<?xml version="1.0"?>
<!--
This CellML file was generated on 2/11/2009 at 12:38:06 at p.m. using:
COR (0.9.31.1329)
Copyright 2002-2009 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk
CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="wu_jeneson_beard_2006" name="wu_jeneson_beard_2006">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Oxidative ATP Synthesis in Skeletal Muscle is Controlled by Substrate Feedback</title>
<author>
<firstname>Geoffrey</firstname>
<surname>Nunns</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This CellML version of the model runs in OpenCell and COR to reproduce the original matlab code, which it has been based off. The units are consistent throughout. </para>
</section>
<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>Oxidative ATP Synthesis in Skeletal Muscle is Controlled by Substrate Feedback, Fan Wu, Jeroen A.L. Jeneson, Daniel A. Beard, 2006, <emphasis>American Journal of Physiology - Cell Physiology</emphasis>, 292, C115-24 <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">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="wu_2006.png"/>
</imageobject>
</mediaobject>
<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>
</informalfigure>
</sect1>
</article>
</documentation>
<units base_units="yes" name="cell"/>
<units base_units="yes" name="cytoplasm"/>
<units base_units="yes" name="mitochondria"/>
<units name="cyto_per_cell">
<unit units="cytoplasm"/>
<unit exponent="-1" units="cell"/>
</units>
<units name="mito_per_cell">
<unit units="mitochondria"/>
<unit exponent="-1" units="cell"/>
</units>
<units name="mito_per_cyto">
<unit units="mitochondria"/>
<unit exponent="-1" units="cytoplasm"/>
</units>
<units name="l_cyto_per_l_mito">
<unit units="cytoplasm"/>
<unit exponent="-1" units="mitochondria"/>
</units>
<units name="l_water_per_l_mito">
<unit exponent="-1" units="mitochondria"/>
</units>
<units name="l_water_per_l_cyto">
<unit exponent="-1" units="cytoplasm"/>
</units>
<units name="molar">
<unit units="mole"/>
<unit exponent="-1" units="liter"/>
</units>
<units name="molar_per_second">
<unit units="molar"/>
<unit exponent="-1" units="second"/>
</units>
<units name="micromolar">
<unit prefix="micro" units="molar"/>
</units>
<units name="per_molar">
<unit exponent="-1" units="molar"/>
</units>
<units name="micron_per_second">
<unit prefix="-6" units="metre"/>
<unit exponent="-1" units="second"/>
<unit exponent="-1" units="mitochondria"/>
</units>
<units name="per_micron">
<unit exponent="-1" prefix="-6" units="metre"/>
</units>
<units name="kilojoule_per_mole">
<unit prefix="kilo" units="joule"/>
<unit exponent="-1" units="mole"/>
</units>
<units name="millivolt">
<unit prefix="milli" units="volt"/>
</units>
<units name="kilojoule_per_mole_per_millivolt">
<unit units="kilojoule_per_mole"/>
<unit exponent="-1" units="millivolt"/>
</units>
<units name="molar_per_cell">
<unit units="mole"/>
<unit exponent="-1" units="liter"/>
<unit exponent="-1" units="cell"/>
</units>
<units name="molar_per_cyto">
<unit units="mole"/>
<unit exponent="-1" units="liter"/>
<unit exponent="-1" units="cytoplasm"/>
</units>
<units name="molar_per_mito">
<unit units="mole"/>
<unit exponent="-1" units="liter"/>
<unit exponent="-1" units="mitochondria"/>
</units>
<units name="mole_per_second_per_l_cell">
<unit units="molar_per_cell"/>
<unit exponent="-1" units="second"/>
</units>
<units name="mole_per_second_per_l_cyto">
<unit units="molar_per_cyto"/>
<unit exponent="-1" units="second"/>
</units>
<units name="mole_per_second_per_l_mito">
<unit units="molar_per_mito"/>
<unit exponent="-1" units="second"/>
</units>
<units name="mole_per_second_per_l_mito_per_molar">
<unit units="mole_per_second_per_l_mito"/>
<unit exponent="-1" units="molar"/>
</units>
<units name="mole_per_second_per_l_cyto_per_molar">
<unit units="mole_per_second_per_l_cyto"/>
<unit exponent="-1" units="molar"/>
</units>
<units name="mole_per_second_per_l_mito_per_molar_per_half_molar">
<unit units="mole_per_second_per_l_mito_per_molar"/>
<unit exponent="-0.5" units="molar"/>
</units>
<units name="mole_per_second_per_l_mito_per_molar_per_molar">
<unit units="mole_per_second_per_l_mito_per_molar"/>
<unit exponent="-1" units="molar"/>
</units>
<units name="mole_per_second_per_l_cyto_per_molar_per_molar">
<unit units="mole_per_second_per_l_cyto"/>
<unit exponent="-2" units="molar"/>
</units>
<units name="mole_per_l_mito_per_millivolt">
<unit units="molar_per_mito"/>
<unit exponent="-1" units="millivolt"/>
</units>
<units name="mole_per_second_per_l_mito_per_molar_per_millivolt">
<unit units="mole_per_second_per_l_mito_per_molar"/>
<unit exponent="-1" units="millivolt"/>
</units>
<component name="Environment">
<variable cmeta:id="Environment_time" name="time" public_interface="out" units="second"/>
<variable initial_value="3.48e-5" name="O2_x" public_interface="out" units="molar"/>
<variable initial_value="0e-4" name="X_AtC" public_interface="out" units="mole_per_second_per_l_cell"/>
</component>
<component name="fixed_parameters">
<variable initial_value="2.5775" name="RT" public_interface="out" units="kilojoule_per_mole"/>
<variable initial_value="0.096484" name="F" public_interface="out" units="kilojoule_per_mole_per_millivolt"/>
<variable initial_value="-69.37" name="dG_C1o" units="kilojoule_per_mole"/>
<variable initial_value="-32.53" name="dG_C3o" units="kilojoule_per_mole"/>
<variable initial_value="-122.94" name="dG_C4o" units="kilojoule_per_mole"/>
<variable name="dG_C1op" public_interface="out" units="kilojoule_per_mole"/>
<variable name="dG_C3op" public_interface="out" units="kilojoule_per_mole"/>
<variable name="dG_C4op" public_interface="out" units="kilojoule_per_mole"/>
<variable initial_value="36.03" name="dG_F1o" public_interface="out" units="kilojoule_per_mole"/>
<variable name="dG_H" public_interface="out" units="kilojoule_per_mole"/>
<variable name="k_dHPI" public_interface="out" units="molar"/>
<variable name="k_dHatp" public_interface="out" units="molar"/>
<variable name="k_dHadp" public_interface="out" units="molar"/>
<variable initial_value="24e-6" name="K_DT" public_interface="out" units="molar"/>
<variable initial_value="347e-6" name="K_DD" public_interface="out" units="molar"/>
<variable initial_value="0.4331" name="K_AK" public_interface="out" units="dimensionless"/>
<variable initial_value="1.66e9" name="K_CK" public_interface="out" units="per_molar"/>
<variable name="W_m" public_interface="out" units="l_water_per_l_mito"/>
<variable name="W_c" public_interface="out" units="l_water_per_l_cyto"/>
<variable name="W_x" public_interface="out" units="l_water_per_l_mito"/>
<variable name="W_i" public_interface="out" units="l_water_per_l_mito"/>
<variable initial_value="0.894" name="V_cyto" public_interface="out" units="cyto_per_cell"/>
<variable initial_value="0.056" name="V_mito" public_interface="out" units="mito_per_cell"/>
<variable name="Rm_cyto" public_interface="out" units="mito_per_cyto"/>
<variable name="Rm_cell" public_interface="out" units="mito_per_cell"/>
<variable name="Rc_cell" public_interface="out" units="cyto_per_cell"/>
<variable initial_value="3" name="n_A" public_interface="out" units="dimensionless"/>
<variable initial_value="2.7e-3" name="C_tot" public_interface="out" units="molar"/>
<variable initial_value="42.7e-3" name="CR_tot" public_interface="out" units="molar"/>
<variable initial_value="1.35e-3" name="Q_tot" public_interface="out" units="molar"/>
<variable initial_value="2.97e-3" name="NAD_tot" public_interface="out" units="molar"/>
<variable initial_value="7" name="pH_C" units="dimensionless"/>
<variable name="H_c" public_interface="out" units="molar"/>
<variable initial_value="0.15" name="K_c" public_interface="out" units="molar"/>
<variable name="H_i" public_interface="out" units="molar"/>
<variable name="K_i" public_interface="out" units="molar"/>
<variable name="H_x" public_interface="in" units="molar"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>H_c</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
<apply>
<power/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_C</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_dHPI</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
<apply>
<power/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">6.75</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_dHatp</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
<apply>
<power/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">6.48</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k_dHadp</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
<apply>
<power/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">6.29</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>W_m</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.664</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="l_water_per_l_mito">1.09</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>W_x</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.9</cn>
<ci>W_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>W_i</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
<ci>W_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>W_c</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.807</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="l_water_per_l_cyto">1.044</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>H_i</ci>
<ci>H_c</ci>
</apply>
<apply>
<eq/>
<ci>K_i</ci>
<ci>K_c</ci>
</apply>
<apply>
<eq/>
<ci>Rm_cyto</ci>
<apply>
<divide/>
<ci>V_mito</ci>
<ci>V_cyto</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Rm_cell</ci>
<ci>V_mito</ci>
</apply>
<apply>
<eq/>
<ci>Rc_cell</ci>
<ci>V_cyto</ci>
</apply>
<apply>
<eq/>
<ci>dG_H</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
<apply>
<times/>
<ci>RT</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>H_i</ci>
<ci>H_x</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dG_C1op</ci>
<apply>
<minus/>
<ci>dG_C1o</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>RT</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>H_x</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="molar">1 <sep/>
-7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dG_C3op</ci>
<apply>
<plus/>
<ci>dG_C3o</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>RT</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>H_x</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="molar">1 <sep/>
-7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dG_C4op</ci>
<apply>
<minus/>
<ci>dG_C4o</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>RT</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>H_x</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="molar">1 <sep/>
-7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="adjustable_parameters">
<variable initial_value="0.1553e-3" name="k_PI1" public_interface="out" units="molar"/>
<variable initial_value="0.8222e-3" name="k_PI2" public_interface="out" units="molar"/>
<variable initial_value="0.3601e-3" name="k_PI3" public_interface="out" units="molar"/>
<variable initial_value="5.651e-3" name="k_PI4" public_interface="out" units="molar"/>
<variable initial_value="2.542e-4" name="k_PIH" public_interface="out" units="molar"/>
<variable initial_value="4.559" name="r" public_interface="out" units="dimensionless"/>
<variable initial_value="0.0866" name="X_DH" public_interface="out" units="mole_per_second_per_l_mito_per_molar"/>
<variable initial_value="4.405e3" name="X_C1" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable initial_value="4.887" name="X_C3" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_half_molar"/>
<variable initial_value="6.766e-5" name="X_C4" public_interface="out" units="mole_per_second_per_l_mito_per_molar"/>
<variable initial_value="1e3" name="X_F1" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable initial_value="8.123e-3" name="X_ANT" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable initial_value="3.85e5" name="X_PI1" public_interface="out" units="mole_per_second_per_l_mito_per_molar"/>
<variable initial_value="5.651e7" name="X_KH" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable initial_value="200" name="X_Hle" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_millivolt"/>
<variable initial_value="0" name="X_K" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_millivolt"/>
<variable initial_value="3.5e-6" name="k_mADP" public_interface="out" units="molar"/>
<variable cmeta:id="adjustable_parameters_X_AK" initial_value="1e7" name="X_AK" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable cmeta:id="adjustable_parameters_X_CK" initial_value="1e7" name="X_CK" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable initial_value="1e7" name="X_MgA" public_interface="out" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable initial_value="1.2e-4" name="k_O2" public_interface="out" units="molar"/>
<variable initial_value="100" name="x_buff" public_interface="out" units="per_molar"/>
<variable initial_value="6.75e-6" name="C_IM" public_interface="out" units="mole_per_l_mito_per_millivolt"/>
<variable initial_value="85" name="X_A" public_interface="out" units="micron_per_second"/>
<variable initial_value="327" name="X_PI2" public_interface="out" units="micron_per_second"/>
<variable initial_value="5.99" name="gamma" public_interface="out" units="per_micron"/>
</component>
<component name="dNAD_x_dt">
<variable name="NAD_x" public_interface="out" units="molar"/>
<variable name="NAD_tot" public_interface="in" units="molar"/>
<variable name="NADH_x" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>NAD_x</ci>
<apply>
<minus/>
<ci>NAD_tot</ci>
<ci>NADH_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dQH2_x_dt">
<variable cmeta:id="dQH2_x_dt_QH2_x" name="QH2_x" public_interface="out" units="molar"/>
<variable name="Q_tot" public_interface="in" units="molar"/>
<variable name="Q_x" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>QH2_x</ci>
<apply>
<minus/>
<ci>Q_tot</ci>
<ci>Q_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dCred_x_dt">
<variable name="Cred_x" public_interface="out" units="molar"/>
<variable name="C_tot" public_interface="in" units="molar"/>
<variable name="Cox_x" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Cred_x</ci>
<apply>
<minus/>
<ci>C_tot</ci>
<ci>Cox_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_fx_dt">
<variable name="ATP_fx" public_interface="out" units="molar"/>
<variable name="ATP_x" public_interface="in" units="molar"/>
<variable name="ATP_mx" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ATP_fx</ci>
<apply>
<minus/>
<ci>ATP_x</ci>
<ci>ATP_mx</ci>
</apply>
</apply>
</math>
</component>
<component name="dADP_fx_dt">
<variable name="ADP_fx" public_interface="out" units="molar"/>
<variable name="ADP_x" public_interface="in" units="molar"/>
<variable name="ADP_mx" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ADP_fx</ci>
<apply>
<minus/>
<ci>ADP_x</ci>
<ci>ADP_mx</ci>
</apply>
</apply>
</math>
</component>
<component name="dH_x_dt">
<variable initial_value="7" name="pH_x" public_interface="out" units="dimensionless"/>
<variable cmeta:id="dH_x_dt_H_x" name="H_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="n_A" public_interface="in" units="dimensionless"/>
<variable name="x_buff" public_interface="in" units="per_molar"/>
<variable name="J_DH" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C3" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C4" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_F1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_PI1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_KH" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_Hle" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>H_x</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
<apply>
<power/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">10</cn>
<apply>
<minus/>
<ci>pH_x</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>pH_x</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2.303</cn>
</apply>
<ci>x_buff</ci>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>J_DH</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">5</cn>
<ci>J_C1</ci>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>J_C3</ci>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
<ci>J_C4</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>n_A</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<ci>J_F1</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>J_PI1</ci>
</apply>
</apply>
<ci>J_KH</ci>
</apply>
<ci>J_Hle</ci>
</apply>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dK_x_dt">
<variable initial_value="0.14661" name="K_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_K" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_KH" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="1.0229e-3" name="Mg_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgATP_x" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_MgADP_x" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0015723" name="NADH_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_DH" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 cmeta:id="dQ_x_dt_Q_x" initial_value="6.75e-4" name="Q_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_C1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C3" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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/>
<apply>
<minus/>
<ci>J_C1</ci>
<ci>J_C3</ci>
</apply>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dCox_x_dt">
<variable initial_value="1.35e-3" name="Cox_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_C3" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C4" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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>
<minus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>J_C3</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>J_C4</ci>
</apply>
</apply>
</apply>
<ci>W_x</ci>
</apply>
</apply>
</math>
</component>
<component name="dATP_x_dt">
<variable initial_value="0.0026657" name="ATP_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_F1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0073343" name="ADP_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_F1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0026046" name="ATP_mx" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgATP_x" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0054765" name="ADP_mx" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgADP_x" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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 cmeta:id="dPI_x_dt_PI_x" initial_value="1.72e-4" name="PI_x" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_F1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_PI1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_x" public_interface="in" units="l_water_per_l_mito"/>
<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>
<plus/>
<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 name="ATP_fi" public_interface="out" units="molar"/>
<variable name="ATP_i" public_interface="in" units="molar"/>
<variable name="ATP_mi" public_interface="in" units="molar"/>
<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 name="ADP_fi" public_interface="out" units="molar"/>
<variable name="ADP_i" public_interface="in" units="molar"/>
<variable name="ADP_mi" public_interface="in" units="molar"/>
<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 initial_value="0.0065339" name="ATP_i" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_ATP" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AKi" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="6.5773e-5" name="ADP_i" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_ADP" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AKi" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="2.8837e-7" name="AMP_i" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_AMP" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AKi" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0063812" name="ATP_mi" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgATP_i" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="4.8866e-5" name="ADP_mi" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgADP_i" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="1.72e-4" name="PI_i" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_PI1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_PI2" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0010029" name="Mg_i" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgATP_i" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_MgADP_i" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="W_i" public_interface="in" units="l_water_per_l_mito"/>
<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 initial_value="0.0081312" name="ATP_c" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_ATP" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AKc" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="J_AtC" public_interface="in" units="mole_per_second_per_l_cell"/>
<variable name="J_CKc" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<variable name="Rm_cyto" public_interface="in" units="mito_per_cyto"/>
<variable name="Rc_cell" public_interface="in" units="cyto_per_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 initial_value="6.85e-5" name="ADP_c" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_ADP" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AKc" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="J_AtC" public_interface="in" units="mole_per_second_per_l_cell"/>
<variable name="J_CKc" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<variable name="Rm_cyto" public_interface="in" units="mito_per_cyto"/>
<variable name="Rc_cell" public_interface="in" units="cyto_per_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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 initial_value="3.0911e-7" name="AMP_c" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_AMP" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AKc" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<variable name="Rm_cyto" public_interface="in" units="mito_per_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 initial_value="0.0079786" name="ATP_mc" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgATP_c" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<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 initial_value="5.1958e-5" name="ADP_mc" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgADP_c" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<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 initial_value="8.7702e-3" name="PI_c" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_PI2" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_AtC" public_interface="in" units="mole_per_second_per_l_cell"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<variable name="Rm_cyto" public_interface="in" units="mito_per_cyto"/>
<variable name="Rc_cell" public_interface="in" units="cyto_per_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 initial_value="0.001003" name="Mg_c" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_MgATP_c" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="J_MgADP_c" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<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_MgADP_c</ci>
</apply>
<ci>W_c</ci>
</apply>
</apply>
</math>
</component>
<component name="dPCr_c_dt">
<variable initial_value="23.589e-3" name="PCr_c" public_interface="out" units="molar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_CKc" public_interface="in" units="mole_per_second_per_l_cyto"/>
<variable name="W_c" public_interface="in" units="l_water_per_l_cyto"/>
<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 name="ATP_fc" public_interface="out" units="molar"/>
<variable name="ATP_c" public_interface="in" units="molar"/>
<variable name="ATP_mc" public_interface="in" units="molar"/>
<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 name="ADP_fc" public_interface="out" units="molar"/>
<variable name="ADP_c" public_interface="in" units="molar"/>
<variable name="ADP_mc" public_interface="in" units="molar"/>
<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 name="Cr_c" public_interface="out" units="molar"/>
<variable name="CR_tot" public_interface="in" units="molar"/>
<variable name="PCr_c" public_interface="in" units="molar"/>
<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 initial_value="166.67" name="deltaPsi" public_interface="out" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="J_C1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C3" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_C4" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_F1" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_Hle" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="J_K" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="n_A" public_interface="in" units="dimensionless"/>
<variable name="C_IM" public_interface="in" units="mole_per_l_mito_per_millivolt"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
<ci>J_C1</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>J_C3</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 name="J_DH" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_DH" public_interface="in" units="mole_per_second_per_l_mito_per_molar"/>
<variable name="r" public_interface="in" units="dimensionless"/>
<variable name="NAD_x" public_interface="in" units="molar"/>
<variable name="NADH_x" public_interface="in" units="molar"/>
<variable name="PI_x" public_interface="in" units="molar"/>
<variable name="k_PI1" public_interface="in" units="molar"/>
<variable name="k_PI2" public_interface="in" units="molar"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>PI_x</ci>
<ci>k_PI1</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="J_C1_J_C1" name="J_C1" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_C1" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="NAD_x" public_interface="in" units="molar"/>
<variable name="NADH_x" public_interface="in" units="molar"/>
<variable name="Q_x" public_interface="in" units="molar"/>
<variable name="QH2_x" public_interface="in" units="molar"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable name="k_PI1" public_interface="in" units="molar"/>
<variable name="k_PI2" public_interface="in" units="molar"/>
<variable name="dG_C1op" public_interface="in" units="kilojoule_per_mole"/>
<variable name="dG_H" public_interface="in" units="kilojoule_per_mole"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="J_C3_J_C3" name="J_C3" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_C3" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_half_molar"/>
<variable name="Cox_x" public_interface="in" units="molar"/>
<variable name="Cred_x" public_interface="in" units="molar"/>
<variable name="Q_x" public_interface="in" units="molar"/>
<variable name="QH2_x" public_interface="in" units="molar"/>
<variable name="PI_x" public_interface="in" units="molar"/>
<variable name="F" public_interface="in" units="kilojoule_per_mole_per_millivolt"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<variable name="k_PI3" public_interface="in" units="molar"/>
<variable name="k_PI4" public_interface="in" units="molar"/>
<variable name="dG_C3op" public_interface="in" units="kilojoule_per_mole"/>
<variable name="dG_H" public_interface="in" units="kilojoule_per_mole"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>PI_x</ci>
<ci>k_PI3</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
<ci>dG_H</ci>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>deltaPsi</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="J_C4_J_C4" name="J_C4" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_C4" public_interface="in" units="mole_per_second_per_l_mito_per_molar"/>
<variable name="C_tot" public_interface="in" units="molar"/>
<variable name="Cred_x" public_interface="in" units="molar"/>
<variable name="Cox_x" public_interface="in" units="molar"/>
<variable name="O2_x" public_interface="in" units="molar"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable name="F" public_interface="in" units="kilojoule_per_mole_per_millivolt"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<variable name="k_O2" public_interface="in" units="molar"/>
<variable name="dG_C4op" public_interface="in" units="kilojoule_per_mole"/>
<variable name="dG_H" public_interface="in" units="kilojoule_per_mole"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_C4</ci>
<piecewise>
<piece>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mole_per_second_per_l_mito">0</cn>
<apply>
<lt/>
<ci>O2_x</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="molar">1 <sep/>
-12</cn>
</apply>
</piece>
<otherwise>
<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>
<apply>
<divide/>
<ci>Cred_x</ci>
<ci>C_tot</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>dG_C4op</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>dG_H</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>RT</ci>
</apply>
</apply>
</apply>
<ci>Cred_x</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>O2_x</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="J_F1_J_F1" name="J_F1" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_F1" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ATP_mx" public_interface="in" units="molar"/>
<variable name="ADP_mx" public_interface="in" units="molar"/>
<variable name="PI_x" public_interface="in" units="molar"/>
<variable name="n_A" public_interface="in" units="dimensionless"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<variable name="F" public_interface="in" units="kilojoule_per_mole_per_millivolt"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable name="K_DD" public_interface="in" units="molar"/>
<variable name="K_DT" public_interface="in" units="molar"/>
<variable name="dG_F1o" public_interface="in" units="kilojoule_per_mole"/>
<variable name="dG_H" public_interface="in" units="kilojoule_per_mole"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="molar">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_ANT">
<variable cmeta:id="J_ANT_J_ANT" name="J_ANT" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable initial_value="1e-9" name="mincon" units="molar"/>
<variable name="X_ANT" public_interface="in" units="mole_per_second_per_l_mito"/>
<variable name="ATP_fx" public_interface="in" units="molar"/>
<variable name="ADP_fx" public_interface="in" units="molar"/>
<variable name="ATP_fi" public_interface="in" units="molar"/>
<variable name="ADP_fi" public_interface="in" units="molar"/>
<variable name="k_mADP" public_interface="in" units="molar"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<variable name="F" public_interface="in" units="kilojoule_per_mole_per_millivolt"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable name="Psi_x" units="millivolt"/>
<variable name="Psi_i" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Psi_x</ci>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.65</cn>
</apply>
<ci>deltaPsi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Psi_i</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.35</cn>
<ci>deltaPsi</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_ANT</ci>
<piecewise>
<piece>
<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>
<apply>
<divide/>
<ci>ADP_fi</ci>
<apply>
<plus/>
<ci>ADP_fi</ci>
<ci>k_mADP</ci>
</apply>
</apply>
</apply>
<apply>
<or/>
<apply>
<gt/>
<ci>ADP_fi</ci>
<ci>mincon</ci>
</apply>
<apply>
<gt/>
<ci>ATP_fi</ci>
<ci>mincon</ci>
</apply>
</apply>
</piece>
<otherwise>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mole_per_second_per_l_mito">0</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="J_PI1">
<variable cmeta:id="J_PI1_J_PI1" name="J_PI1" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="PI_i" public_interface="in" units="molar"/>
<variable name="PI_x" public_interface="in" units="molar"/>
<variable name="H_i" public_interface="in" units="molar"/>
<variable name="H_x" public_interface="in" units="molar"/>
<variable name="k_dHPI" public_interface="in" units="molar"/>
<variable name="k_PIH" public_interface="in" units="molar"/>
<variable name="H2PIi" public_interface="out" units="molar"/>
<variable name="H2PIx" public_interface="out" units="molar"/>
<variable name="X_PI1" public_interface="in" units="mole_per_second_per_l_mito_per_molar"/>
<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 name="J_Hle" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_Hle" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_millivolt"/>
<variable name="PI_i" public_interface="in" units="molar"/>
<variable name="PI_x" public_interface="in" units="molar"/>
<variable name="H_i" public_interface="in" units="molar"/>
<variable name="H_x" public_interface="in" units="molar"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<variable name="F" public_interface="in" units="kilojoule_per_mole_per_millivolt"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable initial_value="1e-6" name="mincond" units="millivolt"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="J_KH_J_KH" name="J_KH" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="K_x" public_interface="in" units="molar"/>
<variable name="K_i" public_interface="in" units="molar"/>
<variable name="H_x" public_interface="in" units="molar"/>
<variable name="H_i" public_interface="in" units="molar"/>
<variable name="X_KH" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<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 name="J_K" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="K_x" public_interface="in" units="molar"/>
<variable name="K_i" public_interface="in" units="molar"/>
<variable name="X_K" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_millivolt"/>
<variable name="deltaPsi" public_interface="in" units="millivolt"/>
<variable name="F" public_interface="in" units="kilojoule_per_mole_per_millivolt"/>
<variable name="RT" public_interface="in" units="kilojoule_per_mole"/>
<variable initial_value="1e-6" name="mincond" units="millivolt"/>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 cmeta:id="J_AMP_J_AMP" name="J_AMP" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="AMP_c" public_interface="in" units="molar"/>
<variable name="AMP_i" public_interface="in" units="molar"/>
<variable name="gamma" public_interface="in" units="per_micron"/>
<variable name="X_A" public_interface="in" units="micron_per_second"/>
<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 cmeta:id="J_ADP_J_ADP" name="J_ADP" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="ADP_c" public_interface="in" units="molar"/>
<variable name="ADP_i" public_interface="in" units="molar"/>
<variable name="gamma" public_interface="in" units="per_micron"/>
<variable name="X_A" public_interface="in" units="micron_per_second"/>
<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 cmeta:id="J_ATP_J_ATP" name="J_ATP" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="ATP_c" public_interface="in" units="molar"/>
<variable name="ATP_i" public_interface="in" units="molar"/>
<variable name="gamma" public_interface="in" units="per_micron"/>
<variable name="X_A" public_interface="in" units="micron_per_second"/>
<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 name="J_PI2" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="PI_c" public_interface="in" units="molar"/>
<variable name="PI_i" public_interface="in" units="molar"/>
<variable name="gamma" public_interface="in" units="per_micron"/>
<variable name="X_PI2" public_interface="in" units="micron_per_second"/>
<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 name="J_MgATP_x" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_MgA" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ATP_fx" public_interface="in" units="molar"/>
<variable name="Mg_x" public_interface="in" units="molar"/>
<variable name="ATP_mx" public_interface="in" units="molar"/>
<variable name="K_DT" public_interface="in" units="molar"/>
<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 name="J_MgADP_x" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_MgA" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ADP_fx" public_interface="in" units="molar"/>
<variable name="Mg_x" public_interface="in" units="molar"/>
<variable name="ADP_mx" public_interface="in" units="molar"/>
<variable name="K_DD" public_interface="in" units="molar"/>
<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 name="J_MgATP_i" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_MgA" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ATP_fi" public_interface="in" units="molar"/>
<variable name="Mg_i" public_interface="in" units="molar"/>
<variable name="ATP_mi" public_interface="in" units="molar"/>
<variable name="K_DT" public_interface="in" units="molar"/>
<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 name="J_MgADP_i" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_MgA" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ADP_fi" public_interface="in" units="molar"/>
<variable name="Mg_i" public_interface="in" units="molar"/>
<variable name="ADP_mi" public_interface="in" units="molar"/>
<variable name="K_DD" public_interface="in" units="molar"/>
<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 name="J_MgATP_c" public_interface="out" units="mole_per_second_per_l_cyto"/>
<variable name="X_MgA" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ATP_fc" public_interface="in" units="molar"/>
<variable name="Mg_c" public_interface="in" units="molar"/>
<variable name="ATP_mc" public_interface="in" units="molar"/>
<variable name="K_DT" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgATP_c</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mito_per_cyto">1</cn>
<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 name="J_MgADP_c" public_interface="out" units="mole_per_second_per_l_cyto"/>
<variable name="X_MgA" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ADP_fc" public_interface="in" units="molar"/>
<variable name="Mg_c" public_interface="in" units="molar"/>
<variable name="ADP_mc" public_interface="in" units="molar"/>
<variable name="K_DD" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_MgADP_c</ci>
<apply>
<times/>
<ci>X_MgA</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mito_per_cyto">1</cn>
<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 name="J_AKi" public_interface="out" units="mole_per_second_per_l_mito"/>
<variable name="X_AK" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ATP_i" public_interface="in" units="molar"/>
<variable name="ADP_i" public_interface="in" units="molar"/>
<variable name="AMP_i" public_interface="in" units="molar"/>
<variable name="K_AK" public_interface="in" units="dimensionless"/>
<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 name="J_AKc" public_interface="out" units="mole_per_second_per_l_cyto"/>
<variable name="X_AK" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="ATP_c" public_interface="in" units="molar"/>
<variable name="ADP_c" public_interface="in" units="molar"/>
<variable name="AMP_c" public_interface="in" units="molar"/>
<variable name="K_AK" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_AKc</ci>
<apply>
<times/>
<ci>X_AK</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mito_per_cyto">1</cn>
<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 name="J_AtC" public_interface="out" units="mole_per_second_per_l_cell"/>
<variable name="X_AtC" public_interface="in" units="mole_per_second_per_l_cell"/>
<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 name="J_CKc" public_interface="out" units="mole_per_second_per_l_cyto"/>
<variable name="X_CK" public_interface="in" units="mole_per_second_per_l_mito_per_molar_per_molar"/>
<variable name="K_CK" public_interface="in" units="per_molar"/>
<variable name="ATP_c" public_interface="in" units="molar"/>
<variable name="ADP_c" public_interface="in" units="molar"/>
<variable name="H_c" public_interface="in" units="molar"/>
<variable name="PCr_c" public_interface="in" units="molar"/>
<variable name="Cr_c" public_interface="in" units="molar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_CKc</ci>
<apply>
<times/>
<ci>X_CK</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mito_per_cyto">1</cn>
<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_1="Environment" component_2="dH_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dK_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dMg_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dNADH_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dQ_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dCox_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dATP_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dADP_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dATP_mx_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dADP_mx_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dPI_x_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dATP_i_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dADP_i_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dATP_mi_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dADP_mi_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dAMP_i_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dPI_i_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dMg_i_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dATP_c_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dADP_c_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dAMP_c_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dATP_mc_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dADP_mc_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dPI_c_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dMg_c_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="dPCr_c_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="ddeltaPsi_dt"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="J_C4"/>
<map_variables variable_1="O2_x" variable_2="O2_x"/>
</connection>
<connection>
<map_components component_1="Environment" component_2="J_AtC"/>
<map_variables variable_1="X_AtC" variable_2="X_AtC"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_DH"/>
<map_variables variable_1="J_DH" variable_2="J_DH"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_C1"/>
<map_variables variable_1="J_C1" variable_2="J_C1"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_C3"/>
<map_variables variable_1="J_C3" variable_2="J_C3"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_C4"/>
<map_variables variable_1="J_C4" variable_2="J_C4"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_F1"/>
<map_variables variable_1="J_F1" variable_2="J_F1"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_PI1"/>
<map_variables variable_1="H_x" variable_2="H_x"/>
<map_variables variable_1="J_PI1" variable_2="J_PI1"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_Hle"/>
<map_variables variable_1="H_x" variable_2="H_x"/>
<map_variables variable_1="J_Hle" variable_2="J_Hle"/>
</connection>
<connection>
<map_components component_1="dH_x_dt" component_2="J_KH"/>
<map_variables variable_1="H_x" variable_2="H_x"/>
<map_variables variable_1="J_KH" variable_2="J_KH"/>
</connection>
<connection>
<map_components component_1="dK_x_dt" component_2="J_KH"/>
<map_variables variable_1="K_x" variable_2="K_x"/>
<map_variables variable_1="J_KH" variable_2="J_KH"/>
</connection>
<connection>
<map_components component_1="dK_x_dt" component_2="J_K"/>
<map_variables variable_1="K_x" variable_2="K_x"/>
<map_variables variable_1="J_K" variable_2="J_K"/>
</connection>
<connection>
<map_components component_1="dMg_x_dt" component_2="J_MgATP_x"/>
<map_variables variable_1="Mg_x" variable_2="Mg_x"/>
<map_variables variable_1="J_MgATP_x" variable_2="J_MgATP_x"/>
</connection>
<connection>
<map_components component_1="dMg_x_dt" component_2="J_MgADP_x"/>
<map_variables variable_1="Mg_x" variable_2="Mg_x"/>
<map_variables variable_1="J_MgADP_x" variable_2="J_MgADP_x"/>
</connection>
<connection>
<map_components component_1="dNADH_x_dt" component_2="J_DH"/>
<map_variables variable_1="NADH_x" variable_2="NADH_x"/>
<map_variables variable_1="J_DH" variable_2="J_DH"/>
</connection>
<connection>
<map_components component_1="dNADH_x_dt" component_2="J_C1"/>
<map_variables variable_1="NADH_x" variable_2="NADH_x"/>
<map_variables variable_1="J_C1" variable_2="J_C1"/>
</connection>
<connection>
<map_components component_1="dQ_x_dt" component_2="J_C1"/>
<map_variables variable_1="Q_x" variable_2="Q_x"/>
<map_variables variable_1="J_C1" variable_2="J_C1"/>
</connection>
<connection>
<map_components component_1="dQH2_x_dt" component_2="J_C1"/>
<map_variables variable_1="QH2_x" variable_2="QH2_x"/>
</connection>
<connection>
<map_components component_1="dQ_x_dt" component_2="J_C3"/>
<map_variables variable_1="Q_x" variable_2="Q_x"/>
<map_variables variable_1="J_C3" variable_2="J_C3"/>
</connection>
<connection>
<map_components component_1="dQH2_x_dt" component_2="J_C3"/>
<map_variables variable_1="QH2_x" variable_2="QH2_x"/>
</connection>
<connection>
<map_components component_1="dCox_x_dt" component_2="J_C3"/>
<map_variables variable_1="Cox_x" variable_2="Cox_x"/>
<map_variables variable_1="J_C3" variable_2="J_C3"/>
</connection>
<connection>
<map_components component_1="dCox_x_dt" component_2="J_C4"/>
<map_variables variable_1="Cox_x" variable_2="Cox_x"/>
<map_variables variable_1="J_C4" variable_2="J_C4"/>
</connection>
<connection>
<map_components component_1="dATP_mx_dt" component_2="J_F1"/>
<map_variables variable_1="ATP_mx" variable_2="ATP_mx"/>
</connection>
<connection>
<map_components component_1="dATP_x_dt" component_2="J_F1"/>
<map_variables variable_1="J_F1" variable_2="J_F1"/>
</connection>
<connection>
<map_components component_1="dATP_x_dt" component_2="J_ANT"/>
<map_variables variable_1="J_ANT" variable_2="J_ANT"/>
</connection>
<connection>
<map_components component_1="dADP_x_dt" component_2="J_F1"/>
<map_variables variable_1="J_F1" variable_2="J_F1"/>
</connection>
<connection>
<map_components component_1="dADP_mx_dt" component_2="J_F1"/>
<map_variables variable_1="ADP_mx" variable_2="ADP_mx"/>
</connection>
<connection>
<map_components component_1="dADP_x_dt" component_2="J_ANT"/>
<map_variables variable_1="J_ANT" variable_2="J_ANT"/>
</connection>
<connection>
<map_components component_1="dATP_mx_dt" component_2="J_MgATP_x"/>
<map_variables variable_1="ATP_mx" variable_2="ATP_mx"/>
<map_variables variable_1="J_MgATP_x" variable_2="J_MgATP_x"/>
</connection>
<connection>
<map_components component_1="dADP_mx_dt" component_2="J_MgADP_x"/>
<map_variables variable_1="ADP_mx" variable_2="ADP_mx"/>
<map_variables variable_1="J_MgADP_x" variable_2="J_MgADP_x"/>
</connection>
<connection>
<map_components component_1="dPI_x_dt" component_2="J_F1"/>
<map_variables variable_1="PI_x" variable_2="PI_x"/>
<map_variables variable_1="J_F1" variable_2="J_F1"/>
</connection>
<connection>
<map_components component_1="dPI_x_dt" component_2="J_PI1"/>
<map_variables variable_1="PI_x" variable_2="PI_x"/>
<map_variables variable_1="J_PI1" variable_2="J_PI1"/>
</connection>
<connection>
<map_components component_1="dATP_i_dt" component_2="J_ATP"/>
<map_variables variable_1="ATP_i" variable_2="ATP_i"/>
<map_variables variable_1="J_ATP" variable_2="J_ATP"/>
</connection>
<connection>
<map_components component_1="dATP_i_dt" component_2="J_ANT"/>
<map_variables variable_1="J_ANT" variable_2="J_ANT"/>
</connection>
<connection>
<map_components component_1="dATP_i_dt" component_2="J_AKi"/>
<map_variables variable_1="ATP_i" variable_2="ATP_i"/>
<map_variables variable_1="J_AKi" variable_2="J_AKi"/>
</connection>
<connection>
<map_components component_1="dADP_i_dt" component_2="J_ADP"/>
<map_variables variable_1="ADP_i" variable_2="ADP_i"/>
<map_variables variable_1="J_ADP" variable_2="J_ADP"/>
</connection>
<connection>
<map_components component_1="dADP_i_dt" component_2="J_ANT"/>
<map_variables variable_1="J_ANT" variable_2="J_ANT"/>
</connection>
<connection>
<map_components component_1="dADP_i_dt" component_2="J_AKi"/>
<map_variables variable_1="ADP_i" variable_2="ADP_i"/>
<map_variables variable_1="J_AKi" variable_2="J_AKi"/>
</connection>
<connection>
<map_components component_1="dAMP_i_dt" component_2="J_AMP"/>
<map_variables variable_1="AMP_i" variable_2="AMP_i"/>
<map_variables variable_1="J_AMP" variable_2="J_AMP"/>
</connection>
<connection>
<map_components component_1="dAMP_i_dt" component_2="J_AKi"/>
<map_variables variable_1="AMP_i" variable_2="AMP_i"/>
<map_variables variable_1="J_AKi" variable_2="J_AKi"/>
</connection>
<connection>
<map_components component_1="dATP_mi_dt" component_2="J_MgATP_i"/>
<map_variables variable_1="ATP_mi" variable_2="ATP_mi"/>
<map_variables variable_1="J_MgATP_i" variable_2="J_MgATP_i"/>
</connection>
<connection>
<map_components component_1="dADP_mi_dt" component_2="J_MgADP_i"/>
<map_variables variable_1="ADP_mi" variable_2="ADP_mi"/>
<map_variables variable_1="J_MgADP_i" variable_2="J_MgADP_i"/>
</connection>
<connection>
<map_components component_1="dPI_i_dt" component_2="J_PI1"/>
<map_variables variable_1="PI_i" variable_2="PI_i"/>
<map_variables variable_1="J_PI1" variable_2="J_PI1"/>
</connection>
<connection>
<map_components component_1="dPI_i_dt" component_2="J_PI2"/>
<map_variables variable_1="PI_i" variable_2="PI_i"/>
<map_variables variable_1="J_PI2" variable_2="J_PI2"/>
</connection>
<connection>
<map_components component_1="dMg_i_dt" component_2="J_MgATP_i"/>
<map_variables variable_1="Mg_i" variable_2="Mg_i"/>
<map_variables variable_1="J_MgATP_i" variable_2="J_MgATP_i"/>
</connection>
<connection>
<map_components component_1="dMg_i_dt" component_2="J_MgADP_i"/>
<map_variables variable_1="Mg_i" variable_2="Mg_i"/>
<map_variables variable_1="J_MgADP_i" variable_2="J_MgADP_i"/>
</connection>
<connection>
<map_components component_1="dATP_c_dt" component_2="J_ATP"/>
<map_variables variable_1="ATP_c" variable_2="ATP_c"/>
<map_variables variable_1="J_ATP" variable_2="J_ATP"/>
</connection>
<connection>
<map_components component_1="dATP_c_dt" component_2="J_AKc"/>
<map_variables variable_1="ATP_c" variable_2="ATP_c"/>
<map_variables variable_1="J_AKc" variable_2="J_AKc"/>
</connection>
<connection>
<map_components component_1="dATP_c_dt" component_2="J_AtC"/>
<map_variables variable_1="J_AtC" variable_2="J_AtC"/>
</connection>
<connection>
<map_components component_1="dATP_c_dt" component_2="J_CKc"/>
<map_variables variable_1="ATP_c" variable_2="ATP_c"/>
<map_variables variable_1="J_CKc" variable_2="J_CKc"/>
</connection>
<connection>
<map_components component_1="dADP_c_dt" component_2="J_ADP"/>
<map_variables variable_1="ADP_c" variable_2="ADP_c"/>
<map_variables variable_1="J_ADP" variable_2="J_ADP"/>
</connection>
<connection>
<map_components component_1="dADP_c_dt" component_2="J_AKc"/>
<map_variables variable_1="ADP_c" variable_2="ADP_c"/>
<map_variables variable_1="J_AKc" variable_2="J_AKc"/>
</connection>
<connection>
<map_components component_1="dADP_c_dt" component_2="J_AtC"/>
<map_variables variable_1="J_AtC" variable_2="J_AtC"/>
</connection>
<connection>
<map_components component_1="dADP_c_dt" component_2="J_CKc"/>
<map_variables variable_1="ADP_c" variable_2="ADP_c"/>
<map_variables variable_1="J_CKc" variable_2="J_CKc"/>
</connection>
<connection>
<map_components component_1="dAMP_c_dt" component_2="J_AMP"/>
<map_variables variable_1="AMP_c" variable_2="AMP_c"/>
<map_variables variable_1="J_AMP" variable_2="J_AMP"/>
</connection>
<connection>
<map_components component_1="dAMP_c_dt" component_2="J_AKc"/>
<map_variables variable_1="AMP_c" variable_2="AMP_c"/>
<map_variables variable_1="J_AKc" variable_2="J_AKc"/>
</connection>
<connection>
<map_components component_1="dATP_mc_dt" component_2="J_MgATP_c"/>
<map_variables variable_1="ATP_mc" variable_2="ATP_mc"/>
<map_variables variable_1="J_MgATP_c" variable_2="J_MgATP_c"/>
</connection>
<connection>
<map_components component_1="dADP_mc_dt" component_2="J_MgADP_c"/>
<map_variables variable_1="ADP_mc" variable_2="ADP_mc"/>
<map_variables variable_1="J_MgADP_c" variable_2="J_MgADP_c"/>
</connection>
<connection>
<map_components component_1="dPI_c_dt" component_2="J_PI2"/>
<map_variables variable_1="PI_c" variable_2="PI_c"/>
<map_variables variable_1="J_PI2" variable_2="J_PI2"/>
</connection>
<connection>
<map_components component_1="dPI_c_dt" component_2="J_AtC"/>
<map_variables variable_1="J_AtC" variable_2="J_AtC"/>
</connection>
<connection>
<map_components component_1="dMg_c_dt" component_2="J_MgATP_c"/>
<map_variables variable_1="Mg_c" variable_2="Mg_c"/>
<map_variables variable_1="J_MgATP_c" variable_2="J_MgATP_c"/>
</connection>
<connection>
<map_components component_1="dMg_c_dt" component_2="J_MgADP_c"/>
<map_variables variable_1="Mg_c" variable_2="Mg_c"/>
<map_variables variable_1="J_MgADP_c" variable_2="J_MgADP_c"/>
</connection>
<connection>
<map_components component_1="dPCr_c_dt" component_2="J_CKc"/>
<map_variables variable_1="PCr_c" variable_2="PCr_c"/>
<map_variables variable_1="J_CKc" variable_2="J_CKc"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_C1"/>
<map_variables variable_1="J_C1" variable_2="J_C1"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_C3"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="J_C3" variable_2="J_C3"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_C4"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="J_C4" variable_2="J_C4"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_F1"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="J_F1" variable_2="J_F1"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_ANT"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="J_ANT" variable_2="J_ANT"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_Hle"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="J_Hle" variable_2="J_Hle"/>
</connection>
<connection>
<map_components component_1="ddeltaPsi_dt" component_2="J_K"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="J_K" variable_2="J_K"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="J_C1"/>
<map_variables variable_1="dG_C1op" variable_2="dG_C1op"/>
<map_variables variable_1="dG_H" variable_2="dG_H"/>
<map_variables variable_1="RT" variable_2="RT"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="J_C3"/>
<map_variables variable_1="dG_C3op" variable_2="dG_C3op"/>
<map_variables variable_1="dG_H" variable_2="dG_H"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="J_C4"/>
<map_variables variable_1="dG_C4op" variable_2="dG_C4op"/>
<map_variables variable_1="dG_H" variable_2="dG_H"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="C_tot" variable_2="C_tot"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="J_F1"/>
<map_variables variable_1="dG_F1o" variable_2="dG_F1o"/>
<map_variables variable_1="dG_H" variable_2="dG_H"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="n_A" variable_2="n_A"/>
<map_variables variable_1="K_DD" variable_2="K_DD"/>
<map_variables variable_1="K_DT" variable_2="K_DT"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="ddeltaPsi_dt"/>
<map_variables variable_1="deltaPsi" variable_2="deltaPsi"/>
<map_variables variable_1="n_A" variable_2="n_A"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dH_x_dt"/>
<map_variables variable_1="H_x" variable_2="H_x"/>
<map_variables variable_1="n_A" variable_2="n_A"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dK_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dMg_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dNADH_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dQ_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dCox_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dATP_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dATP_mx_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dADP_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dADP_mx_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dPI_x_dt"/>
<map_variables variable_1="W_x" variable_2="W_x"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dATP_i_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dADP_i_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dAMP_i_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dATP_mi_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dADP_mi_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dPI_i_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dMg_i_dt"/>
<map_variables variable_1="W_i" variable_2="W_i"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dATP_c_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
<map_variables variable_1="Rm_cyto" variable_2="Rm_cyto"/>
<map_variables variable_1="Rc_cell" variable_2="Rc_cell"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dADP_c_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
<map_variables variable_1="Rm_cyto" variable_2="Rm_cyto"/>
<map_variables variable_1="Rc_cell" variable_2="Rc_cell"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dAMP_c_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
<map_variables variable_1="Rm_cyto" variable_2="Rm_cyto"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dATP_mc_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dADP_mc_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dPI_c_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
<map_variables variable_1="Rm_cyto" variable_2="Rm_cyto"/>
<map_variables variable_1="Rc_cell" variable_2="Rc_cell"/>
</connection>
<connection>
<map_components component_1="fixed_parameters" component_2="dMg_c_dt"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
</connection>
<connection>
<map_components component_1="adjustable_parameters" component_2="ddeltaPsi_dt"/>
<map_variables variable_1="C_IM" variable_2="C_IM"/>
</connection>
<connection>
<map_components component_1="adjustable_parameters" component_2="dH_x_dt"/>
<map_variables variable_1="x_buff" variable_2="x_buff"/>
</connection>
<connection>
<map_components component_1="dNAD_x_dt" component_2="fixed_parameters"/>
<map_variables variable_1="NAD_tot" variable_2="NAD_tot"/>
</connection>
<connection>
<map_components component_1="dNAD_x_dt" component_2="dNADH_x_dt"/>
<map_variables variable_1="NADH_x" variable_2="NADH_x"/>
</connection>
<connection>
<map_components component_1="dQH2_x_dt" component_2="fixed_parameters"/>
<map_variables variable_1="Q_tot" variable_2="Q_tot"/>
</connection>
<connection>
<map_components component_1="dQH2_x_dt" component_2="dQ_x_dt"/>
<map_variables variable_1="Q_x" variable_2="Q_x"/>
</connection>
<connection>
<map_components component_1="dCred_x_dt" component_2="fixed_parameters"/>
<map_variables variable_1="C_tot" variable_2="C_tot"/>
</connection>
<connection>
<map_components component_1="dCred_x_dt" component_2="dCox_x_dt"/>
<map_variables variable_1="Cox_x" variable_2="Cox_x"/>
</connection>
<connection>
<map_components component_1="dATP_fx_dt" component_2="dATP_x_dt"/>
<map_variables variable_1="ATP_x" variable_2="ATP_x"/>
</connection>
<connection>
<map_components component_1="dATP_fx_dt" component_2="dATP_mx_dt"/>
<map_variables variable_1="ATP_mx" variable_2="ATP_mx"/>
</connection>
<connection>
<map_components component_1="dADP_fx_dt" component_2="dADP_x_dt"/>
<map_variables variable_1="ADP_x" variable_2="ADP_x"/>
</connection>
<connection>
<map_components component_1="dADP_fx_dt" component_2="dADP_mx_dt"/>
<map_variables variable_1="ADP_mx" variable_2="ADP_mx"/>
</connection>
<connection>
<map_components component_1="dATP_fi_dt" component_2="dATP_i_dt"/>
<map_variables variable_1="ATP_i" variable_2="ATP_i"/>
</connection>
<connection>
<map_components component_1="dATP_fi_dt" component_2="dATP_mi_dt"/>
<map_variables variable_1="ATP_mi" variable_2="ATP_mi"/>
</connection>
<connection>
<map_components component_1="dADP_fi_dt" component_2="dADP_i_dt"/>
<map_variables variable_1="ADP_i" variable_2="ADP_i"/>
</connection>
<connection>
<map_components component_1="dADP_fi_dt" component_2="dADP_mi_dt"/>
<map_variables variable_1="ADP_mi" variable_2="ADP_mi"/>
</connection>
<connection>
<map_components component_1="dATP_fc_dt" component_2="dATP_c_dt"/>
<map_variables variable_1="ATP_c" variable_2="ATP_c"/>
</connection>
<connection>
<map_components component_1="dATP_fc_dt" component_2="dATP_mc_dt"/>
<map_variables variable_1="ATP_mc" variable_2="ATP_mc"/>
</connection>
<connection>
<map_components component_1="dADP_fc_dt" component_2="dADP_c_dt"/>
<map_variables variable_1="ADP_c" variable_2="ADP_c"/>
</connection>
<connection>
<map_components component_1="dADP_fc_dt" component_2="dADP_mc_dt"/>
<map_variables variable_1="ADP_mc" variable_2="ADP_mc"/>
</connection>
<connection>
<map_components component_1="dAMP_i_dt" component_2="J_ANT"/>
<map_variables variable_1="J_ANT" variable_2="J_ANT"/>
</connection>
<connection>
<map_components component_1="dPCr_c_dt" component_2="fixed_parameters"/>
<map_variables variable_1="W_c" variable_2="W_c"/>
</connection>
<connection>
<map_components component_1="dPCr_c_dt" component_2="dCr_c_dt"/>
<map_variables variable_1="PCr_c" variable_2="PCr_c"/>
</connection>
<connection>
<map_components component_1="dCr_c_dt" component_2="fixed_parameters"/>
<map_variables variable_1="CR_tot" variable_2="CR_tot"/>
</connection>
<connection>
<map_components component_1="J_DH" component_2="adjustable_parameters"/>
<map_variables variable_1="X_DH" variable_2="X_DH"/>
<map_variables variable_1="r" variable_2="r"/>
<map_variables variable_1="k_PI1" variable_2="k_PI1"/>
<map_variables variable_1="k_PI2" variable_2="k_PI2"/>
</connection>
<connection>
<map_components component_1="J_DH" component_2="dNAD_x_dt"/>
<map_variables variable_1="NAD_x" variable_2="NAD_x"/>
</connection>
<connection>
<map_components component_1="J_DH" component_2="dPI_x_dt"/>
<map_variables variable_1="PI_x" variable_2="PI_x"/>
</connection>
<connection>
<map_components component_1="J_C1" component_2="adjustable_parameters"/>
<map_variables variable_1="X_C1" variable_2="X_C1"/>
<map_variables variable_1="k_PI1" variable_2="k_PI1"/>
<map_variables variable_1="k_PI2" variable_2="k_PI2"/>
</connection>
<connection>
<map_components component_1="J_C3" component_2="adjustable_parameters"/>
<map_variables variable_1="X_C3" variable_2="X_C3"/>
<map_variables variable_1="k_PI3" variable_2="k_PI3"/>
<map_variables variable_1="k_PI4" variable_2="k_PI4"/>
</connection>
<connection>
<map_components component_1="J_C1" component_2="dNAD_x_dt"/>
<map_variables variable_1="NAD_x" variable_2="NAD_x"/>
</connection>
<connection>
<map_components component_1="J_C3" component_2="dCred_x_dt"/>
<map_variables variable_1="Cred_x" variable_2="Cred_x"/>
</connection>
<connection>
<map_components component_1="J_C3" component_2="dPI_x_dt"/>
<map_variables variable_1="PI_x" variable_2="PI_x"/>
</connection>
<connection>
<map_components component_1="J_C4" component_2="adjustable_parameters"/>
<map_variables variable_1="X_C4" variable_2="X_C4"/>
<map_variables variable_1="k_O2" variable_2="k_O2"/>
</connection>
<connection>
<map_components component_1="J_C4" component_2="dCred_x_dt"/>
<map_variables variable_1="Cred_x" variable_2="Cred_x"/>
</connection>
<connection>
<map_components component_1="J_F1" component_2="adjustable_parameters"/>
<map_variables variable_1="X_F1" variable_2="X_F1"/>
</connection>
<connection>
<map_components component_1="J_ANT" component_2="adjustable_parameters"/>
<map_variables variable_1="X_ANT" variable_2="X_ANT"/>
<map_variables variable_1="k_mADP" variable_2="k_mADP"/>
</connection>
<connection>
<map_components component_1="J_ANT" component_2="fixed_parameters"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="RT" variable_2="RT"/>
</connection>
<connection>
<map_components component_1="J_ANT" component_2="dATP_fx_dt"/>
<map_variables variable_1="ATP_fx" variable_2="ATP_fx"/>
</connection>
<connection>
<map_components component_1="J_ANT" component_2="dADP_fx_dt"/>
<map_variables variable_1="ADP_fx" variable_2="ADP_fx"/>
</connection>
<connection>
<map_components component_1="J_ANT" component_2="dATP_fi_dt"/>
<map_variables variable_1="ATP_fi" variable_2="ATP_fi"/>
</connection>
<connection>
<map_components component_1="J_ANT" component_2="dADP_fi_dt"/>
<map_variables variable_1="ADP_fi" variable_2="ADP_fi"/>
</connection>
<connection>
<map_components component_1="J_PI1" component_2="adjustable_parameters"/>
<map_variables variable_1="X_PI1" variable_2="X_PI1"/>
<map_variables variable_1="k_PIH" variable_2="k_PIH"/>
</connection>
<connection>
<map_components component_1="J_PI1" component_2="fixed_parameters"/>
<map_variables variable_1="k_dHPI" variable_2="k_dHPI"/>
<map_variables variable_1="H_i" variable_2="H_i"/>
</connection>
<connection>
<map_components component_1="J_Hle" component_2="fixed_parameters"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="H_i" variable_2="H_i"/>
</connection>
<connection>
<map_components component_1="J_Hle" component_2="adjustable_parameters"/>
<map_variables variable_1="X_Hle" variable_2="X_Hle"/>
</connection>
<connection>
<map_components component_1="J_Hle" component_2="dPI_i_dt"/>
<map_variables variable_1="PI_i" variable_2="PI_i"/>
</connection>
<connection>
<map_components component_1="J_Hle" component_2="dPI_x_dt"/>
<map_variables variable_1="PI_x" variable_2="PI_x"/>
</connection>
<connection>
<map_components component_1="J_KH" component_2="fixed_parameters"/>
<map_variables variable_1="K_i" variable_2="K_i"/>
<map_variables variable_1="H_i" variable_2="H_i"/>
</connection>
<connection>
<map_components component_1="J_KH" component_2="adjustable_parameters"/>
<map_variables variable_1="X_KH" variable_2="X_KH"/>
</connection>
<connection>
<map_components component_1="J_K" component_2="fixed_parameters"/>
<map_variables variable_1="K_i" variable_2="K_i"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="J_K" component_2="adjustable_parameters"/>
<map_variables variable_1="X_K" variable_2="X_K"/>
</connection>
<connection>
<map_components component_1="J_AMP" component_2="adjustable_parameters"/>
<map_variables variable_1="gamma" variable_2="gamma"/>
<map_variables variable_1="X_A" variable_2="X_A"/>
</connection>
<connection>
<map_components component_1="J_ADP" component_2="adjustable_parameters"/>
<map_variables variable_1="gamma" variable_2="gamma"/>
<map_variables variable_1="X_A" variable_2="X_A"/>
</connection>
<connection>
<map_components component_1="J_ATP" component_2="adjustable_parameters"/>
<map_variables variable_1="gamma" variable_2="gamma"/>
<map_variables variable_1="X_A" variable_2="X_A"/>
</connection>
<connection>
<map_components component_1="J_PI2" component_2="adjustable_parameters"/>
<map_variables variable_1="gamma" variable_2="gamma"/>
<map_variables variable_1="X_PI2" variable_2="X_PI2"/>
</connection>
<connection>
<map_components component_1="J_MgATP_x" component_2="adjustable_parameters"/>
<map_variables variable_1="X_MgA" variable_2="X_MgA"/>
</connection>
<connection>
<map_components component_1="J_MgATP_x" component_2="fixed_parameters"/>
<map_variables variable_1="K_DT" variable_2="K_DT"/>
</connection>
<connection>
<map_components component_1="J_MgATP_x" component_2="dATP_fx_dt"/>
<map_variables variable_1="ATP_fx" variable_2="ATP_fx"/>
</connection>
<connection>
<map_components component_1="J_MgADP_x" component_2="adjustable_parameters"/>
<map_variables variable_1="X_MgA" variable_2="X_MgA"/>
</connection>
<connection>
<map_components component_1="J_MgADP_x" component_2="fixed_parameters"/>
<map_variables variable_1="K_DD" variable_2="K_DD"/>
</connection>
<connection>
<map_components component_1="J_MgADP_x" component_2="dADP_fx_dt"/>
<map_variables variable_1="ADP_fx" variable_2="ADP_fx"/>
</connection>
<connection>
<map_components component_1="J_MgATP_i" component_2="adjustable_parameters"/>
<map_variables variable_1="X_MgA" variable_2="X_MgA"/>
</connection>
<connection>
<map_components component_1="J_MgATP_i" component_2="fixed_parameters"/>
<map_variables variable_1="K_DT" variable_2="K_DT"/>
</connection>
<connection>
<map_components component_1="J_MgATP_i" component_2="dATP_fi_dt"/>
<map_variables variable_1="ATP_fi" variable_2="ATP_fi"/>
</connection>
<connection>
<map_components component_1="J_MgADP_i" component_2="adjustable_parameters"/>
<map_variables variable_1="X_MgA" variable_2="X_MgA"/>
</connection>
<connection>
<map_components component_1="J_MgADP_i" component_2="fixed_parameters"/>
<map_variables variable_1="K_DD" variable_2="K_DD"/>
</connection>
<connection>
<map_components component_1="J_MgADP_i" component_2="dADP_fi_dt"/>
<map_variables variable_1="ADP_fi" variable_2="ADP_fi"/>
</connection>
<connection>
<map_components component_1="J_MgATP_c" component_2="adjustable_parameters"/>
<map_variables variable_1="X_MgA" variable_2="X_MgA"/>
</connection>
<connection>
<map_components component_1="J_MgATP_c" component_2="fixed_parameters"/>
<map_variables variable_1="K_DT" variable_2="K_DT"/>
</connection>
<connection>
<map_components component_1="J_MgATP_c" component_2="dATP_fc_dt"/>
<map_variables variable_1="ATP_fc" variable_2="ATP_fc"/>
</connection>
<connection>
<map_components component_1="J_MgADP_c" component_2="adjustable_parameters"/>
<map_variables variable_1="X_MgA" variable_2="X_MgA"/>
</connection>
<connection>
<map_components component_1="J_MgADP_c" component_2="fixed_parameters"/>
<map_variables variable_1="K_DD" variable_2="K_DD"/>
</connection>
<connection>
<map_components component_1="J_MgADP_c" component_2="dADP_fc_dt"/>
<map_variables variable_1="ADP_fc" variable_2="ADP_fc"/>
</connection>
<connection>
<map_components component_1="J_AKi" component_2="adjustable_parameters"/>
<map_variables variable_1="X_AK" variable_2="X_AK"/>
</connection>
<connection>
<map_components component_1="J_AKi" component_2="fixed_parameters"/>
<map_variables variable_1="K_AK" variable_2="K_AK"/>
</connection>
<connection>
<map_components component_1="J_AKc" component_2="adjustable_parameters"/>
<map_variables variable_1="X_AK" variable_2="X_AK"/>
</connection>
<connection>
<map_components component_1="J_AKc" component_2="fixed_parameters"/>
<map_variables variable_1="K_AK" variable_2="K_AK"/>
</connection>
<connection>
<map_components component_1="J_CKc" component_2="adjustable_parameters"/>
<map_variables variable_1="X_CK" variable_2="X_CK"/>
</connection>
<connection>
<map_components component_1="J_CKc" component_2="fixed_parameters"/>
<map_variables variable_1="K_CK" variable_2="K_CK"/>
<map_variables variable_1="H_c" variable_2="H_c"/>
</connection>
<connection>
<map_components component_1="J_CKc" component_2="dCr_c_dt"/>
<map_variables variable_1="Cr_c" variable_2="Cr_c"/>
</connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="rdf:#2e8098e2-cd3f-43c3-b638-63562aa70c90"><rdf:value xml:lang="en">This CellML version of the model runs in OpenCell and COR to reproduce the original matlab code, which it has been based off. The units are consistent throughout. </rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#7ee14bcc-d3f5-4e24-9bf6-7fdaa3c8e0d1"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#2791b7a9-2f1a-4db9-a1ba-4e180959a36a"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoff Nunns</FN></rdf:Description><rdf:Description rdf:about=""><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#4ff19dee-d8c1-40f0-bad4-8d4823a940a4"/></creator><created xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#c2624782-4732-4c64-a764-66f23aaa61b8"/></created><cmeta:comment><rdf:Description rdf:about="rdf:#2e8098e2-cd3f-43c3-b638-63562aa70c90"/></cmeta:comment><publisher xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en"></publisher></rdf:Description><rdf:Description rdf:about="rdf:#c2624782-4732-4c64-a764-66f23aaa61b8"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-07-07T00:00:00+12:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#969caff9-29ee-47a6-9379-1c28e18455a0"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Seq"/></rdf:type><rdf:_3><rdf:Description rdf:about="rdf:#9cf8582d-23dd-4cc7-b7c6-9523b3077602"/></rdf:_3><rdf:_1><rdf:Description rdf:about="rdf:#48d17d8e-2eff-4a48-a672-e81ac3e7f0da"/></rdf:_1><rdf:_2><rdf:Description rdf:about="rdf:#48ce283b-4ead-497e-9e38-9b2c506c8fd5"/></rdf:_2></rdf:Description><rdf:Description rdf:about="rdf:#4cdf6ce4-8743-4f24-a7ad-c0257b2d7827"><Orgname xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">The University of Auckland</Orgname><Orgunit xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Auckland Bioengineering Institute</Orgunit></rdf:Description><rdf:Description rdf:nodeID="n1"><pointDensity xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">10000</pointDensity><maximumStepSize xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">0.1</maximumStepSize></rdf:Description><rdf:Description rdf:about="rdf:#4ff19dee-d8c1-40f0-bad4-8d4823a940a4"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#ace148f2-7013-42e7-99e7-9c73229e89a0"/></N><ORG xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#4cdf6ce4-8743-4f24-a7ad-c0257b2d7827"/></ORG><EMAIL xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#89e72190-0929-4b2d-b637-e43e46dd18f0"/></EMAIL></rdf:Description><rdf:Description rdf:about="rdf:#2d92820f-2e9e-4255-90ef-34d84c42ccc7"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Fan</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Wu</Family></rdf:Description><rdf:Description rdf:about="rdf:#48ce283b-4ead-497e-9e38-9b2c506c8fd5"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d5ac6440-b24d-4f73-ae64-8d6caa06347e"/></N><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type></rdf:Description><rdf:Description rdf:about="#wu_jeneson_beard_2006"><bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>metabolism</rdf:li>
<rdf:li>ATP synthesis</rdf:li>
<rdf:li>mitochondria</rdf:li>
<rdf:li>skeletal muscle</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n2"/></simulation><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#f7d57401-9281-4c09-a9dd-ff99d6cf7466"/></reference><cmeta:comment><rdf:Description rdf:about="rdf:#6a395d1b-c32a-49fd-820c-946e58f289a6"/></cmeta:comment></rdf:Description><rdf:Description rdf:nodeID="n2"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n3"/></boundIntervals></rdf:Description><rdf:Description rdf:about="rdf:#48d17d8e-2eff-4a48-a672-e81ac3e7f0da"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#2d92820f-2e9e-4255-90ef-34d84c42ccc7"/></N><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type></rdf:Description><rdf:Description rdf:about="rdf:#d5ac6440-b24d-4f73-ae64-8d6caa06347e"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Jeroen</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">L</Other><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Jeneson</Family></rdf:Description><rdf:Description rdf:about="rdf:#9cf8582d-23dd-4cc7-b7c6-9523b3077602"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#ffa63a07-2425-4a6f-b42d-c4a950232f02"/></N><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type></rdf:Description><rdf:Description rdf:about="rdf:#182b9be5-e215-43a4-9f54-b488905922e2"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2006-07-12 00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#ace148f2-7013-42e7-99e7-9c73229e89a0"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoffrey</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Rogan</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Nunns</Family></rdf:Description><rdf:Description rdf:about="rdf:#ffa63a07-2425-4a6f-b42d-c4a950232f02"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Daniel</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Beard</Family></rdf:Description><rdf:Description rdf:about="rdf:#f7d57401-9281-4c09-a9dd-ff99d6cf7466"><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">16837647</Pubmed_id><JournalArticle xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#702dfa63-d923-49a6-8591-2ecda9a16def"/></JournalArticle></rdf:Description><rdf:Description rdf:about="rdf:#af8f1d65-cfa4-4606-a5bf-90d38e1506ec"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Am J Physiol Cell Physiol</title></rdf:Description><rdf:Description rdf:nodeID="n3"><rdf:first><rdf:Description rdf:nodeID="n1"/></rdf:first><rdf:rest><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/></rdf:rest></rdf:Description><rdf:Description rdf:about="rdf:#702dfa63-d923-49a6-8591-2ecda9a16def"><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">C124</last_page><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Oxidative ATP Synthesis in Skeletal Muscle is Controlled by Substrate Feedback</title><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#182b9be5-e215-43a4-9f54-b488905922e2"/></issued><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#969caff9-29ee-47a6-9379-1c28e18455a0"/></creator><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">292</volume><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#af8f1d65-cfa4-4606-a5bf-90d38e1506ec"/></Journal><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">C115</first_page></rdf:Description><rdf:Description rdf:about="rdf:#7ee14bcc-d3f5-4e24-9bf6-7fdaa3c8e0d1"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Geoff Nunns</FN></rdf:Description><rdf:Description rdf:about="rdf:#89e72190-0929-4b2d-b637-e43e46dd18f0"><rdf:value xml:lang="en">gnunns1@jhem.jhu.edu</rdf:value><rdf:type><rdf:Description rdf:about="http://imc.org/vCard/3.0#internet"/></rdf:type></rdf:Description><rdf:Description rdf:about="rdf:#6a395d1b-c32a-49fd-820c-946e58f289a6"><rdf:value xml:lang="en">This CellML version of the model runs in OpenCell and COR to reproduce the original matlab code, which it has been based off. The units are consistent throughout. </rdf:value><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#2791b7a9-2f1a-4db9-a1ba-4e180959a36a"/></creator></rdf:Description></rdf:RDF></model>
