Location: Hynne, Dano, Sorensen, 2001 @ 47a9f2dc5085 / hynne_dano_sorensen_2001.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2009-06-17 14:39:58+12:00
Desc:
committing version02 of hynne_dano_sorensen_2001
Permanent Source URI:
https://models.physiomeproject.org/workspace/hynne_dano_sorensen_2001/rawfile/47a9f2dc5085d920f7b5f0279d18707d3dac9ca0/hynne_dano_sorensen_2001.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  hynne_model_2001.xml

CREATED :  18th September 2003

LAST MODIFIED : 18th September 2003

AUTHOR :  Catherine Lloyd
          Bioengineering Institute
          The University of Auckland
          
MODEL STATUS :  This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/1/02 CellML Metadata 1.0 Specification.

DESCRIPTION :  This file contains a CellML description of Hynee et al's 2001 full scale model of glycolysis in Saccharomyces cerevisiae

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="hynne_dano_sorensen_2001_version01" name="hynne_dano_sorensen_2001_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Full-scale model of glycolysis in Saccharomyces cerevisiae</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
            This is the original unchecked version of the model imported from the previous
            CellML model repository, 24-Jan-2006.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
Glycolysis is a metabolic pathway that has been comprehensively studied and when viewed qualitatively as a series of enzyme catalysed reaction steps, it is relatively well understood.  However, when the quantitative aspects of the biochemical pathway are considered, the situation becomes more complex.  Mathematical models encompass this complexity and make the pathway easier to understand.  Several mathematical models of glycolysis have been published, including: 
<itemizedlist>
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_BAKKER_MODEL}">Modelling Glycolysis in <emphasis>Trypanosoma brucei</emphasis>, Bakker <emphasis>et al</emphasis>., 1997;</ulink>
              </para>
            </listitem>  
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_GLYCOLYSIS}">The Glycolytic Metabolic Pathway in the Yeast <emphasis>Saccharomyces cerevisiae</emphasis>, 1997;</ulink>
              </para>
            </listitem> 
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_ERYTHROCYTE_METABOLISM}">2,3-bisphosphoglycerate Metabolism in the Human Erythrocyte, 1999;</ulink>
              </para>
            </listitem> 
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_BAKKER_MODEL2}">Bakker <emphasis>et al.</emphasis> Glycosomes Protects Trypanosomes From Glycolysis, 2000;</ulink>
              </para>
            </listitem>
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_TEUSINK_MODEL}">Teusink <emphasis>et al.</emphasis>, Understanding Yeast Glycolysis in Terms of the <emphasis>in vitro</emphasis> Kinetics of the Constituent Enzymes, 2000;</ulink>
              </para>
            </listitem>
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_WOLF_HEINRICH_MODEL}">Effect of Cellular Interaction on Glycolytic Oscillations in Yeast, 2000;</ulink>
              </para>
            </listitem> and
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_WOLF_MODEL}">Yeast Glycolytic Oscillations, 2000;</ulink>
              </para>
            </listitem>
  <listitem>
              <para>
                <ulink url="${HTML_EXMPL_LAMBETH_MODEL}">Lambeth and Kushmerick, Modelling Glycogenolysis in Skeletal Muscle, 2002.</ulink>
              </para>
            </listitem>
</itemizedlist> 
</para>

<para>
In this article, Hynne <emphasis>et al.</emphasis> present a general method for fitting a mathematical model of a biochemical pathway to experimental data when the mechanisms are known but the kinetic parameters are lacking.  Reaction rate constants and maximum velocities (Km and Vmax values, respectively) are calculated from the experimental data using algebraic equations. 
</para>

<para>
Using this method, the authors create a full-scale model of glycolysis and glycolytic oscillations in the yeast <emphasis>Saccharomyces cerevisiae</emphasis> (see <xref linkend="fig_reaction_diagram"/> below).  The results of model simulations were consistent with experimental data.    
</para>

<para>
The raw CellML description of the Hynne <emphasis>et al.</emphasis> model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>).     
</para>

<para>
The complete original paper reference is cited below:
</para>

<para>
<ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;_udi=B6TFB-44MG0YJ-D&amp;_user=140507&amp;_coverDate=12%2F11%2F2001&amp;_alid=113921094&amp;_rdoc=1&amp;_fmt=summary&amp;_orig=search&amp;_qd=1&amp;_cdi=5222&amp;_sort=d&amp;_docanchor=&amp;view=c&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=6a6cb5565c7477a5b14456b6b39b8c74">Full-scale model of glycolysis in <emphasis>Saccharomyces cerevisiae</emphasis>
          </ulink>, F. Hynne, S. Danø, and P. G. Sørensen , 2001, <ulink url="http://www.sciencedirect.com/science?_ob=JournalURL&amp;_cdi=5222&amp;_auth=y&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=7d06a1ef3b4293bc0633b8269aa54192">
            <emphasis>Biophysical Chemistry</emphasis>
          </ulink>, 94, 121-163.  (<ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;_udi=B6TFB-44MG0YJ-D&amp;_coverDate=12%2F11%2F2001&amp;_alid=113921094&amp;_rdoc=1&amp;_fmt=&amp;_orig=search&amp;_qd=1&amp;_cdi=5222&amp;_sort=d&amp;view=c&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=398f0dff8df18bdb2f942a5092b242e0">Full text (HTML)</ulink> and PDF versions of the article are available on the <emphasis>Biophysical Chemistry</emphasis> website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=11744196&amp;dopt=Abstract">PubMed ID: 11744196</ulink>
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>reaction diagram</title>
    </objectinfo>
    <imagedata fileref="hynne_2001.png"/>
  </imageobject>
</mediaobject>
<caption>The glycolysis pathway described by the mathematical model.</caption>
</informalfigure>

</sect1>
</article>
</documentation>
  
  
  <!--
    Below, we define some additional units for association with variables and
    mitochondrial_membrane within the model. 
  -->
  
  <units name="millimolar">
    <unit units="mole" prefix="milli"/>
    <unit units="litre" exponent="-1"/>
  </units>
  
  <units name="minute">
    <unit units="second" multiplier="60.0"/>
  </units>
  
  <units name="flux">
    <unit units="millimolar"/>
    <unit units="minute" exponent="-1"/>
  </units>
  
  <units name="first_order_rate_constant">
    <unit units="minute" exponent="-1"/>
  </units>
  
  <units name="second_order_rate_constant">
    <unit units="millimolar" exponent="-1"/>
    <unit units="minute" exponent="-1"/>
  </units>
  
  
  <component name="environment">
    <variable units="minute" public_interface="out" name="time"/>
  </component>
  
  <!--
    The following components describe all the reactants and products involved in
    reactions. 
  -->
  
  <component name="Glc_x_0" cmeta:id="Glc_x_0">
    <rdf:RDF>
      <rdf:Description rdf:about="Glc_x_0">
        <dc:title>Glc_x_0</dc:title>
        <dcterms:alternative>extracellular glucose</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="Glc_x_0" initial_value="18.5"/>
  </component>
  
  <component name="Glc_x" cmeta:id="Glc_x">
    <rdf:RDF>
      <rdf:Description rdf:about="Glc_x">
        <dc:title>Glc_x</dc:title>
        <dcterms:alternative>cytosolic glucose</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="Glc_x" initial_value="1.55307"/>
    <variable units="flux" public_interface="in" name="GlcTrans"/> 
    <variable units="flux" public_interface="in" name="inGlc"/>
    <variable units="minute" public_interface="in" name="time"/>
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          <diff/> 
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            <ci>time</ci>
          </bvar> 
          <ci>Glc_x</ci> 
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        <apply>
          <plus/>
          <ci>inGlc</ci>
          <ci>GlcTrans</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="Glc" cmeta:id="Glc">
    <rdf:RDF>
      <rdf:Description rdf:about="Glc">
        <dc:title>Glc</dc:title>
        <dcterms:alternative>cytosolic glucose</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="Glc" initial_value="0.573074"/>
    <variable units="flux" public_interface="in" name="GlcTrans"/> 
    <variable units="flux" public_interface="in" name="HK"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
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            <ci>time</ci>
          </bvar> 
          <ci>Glc</ci> 
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        <apply>
          <plus/>
          <ci>GlcTrans</ci>
          <ci>HK</ci>
        </apply> 
      </apply> 
    </math>  
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    <rdf:RDF>
      <rdf:Description rdf:about="G6P">
        <dc:title>G6P</dc:title>
        <dcterms:alternative>glucose-6-phopshate</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="G6P" initial_value="4.2"/>
    <variable units="flux" public_interface="in" name="PGI"/> 
    <variable units="flux" public_interface="in" name="HK"/>
    <variable units="flux" public_interface="in" name="storage"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>G6P</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>HK</ci>
          <ci>PGI</ci>
          <ci>storage</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="F6P" cmeta:id="F6P">
    <rdf:RDF>
      <rdf:Description rdf:about="F6P">
        <dc:title>F6P</dc:title>
        <dcterms:alternative>fructose-6 phopshate</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="F6P" initial_value="0.49"/>
    <variable units="flux" public_interface="in" name="PGI"/> 
    <variable units="flux" public_interface="in" name="PFK"/>
    <variable units="minute" public_interface="in" name="time"/>
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      <apply>
        <eq/> 
        <apply>
          <diff/> 
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            <ci>time</ci>
          </bvar> 
          <ci>F6P</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>PGI</ci>
          <ci>PFK</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="FBP" cmeta:id="FBP">
    <rdf:RDF>
      <rdf:Description rdf:about="FBP">
        <dc:title>FBP</dc:title>
        <dcterms:alternative>fructose-1,6 bisphopshate</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="FBP" initial_value="4.64"/>
    <variable units="flux" public_interface="in" name="PFK"/> 
    <variable units="flux" public_interface="in" name="ALD"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>FBP</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>PFK</ci>
          <ci>ALD</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="GAP" cmeta:id="GAP">
    <rdf:RDF>
      <rdf:Description rdf:about="GAP">
        <dc:title>GAP</dc:title>
        <dcterms:alternative>glyceraldehyde-3-phopshate</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="GAP" initial_value="0.115"/>
    <variable units="flux" public_interface="in" name="GAPDH"/> 
    <variable units="flux" public_interface="in" name="ALD"/>
    <variable units="flux" public_interface="in" name="TIM"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>GAP</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>ALD</ci>
          <ci>TIM</ci>
          <ci>GAPDH</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="DHAP" cmeta:id="DHAP">
    <rdf:RDF>
      <rdf:Description rdf:about="DHAP">
        <dc:title>DHAP</dc:title>
        <dcterms:alternative>1,3-diphosphoglycerate</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="DHAP" initial_value="2.95"/>
    <variable units="flux" public_interface="in" name="ALD"/> 
    <variable units="flux" public_interface="in" name="TIM"/>
    <variable units="minute" public_interface="in" name="time"/>
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      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>DHAP</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>ALD</ci>
          <ci>TIM</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="BPG" cmeta:id="BPG">
    <rdf:RDF>
      <rdf:Description rdf:about="BPG">
        <dc:title>BPG</dc:title>
        <dcterms:alternative>1,3-bisphosphoglycerate</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
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        <dc:title>PEP</dc:title>
        <dcterms:alternative>phosphoenolpyruvate</dcterms:alternative>  
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      </apply> 
    </math>  
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    <rdf:RDF>
      <rdf:Description rdf:about="Pyr">
        <dc:title>Pyr</dc:title>
        <dcterms:alternative>pyruvate</dcterms:alternative>  
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    <variable units="millimolar" public_interface="out" name="Pyr" initial_value="8.7"/>
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    <variable units="flux" public_interface="in" name="PDC"/>
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      <apply>
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          <ci>Pyr</ci> 
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  <component name="ATP" cmeta:id="ATP">
    <rdf:RDF>
      <rdf:Description rdf:about="ATP">
        <dc:title>ATP</dc:title>
        <dcterms:alternative>adenosine triphosphate</dcterms:alternative>  
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          <ci>PFK</ci>
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          <ci>HK</ci>
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    <rdf:RDF>
      <rdf:Description rdf:about="ADP">
        <dc:title>ADP</dc:title>
        <dcterms:alternative>adenosine diphosphate</dcterms:alternative>  
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            <times/>
            <cn cellml:units="dimensionless"> 2.0 </cn>
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    <rdf:RDF>
      <rdf:Description rdf:about="AMP">
        <dc:title>AMP</dc:title>
        <dcterms:alternative>adenosine monophosphate</dcterms:alternative>  
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            <ci>time</ci>
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          <ci>AMP</ci> 
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        <ci>AK</ci>
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    <rdf:RDF>
      <rdf:Description rdf:about="CN_x_0">
        <dc:title>CN_x_0</dc:title>
        <dcterms:alternative>mixed flow concentration of cyanide</dcterms:alternative>  
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  <component name="CN_x" cmeta:id="CN_x">
    <rdf:RDF>
      <rdf:Description rdf:about="CN_x">
        <dc:title>CN_x</dc:title>
        <dcterms:alternative>total concentration of adenosine phosphates</dcterms:alternative>  
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    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="CN_x" initial_value="5.20358"/>
    <variable units="flux" public_interface="in" name="lacto"/>
    <variable units="flux" public_interface="in" name="inCN"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>CN_x</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>lacto</ci>
          <ci>inCN</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="ACA" cmeta:id="ACA">
    <rdf:RDF>
      <rdf:Description rdf:about="ACA">
        <dc:title>ACA</dc:title>
        <dcterms:alternative>acetyl coenzymeA</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="ACA"/>
    <variable units="flux" public_interface="in" name="difACA"/>
    <variable units="flux" public_interface="in" name="PDC"/>
    <variable units="flux" public_interface="in" name="ADH"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>ACA</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>difACA</ci>
          <ci>PDC</ci>
          <ci>ADH</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="ACA_x" cmeta:id="ACA_x">
    <rdf:RDF>
      <rdf:Description rdf:about="ACA_x">
        <dc:title>ACA_x</dc:title>
        <dcterms:alternative>acetyl coenzymeA</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="ACA_x" initial_value="1.28836"/>
    <variable units="flux" public_interface="in" name="lacto"/>
    <variable units="flux" public_interface="in" name="difACA"/>
    <variable units="flux" public_interface="in" name="outACA"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>ACA_x</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>lacto</ci>
          <ci>difACA</ci>
          <ci>outACA</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="EtOH" cmeta:id="EtOH">
    <rdf:RDF>
      <rdf:Description rdf:about="EtOH">
        <dc:title>EtOH</dc:title>
        <dcterms:alternative>ethanol</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="EtOH" initial_value="19.2379"/>
    <variable units="flux" public_interface="in" name="difEtOH"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>EtOH</ci> 
        </apply>
        <ci>difEtOH</ci>
      </apply> 
    </math>  
  </component>
  
  <component name="EtOH_x" cmeta:id="EtOH_x">
    <rdf:RDF>
      <rdf:Description rdf:about="EtOH_x">
        <dc:title>EtOH_x</dc:title>
        <dcterms:alternative>ethanol</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="EtOH_x" initial_value="16.4514"/>
    <variable units="flux" public_interface="in" name="difEtOH"/>
    <variable units="flux" public_interface="in" name="outEtOH"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>EtOH_x</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>difEtOH</ci>
          <ci>outEtOH</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="Glyc" cmeta:id="Glyc">
    <rdf:RDF>
      <rdf:Description rdf:about="Glyc">
        <dc:title>Glyc</dc:title>
        <dcterms:alternative>glycogen</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="Glyc" initial_value="4.196"/>
    <variable units="flux" public_interface="in" name="difGlyc"/>
    <variable units="flux" public_interface="in" name="lpGlyc"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>Glyc</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>difGlyc</ci>
          <ci>lpGlyc</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="Glyc_x" cmeta:id="Glyc_x">
    <rdf:RDF>
      <rdf:Description rdf:about="Glyc_x">
        <dc:title>Glyc_x</dc:title>
        <dcterms:alternative>glycogen</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="Glyc_x" initial_value="1.68478"/>
    <variable units="flux" public_interface="in" name="difGlyc"/>
    <variable units="flux" public_interface="in" name="outGlyc"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>Glyc_x</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>difGlyc</ci>
          <ci>outGlyc</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="NADH" cmeta:id="NADH">
    <rdf:RDF>
      <rdf:Description rdf:about="NADH">
        <dc:title>NADH</dc:title>
        <dcterms:alternative>nicotinamide adenine dinucleotide</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="NADH" initial_value="0.33"/>
    <variable units="flux" public_interface="in" name="GAPDH"/>
    <variable units="flux" public_interface="in" name="ADH"/>
    <variable units="flux" public_interface="in" name="lpGlyc"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>NADH</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>GAPDH</ci>
          <ci>ADH</ci>
          <ci>lpGlyc</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="NAD" cmeta:id="NAD">
    <rdf:RDF>
      <rdf:Description rdf:about="NAD">
        <dc:title>NAD</dc:title>
        <dcterms:alternative>nicotinamide adenine dinucleotide positive</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="NAD" initial_value="0.65"/>
    <variable units="flux" public_interface="in" name="GAPDH"/>
    <variable units="flux" public_interface="in" name="ADH"/>
    <variable units="flux" public_interface="in" name="lpGlyc"/>
    <variable units="minute" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>NAD</ci> 
        </apply>
        <apply>
          <plus/>
          <ci>GAPDH</ci>
          <ci>ADH</ci>
          <ci>lpGlyc</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <!--
    The following components describe the reactions of the model.
  -->
  
  <component name="inGlc">
    <variable units="flux" public_interface="out" name="inGlc"/>
    
    <variable units="millimolar" public_interface="in" name="Glc_x_0"/>
    <variable units="millimolar" public_interface="in" name="Glc_x"/>
    
    <variable units="first_order_rate_constant" name="k0" initial_value="0.048"/>
    <variable units="dimensionless" name="y_vol" initial_value="59.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="inGlc_calculation">
        <eq/>
        <ci> inGlc </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> y_vol </ci>
            <ci> k0 </ci>
            <ci> Glc_x_0 </ci>
          </apply>
          <apply>
            <times/>
            <ci> y_vol </ci>
            <ci> k0 </ci>
            <ci> Glc_x </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="GlcTrans">
    <variable units="flux" public_interface="out" name="GlcTrans"/>
    
    <variable units="millimolar" public_interface="in" name="Glc_x"/>
    <variable units="millimolar" public_interface="in" name="Glc"/>
    <variable units="millimolar" public_interface="in" name="G6P"/>
    
    <variable units="millimolar" name="K2_Glc" initial_value="1.7"/>
    <variable units="millimolar" name="K2_IG6P" initial_value="1.2"/>
    <variable units="millimolar" name="K2_IIG6P" initial_value="7.2"/>
    <variable units="second_order_rate_constant" name="V_2m" initial_value="0.01496E3"/>
    <variable units="millimolar" name="P2" initial_value="1.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="GlcTrans_calculation">
        <eq/>
        <ci> GlcTrans </ci>
        <apply>
          <minus/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_2m </ci>
              <apply>
                <divide/>
                <ci> Glc_x </ci>
                <ci> K2_Glc </ci>
              </apply>
            </apply>
            <apply>
              <plus/>
              <cn cellml:units="dimensionless"> 1.0 </cn>
              <apply>
                <divide/>
                <ci> Glc_x </ci>
                <ci> K2_Glc </ci>
              </apply>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <apply>
                    <plus/>
                    <apply>
                      <times/>
                      <ci> P2 </ci>
                      <apply>
                        <divide/>
                        <ci> Glc_x </ci>
                        <ci> K2_Glc </ci>
                      </apply>
                    </apply>
                    <cn cellml:units="dimensionless"> 1.0 </cn>
                  </apply>
                  <apply>
                    <plus/>
                    <apply>
                      <times/>
                      <ci> P2 </ci>
                      <apply>
                        <divide/>
                        <ci> Glc </ci>
                        <ci> K2_Glc </ci>
                      </apply>
                    </apply>
                    <cn cellml:units="dimensionless"> 1.0 </cn>
                  </apply>
                </apply>
                <apply>
                  <plus/>
                  <cn cellml:units="dimensionless"> 1.0 </cn>
                  <apply>
                    <divide/>
                    <ci> Glc </ci>
                    <ci> K2_Glc </ci>
                  </apply>
                </apply>
              </apply>
              <apply>
                <divide/>
                <ci> G6P </ci>
                <ci> K2_IG6P </ci>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> Glc </ci>
                  <ci> G6P </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K2_Glc </ci>
                  <ci> K2_IIG6P </ci>
                </apply>
              </apply>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_2m </ci>
              <apply>
                <divide/>
                <ci> Glc </ci>
                <ci> K2_Glc </ci>
              </apply>
            </apply>
            <apply>
              <plus/>
              <cn cellml:units="dimensionless"> 1.0 </cn>
              <apply>
                <divide/>
                <ci> Glc </ci>
                <ci> K2_Glc </ci>
              </apply>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <apply>
                    <plus/>
                    <apply>
                      <times/>
                      <ci> P2 </ci>
                      <apply>
                        <divide/>
                        <ci> Glc </ci>
                        <ci> K2_Glc </ci>
                      </apply>
                    </apply>
                    <cn cellml:units="dimensionless"> 1.0 </cn>
                  </apply>
                  <apply>
                    <plus/>
                    <apply>
                      <times/>
                      <ci> P2 </ci>
                      <apply>
                        <divide/>
                        <ci> Glc_x </ci>
                        <ci> K2_Glc </ci>
                      </apply>
                    </apply>
                    <cn cellml:units="dimensionless"> 1.0 </cn>
                  </apply>
                </apply>
                <apply>
                  <plus/>
                  <cn cellml:units="dimensionless"> 1.0 </cn>
                  <apply>
                    <divide/>
                    <ci> Glc_x </ci>
                    <ci> K2_Glc </ci>
                  </apply>
                </apply>
              </apply>
              <apply>
                <divide/>
                <ci> G6P </ci>
                <ci> K2_IG6P </ci>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> Glc </ci>
                  <ci> G6P </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K2_Glc </ci>
                  <ci> K2_IIG6P </ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="HK">
    <variable units="flux" public_interface="out" name="HK"/>
    
    <variable units="millimolar" public_interface="in" name="Glc"/>
    <variable units="millimolar" public_interface="in" name="ATP"/>
    
    <variable units="millimolar" name="K3_DGlc" initial_value="0.37"/>
    <variable units="millimolar" name="K3_Glc" initial_value="0.0"/>
    <variable units="millimolar" name="K3_ATP" initial_value="0.1"/>
    <variable units="second_order_rate_constant" name="V_3m" initial_value="5.17547E1"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="HK_calculation">
        <eq/>
        <ci> HK </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_3m </ci>
            <ci> ATP </ci>
            <ci> Glc </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> K3_DGlc </ci>
              <ci> K3_ATP </ci>
            </apply>
            <apply>
              <times/>
              <ci> K3_Glc </ci>
              <ci> ATP </ci>
            </apply>
            <apply>
              <times/>
              <ci> K3_ATP </ci>
              <ci> Glc </ci>
            </apply>
            <apply>
              <times/>
              <ci> Glc </ci>
              <ci> ATP </ci>
            </apply>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="PGI">
    <variable units="flux" public_interface="out" name="PGI"/>
    
    <variable units="millimolar" public_interface="in" name="G6P"/>
    <variable units="millimolar" public_interface="in" name="F6P"/>
    
    <variable units="second_order_rate_constant" name="V_4m" initial_value="4.96042E2"/>
    <variable units="millimolar" name="K4_G6P" initial_value="0.8"/>
    <variable units="millimolar" name="K4_F6P" initial_value="0.15"/>
    <variable units="millimolar" name="K4_eq" initial_value="0.13"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="PGI_calculation">
        <eq/>
        <ci> PGI </ci>
        <apply>
          <minus/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_4m </ci>
              <ci> G6P </ci>
            </apply>
            <apply>
              <plus/>
              <ci> K4_G6P </ci>
              <ci> G6P </ci>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci> K4_G6P </ci>
                  <ci> K4_F6P </ci>
                </apply>
                <ci> F6P </ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_4m </ci>
              <apply>
                <divide/>
                <ci> F6P </ci>
                <ci> K4_eq </ci>
              </apply>
            </apply>
            <apply>
              <plus/>
              <ci> K4_G6P </ci>
              <ci> G6P </ci>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci> K4_G6P </ci>
                  <ci> K4_F6P </ci>
                </apply>
                <ci> F6P </ci>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="PFK">
    <variable units="flux" public_interface="out" name="PFK"/>
    
    <variable units="millimolar" public_interface="in" name="F6P"/>
    <variable units="millimolar" public_interface="in" name="ATP"/>
    <variable units="millimolar" public_interface="in" name="AMP"/>
    
    <variable units="millimolar" name="K5" initial_value="0.021"/>
    <variable units="millimolar" name="k5" initial_value="0.15"/>
    <variable units="second_order_rate_constant" name="V_5m" initial_value="4.54327E1"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="PFK_calculation">
        <eq/>
        <ci> PFK </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_5m </ci>
            <apply>
              <power/>
              <ci> F6P </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> K5 </ci>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <times/>
                  <ci> k5 </ci>
                  <apply>
                    <divide/>
                    <ci> ATP </ci>
                    <ci> AMP </ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <power/>
              <ci> F6P </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="ALD">
    <variable units="flux" public_interface="out" name="ALD"/>
    
    <variable units="millimolar" public_interface="in" name="GAP"/>
    <variable units="millimolar" public_interface="in" name="DHAP"/>
    <variable units="millimolar" public_interface="in" name="FBP"/>
    
    <variable units="millimolar" name="K6_eq" initial_value="0.081"/>
    <variable units="millimolar" name="K6_FBP" initial_value="0.3"/>
    <variable units="millimolar" name="K6_DHAP" initial_value="2.0"/>
    <variable units="millimolar" name="K6_GAP" initial_value="4.0"/>
    <variable units="millimolar" name="K6_IGAP" initial_value="10.0"/>
    <variable units="second_order_rate_constant" name="V_6r" initial_value="1.10391E4"/>
    <variable units="second_order_rate_constant" name="V_6f" initial_value="2.20782E3"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="ALD_calculation">
        <eq/>
        <ci> ALD </ci>
        <apply>
          <minus/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_6f </ci>
              <ci> FBP </ci>
            </apply>
            <apply>
              <plus/>
              <ci> K6_FBP </ci>
              <ci> FBP </ci>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> GAP </ci>
                  <ci> K6_DHAP </ci>
                  <ci> V_6f </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K6_eq </ci>
                  <ci> V_6r </ci>
                </apply>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> DHAP </ci>
                  <ci> K6_GAP </ci>
                  <ci> V_6f </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K6_eq </ci>
                  <ci> V_6r </ci>
                </apply>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> FBP </ci>
                  <ci> GAP </ci>
                </apply>
                <ci> K6_IGAP </ci>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> GAP </ci>
                  <ci> DHAP </ci>
                  <ci> V_6f </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K6_eq </ci>
                  <ci> V_6r </ci>
                </apply>
              </apply>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_6f </ci>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> GAP </ci>
                  <ci> DHAP </ci>
                </apply>
                <ci> K6_eq </ci>
              </apply>
            </apply>
            <apply>
              <plus/>
              <ci> K6_FBP </ci>
              <ci> FBP </ci>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> GAP </ci>
                  <ci> K6_DHAP </ci>
                  <ci> V_6f </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K6_eq </ci>
                  <ci> V_6r </ci>
                </apply>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> DHAP </ci>
                  <ci> K6_GAP </ci>
                  <ci> V_6f </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K6_eq </ci>
                  <ci> V_6r </ci>
                </apply>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> FBP </ci>
                  <ci> GAP </ci>
                </apply>
                <ci> K6_IGAP </ci>
              </apply>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> GAP </ci>
                  <ci> DHAP </ci>
                  <ci> V_6f </ci>
                </apply>
                <apply>
                  <times/>
                  <ci> K6_eq </ci>
                  <ci> V_6r </ci>
                </apply>
              </apply>
            </apply>
          </apply> 
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="TIM">
    <variable units="flux" public_interface="out" name="TIM"/>
    
    <variable units="millimolar" public_interface="in" name="GAP"/>
    <variable units="millimolar" public_interface="in" name="DHAP"/>
    
    <variable units="millimolar" name="K7_eq" initial_value="0.055"/>
    <variable units="millimolar" name="K7_DHAP" initial_value="1.23"/>
    <variable units="millimolar" name="K7_GAP" initial_value="1.27"/>
    <variable units="second_order_rate_constant" name="V_7m" initial_value="1.16365E2"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="TIM_calculation">
        <eq/>
        <ci> TIM </ci>
        <apply>
          <minus/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_7m </ci>
              <ci> DHAP </ci>
            </apply>
            <apply>
              <plus/>
              <ci> K7_DHAP </ci>
              <ci> DHAP </ci>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci> K7_DHAP </ci>
                  <ci> K7_GAP </ci>
                </apply>
                <ci> GAP </ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_7m </ci>
              <apply>
                <divide/>
                <ci> GAP </ci>
                <ci> K7_eq </ci>
              </apply>
            </apply>
            <apply>
              <plus/>
              <ci> K7_DHAP </ci>
              <ci> DHAP </ci>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci> K7_DHAP </ci>
                  <ci> K7_GAP </ci>
                </apply>
                <ci> GAP </ci>
              </apply>
            </apply>
          </apply> 
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="GAPDH">
    <variable units="flux" public_interface="out" name="GAPDH"/>
    
    <variable units="millimolar" public_interface="in" name="GAP"/>
    <variable units="millimolar" public_interface="in" name="NAD"/>
    <variable units="millimolar" public_interface="in" name="NADH"/>
    <variable units="millimolar" public_interface="in" name="BPG"/>
    
    <variable units="millimolar" name="K8_NAD" initial_value="0.1"/>
    <variable units="millimolar" name="K8_NADH" initial_value="0.06"/>
    <variable units="millimolar" name="K8_GAP" initial_value="0.6"/>
    <variable units="millimolar" name="K8_BPG" initial_value="0.01"/>
    <variable units="millimolar" name="K8_eq" initial_value="0.0055"/>
    <variable units="second_order_rate_constant" name="V_8m" initial_value="8.33858E2"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="GAPDH_calculation">
        <eq/>
        <ci> GAPDH </ci>
        <apply>
          <minus/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_8m </ci>
              <ci> GAP </ci>
              <ci> NAD </ci>
            </apply>
            <apply>
              <times/>
              <ci> K8_GAP </ci>
              <ci> K8_NAD </ci>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <divide/>
                  <ci> GAP </ci>
                  <ci> K8_GAP </ci>
                </apply>
                <apply>
                  <divide/>
                  <ci> BPG </ci>
                  <ci> K8_BPG </ci>
                </apply>
              </apply>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <divide/>
                  <ci> NAD </ci>
                  <ci> K8_NAD </ci>
                </apply>
                <apply>
                  <divide/>
                  <ci> NADH </ci>
                  <ci> K8_NADH </ci>
                </apply>
              </apply>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> V_8m </ci>
              <apply>
                <divide/>
                <apply>
                  <times/>
                  <ci> BPG </ci>
                  <ci> NADH </ci>
                </apply>
                <ci> K8_eq </ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> K8_GAP </ci>
              <ci> K8_NAD </ci>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <divide/>
                  <ci> GAP </ci>
                  <ci> K8_GAP </ci>
                </apply>
                <apply>
                  <divide/>
                  <ci> BPG </ci>
                  <ci> K8_BPG </ci>
                </apply>
              </apply>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <divide/>
                  <ci> NAD </ci>
                  <ci> K8_NAD </ci>
                </apply>
                <apply>
                  <divide/>
                  <ci> NADH </ci>
                  <ci> K8_NADH </ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="lpPEP">
    <variable units="flux" public_interface="out" name="lpPEP"/>
    
    <variable units="millimolar" public_interface="in" name="PEP"/>
    <variable units="millimolar" public_interface="in" name="ADP"/>
    <variable units="millimolar" public_interface="in" name="ATP"/>
    <variable units="millimolar" public_interface="in" name="BPG"/>
    
    <variable units="second_order_rate_constant" name="k9f" initial_value="4.43866E5"/>
    <variable units="second_order_rate_constant" name="k9r" initial_value="1.52862E3"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="lpPEP_calculation">
        <eq/>
        <ci> lpPEP </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k9f </ci>
            <ci> BPG </ci>
            <ci> ADP </ci>
          </apply>
          <apply>
            <times/>
            <ci> k9r </ci>
            <ci> PEP </ci>
            <ci> ATP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="PK">
    <variable units="flux" public_interface="out" name="PK"/>
    
    <variable units="millimolar" public_interface="in" name="PEP"/>
    <variable units="millimolar" public_interface="in" name="ADP"/>
    
    <variable units="millimolar" name="K10_PEP" initial_value="0.2"/>
    <variable units="millimolar" name="K10_ADP" initial_value="0.17"/>
    <variable units="second_order_rate_constant" name="V_10m" initial_value="3.43096E2"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="PK_calculation">
        <eq/>
        <ci> PK </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_10m </ci>
            <ci> ADP </ci>
            <ci> PEP </ci>
          </apply>
          <apply>
            <times/>
            <apply>
              <plus/>
              <ci> K10_PEP </ci>
              <ci> PEP </ci>
            </apply>
            <apply>
              <plus/>
              <ci> K10_ADP </ci>
              <ci> ADP </ci>
            </apply>
          </apply>
        </apply>
      </apply>        
    </math>
  </component>
  
  <component name="PDC">
    <variable units="flux" public_interface="out" name="PDC"/>
    
    <variable units="millimolar" public_interface="in" name="Pyr"/>
    
    <variable units="millimolar" name="K11" initial_value="0.3"/>
    <variable units="second_order_rate_constant" name="V_11m" initial_value="5.31328E1"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="PDC_calculation">
        <eq/>
        <ci> PDC </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_11m </ci>
            <ci> Pyr </ci>
          </apply>
          <apply>
            <plus/>
            <ci> K11 </ci>
            <ci> Pyr </ci>
          </apply>
        </apply>
      </apply>        
    </math>
  </component>
  
  <component name="ADH">
    <variable units="flux" public_interface="out" name="ADH"/>
    
    <variable units="millimolar" public_interface="in" name="NADH"/>
    <variable units="millimolar" public_interface="in" name="ACA"/>
    
    <variable units="millimolar" name="K12_NADH" initial_value="0.1"/>
    <variable units="millimolar" name="K12_ACA" initial_value="0.71"/>
    <variable units="second_order_rate_constant" name="V_12m" initial_value="8.98023E1"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="ADH_calculation">
        <eq/>
        <ci> ADH </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_12m </ci>
            <ci> ACA </ci>
            <ci> NADH </ci>
          </apply>
          <apply>
            <times/>
            <apply>
              <plus/>
              <ci> K12_NADH </ci>
              <ci> NADH </ci>
            </apply>
            <apply>
              <plus/>
              <ci> K12_ACA </ci>
              <ci> ACA </ci>
            </apply>
          </apply>
        </apply>
      </apply>        
    </math>
  </component>
  
  <component name="difEtOH">
    <variable units="flux" public_interface="out" name="difEtOH"/>
    
    <variable units="millimolar" public_interface="in" name="EtOH_x"/>
    <variable units="millimolar" public_interface="in" name="EtOH"/>
    
    <variable units="first_order_rate_constant" name="k13" initial_value="16.72"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="difEtOH_calculation">
        <eq/>
        <ci> difEtOH </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k13 </ci>
            <ci> EtOH </ci>
          </apply>
          <apply>
            <times/>
            <ci> k13 </ci>
            <ci> EtOH_x </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="outEtOH">
    <variable units="flux" public_interface="out" name="outEtOH"/>
    
    <variable units="millimolar" public_interface="in" name="EtOH_x"/>
    
    <variable units="first_order_rate_constant" name="k0" initial_value="0.048"/>
    <variable units="dimensionless" name="y_vol" initial_value="59.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="outEtOH_calculation">
        <eq/>
        <ci> outEtOH </ci>
        <apply>
          <times/>
          <ci> y_vol </ci>
          <ci> k0 </ci>
          <ci> EtOH_x </ci>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="lpGlyc">
    <variable units="flux" public_interface="out" name="lpGlyc"/>
    
    <variable units="millimolar" public_interface="in" name="NAD"/>
    <variable units="millimolar" public_interface="in" name="NADH"/>
    <variable units="millimolar" public_interface="in" name="DHAP"/>
    
    <variable units="millimolar" name="K15_NADH" initial_value="0.13"/>
    <variable units="millimolar" name="K15_INADH" initial_value="0.043"/>
    <variable units="millimolar" name="K15_INAD" initial_value="0.13"/>
    <variable units="millimolar" name="K15_DHAP" initial_value="25.0"/>
    <variable units="second_order_rate_constant" name="V_15m" initial_value="8.14797E1"/>
    
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="lpGlyc_calculation">
        <eq/>
        <ci> lpGlyc </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V_15m </ci>
            <ci> DHAP </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> K15_DHAP </ci>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <times/>
                  <apply>
                    <divide/>
                    <ci> K15_INADH </ci>
                    <ci> NADH </ci>
                  </apply>
                  <apply>
                    <plus/>
                    <cn cellml:units="dimensionless"> 1.0 </cn>
                    <apply>
                      <divide/>
                      <ci> NAD </ci>
                      <ci> K15_INAD </ci>
                    </apply>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci> DHAP </ci>
              <apply>
                <plus/>
                <cn cellml:units="dimensionless"> 1.0 </cn>
                <apply>
                  <times/>
                  <apply>
                    <divide/>
                    <ci> K15_NADH </ci>
                    <ci> NADH </ci>
                  </apply>
                  <apply>
                    <plus/>
                    <cn cellml:units="dimensionless"> 1.0 </cn>
                    <apply>
                      <divide/>
                      <ci> NAD </ci>
                      <ci> K15_INAD </ci>
                    </apply>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="difGlyc">
    <variable units="flux" public_interface="out" name="difGlyc"/>
    
    <variable units="millimolar" public_interface="in" name="Glyc_x"/>
    <variable units="millimolar" public_interface="in" name="Glyc"/>
    
    <variable units="first_order_rate_constant" name="k16" initial_value="1.9"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="difGlyc_calculation">
        <eq/>
        <ci> difGlyc </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k16 </ci>
            <ci> Glyc </ci>
          </apply>
          <apply>
            <times/>
            <ci> k16 </ci>
            <ci> Glyc_x </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="outGlyc">
    <variable units="flux" public_interface="out" name="outGlyc"/>
    
    <variable units="millimolar" public_interface="in" name="Glyc_x"/>
    
    <variable units="first_order_rate_constant" name="k0" initial_value="0.048"/>
    <variable units="dimensionless" name="y_vol" initial_value="59.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="outGlyc_calculation">
        <eq/>
        <ci> outGlyc </ci>
        <apply>
          <times/>
          <ci> y_vol </ci>
          <ci> k0 </ci>
          <ci> Glyc_x </ci>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="difACA">
    <variable units="flux" public_interface="out" name="difACA"/>
    
    <variable units="millimolar" public_interface="in" name="ACA_x"/>
    <variable units="millimolar" public_interface="in" name="ACA"/>
    
    <variable units="first_order_rate_constant" name="k18" initial_value="24.7"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="difACA_calculation">
        <eq/>
        <ci> difACA </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k18 </ci>
            <ci> ACA </ci>
          </apply>
          <apply>
            <times/>
            <ci> k18 </ci>
            <ci> ACA_x </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="outACA">
    <variable units="flux" public_interface="out" name="outACA"/>
    
    <variable units="millimolar" public_interface="in" name="ACA_x"/>
    
    <variable units="first_order_rate_constant" name="k0" initial_value="0.048"/>
    <variable units="dimensionless" name="y_vol" initial_value="59.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="outACA_calculation">
        <eq/>
        <ci> outACA </ci>
        <apply>
          <times/>
          <ci> y_vol </ci>
          <ci> k0 </ci>
          <ci> ACA_x </ci>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="lacto">
    <variable units="flux" public_interface="out" name="lacto"/>
    
    <variable units="millimolar" public_interface="in" name="ACA_x"/>
    <variable units="millimolar" public_interface="in" name="CN_x"/>
    
    <variable units="second_order_rate_constant" name="k20" initial_value="2.83828E-3"/>
    <variable units="dimensionless" name="y_vol" initial_value="59.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="lacto_calculation">
        <eq/>
        <ci> lacto </ci>
        <apply>
          <times/>
          <ci> y_vol </ci>
          <ci> k20 </ci>
          <ci> ACA_x </ci>
          <ci> CN_x </ci>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="inCN">
    <variable units="flux" public_interface="out" name="inCN"/>
    
    <variable units="millimolar" public_interface="in" name="CN_x_0"/>
    <variable units="millimolar" public_interface="in" name="CN_x"/>
    
    <variable units="first_order_rate_constant" name="k0" initial_value="0.048"/>
    <variable units="dimensionless" name="y_vol" initial_value="59.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="inCN_calculation">
        <eq/>
        <ci> inCN </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> y_vol </ci>
            <ci> k0 </ci>
            <ci> CN_x_0 </ci>
          </apply>
          <apply>
            <times/>
            <ci> y_vol </ci>
            <ci> k0 </ci>
            <ci> CN_x </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="storage">
    <variable units="flux" public_interface="out" name="storage"/>
    
    <variable units="millimolar" public_interface="in" name="ATP"/>
    <variable units="millimolar" public_interface="in" name="G6P"/>
    
    <variable units="second_order_rate_constant" name="k22" initial_value="2.25932"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="storage_calculation">
        <eq/>
        <ci> storage </ci>
        <apply>
          <times/>
          <ci> k22 </ci>
          <ci> ATP </ci>
          <ci> G6P </ci>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="consum">
    <variable units="flux" public_interface="out" name="consum"/>
    
    <variable units="millimolar" public_interface="in" name="ATP"/>
    
    <variable units="first_order_rate_constant" name="k23" initial_value="3.20760"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="consum_calculation">
        <eq/>
        <ci> consum </ci>
        <apply>
          <times/>
          <ci> k23 </ci>
          <ci> ATP </ci>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="AK">
    <variable units="flux" public_interface="out" name="AK"/>
    
    <variable units="millimolar" public_interface="in" name="ATP"/>
    <variable units="millimolar" public_interface="in" name="ADP"/>
    <variable units="millimolar" public_interface="in" name="AMP"/>
    
    <variable units="second_order_rate_constant" name="k24f" initial_value="4.32900E2"/>
    <variable units="second_order_rate_constant" name="k24r" initial_value="1.33333E2"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="AK_calculation">
        <eq/>
        <ci> AK </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k24f </ci>
            <ci> AMP </ci>
            <ci> ATP </ci>
          </apply>
          <apply>
            <times/>
            <ci> k24r </ci>
            <apply>
              <power/>
              <ci> ADP </ci>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>

  
  <connection>
    <map_components component_2="inGlc" component_1="Glc_x_0"/>
    <map_variables variable_2="Glc_x_0" variable_1="Glc_x_0"/>
  </connection>
  
  <connection>
    <map_components component_2="inGlc" component_1="Glc_x"/>
    <map_variables variable_2="Glc_x" variable_1="Glc_x"/>
    <map_variables variable_2="inGlc" variable_1="inGlc"/>
  </connection>
  
  <connection>
    <map_components component_2="GlcTrans" component_1="Glc_x"/>
    <map_variables variable_2="Glc_x" variable_1="Glc_x"/>
    <map_variables variable_2="GlcTrans" variable_1="GlcTrans"/>
  </connection>
  
  <connection>
    <map_components component_2="GlcTrans" component_1="Glc"/>
    <map_variables variable_2="Glc" variable_1="Glc"/>
    <map_variables variable_2="GlcTrans" variable_1="GlcTrans"/>
  </connection>
  
  <connection>
    <map_components component_2="HK" component_1="Glc"/>
    <map_variables variable_2="Glc" variable_1="Glc"/>
    <map_variables variable_2="HK" variable_1="HK"/>
  </connection>
  
  <connection>
    <map_components component_2="HK" component_1="G6P"/>
    <map_variables variable_2="HK" variable_1="HK"/>
  </connection>
  
  <connection>
    <map_components component_2="PGI" component_1="G6P"/>
    <map_variables variable_2="G6P" variable_1="G6P"/>
    <map_variables variable_2="PGI" variable_1="PGI"/>
  </connection>
  
  <connection>
    <map_components component_2="GlcTrans" component_1="G6P"/>
    <map_variables variable_2="G6P" variable_1="G6P"/>
  </connection>
  
  <connection>
    <map_components component_2="storage" component_1="G6P"/>
    <map_variables variable_2="G6P" variable_1="G6P"/>
    <map_variables variable_2="storage" variable_1="storage"/>
  </connection>
  
  <connection>
    <map_components component_2="PGI" component_1="F6P"/>
    <map_variables variable_2="F6P" variable_1="F6P"/>
    <map_variables variable_2="PGI" variable_1="PGI"/>
  </connection>
  
  <connection>
    <map_components component_2="PFK" component_1="F6P"/>
    <map_variables variable_2="F6P" variable_1="F6P"/>
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    <cmeta:modification rdf:resource="rdf:#1170af5e-77c1-4689-8162-af76bbd70292"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3b03f92f-2a4b-4e49-a4a1-2a2f4355e63d">
    <dc:creator rdf:resource="rdf:#7de24052-47a8-4b72-9ac0-95dcec69d32c"/>
    <rdf:value>This is the CellML description of Hynne et al's 2001 full scale model &#13;
          of glycolysis in Saccharomyces cerevisiae.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7de24052-47a8-4b72-9ac0-95dcec69d32c">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
</rdf:RDF>
</model>