- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2010-08-04 23:35:10+12:00
- Desc:
- Added initial conditions and made oter minor changes but the model requires much more curation.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/korzeniewski_zoladz_2001/rawfile/7372ab6c29010aa5c4419d5afd8ec223988bc7a4/korzeniewski_zoladz_2001.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : oxidative_phosphorylation_2001_version02.xml
CREATED : 31st May 2007
LAST MODIFIED : 31st May 2007
AUTHOR : Catherine Lloyd
Department of Engineering Science
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.1 Specification.
DESCRIPTION : This file contains a CellML description of oxidative
phosphorylation based on Korzeniewski and Froncisz's mathematical model (1991).
This model was slightly altered in a subsequent paper (1996) and I have
incorporated some of these changes.
CHANGES:
--><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="korzeniewski_zoladz_2001" name="korzeniewski_zoladz_2001">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>A model of oxidative phosphorylation in mammalian skeletal muscle</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model is valid CellML but it will not run in OpenCell or COR and it requires much more curation.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: A dynamic computer model of oxidative phosphorylation in oxidative mammalian skeletal muscle was developed. The previously published model of oxidative phosphorylation in isolated skeletal muscle mitochondria was extended by incorporation of the creatine kinase system (creatine kinase plus phosphocreatine/creatine pair), cytosolic proton production/consumption system (proton production/consumption by the creatine kinase-catalysed reaction, efflux/influx of protons), physiological size of the adenine nucleotide pool and some additional minor changes. Theoretical studies performed by means of the extended model demonstrated that the CK system, which allows for large changes in P(i) in relation to isolated mitochondria system, has no significant influence on the kinetic properties of oxidative phosphorylation, as inorganic phosphate only slightly modifies the relationship between the respiration rate and [ADP]. Computer simulations also suggested that the second-order dependence of oxidative phosphorylation on [ADP] proposed in the literature refers only to the ATP synthesis flux, but not to the oxygen consumption flux (the difference between these two fluxes being due to the proton leak). Next, time courses of changes in fluxes and metabolite concentrations during transition between different steady-states were simulated. The model suggests, in accordance with previous theoretical predictions, that activation of oxidative phosphorylation by an increase in [ADP] can (roughly) explain the behaviour of the system only at low work intensities, while at higher work intensities parallel activation of different steps of oxidative phosphorylation is involved.
</para>
<para>
The original paper reference is cited below:
</para>
<para>
A model of oxidative phosphorylation in mammalian skeletal muscle, Bernard Korzeniewski and Jerzy A. Zoladz, 2001, <emphasis>Biophysical Chemistry</emphasis>, 92, 17-34. <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/11527576">PubMed ID: 11527576</ulink>
</para>
<informalfigure float="0" id="fig_pathway_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>the conventional rendering of oxidative phosphorylation</title>
</objectinfo>
<imagedata fileref="korzeniewski_2001.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram of the oxidative phosphorylation pathway.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
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</component>
<component cmeta:id="ADP_fi" name="ADP_fi">
<variable units="micromolar" public_interface="out" name="ADP_fi"/>
<variable units="micromolar" name="kDDi" initial_value="282"/>
<variable units="micromolar" public_interface="in" name="ADP_ti"/>
<variable units="micromolar" public_interface="in" name="Mg_fi"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="9">
<apply>
<eq/>
<ci>ADP_fi</ci>
<apply>
<divide/>
<ci>ADP_ti</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>Mg_fi</ci>
<ci>kDDi</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ADP_ti" name="ADP_ti">
<variable units="micromolar" public_interface="out" name="ADP_ti"/>
<variable units="micromolar" name="Ai_SUM" initial_value="16260.0"/>
<variable units="micromolar" public_interface="in" name="ATP_ti"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="10">
<apply>
<eq/>
<ci>ADP_ti</ci>
<apply>
<minus/>
<ci>Ai_SUM</ci>
<ci>ATP_ti</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ATP_mi" name="ATP_mi">
<variable units="micromolar" public_interface="out" name="ATP_mi"/>
<variable units="micromolar" public_interface="in" name="ATP_ti"/>
<variable units="micromolar" public_interface="in" name="ATP_fi"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="11">
<apply>
<eq/>
<ci>ATP_mi</ci>
<apply>
<minus/>
<ci>ATP_ti</ci>
<ci>ATP_fi</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ATP_fi" name="ATP_fi">
<variable units="micromolar" public_interface="out" name="ATP_fi"/>
<variable units="micromolar" name="kDTi" initial_value="17"/>
<variable units="micromolar" public_interface="in" name="ATP_ti"/>
<variable units="micromolar" public_interface="in" name="Mg_fi"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="12">
<apply>
<eq/>
<ci>ATP_fi</ci>
<apply>
<divide/>
<ci>ATP_ti</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>Mg_fi</ci>
<ci>kDTi</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ATP_ti" name="ATP_ti">
<variable units="micromolar" public_interface="out" name="ATP_ti" initial_value="1.00"/>
<variable units="dimensionless" public_interface="in" name="R_cm"/>
<variable units="flux" public_interface="in" name="vSN"/>
<variable units="flux" public_interface="in" name="vEX"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="13">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_ti</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>vSN</ci>
<ci>vEX</ci>
</apply>
<ci>R_cm</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ADP_me" name="ADP_me">
<variable units="micromolar" public_interface="out" name="ADP_me"/>
<variable units="micromolar" public_interface="in" name="ADP_te"/>
<variable units="micromolar" public_interface="in" name="ADP_fe"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="14">
<apply>
<eq/>
<ci>ADP_me</ci>
<apply>
<minus/>
<ci>ADP_te</ci>
<ci>ADP_fe</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ADP_fe" name="ADP_fe">
<variable units="micromolar" public_interface="out" name="ADP_fe"/>
<variable units="micromolar" name="kDDe" initial_value="347"/>
<variable units="micromolar" public_interface="in" name="ADP_te"/>
<variable units="micromolar" public_interface="in" name="Mg_fe"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="15">
<apply>
<eq/>
<ci>ADP_fe</ci>
<apply>
<divide/>
<ci>ADP_te</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>Mg_fe</ci>
<ci>kDDe</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ADP_te" name="ADP_te">
<variable units="micromolar" public_interface="out" name="ADP_te" initial_value="1.00"/>
<variable units="flux" public_interface="in" name="vUT"/>
<variable units="flux" public_interface="in" name="vEX"/>
<variable units="flux" public_interface="in" name="vAK"/>
<variable units="flux" public_interface="in" name="vCK"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="16">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ADP_te</ci>
</apply>
<apply>
<minus/>
<ci>vUT</ci>
<apply>
<plus/>
<ci>vEX</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>vAK</ci>
</apply>
<ci>vCK</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ATP_me" name="ATP_me">
<variable units="micromolar" public_interface="out" name="ATP_me"/>
<variable units="micromolar" public_interface="in" name="ATP_te"/>
<variable units="micromolar" public_interface="in" name="ATP_fe"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="17">
<apply>
<eq/>
<ci>ATP_me</ci>
<apply>
<minus/>
<ci>ATP_te</ci>
<ci>ATP_fe</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ATP_fe" name="ATP_fe">
<variable units="micromolar" public_interface="out" name="ATP_fe"/>
<variable units="micromolar" name="kDTe" initial_value="24"/>
<variable units="micromolar" public_interface="in" name="ATP_te"/>
<variable units="micromolar" public_interface="in" name="Mg_fe"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="18">
<apply>
<eq/>
<ci>ATP_fe</ci>
<apply>
<divide/>
<ci>ATP_te</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>Mg_fe</ci>
<ci>kDTe</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="ATP_te" name="ATP_te">
<variable units="micromolar" public_interface="out" name="ATP_te" initial_value="1.00"/>
<variable units="flux" public_interface="in" name="vUT"/>
<variable units="flux" public_interface="in" name="vEX"/>
<variable units="flux" public_interface="in" name="vAK"/>
<variable units="flux" public_interface="in" name="vCK"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="19">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ATP_te</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>vEX</ci>
<ci>vAK</ci>
<ci>vCK</ci>
</apply>
<ci>vUT</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="AMP_e" name="AMP_e">
<variable units="micromolar" public_interface="out" name="AMP_e"/>
<variable units="micromolar" name="Ae_SUM" initial_value="1600.2"/>
<variable units="micromolar" public_interface="in" name="ATP_te"/>
<variable units="micromolar" public_interface="in" name="ADP_te"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="20">
<apply>
<eq/>
<ci>AMP_e</ci>
<apply>
<minus/>
<ci>Ae_SUM</ci>
<apply>
<plus/>
<ci>ATP_te</ci>
<ci>ADP_te</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Cr" name="Cr">
<variable units="micromolar" public_interface="out" name="Cr"/>
<variable units="micromolar" name="C_SUM" initial_value="35000.0"/>
<variable units="micromolar" public_interface="in" name="PCr"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="21">
<apply>
<eq/>
<ci>Cr</ci>
<apply>
<minus/>
<ci>C_SUM</ci>
<ci>PCr</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="PCr" name="PCr">
<variable units="micromolar" public_interface="out" name="PCr" initial_value="1.00"/>
<variable units="flux" public_interface="in" name="vCK"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="22">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>PCr</ci>
</apply>
<apply>
<minus/>
<ci>vCK</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Pi_ji" name="Pi_ji">
<variable units="micromolar" public_interface="out" name="Pi_ji"/>
<variable units="micromolar" public_interface="in" name="Pi_ti"/>
<variable units="dimensionless" public_interface="in" name="pH_i"/>
<variable units="dimensionless" public_interface="in" name="pKa"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="23">
<apply>
<eq/>
<ci>Pi_ji</ci>
<apply>
<divide/>
<ci>Pi_ti</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<minus/>
<ci>pH_i</ci>
<ci>pKa</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Pi_je" name="Pi_je">
<variable units="micromolar" public_interface="out" name="Pi_je"/>
<variable units="micromolar" public_interface="in" name="Pi_te"/>
<variable units="dimensionless" public_interface="in" name="pH_e"/>
<variable units="dimensionless" public_interface="in" name="pKa"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="24">
<apply>
<eq/>
<ci>Pi_je</ci>
<apply>
<divide/>
<ci>Pi_te</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<minus/>
<ci>pH_e</ci>
<ci>pKa</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Pi_ti" name="Pi_ti">
<variable units="micromolar" public_interface="out" name="Pi_ti" initial_value="1.00"/>
<variable units="flux" public_interface="in" name="vPI"/>
<variable units="flux" public_interface="in" name="vSN"/>
<variable units="dimensionless" public_interface="in" name="R_cm"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="25">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Pi_ti</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>vPI</ci>
<ci>vSN</ci>
</apply>
<ci>R_cm</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Pi_te" name="Pi_te">
<variable units="micromolar" public_interface="out" name="Pi_te" initial_value="1.00"/>
<variable units="flux" public_interface="in" name="vUT"/>
<variable units="flux" public_interface="in" name="vPI"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="26">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Pi_te</ci>
</apply>
<apply>
<minus/>
<ci>vUT</ci>
<ci>vPI</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Mg_fe" name="Mg_fe">
<variable units="micromolar" public_interface="out" name="Mg_fe" initial_value="4000.0"/>
</component>
<component cmeta:id="Mg_fi" name="Mg_fi">
<variable units="micromolar" public_interface="out" name="Mg_fi" initial_value="380.0"/>
</component>
<component cmeta:id="P_SUM" name="P_SUM">
<variable units="micromolar" public_interface="out" name="P_SUM"/>
<variable units="micromolar" public_interface="in" name="Pi_ti"/>
<variable units="micromolar" public_interface="in" name="Pi_te"/>
<variable units="micromolar" public_interface="in" name="PCr"/>
<variable units="micromolar" public_interface="in" name="ATP_te"/>
<variable units="micromolar" public_interface="in" name="ADP_te"/>
<variable units="micromolar" public_interface="in" name="AMP_e"/>
<variable units="micromolar" public_interface="in" name="ATP_ti"/>
<variable units="micromolar" public_interface="in" name="ADP_ti"/>
<variable units="dimensionless" public_interface="in" name="R_cm"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="27">
<apply>
<eq/>
<ci>P_SUM</ci>
<apply>
<plus/>
<ci>PCr</ci>
<apply>
<times/>
<ci>ATP_te</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<apply>
<times/>
<ci>ADP_te</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>AMP_e</ci>
<ci>Pi_te</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<ci>ATP_ti</ci>
<cn cellml:units="dimensionless">3.0</cn>
</apply>
<apply>
<times/>
<ci>ADP_ti</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
<ci>Pi_ti</ci>
</apply>
<ci>R_cm</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="c_2" name="c_2">
<variable units="micromolar" public_interface="out" name="c_2" initial_value="1.00"/>
<variable units="dimensionless" public_interface="in" name="R_cm"/>
<variable units="flux" public_interface="in" name="vC3"/>
<variable units="flux" public_interface="in" name="vC4"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="28">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>c_2</ci>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>vC3</ci>
<apply>
<times/>
<ci>vC4</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
</apply>
<ci>R_cm</ci>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
</apply>
</math>
</component>
<component cmeta:id="c_3" name="c_3">
<variable units="micromolar" public_interface="out" name="c_3"/>
<variable units="micromolar" name="ct" initial_value="270.0"/>
<variable units="micromolar" public_interface="in" name="c_2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="29">
<apply>
<eq/>
<ci>c_3</ci>
<apply>
<minus/>
<ci>ct</ci>
<ci>c_2</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="UQ" name="UQ">
<variable units="micromolar" public_interface="out" name="UQ"/>
<variable units="micromolar" name="Ut" initial_value="1350.0"/>
<variable units="micromolar" public_interface="in" name="UQH2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" id="30">
<apply>
<eq/>
<ci>UQ</ci>
<apply>
<minus/>
<ci>Ut</ci>
<ci>UQH2</ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="UQH2" name="UQH2">
<variable units="micromolar" public_interface="out" name="UQH2" initial_value="1.00"/>
<variable units="dimensionless" public_interface="in" name="R_cm"/>
<variable units="flux" public_interface="in" name="vC1"/>
<variable units="flux" public_interface="in" name="vC3"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>UQH2</ci>
</apply>
<apply>
<times/>
<ci>R_cm</ci>
<apply>
<minus/>
<ci>vC1</ci>
<ci>vC3</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="a_2" name="a_2">
<variable units="micromolar" public_interface="out" name="a_2" initial_value="1.00"/>
<variable units="dimensionless" name="A3_2"/>
<variable units="millivolt" name="Ema0" initial_value="540.0"/>
<variable units="micromolar" public_interface="out" name="at" initial_value="135.0"/>
<variable units="millivolt" public_interface="in" name="Ema"/>
<variable units="millivolt" public_interface="in" name="Z"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>a_2</ci>
</apply>
<apply>
<divide/>
<ci>at</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<ci>A3_2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>A3_2</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ema</ci>
<ci>Ema0</ci>
</apply>
<ci>Z</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="a_3" name="a_3">
<variable units="micromolar" public_interface="out" name="a_3"/>
<variable units="micromolar" public_interface="in" name="at"/>
<variable units="micromolar" public_interface="in" name="a_2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>a_3</ci>
<apply>
<minus/>
<ci>at</ci>
<ci>a_2</ci>
</apply>
</apply>
</math>
</component>
<component name="vDH">
<variable units="flux" public_interface="out" name="vDH"/>
<variable units="flux" name="kDH" initial_value="28074"/>
<variable units="micromolar" name="KmN" initial_value="100.0"/>
<variable units="dimensionless" name="pD" initial_value="0.8"/>
<variable units="micromolar" public_interface="in" name="NAD"/>
<variable units="micromolar" public_interface="in" name="NADH"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> vDH </ci>
<apply>
<times/>
<ci> kDH </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci> KmN </ci>
<apply>
<divide/>
<ci> NAD </ci>
<ci> NADH </ci>
</apply>
</apply>
</apply>
<ci> pD </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vC1">
<variable units="flux" public_interface="out" name="vC1"/>
<variable units="flux" name="kC1" initial_value="238.95"/>
<variable units="millivolt" name="delta_GC1"/>
<variable units="millivolt" public_interface="in" name="EmN"/>
<variable units="millivolt" public_interface="in" name="EmU"/>
<variable units="millivolt" public_interface="in" name="protonmotive_force"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> vC1 </ci>
<apply>
<times/>
<ci> kC1 </ci>
<ci> delta_GC1 </ci>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_GC1</ci>
<apply>
<minus/>
<ci> EmU </ci>
<apply>
<plus/>
<ci> EmN </ci>
<apply>
<times/>
<ci>protonmotive_force</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">4.0</cn>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vC3">
<variable units="flux" public_interface="out" name="vC3"/>
<variable units="flux" name="kC3" initial_value="136.41"/>
<variable units="millivolt" name="delta_GC3"/>
<variable units="millivolt" public_interface="in" name="Emc"/>
<variable units="dimensionless" public_interface="in" name="u"/>
<variable units="millivolt" public_interface="in" name="EmU"/>
<variable units="millivolt" public_interface="in" name="protonmotive_force"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> vC3 </ci>
<apply>
<times/>
<ci> kC3 </ci>
<ci> delta_GC3 </ci>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_GC3</ci>
<apply>
<minus/>
<ci> Emc </ci>
<apply>
<plus/>
<ci> EmU </ci>
<apply>
<times/>
<ci>protonmotive_force</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">4.0</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci> u </ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vC4">
<variable units="flux" public_interface="out" name="vC4"/>
<variable units="flux" name="kC4" initial_value="136.41"/>
<variable units="micromolar" name="KmO" initial_value="120.0"/>
<variable units="micromolar" public_interface="in" name="O2"/>
<variable units="micromolar" public_interface="in" name="c_2"/>
<variable units="micromolar" public_interface="in" name="a_2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> vC4 </ci>
<apply>
<times/>
<ci> kC4 </ci>
<ci> a_2 </ci>
<ci> c_2 </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci> KmO </ci>
<ci> O2 </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vSN">
<variable units="flux" public_interface="out" name="vSN"/>
<variable units="dimensionless" public_interface="out" name="nA" initial_value="2.5"/>
<variable units="flux" name="kSN" initial_value="34316.0"/>
<variable units="millivolt" name="delta_GSN"/>
<variable units="kilojoule_per_mole" name="delta_Gp"/>
<variable units="kilojoule_per_mole" name="delta_Gp0" initial_value="31.9"/>
<variable units="dimensionless" name="gamma"/>
<variable units="millivolt" public_interface="in" name="Z"/>
<variable units="millivolt" public_interface="in" name="Emc"/>
<variable units="dimensionless" public_interface="in" name="u"/>
<variable units="millivolt" public_interface="in" name="EmU"/>
<variable units="millivolt" public_interface="in" name="protonmotive_force"/>
<variable units="micromolar" public_interface="in" name="ATP_ti"/>
<variable units="micromolar" public_interface="in" name="ADP_ti"/>
<variable units="micromolar" public_interface="in" name="Pi_ti"/>
<variable units="kilojoule_per_mole_millivolt" public_interface="in" name="F"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci> vSN </ci>
<apply>
<times/>
<ci> kSN </ci>
<apply>
<divide/>
<apply>
<minus/>
<ci> gamma </ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
<apply>
<plus/>
<ci> gamma </ci>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> gamma </ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<divide/>
<ci> delta_GSN </ci>
<ci> Z </ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_GSN</ci>
<apply>
<minus/>
<apply>
<times/>
<ci> nA </ci>
<ci>protonmotive_force</ci>
</apply>
<ci>delta_Gp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_Gp</ci>
<apply>
<divide/>
<ci> delta_Gp0 </ci>
<apply>
<plus/>
<ci> F </ci>
<apply>
<times/>
<ci> Z </ci>
<apply>
<log/>
<apply>
<times/>
<cn cellml:units="micromolar">1000000.0</cn>
<apply>
<divide/>
<ci> ATP_ti </ci>
<apply>
<times/>
<ci> ADP_ti </ci>
<ci> Pi_ti </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vEX">
<variable units="flux" public_interface="out" name="vEX"/>
<variable units="millivolt" public_interface="in" name="Z"/>
<variable units="micromolar" public_interface="in" name="ATP_fi"/>
<variable units="micromolar" public_interface="in" name="ADP_fe"/>
<variable units="micromolar" public_interface="in" name="ADP_fi"/>
<variable units="micromolar" public_interface="in" name="ATP_fe"/>
<variable units="millivolt" public_interface="in" name="in_membrane_potential"/>
<variable units="flux" name="kEX" initial_value="54572"/>
<variable units="micromolar" name="km_ADP" initial_value="3.5"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vEX</ci>
<apply>
<times/>
<ci>kEX</ci>
<apply>
<minus/>
<apply>
<divide/>
<ci>ADP_fe</ci>
<apply>
<plus/>
<ci>ADP_fe</ci>
<apply>
<times/>
<ci>ATP_fe</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<divide/>
<apply>
<minus/>
<ci>in_membrane_potential</ci>
</apply>
<ci>Z</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci>ADP_fi</ci>
<apply>
<plus/>
<ci>ADP_fi</ci>
<apply>
<times/>
<ci>ATP_fi</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<divide/>
<apply>
<minus/>
<ci>in_membrane_potential</ci>
</apply>
<ci>Z</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>km_ADP</ci>
<ci>ADP_fe</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vUT">
<variable units="flux" public_interface="out" name="vUT"/>
<variable units="micromolar" public_interface="in" name="ATP_te"/>
<variable units="micromolar" name="km_A" initial_value="150.0"/>
<variable units="flux" name="kUT" initial_value="686.5"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vUT</ci>
<apply>
<times/>
<ci>kUT</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<ci>km_A</ci>
<ci>ATP_te</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vAK">
<variable units="flux" public_interface="out" name="vAK"/>
<variable units="micromolar" public_interface="in" name="ADP_fe"/>
<variable units="micromolar" public_interface="in" name="ADP_me"/>
<variable units="micromolar" public_interface="in" name="ATP_me"/>
<variable units="micromolar" public_interface="in" name="AMP_e"/>
<variable units="second_order_rate_constant" name="kf_AK" initial_value="862.10"/>
<variable units="second_order_rate_constant" name="kb_AK" initial_value="22.747"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vAK</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kf_AK</ci>
<ci>ADP_me</ci>
<ci>ADP_fe</ci>
</apply>
<apply>
<times/>
<ci>kb_AK</ci>
<ci>ATP_me</ci>
<ci>AMP_e</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vLK">
<variable units="flux" public_interface="out" name="vLK"/>
<variable units="flux" name="kL1" initial_value="2.5"/>
<variable units="per_millivolt" name="kL2" initial_value="0.038"/>
<variable units="millivolt" public_interface="in" name="protonmotive_force"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vLK</ci>
<apply>
<times/>
<ci>kL1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<ci>kL2</ci>
<ci>protonmotive_force</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vPI">
<variable units="flux" public_interface="out" name="vPI"/>
<variable units="micromolar" public_interface="in" name="Pi_je"/>
<variable units="micromolar" public_interface="in" name="He"/>
<variable units="micromolar" public_interface="in" name="Pi_ji"/>
<variable units="micromolar" public_interface="in" name="Hi"/>
<variable units="second_order_rate_constant" name="kPI" initial_value="69.421"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vPI</ci>
<apply>
<times/>
<ci>kPI</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>He</ci>
<ci>Pi_je</ci>
</apply>
<apply>
<times/>
<ci>Hi</ci>
<ci>Pi_ji</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vCK">
<variable units="flux" public_interface="out" name="vCK"/>
<variable units="micromolar" public_interface="in" name="ATP_te"/>
<variable units="micromolar" public_interface="in" name="He"/>
<variable units="micromolar" public_interface="in" name="ADP_te"/>
<variable units="micromolar" public_interface="in" name="Cr"/>
<variable units="micromolar" public_interface="in" name="PCr"/>
<variable units="third_order_rate_constant" name="kf_CK" initial_value="1.9258"/>
<variable units="second_order_rate_constant" name="kb_CK" initial_value="0.00087538"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vCK</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kf_CK</ci>
<ci>ADP_te</ci>
<ci>PCr</ci>
<ci>He</ci>
</apply>
<apply>
<times/>
<ci>kb_CK</ci>
<ci>ATP_te</ci>
<ci>Cr</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="vEFF">
<variable units="flux" public_interface="out" name="vEFF"/>
<variable units="dimensionless" public_interface="in" name="pH_e"/>
<variable units="dimensionless" name="pH_o" initial_value="7.0"/>
<variable units="flux" name="k_EFF" initial_value="1.9258"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>vEFF</ci>
<apply>
<times/>
<ci>k_EFF</ci>
<apply>
<minus/>
<ci>pH_o</ci>
<ci>pH_e</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="vDH" component_1="NAD"/>
<map_variables variable_2="NAD" variable_1="NAD"/>
</connection>
<connection>
<map_components component_2="redox_potentials" component_1="NAD"/>
<map_variables variable_2="NAD" variable_1="NAD"/>
</connection>
<connection>
<map_components component_2="NADH" component_1="NAD"/>
<map_variables variable_2="NADH" variable_1="NADH"/>
</connection>
<connection>
<map_components component_2="vDH" component_1="NADH"/>
<map_variables variable_2="NADH" variable_1="NADH"/>
<map_variables variable_2="vDH" variable_1="vDH"/>
</connection>
<connection>
<map_components component_2="redox_potentials" component_1="NADH"/>
<map_variables variable_2="NADH" variable_1="NADH"/>
</connection>
<connection>
<map_components component_2="vC1" component_1="NADH"/>
<map_variables variable_2="vC1" variable_1="vC1"/>
</connection>
<connection>
<map_components component_2="cell" component_1="NADH"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
<map_variables variable_2="BN" variable_1="BN"/>
</connection>
<connection>
<map_components component_2="vC1" component_1="He"/>
<map_variables variable_2="vC1" variable_1="vC1"/>
</connection>
<connection>
<map_components component_2="vC1" component_1="Hi"/>
<map_variables variable_2="vC1" variable_1="vC1"/>
</connection>
<connection>
<map_components component_2="vC1" component_1="UQH2"/>
<map_variables variable_2="vC1" variable_1="vC1"/>
</connection>
<connection>
<map_components component_2="vC1" component_1="redox_potentials"/>
<map_variables variable_2="EmN" variable_1="EmN"/>
<map_variables variable_2="EmU" variable_1="EmU"/>
</connection>
<connection>
<map_components component_2="vC1" component_1="cell"/>
<map_variables variable_2="protonmotive_force" variable_1="protonmotive_force"/>
</connection>
<connection>
<map_components component_2="vC3" component_1="He"/>
<map_variables variable_2="vC3" variable_1="vC3"/>
</connection>
<connection>
<map_components component_2="vC3" component_1="Hi"/>
<map_variables variable_2="vC3" variable_1="vC3"/>
</connection>
<connection>
<map_components component_2="vC3" component_1="UQH2"/>
<map_variables variable_2="vC3" variable_1="vC3"/>
</connection>
<connection>
<map_components component_2="vC3" component_1="redox_potentials"/>
<map_variables variable_2="Emc" variable_1="Emc"/>
<map_variables variable_2="EmU" variable_1="EmU"/>
</connection>
<connection>
<map_components component_2="vC3" component_1="cell"/>
<map_variables variable_2="protonmotive_force" variable_1="protonmotive_force"/>
<map_variables variable_2="u" variable_1="u"/>
</connection>
<connection>
<map_components component_2="vC3" component_1="c_2"/>
<map_variables variable_2="vC3" variable_1="vC3"/>
</connection>
<connection>
<map_components component_2="vC4" component_1="He"/>
<map_variables variable_2="vC4" variable_1="vC4"/>
</connection>
<connection>
<map_components component_2="vC4" component_1="Hi"/>
<map_variables variable_2="vC4" variable_1="vC4"/>
</connection>
<connection>
<map_components component_2="vC4" component_1="c_2"/>
<map_variables variable_2="c_2" variable_1="c_2"/>
<map_variables variable_2="vC4" variable_1="vC4"/>
</connection>
<connection>
<map_components component_2="vC4" component_1="a_2"/>
<map_variables variable_2="a_2" variable_1="a_2"/>
</connection>
<connection>
<map_components component_2="vC4" component_1="O2"/>
<map_variables variable_2="O2" variable_1="O2"/>
<map_variables variable_2="vC4" variable_1="vC4"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="He"/>
<map_variables variable_2="vEX" variable_1="vEX"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="Hi"/>
<map_variables variable_2="vEX" variable_1="vEX"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ATP_fi"/>
<map_variables variable_2="ATP_fi" variable_1="ATP_fi"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ADP_fi"/>
<map_variables variable_2="ADP_fi" variable_1="ADP_fi"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="cell"/>
<map_variables variable_2="in_membrane_potential" variable_1="in_membrane_potential"/>
<map_variables variable_2="Z" variable_1="Z"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ADP_te"/>
<map_variables variable_2="vEX" variable_1="vEX"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ATP_te"/>
<map_variables variable_2="vEX" variable_1="vEX"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ATP_ti"/>
<map_variables variable_2="vEX" variable_1="vEX"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ADP_fe"/>
<map_variables variable_2="ADP_fe" variable_1="ADP_fe"/>
</connection>
<connection>
<map_components component_2="vEX" component_1="ATP_fe"/>
<map_variables variable_2="ATP_fe" variable_1="ATP_fe"/>
</connection>
<connection>
<map_components component_2="vUT" component_1="ATP_te"/>
<map_variables variable_2="ATP_te" variable_1="ATP_te"/>
<map_variables variable_2="vUT" variable_1="vUT"/>
</connection>
<connection>
<map_components component_2="vUT" component_1="ADP_te"/>
<map_variables variable_2="vUT" variable_1="vUT"/>
</connection>
<connection>
<map_components component_2="vUT" component_1="Pi_te"/>
<map_variables variable_2="vUT" variable_1="vUT"/>
</connection>
<connection>
<map_components component_2="vPI" component_1="He"/>
<map_variables variable_2="vPI" variable_1="vPI"/>
<map_variables variable_2="He" variable_1="He"/>
</connection>
<connection>
<map_components component_2="vPI" component_1="Hi"/>
<map_variables variable_2="vPI" variable_1="vPI"/>
<map_variables variable_2="Hi" variable_1="Hi"/>
</connection>
<connection>
<map_components component_2="vPI" component_1="Pi_ti"/>
<map_variables variable_2="vPI" variable_1="vPI"/>
</connection>
<connection>
<map_components component_2="vPI" component_1="Pi_te"/>
<map_variables variable_2="vPI" variable_1="vPI"/>
</connection>
<connection>
<map_components component_2="vPI" component_1="Pi_ji"/>
<map_variables variable_2="Pi_ji" variable_1="Pi_ji"/>
</connection>
<connection>
<map_components component_2="vPI" component_1="Pi_je"/>
<map_variables variable_2="Pi_je" variable_1="Pi_je"/>
</connection>
<connection>
<map_components component_2="vAK" component_1="ADP_fe"/>
<map_variables variable_2="ADP_fe" variable_1="ADP_fe"/>
</connection>
<connection>
<map_components component_2="vAK" component_1="ADP_te"/>
<map_variables variable_2="vAK" variable_1="vAK"/>
</connection>
<connection>
<map_components component_2="vAK" component_1="ATP_te"/>
<map_variables variable_2="vAK" variable_1="vAK"/>
</connection>
<connection>
<map_components component_2="vAK" component_1="ADP_me"/>
<map_variables variable_2="ADP_me" variable_1="ADP_me"/>
</connection>
<connection>
<map_components component_2="vAK" component_1="ATP_me"/>
<map_variables variable_2="ATP_me" variable_1="ATP_me"/>
</connection>
<connection>
<map_components component_2="vAK" component_1="AMP_e"/>
<map_variables variable_2="AMP_e" variable_1="AMP_e"/>
</connection>
<connection>
<map_components component_2="vLK" component_1="He"/>
<map_variables variable_2="vLK" variable_1="vLK"/>
</connection>
<connection>
<map_components component_2="vLK" component_1="Hi"/>
<map_variables variable_2="vLK" variable_1="vLK"/>
</connection>
<connection>
<map_components component_2="vLK" component_1="cell"/>
<map_variables variable_2="protonmotive_force" variable_1="protonmotive_force"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="He"/>
<map_variables variable_2="vSN" variable_1="vSN"/>
<map_variables variable_2="nA" variable_1="nA"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="Hi"/>
<map_variables variable_2="vSN" variable_1="vSN"/>
<map_variables variable_2="nA" variable_1="nA"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="ADP_ti"/>
<map_variables variable_2="ADP_ti" variable_1="ADP_ti"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="ATP_ti"/>
<map_variables variable_2="ATP_ti" variable_1="ATP_ti"/>
<map_variables variable_2="vSN" variable_1="vSN"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="Pi_ti"/>
<map_variables variable_2="Pi_ti" variable_1="Pi_ti"/>
<map_variables variable_2="vSN" variable_1="vSN"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="cell"/>
<map_variables variable_2="protonmotive_force" variable_1="protonmotive_force"/>
<map_variables variable_2="u" variable_1="u"/>
<map_variables variable_2="Z" variable_1="Z"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="vSN" component_1="redox_potentials"/>
<map_variables variable_2="Emc" variable_1="Emc"/>
<map_variables variable_2="EmU" variable_1="EmU"/>
</connection>
<connection>
<map_components component_2="vCK" component_1="He"/>
<map_variables variable_2="vCK" variable_1="vCK"/>
<map_variables variable_2="He" variable_1="He"/>
</connection>
<connection>
<map_components component_2="vCK" component_1="ATP_te"/>
<map_variables variable_2="ATP_te" variable_1="ATP_te"/>
<map_variables variable_2="vCK" variable_1="vCK"/>
</connection>
<connection>
<map_components component_2="vCK" component_1="ADP_te"/>
<map_variables variable_2="ADP_te" variable_1="ADP_te"/>
<map_variables variable_2="vCK" variable_1="vCK"/>
</connection>
<connection>
<map_components component_2="vCK" component_1="Cr"/>
<map_variables variable_2="Cr" variable_1="Cr"/>
</connection>
<connection>
<map_components component_2="Cr" component_1="PCr"/>
<map_variables variable_2="PCr" variable_1="PCr"/>
</connection>
<connection>
<map_components component_2="vCK" component_1="PCr"/>
<map_variables variable_2="PCr" variable_1="PCr"/>
<map_variables variable_2="vCK" variable_1="vCK"/>
</connection>
<connection>
<map_components component_2="vEFF" component_1="He"/>
<map_variables variable_2="vEFF" variable_1="vEFF"/>
</connection>
<connection>
<map_components component_2="cell" component_1="ATP_ti"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
</connection>
<connection>
<map_components component_2="ATP_fi" component_1="ATP_ti"/>
<map_variables variable_2="ATP_ti" variable_1="ATP_ti"/>
</connection>
<connection>
<map_components component_2="ATP_mi" component_1="ATP_ti"/>
<map_variables variable_2="ATP_ti" variable_1="ATP_ti"/>
</connection>
<connection>
<map_components component_2="ATP_mi" component_1="ATP_fi"/>
<map_variables variable_2="ATP_fi" variable_1="ATP_fi"/>
</connection>
<connection>
<map_components component_2="ATP_fe" component_1="ATP_te"/>
<map_variables variable_2="ATP_te" variable_1="ATP_te"/>
</connection>
<connection>
<map_components component_2="AMP_e" component_1="ATP_te"/>
<map_variables variable_2="ATP_te" variable_1="ATP_te"/>
</connection>
<connection>
<map_components component_2="ATP_me" component_1="ATP_te"/>
<map_variables variable_2="ATP_te" variable_1="ATP_te"/>
</connection>
<connection>
<map_components component_2="ADP_fe" component_1="ADP_te"/>
<map_variables variable_2="ADP_te" variable_1="ADP_te"/>
</connection>
<connection>
<map_components component_2="AMP_e" component_1="ADP_te"/>
<map_variables variable_2="ADP_te" variable_1="ADP_te"/>
</connection>
<connection>
<map_components component_2="ADP_me" component_1="ADP_te"/>
<map_variables variable_2="ADP_te" variable_1="ADP_te"/>
</connection>
<connection>
<map_components component_2="ADP_ti" component_1="ATP_ti"/>
<map_variables variable_2="ATP_ti" variable_1="ATP_ti"/>
</connection>
<connection>
<map_components component_2="ADP_ti" component_1="ADP_fi"/>
<map_variables variable_2="ADP_ti" variable_1="ADP_ti"/>
</connection>
<connection>
<map_components component_2="Mg_fi" component_1="ADP_fi"/>
<map_variables variable_2="Mg_fi" variable_1="Mg_fi"/>
</connection>
<connection>
<map_components component_2="Mg_fi" component_1="ATP_fi"/>
<map_variables variable_2="Mg_fi" variable_1="Mg_fi"/>
</connection>
<connection>
<map_components component_2="Mg_fe" component_1="ADP_fe"/>
<map_variables variable_2="Mg_fe" variable_1="Mg_fe"/>
</connection>
<connection>
<map_components component_2="Mg_fe" component_1="ATP_fe"/>
<map_variables variable_2="Mg_fe" variable_1="Mg_fe"/>
</connection>
<connection>
<map_components component_2="ADP_ti" component_1="ADP_mi"/>
<map_variables variable_2="ADP_ti" variable_1="ADP_ti"/>
</connection>
<connection>
<map_components component_2="ADP_fi" component_1="ADP_mi"/>
<map_variables variable_2="ADP_fi" variable_1="ADP_fi"/>
</connection>
<connection>
<map_components component_2="ADP_fe" component_1="ADP_me"/>
<map_variables variable_2="ADP_fe" variable_1="ADP_fe"/>
</connection>
<connection>
<map_components component_2="ATP_fe" component_1="ATP_me"/>
<map_variables variable_2="ATP_fe" variable_1="ATP_fe"/>
</connection>
<connection>
<map_components component_2="cell" component_1="Pi_ti"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
</connection>
<connection>
<map_components component_2="cell" component_1="Hi"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
<map_variables variable_2="r_buffi" variable_1="r_buffi"/>
<map_variables variable_2="u" variable_1="u"/>
<map_variables variable_2="Hi" variable_1="Hi"/>
</connection>
<connection>
<map_components component_2="cell" component_1="He"/>
<map_variables variable_2="r_buffe" variable_1="r_buffe"/>
<map_variables variable_2="u" variable_1="u"/>
<map_variables variable_2="He" variable_1="He"/>
</connection>
<connection>
<map_components component_2="cell" component_1="c_2"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
</connection>
<connection>
<map_components component_2="c_2" component_1="c_3"/>
<map_variables variable_2="c_2" variable_1="c_2"/>
</connection>
<connection>
<map_components component_2="a_2" component_1="a_3"/>
<map_variables variable_2="a_2" variable_1="a_2"/>
<map_variables variable_2="at" variable_1="at"/>
</connection>
<connection>
<map_components component_2="a_2" component_1="cell"/>
<map_variables variable_2="Z" variable_1="Z"/>
</connection>
<connection>
<map_components component_2="a_2" component_1="redox_potentials"/>
<map_variables variable_2="Ema" variable_1="Ema"/>
</connection>
<connection>
<map_components component_2="cell" component_1="UQH2"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
</connection>
<connection>
<map_components component_2="UQ" component_1="UQH2"/>
<map_variables variable_2="UQH2" variable_1="UQH2"/>
</connection>
<connection>
<map_components component_2="Pi_te" component_1="P_SUM"/>
<map_variables variable_2="Pi_te" variable_1="Pi_te"/>
</connection>
<connection>
<map_components component_2="Pi_ti" component_1="P_SUM"/>
<map_variables variable_2="Pi_ti" variable_1="Pi_ti"/>
</connection>
<connection>
<map_components component_2="PCr" component_1="P_SUM"/>
<map_variables variable_2="PCr" variable_1="PCr"/>
</connection>
<connection>
<map_components component_2="ATP_te" component_1="P_SUM"/>
<map_variables variable_2="ATP_te" variable_1="ATP_te"/>
</connection>
<connection>
<map_components component_2="ADP_te" component_1="P_SUM"/>
<map_variables variable_2="ADP_te" variable_1="ADP_te"/>
</connection>
<connection>
<map_components component_2="AMP_e" component_1="P_SUM"/>
<map_variables variable_2="AMP_e" variable_1="AMP_e"/>
</connection>
<connection>
<map_components component_2="ATP_ti" component_1="P_SUM"/>
<map_variables variable_2="ATP_ti" variable_1="ATP_ti"/>
</connection>
<connection>
<map_components component_2="ADP_ti" component_1="P_SUM"/>
<map_variables variable_2="ADP_ti" variable_1="ADP_ti"/>
</connection>
<connection>
<map_components component_2="cell" component_1="P_SUM"/>
<map_variables variable_2="R_cm" variable_1="R_cm"/>
</connection>
<connection>
<map_components component_2="c_3" component_1="redox_potentials"/>
<map_variables variable_2="c_3" variable_1="c_3"/>
</connection>
<connection>
<map_components component_2="c_2" component_1="redox_potentials"/>
<map_variables variable_2="c_2" variable_1="c_2"/>
</connection>
<connection>
<map_components component_2="UQ" component_1="redox_potentials"/>
<map_variables variable_2="UQ" variable_1="UQ"/>
</connection>
<connection>
<map_components component_2="UQH2" component_1="redox_potentials"/>
<map_variables variable_2="UQH2" variable_1="UQH2"/>
</connection>
<connection>
<map_components component_2="Pi_ti" component_1="Pi_ji"/>
<map_variables variable_2="Pi_ti" variable_1="Pi_ti"/>
</connection>
<connection>
<map_components component_2="cell" component_1="Pi_ji"/>
<map_variables variable_2="pH_i" variable_1="pH_i"/>
<map_variables variable_2="pKa" variable_1="pKa"/>
</connection>
<connection>
<map_components component_2="Pi_te" component_1="Pi_je"/>
<map_variables variable_2="Pi_te" variable_1="Pi_te"/>
</connection>
<connection>
<map_components component_2="cell" component_1="Pi_je"/>
<map_variables variable_2="pH_e" variable_1="pH_e"/>
<map_variables variable_2="pKa" variable_1="pKa"/>
</connection>
<connection>
<map_components component_2="cell" component_1="redox_potentials"/>
<map_variables variable_2="Z" variable_1="Z"/>
<map_variables variable_2="u" variable_1="u"/>
<map_variables variable_2="protonmotive_force" variable_1="protonmotive_force"/>
</connection>
<connection>
<map_components component_2="cell" component_1="vEFF"/>
<map_variables variable_2="pH_e" variable_1="pH_e"/>
</connection>
<connection>
<map_components component_2="environment" component_1="NADH"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="O2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Hi"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="He"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ADP_fi"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ATP_ti"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ADP_te"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ATP_te"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="PCr"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Pi_ji"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Pi_je"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Pi_ti"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Pi_te"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="UQH2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="P_SUM"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="c_2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="a_2"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#406bebb1-5fb6-447b-8760-d44705699182">
<rdf:li rdf:resource="rdf:#885ea3be-7cfd-4728-a827-2ee20dee0e2e"/>
<rdf:li rdf:resource="rdf:#c569626e-ff10-48e6-a204-c01771c962ce"/>
</rdf:Seq>
<rdf:Description rdf:about="#Pi_je">
<dcterms:alternative>external monovalent inorganic phosphate</dcterms:alternative>
<dc:title>Pi_je</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#70791f2c-a902-44d8-ab83-98d050e92d38">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>mammalian</rdf:li>
<rdf:li>skeletal muscle</rdf:li>
<rdf:li>myocyte</rdf:li>
<rdf:li>metabolism</rdf:li>
<rdf:li>oxidative phosphorylation</rdf:li>
</rdf:Bag>
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>The University of Auckland, Auckland Bioengineering Institute</dc:publisher>
<cmeta:comment rdf:resource="rdf:#170ecfd4-33a2-47d7-8672-bc3b9fa4f0c7"/>
<dcterms:created rdf:resource="rdf:#8de6e6d2-fc29-4fe6-be17-c15f70d63bfe"/>
<dc:creator rdf:resource="rdf:#63adb5d6-279f-4bc0-9c92-43816511de17"/>
<cmeta:modification rdf:resource="rdf:#1b9fadcb-2a18-4d1f-b664-9be24e8de71b"/>
<cmeta:modification rdf:resource="rdf:#8b8163b2-319d-45c7-a40a-e47faa9f6aea"/>
<cmeta:modification rdf:resource="rdf:#cb4ec4f1-c2a6-412d-bda6-ba233362c0a9"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#32836ee8-de96-4743-b256-b639f37609f4">
<vCard:N rdf:resource="rdf:#59dd95fe-fab1-40a1-9c50-42ce894e1563"/>
</rdf:Description>
<rdf:Description rdf:about="#UQH2">
<dcterms:alternative>reduced ubiquinone</dcterms:alternative>
<dc:title>UQH2</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#NAD">
<dcterms:alternative>oxidised nicotinamide adenine dinucleotide</dcterms:alternative>
<dc:title>NAD</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d77acf2c-1ede-4937-913c-07c549271b1f">
<dcterms:W3CDTF>2001-08-30</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#Pi_ji">
<dcterms:alternative>internal monovalent inorganic phosphate</dcterms:alternative>
<dc:title>Pi_ji</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#348a6d34-b858-49cf-9034-c6320b569cbc">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1e71b557-5e57-4a50-8849-a7d75f085ed8">
<vCard:Given>Bernard</vCard:Given>
<vCard:Family>Korzeniewski</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="#Cr">
<dcterms:alternative>creatine</dcterms:alternative>
<dc:title>Cr</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d4eacdc7-740a-42ca-8d93-6e377797852b">
<bqs:Pubmed_id>11527576</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#3fe0af00-986f-4636-a426-ce0807a9500b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c9748210-79c0-4fce-ad42-c13db98d4893">
<dc:subject rdf:resource="rdf:#70791f2c-a902-44d8-ab83-98d050e92d38"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a0e38777-775c-4304-af9c-186101cfd4d7">
<dc:creator rdf:resource="rdf:#7f9ddd12-cfaf-4186-a0ef-50f2d9fb8817"/>
<rdf:value>This is the CellML description of Korzeniewski and Froncisz's
mathematical model of oxidative phosphorylation (1991). In 1996 they
further modified and developed the model, making it specific to liver
hepatocytes. Most recent changes (2001) have extended the model and
have made it specific to mammalian skeletal muscle. These changes
have been incorporated into the CellML description.
The model distinguishes three modes of the work of cells. The rate
equations for some reactions are slightly altered, dependent on the
mode of work. This CellML description concentrates on mode 1 only,
where;
1) Beta-oxidation of fatty acids as the source of reducing
equivalents, fatty acids as a respiratory substrate, no additional ATP
supply (glycolysis), only "basal" ATP consumption (protein synthesis,
ion transport).</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#PCr">
<dcterms:alternative>phosphocreatine</dcterms:alternative>
<dc:title>PCr</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ATP_fe">
<dcterms:alternative>free external adenosine triphosphate</dcterms:alternative>
<dc:title>ATP_fe</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#619c74da-cd28-465e-acf0-0f945ef5fd9c">
<vCard:FN/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7f9ddd12-cfaf-4186-a0ef-50f2d9fb8817">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="#ATP_fi">
<dcterms:alternative>free internal adenosine triphosphate</dcterms:alternative>
<dc:title>ATP_fi</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#c_3">
<dcterms:alternative>oxidised cytochrome C</dcterms:alternative>
<dc:title>c_3</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d4b4f7ed-0ce1-4b1a-b6fe-4a9f3739ae88">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5d02548e-c67f-43db-be23-da37a9adafd4">
<vCard:N rdf:resource="rdf:#87030770-e8f0-444c-8261-96d91f3f887d"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8de6e6d2-fc29-4fe6-be17-c15f70d63bfe">
<dcterms:W3CDTF>2007-05-31T00:00:00+00:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3fe0af00-986f-4636-a426-ce0807a9500b">
<dc:creator rdf:resource="rdf:#406bebb1-5fb6-447b-8760-d44705699182"/>
<dc:title>A model of oxidative phosphorylation in mammaliam skeletal muscle</dc:title>
<bqs:volume>92</bqs:volume>
<bqs:first_page>17</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#cba17c30-fdc7-4b92-8077-09af944cf656"/>
<dcterms:issued rdf:resource="rdf:#d77acf2c-1ede-4937-913c-07c549271b1f"/>
<bqs:last_page>34</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e66cbeb3-7a7e-49bb-a44e-48a53cfe2dd1">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Pubmed_id"/>
</rdf:Description>
<rdf:Description rdf:about="#ATP_me">
<dcterms:alternative>external magnesium-complexed adenosine triphosphate</dcterms:alternative>
<dc:title>ATP_me</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#NADH">
<dcterms:alternative>reduced nicotinamide adenine dinucleotide</dcterms:alternative>
<dc:title>NADH</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a41a8212-05c7-479b-88cb-0698515f2879">
<dcterms:W3CDTF>2008-09-02T14:26:09+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#87030770-e8f0-444c-8261-96d91f3f887d">
<vCard:Given>James</vCard:Given>
<vCard:Family>Lawson</vCard:Family>
<vCard:Other>Richard</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#a_2">
<dcterms:alternative>reduced cytochrome a3</dcterms:alternative>
<dc:title>a_2</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#a_3">
<dcterms:alternative>oxidised cytochrome a3</dcterms:alternative>
<dc:title>a_3</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8b8163b2-319d-45c7-a40a-e47faa9f6aea">
<dcterms:modified rdf:resource="rdf:#6e0a7b65-1ab7-41f5-8e21-ebe8ddd411d4"/>
<rdf:value>Fixed error mentioned in https://tracker.physiomeproject.org/show_bug.cgi?id=219
Model still has invalid connection to be fixed.</rdf:value>
<cmeta:modifier rdf:resource="rdf:#ac2f6db7-4dcb-4658-a3dd-cc3873cce1df"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#14762c77-053c-400d-9c3c-96f1e61ce9cb">
<dcterms:W3CDTF>2007-06-05T09:48:29+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#cb4ec4f1-c2a6-412d-bda6-ba233362c0a9">
<dcterms:modified rdf:resource="rdf:#14762c77-053c-400d-9c3c-96f1e61ce9cb"/>
<rdf:value>The new version of this model has been re-coded to remove the reaction element and replace it with a simple MathML description of the model reaction kinetics. This is thought to be truer to the original publication, and information regarding the enzyme kinetics etc will later be added to the metadata through use of an ontology.
The model does not run in the PCEnv simulator because the model is overconstrained. But I can't work out which equation(s) or initial value(s) to remove. I suspect PCEnv is calculating the value of "u" itself from early equations.</rdf:value>
<cmeta:modifier rdf:resource="rdf:#32836ee8-de96-4743-b256-b639f37609f4"/>
</rdf:Description>
<rdf:Description rdf:about="#ATP_mi">
<dcterms:alternative>internal magnesium-complexed adenosine triphosphate</dcterms:alternative>
<dc:title>ATP_mi</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#59dd95fe-fab1-40a1-9c50-42ce894e1563">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#O2">
<dcterms:alternative>oxygen</dcterms:alternative>
<dc:title>O2</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#Mg_fi">
<dcterms:alternative>free internal magnesium</dcterms:alternative>
<dc:title>Mg_fi</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#Pi_ti">
<dcterms:alternative>total internal inorganic phosphate</dcterms:alternative>
<dc:title>Pi_ti</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ADP_fe">
<dcterms:alternative>free external adenosine diphosphate</dcterms:alternative>
<dc:title>ADP_fe</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#UQ">
<dcterms:alternative>oxidised ubiquinone</dcterms:alternative>
<dc:title>UQ</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ADP_fi">
<dcterms:alternative>free internal adenosine diphosphate</dcterms:alternative>
<dc:title>ADP_fi</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#170ecfd4-33a2-47d7-8672-bc3b9fa4f0c7">
<dc:creator rdf:resource="rdf:#619c74da-cd28-465e-acf0-0f945ef5fd9c"/>
<rdf:value/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6e0a7b65-1ab7-41f5-8e21-ebe8ddd411d4">
<dcterms:W3CDTF>2008-09-02T14:12:01+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#korzeniewski_zoladz_2001">
<dc:title>A dynamic model of oxidative phosphorylation</dc:title>
<cmeta:bio_entity>Skeletal Myocyte</cmeta:bio_entity>
<cmeta:comment rdf:resource="rdf:#a0e38777-775c-4304-af9c-186101cfd4d7"/>
<bqs:reference rdf:resource="rdf:#c9748210-79c0-4fce-ad42-c13db98d4893"/>
<bqs:reference rdf:resource="rdf:#cb035d8c-581e-4543-94bd-b20f3dcaec98"/>
<bqs:reference rdf:resource="rdf:#d4eacdc7-740a-42ca-8d93-6e377797852b"/>
<bqs:reference rdf:resource="rdf:#e66cbeb3-7a7e-49bb-a44e-48a53cfe2dd1"/>
<cmeta:species>Mammalia</cmeta:species>
</rdf:Description>
<rdf:Description rdf:about="#Mg_fe">
<dcterms:alternative>free external magnesium</dcterms:alternative>
<dc:title>Mg_fe</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#Pi_te">
<dcterms:alternative>total external inorganic phosphate</dcterms:alternative>
<dc:title>Pi_te</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ATP_ti">
<dcterms:alternative>total internal adenosine triphosphate</dcterms:alternative>
<dc:title>ATP_ti</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#c_2">
<dcterms:alternative>reduced cytochrome C</dcterms:alternative>
<dc:title>c_2</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1b2cdd5e-fe77-418b-8728-bc13bc9b1ae5">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c569626e-ff10-48e6-a204-c01771c962ce">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#9e2d92a5-df73-4ffb-b2cb-6c3a948cd503"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#d7af1f77-830b-4e54-bab7-6bb57c1e8254">
<vCard:Given>James</vCard:Given>
<vCard:Family>Lawson</vCard:Family>
<vCard:Other>Richard</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#63adb5d6-279f-4bc0-9c92-43816511de17">
<vCard:ORG rdf:resource="rdf:#348a6d34-b858-49cf-9034-c6320b569cbc"/>
<vCard:EMAIL rdf:resource="rdf:#1b2cdd5e-fe77-418b-8728-bc13bc9b1ae5"/>
<vCard:N rdf:resource="rdf:#d4b4f7ed-0ce1-4b1a-b6fe-4a9f3739ae88"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1b9fadcb-2a18-4d1f-b664-9be24e8de71b">
<dcterms:modified rdf:resource="rdf:#a41a8212-05c7-479b-88cb-0698515f2879"/>
<rdf:value>Deleted an extraneous connection element randomly sitting within a component element. Model still overconstrained.</rdf:value>
<cmeta:modifier rdf:resource="rdf:#5d02548e-c67f-43db-be23-da37a9adafd4"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#cba17c30-fdc7-4b92-8077-09af944cf656">
<dc:title>Biophysical Chemistry</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ATP_te">
<dcterms:alternative>total external adenosine triphosphate</dcterms:alternative>
<dc:title>ATP_te</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#cb035d8c-581e-4543-94bd-b20f3dcaec98">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Pubmed_id"/>
</rdf:Description>
<rdf:Description rdf:about="#ADP_me">
<dcterms:alternative>external magnesium-complexed adenosine diphosphate</dcterms:alternative>
<dc:title>ADP_me</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ADP_ti">
<dcterms:alternative>total internal adenosine diphosphate</dcterms:alternative>
<dc:title>ADP_ti</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9e2d92a5-df73-4ffb-b2cb-6c3a948cd503">
<vCard:Given>Jerzy</vCard:Given>
<vCard:Family>Zoladz</vCard:Family>
<vCard:Other>A</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#P_SUM">
<dcterms:alternative>total phosphate pool</dcterms:alternative>
<dc:title>P_SUM</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#Hi">
<dcterms:alternative>internal protons</dcterms:alternative>
<dc:title>Hi</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#AMP_e">
<dcterms:alternative>free external adenosine monophosphate</dcterms:alternative>
<dc:title>AMP_fe</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#885ea3be-7cfd-4728-a827-2ee20dee0e2e">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#1e71b557-5e57-4a50-8849-a7d75f085ed8"/>
</rdf:Description>
<rdf:Description rdf:about="#He">
<dcterms:alternative>external protons</dcterms:alternative>
<dc:title>He</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ac2f6db7-4dcb-4658-a3dd-cc3873cce1df">
<vCard:N rdf:resource="rdf:#d7af1f77-830b-4e54-bab7-6bb57c1e8254"/>
</rdf:Description>
<rdf:Description rdf:about="#ADP_mi">
<dcterms:alternative>internal magnesium-complexed adenosine diphosphate</dcterms:alternative>
<dc:title>ADP_mi</dc:title>
</rdf:Description>
<rdf:Description rdf:about="#ADP_te">
<dcterms:alternative>total external adenosine diphosphate</dcterms:alternative>
<dc:title>ADP_te</dc:title>
</rdf:Description>
</rdf:RDF>
</model>
