fc_dt"/>
<map_variables variable_2="ADP_c" variable_1="ADP_c"/>
</connection>
<connection>
<map_components component_2="dADP_mc_dt" component_1="dADP_fc_dt"/>
<map_variables variable_2="ADP_mc" variable_1="ADP_mc"/>
</connection>
<connection>
<map_components component_2="J_ANT" component_1="dAMP_i_dt"/>
<map_variables variable_2="J_ANT" variable_1="J_ANT"/>
</connection>
<connection>
<map_components component_2="fixed_parameters" component_1="dPCr_c_dt"/>
<map_variables variable_2="W_c" variable_1="W_c"/>
</connection>
<connection>
<map_components component_2="dCr_c_dt" component_1="dPCr_c_dt"/>
<map_variables variable_2="PCr_c" variable_1="PCr_c"/>
</connection>
<connection>
<map_components component_2="fixed_parameters" component_1="dCr_c_dt"/>
<map_variables variable_2="CR_tot" variable_1="CR_tot"/>
</connection>
<connection>
<map_components component_2="adjustable_parameters" component_1="J_DH"/>
<map_variables variable_2="X_DH" variable_1="X_DH"/>
<map_variables variable_2="r" variable_1="r"/>
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