Location: Vaseghi, Baumeister, Rizzi, Reuss, 1999 @ 24a2028b4e2f / vaseghi_baumeister_rizzi_reuss_1999.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2006-07-09 07:51:26+12:00
Desc:
committing version01 of vaseghi_baumeister_rizzi_reuss_1999
Permanent Source URI:
https://staging.physiomeproject.org/workspace/vaseghi_baumeister_rizzi_reuss_1999/rawfile/24a2028b4e2fcd9969fcc24b45ff6e5111ad3bf1/vaseghi_baumeister_rizzi_reuss_1999.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  pentose_phosphate_pathway_1999.xml

CREATED :  21st November 2001

LAST MODIFIED : 26th April 2005

AUTHOR :  Catherine Lloyd
          Department of Engineering Science
          The University of Auckland
          
MODEL STATUS :  This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/01/2002 CellML Metadata 1.0 Specification.

DESCRIPTION :  This file contains a CellML description of the pentose phosphate
pathway in the yeast Saccharomyces cerevisiae based on a mathematical model from
Vaseghi et al (1999).  

CHANGES:  
  22/01/2002 - AAC - Updated metadata to conform to the 16/1/02 CellML Metadata
                     1.0 Specification.
  25/02/2002 - CML - Corrected phosphoglucose_isomerisation reaction equations.
  26/02/2002 - CML - Corrected r_PGI equation.
  22/07/2002 - CML - Added more metadata.
  09/04/2003 - AAC - Added publication date information.
  26/04/2005 - PJV - Updated syntax to conform with cellml1.1 specs.
                     Changed unit dimensions to make them consistent.  
--><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:pathway_editor="http://www.physiome.com/pathway_editor/1.0#" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" pathway_editor:rendering_config_file="pentose phosphate pathway      1999render.xml" cmeta:id="vaseghi_baumeister_rizzi_reuss_1999_version01" name="vaseghi_baumeister_rizzi_reuss_1999_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>The Pentose Phosphate Pathway 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>
Metabolic networks are highly complex nonlinear reaction systems whose functions are tightly co-ordinated and regulated by feedback mechanisms to meet the physiological demands of living organisms.  Dynamic mathematical models of metabolic networks allow prediction as to how metabolism will respond to manipulation.
</para>

<para>
The pentose phosphate pathway can provide an alternative to glycolysis plus the TCA cycle for the complete oxidation of glucose.  However, it is thought that its main role is not glucose oxidation, but to provide the cell with a source of NADPH for biosynthetic reactions and to supply pentose phosphate for the synthesis of nucleotides.
</para>

<para>
In 1999, Sam Vaseghi, Anja Baumeister, Manfred Rizzi and Matthias Reuss published a kinetic model of the pentose phosphate pathway in the yeast <emphasis>Saccharomyces cerevisiae</emphasis> (see <xref linkend="fig_pathway_diagram"/> below).  They studied the <emphasis>in vivo</emphasis> dynamics of the pathway under conditions of continuous culture in order to elucidate important regulation phenomena responsible for co-ordinating the fluxes between glycolysis and the pentose phosphate pathway.  They constructed the model by combining knowledge about enzyme kinetics with the stoichiometry of metabolic pathways based on the same principles used by Rizzi <emphasis>et al</emphasis> in their model of glycolysis (1997) (see <ulink url="${HTML_EXMPL_GLYCOLYSIS_1997}">The Glycolysis Pathway Model, 1997</ulink>). 
</para>

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

<para>
<ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;_udi=B6WN3-45GMXTM-2&amp;_user=140507&amp;_coverDate=04%2F30%2F1999&amp;_alid=185462660&amp;_rdoc=1&amp;_fmt=summary&amp;_orig=search&amp;_qd=1&amp;_cdi=6951&amp;_sort=d&amp;_docanchor=&amp;view=c&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=618c9e292e1d213b8aa38e60c0f03db3">
            <emphasis>In Vivo</emphasis> Dynamics of the Pentose Phosphate Pathway in <emphasis>Saccharomyces cerevisiae</emphasis>
          </ulink>, Sam Vaseghi, Anja Baumeister, Manfred Rizzi and Matthias Reuss, 1999, <ulink url="http://www.sciencedirect.com/science?_ob=JournalURL&amp;_cdi=6951&amp;_auth=y&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=960dfeca7fc4aabf0cf2dcfe0b2c41c0">
            <emphasis>Metabolic Engineering</emphasis>
          </ulink>, 1, 128-140.  (A PDF version of the article is available to subscribers on the <emphasis>Metabolic Engineering</emphasis> website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=10935926&amp;dopt=Abstract">PubMed ID: 10935926</ulink>
</para>

<para>
The raw CellML description of the pentose phosphate pathway model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>.  For an example of a more complete documentation of another real reaction pathway, see <ulink url="${HTML_EXMPL_BI_EGF_INTRO}">The Bhalla Iyengar EGF Pathway Model, 1999</ulink>. 
</para>

<informalfigure float="0" id="fig_pathway_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>the conventional rendering of the pentose phosphate pathway in Saccharomyces cerevisiae</title>
    </objectinfo>
    <imagedata fileref="vaseghi_1999.png"/>
  </imageobject>
</mediaobject>
<caption>A rendering of the pentose phosphate pathway in <emphasis>Saccharomyces cerevisiae</emphasis>. Metabolites are represented by rounded rectangles, catalysts are represented by ellipses and reactions by arrows.  The action of the inhibitor MgATP on the enzymes G6PDH and 6PGDH is represented by dashed lines.</caption>
</informalfigure>

<para>
In CellML, models are thought of as connected networks of discrete components. These components may correspond to physiologically separated regions or chemically distinct objects, or may be useful modelling abstractions. This model has 36 components representing chemically distinct objects (15 metabolites, 10 enzymes one inhibitor and 10 reactions) and one component defined for modelling convenience which stores the universal variable time.  Because this model has so many components, its CellML rendering would be complex.  For an example of a CellML rendering of a reaction pathway see <ulink url="${HTML_EXMPL_BI_EGF_INTRO}">The Bhalla Iyengar EGF Pathway Model, 1999</ulink>.  
</para>

</sect1>
</article>
</documentation>
  
  
  <!--
    We start the model definition with a definition of some named
    sets of units for use throughout the model.
  -->
  <units name="millimolar">
    <unit units="mole" prefix="milli"/>
    <unit units="litre" exponent="-1"/>
  </units>

  <units name="flux">
    <unit units="millimolar"/>
    <unit units="second" exponent="-1"/>
  </units>
  
  <units name="max_flux">
    <unit units="mole" prefix="milli"/>
    <unit units="second" exponent="-1"/>
  </units>

  <units name="per_hour">
    <unit units="second" exponent="-1" multiplier="3600.0"/>
  </units>

  <!--  
    The following component is defined for modelling convenience.  It contains 
    all the universal variables, in this case, only time.
  -->
  <component name="global_variables">
     <variable units="second" public_interface="out" name="time"/>
  </component>

  <!--  
    The following components describe all the metabolites - both reactants and 
    products - involved in the pentose phosphate pathway.
  -->

  <component cmeta:id="G6P" name="G6P">
    
     <variable units="millimolar" public_interface="out" name="G6P"/>
     <variable units="flux" public_interface="in" name="delta_G6P_rxn1"/>
     <variable units="flux" public_interface="in" name="delta_G6P_rxn10"/>
     <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>G6P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_G6P_rxn1</ci>
              <ci>delta_G6P_rxn10</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="NADP" name="NADP">
    
     <variable units="millimolar" public_interface="out" name="NADP"/>
     <variable units="flux" public_interface="in" name="delta_NADP_rxn1"/>
     <variable units="flux" public_interface="in" name="delta_NADP_rxn2"/>
     <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>NADP</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_NADP_rxn1</ci>
              <ci>delta_NADP_rxn2</ci>
            </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="NADPH" name="NADPH">
    
     <variable units="millimolar" public_interface="out" name="NADPH"/>
     <variable units="flux" public_interface="in" name="delta_NADPH_rxn1"/>
     <variable units="flux" public_interface="in" name="delta_NADPH_rxn2"/>
     <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>NADPH</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_NADPH_rxn1</ci>
              <ci>delta_NADPH_rxn2</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="six_PG" name="six_PG">
    
     <variable units="millimolar" public_interface="out" name="six_PG"/>
     <variable units="flux" public_interface="in" name="delta_six_PG_rxn1"/>
     <variable units="flux" public_interface="in" name="delta_six_PG_rxn2"/>
     <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>six_PG</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_six_PG_rxn1</ci>
              <ci>delta_six_PG_rxn2</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="F6P" name="F6P">
    
     <variable units="millimolar" public_interface="out" name="F6P"/>
     <variable units="flux" public_interface="in" name="delta_F6P_rxn6"/>
     <variable units="flux" public_interface="in" name="delta_F6P_rxn9"/>
     <variable units="flux" public_interface="in" name="delta_F6P_rxn10"/>
     <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>F6P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_F6P_rxn6</ci>
              <ci>delta_F6P_rxn9</ci>
              <ci>delta_F6P_rxn10</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="X5P" name="X5P">
    
     <variable units="millimolar" public_interface="out" name="X5P"/>
     <variable units="flux" public_interface="in" name="delta_X5P_rxn4"/>
     <variable units="flux" public_interface="in" name="delta_X5P_rxn5"/>
     <variable units="flux" public_interface="in" name="delta_X5P_rxn6"/>
     <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>X5P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_X5P_rxn4</ci>
              <ci>delta_X5P_rxn5</ci>
              <ci>delta_X5P_rxn6</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="Ru5P" name="Ru5P">
    
     <variable units="millimolar" public_interface="out" name="Ru5P"/>
     <variable units="flux" public_interface="in" name="delta_Ru5P_rxn2"/>
     <variable units="flux" public_interface="in" name="delta_Ru5P_rxn3"/>
     <variable units="flux" public_interface="in" name="delta_Ru5P_rxn4"/>
     <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>Ru5P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_Ru5P_rxn2</ci>
              <ci>delta_Ru5P_rxn3</ci>
              <ci>delta_Ru5P_rxn4</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="R5P" name="R5P">
    
     <variable units="millimolar" public_interface="out" name="R5P"/>
     <variable units="flux" public_interface="in" name="delta_R5P_rxn3"/>
     <variable units="flux" public_interface="in" name="delta_R5P_rxn5"/>
     <variable units="flux" public_interface="in" name="delta_R5P_rxn8"/>
     <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>R5P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_R5P_rxn3</ci>
              <ci>delta_R5P_rxn5</ci>
              <ci>delta_R5P_rxn8</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="GAP" name="GAP">
    
     <variable units="millimolar" public_interface="out" name="GAP"/>
     <variable units="flux" public_interface="in" name="delta_GAP_rxn5"/>
     <variable units="flux" public_interface="in" name="delta_GAP_rxn6"/>
     <variable units="flux" public_interface="in" name="delta_GAP_rxn9"/>
     <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>GAP</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_GAP_rxn5</ci>
              <ci>delta_GAP_rxn6</ci>
              <ci>delta_GAP_rxn9</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="E4P" name="E4P">
    
     <variable units="millimolar" public_interface="out" name="E4P"/>
     <variable units="flux" public_interface="in" name="delta_E4P_rxn6"/>
     <variable units="flux" public_interface="in" name="delta_E4P_rxn7"/>
     <variable units="flux" public_interface="in" name="delta_E4P_rxn9"/>
     <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>E4P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_E4P_rxn6</ci>
              <ci>delta_E4P_rxn7</ci>
              <ci>delta_E4P_rxn9</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="S7P" name="S7P">
    
     <variable units="millimolar" public_interface="out" name="S7P"/>
     <variable units="flux" public_interface="in" name="delta_S7P_rxn5"/>
     <variable units="flux" public_interface="in" name="delta_S7P_rxn9"/>
     <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>S7P</ci>
           </apply>
           <apply>
          <plus/>
              <ci>delta_S7P_rxn5</ci>
              <ci>delta_S7P_rxn9</ci>
           </apply>
        </apply>
     </math>
  </component>

  <component cmeta:id="TRP" name="TRP">
    
     <variable units="millimolar" public_interface="out" name="TRP"/>
     <variable units="flux" public_interface="in" name="delta_TRP_rxn7"/>
     <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>TRP</ci>
           </apply>
           <ci>delta_TRP_rxn7</ci>
        </apply>
     </math>
  </component>

  <component cmeta:id="TYR" name="TYR">
    
     <variable units="millimolar" public_interface="out" name="TYR"/>
     <variable units="flux" public_interface="in" name="delta_TYR_rxn7"/>
     <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>TYR</ci>
           </apply>
           <ci>delta_TYR_rxn7</ci>
        </apply>
     </math>
  </component>

  <component cmeta:id="PHE" name="PHE">
    
     <variable units="millimolar" public_interface="out" name="PHE"/>
     <variable units="flux" public_interface="in" name="delta_PHE_rxn7"/>
     <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>PHE</ci>
           </apply>
           <ci>delta_PHE_rxn7</ci>
        </apply>
     </math>
  </component>

  <component cmeta:id="PRPP" name="PRPP">
    
     <variable units="millimolar" public_interface="out" name="PRPP"/>
     <variable units="flux" public_interface="in" name="delta_PRPP_rxn8"/>
     <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>PRPP</ci>
           </apply>
           <ci>delta_PRPP_rxn8</ci>
        </apply>
     </math>
  </component>

  <!--  
    The following components describe all the enzymes and inhibitors involved 
    in the pentose phosphate pathway.  Because enzymes only act as catalysts in
    metabolic reactions, their concentrations remain constant and therefore no 
    delta variables are declared.
  -->

  <component cmeta:id="six_PGDH" name="six_PGDH">
    
     <variable units="millimolar" public_interface="out" name="six_PGDH"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component name="MgATP">
     <variable units="millimolar" public_interface="out" name="MgATP"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="G6PDH" name="G6PDH">
    
     <variable units="millimolar" public_interface="out" name="G6PDH"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="PGI" name="PGI">
    
     <variable units="millimolar" public_interface="out" name="PGI"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="TKL2" name="TKL2">
    
     <variable units="millimolar" public_interface="out" name="TKL2"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="Ru5PE" name="Ru5PE">
    
     <variable units="millimolar" public_interface="out" name="Ru5PE"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="R5PI" name="R5PI">
    
     <variable units="millimolar" public_interface="out" name="R5PI"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="TKL1" name="TKL1">
    
     <variable units="millimolar" public_interface="out" name="TKL1"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="PKDHA" name="PKDHA">
    
     <variable units="millimolar" public_interface="out" name="PKDHA"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="TAL" name="TAL">
    
     <variable units="millimolar" public_interface="out" name="TAL"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <component cmeta:id="RPPK" name="RPPK">
    
     <variable units="millimolar" public_interface="out" name="RPPK"/>
     <variable units="second" public_interface="in" name="time"/>
  </component>

  <!--
    The following components represent the individual reaction steps of the 
    pentose phosphate pathway.
  -->

  <component cmeta:id="G6P_dehydrogenation" name="G6P_dehydrogenation">
    
     <variable units="millimolar" public_interface="in" name="NADP"/>
     <variable units="millimolar" public_interface="in" name="G6P"/>
     <variable units="millimolar" public_interface="in" name="NADPH"/>
     <variable units="millimolar" public_interface="in" name="six_PG"/>
     <variable units="millimolar" public_interface="in" name="G6PDH"/>
     <variable units="millimolar" public_interface="in" name="MgATP"/>
     <variable units="flux" public_interface="out" name="delta_NADP_rxn1"/>
     <variable units="flux" public_interface="out" name="delta_G6P_rxn1"/>
     <variable units="flux" public_interface="out" name="delta_NADPH_rxn1"/>
     <variable units="flux" public_interface="out" name="delta_six_PG_rxn1"/>
     <variable units="millimolar" name="k_NADP_1" initial_value="0.116"/>
     <variable units="millimolar" name="ki_NADPH_1" initial_value="1.702"/>
     <variable units="millimolar" name="ki_MgATP_1" initial_value="0.33"/>
     <variable units="dimensionless" name="I_NADPH_1"/>
     <variable units="dimensionless" name="I_MgATP_1"/>
     <variable units="flux" public_interface="out" name="r_G6PDH"/>
     <variable units="max_flux" name="rmax_G6PDH" initial_value="44.19"/>
     <reaction reversible="no">
        <variable_ref variable="NADP">
           <role stoichiometry="1" delta_variable="delta_NADP_rxn1" role="reactant"/>
        </variable_ref>
        <variable_ref variable="G6P">
           <role stoichiometry="1" delta_variable="delta_G6P_rxn1" role="reactant"/>
        </variable_ref>
        <variable_ref variable="NADPH">
           <role stoichiometry="1" delta_variable="delta_NADPH_rxn1" role="product"/>
        </variable_ref>
        <variable_ref variable="six_PG">
           <role stoichiometry="1" delta_variable="delta_six_PG_rxn1" role="product"/>
        </variable_ref>
        <variable_ref variable="G6PDH">
           <role role="catalyst"/>
        </variable_ref>
        <variable_ref variable="MgATP">
           <role role="inhibitor"/>
        </variable_ref>
        <variable_ref variable="r_G6PDH">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_G6PDH</ci>
                    <apply>
                <times/>
                       <ci>rmax_G6PDH</ci>
                       <apply>
                  <divide/>
                          <ci>NADP</ci>
                          <apply>
                    <times/>
                             <apply>
                      <plus/>
                                <ci>NADP</ci>
                                <apply>
                        <times/>
                                   <ci>k_NADP_1</ci>
                                   <ci>I_NADPH_1</ci>
                                </apply>
                             </apply>
                             <ci>I_MgATP_1</ci>
                          </apply>
                       </apply>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>

     <math xmlns="http://www.w3.org/1998/Math/MathML">
        <apply>
        <eq/>
           <ci>I_NADPH_1</ci>
           <apply>
          <plus/>
              <cn cellml:units="dimensionless">1.0</cn>
              <apply>
            <divide/>
                 <ci>NADPH</ci>
                 <ci>ki_NADPH_1</ci>
              </apply>
           </apply>
        </apply>

        <apply>
        <eq/>
           <ci>I_MgATP_1</ci>
           <apply>
          <plus/>
              <cn cellml:units="dimensionless">1.0</cn>
              <apply>
            <divide/>
                 <ci>MgATP</ci>
                 <ci>ki_MgATP_1</ci>
              </apply>
           </apply>
        </apply>
     </math>  
  </component>

  <component cmeta:id="six_PG_dehydrogenation" name="six_PG_dehydrogenation">
    
     <variable units="millimolar" public_interface="in" name="NADP"/>
     <variable units="millimolar" public_interface="in" name="Ru5P"/>
     <variable units="millimolar" public_interface="in" name="NADPH"/>
     <variable units="millimolar" public_interface="in" name="six_PG"/>
     <variable units="millimolar" public_interface="in" name="six_PGDH"/>
     <variable units="millimolar" public_interface="in" name="MgATP"/>
     <variable units="flux" public_interface="out" name="delta_NADP_rxn2"/>
     <variable units="flux" public_interface="out" name="delta_Ru5P_rxn2"/>
     <variable units="flux" public_interface="out" name="delta_NADPH_rxn2"/>
     <variable units="flux" public_interface="out" name="delta_six_PG_rxn2"/>
     <variable units="millimolar" name="k_NADP_2" initial_value="1.848"/>
     <variable units="millimolar" name="ki_NADPH_2" initial_value="0.055"/>
     <variable units="millimolar" name="ki_MgATP_2" initial_value="0.109"/>
     <variable units="dimensionless" name="I_NADPH_2"/>
     <variable units="dimensionless" name="I_MgATP_2"/>
     <variable units="flux" name="r_six_PGDH"/>
     <variable units="max_flux" name="rmax_six_PGDH" initial_value="0.654"/>
     <reaction reversible="no">
        <variable_ref variable="NADP">
           <role stoichiometry="1" delta_variable="delta_NADP_rxn2" role="reactant"/>
        </variable_ref>
        <variable_ref variable="six_PG">
           <role stoichiometry="1" delta_variable="delta_six_PG_rxn2" role="reactant"/>
        </variable_ref>
        <variable_ref variable="NADPH">
           <role stoichiometry="1" delta_variable="delta_NADPH_rxn2" role="product"/>
        </variable_ref>
        <variable_ref variable="Ru5P">
           <role stoichiometry="1" delta_variable="delta_Ru5P_rxn2" role="product"/>
        </variable_ref>
        <variable_ref variable="six_PGDH">
           <role role="catalyst"/>
        </variable_ref>
        <variable_ref variable="MgATP">
           <role role="inhibitor"/>
        </variable_ref>
        <variable_ref variable="r_six_PGDH">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_six_PGDH</ci>
                    <apply>
                <times/>
                       <ci>rmax_six_PGDH</ci>
                       <apply>
                  <divide/>
                          <ci>NADP</ci>
                          <apply>
                    <plus/>
                             <ci>NADP</ci>
                             <apply>
                      <times/>
                                <ci>k_NADP_2</ci>
                                <ci>I_NADPH_2</ci>
                                <ci>I_MgATP_2</ci>
                             </apply>
                          </apply>
                       </apply>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>

     <math xmlns="http://www.w3.org/1998/Math/MathML">
        <apply>
        <eq/>
           <ci>I_NADPH_2</ci>
           <apply>
          <plus/>
              <cn cellml:units="dimensionless">1.0</cn>
              <apply>
            <divide/>
                 <ci>NADPH</ci>
                 <ci>ki_NADPH_2</ci>
              </apply>
           </apply>
        </apply>

        <apply>
        <eq/>
           <ci>I_MgATP_2</ci>
           <apply>
          <plus/>
              <cn cellml:units="dimensionless">1.0</cn>
              <apply>
            <divide/>
                 <ci>MgATP</ci>
                 <ci>ki_MgATP_2</ci>
              </apply>
           </apply>
        </apply>
     </math>  
  </component>

  <component cmeta:id="R5P_isomerisation" name="R5P_isomerisation">
    
     <variable units="millimolar" public_interface="in" name="R5P"/>
     <variable units="millimolar" public_interface="in" name="Ru5P"/>
     <variable units="millimolar" public_interface="in" name="R5PI"/>
     <variable units="flux" public_interface="out" name="delta_R5P_rxn3"/>
     <variable units="flux" public_interface="out" name="delta_Ru5P_rxn3"/>
     <variable units="flux" name="r_R5PI"/>
     <variable units="max_flux" name="rmax_R5PI" initial_value="0.57"/>
     <reaction reversible="yes">
        <variable_ref variable="Ru5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_Ru5P_rxn3" role="reactant"/>
        </variable_ref>
        <variable_ref variable="R5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_R5P_rxn3" role="product"/>
        </variable_ref>
        <variable_ref variable="R5PI">
           <role direction="forward" role="catalyst"/>
        </variable_ref>
        <variable_ref variable="r_R5PI">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_R5PI</ci>
                    <apply>
                <times/>
                       <ci>rmax_R5PI</ci>
                       <ci>Ru5P</ci>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="Ru5P_epimerisation" name="Ru5P_epimerisation">
    
     <variable units="millimolar" public_interface="in" name="X5P"/>
     <variable units="millimolar" public_interface="in" name="Ru5P"/>
     <variable units="millimolar" public_interface="in" name="Ru5PE"/>
     <variable units="flux" public_interface="out" name="delta_X5P_rxn4"/>
     <variable units="flux" public_interface="out" name="delta_Ru5P_rxn4"/>
     <variable units="flux" name="r_Ru5PE"/>
     <variable units="max_flux" name="rmax_Ru5PE" initial_value="0.85"/>
     <reaction reversible="yes">
        <variable_ref variable="Ru5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_Ru5P_rxn4" role="reactant"/>
        </variable_ref>
        <variable_ref variable="X5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_X5P_rxn4" role="product"/>
        </variable_ref>
        <variable_ref variable="Ru5PE">
           <role direction="forward" role="catalyst"/>
        </variable_ref>
        <variable_ref variable="r_Ru5PE">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_Ru5PE</ci>
                    <apply>
                <times/>
                       <ci>rmax_Ru5PE</ci>
                       <ci>Ru5P</ci>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="transketolation_1" name="transketolation_1">
    
     <variable units="millimolar" public_interface="in" name="GAP"/>
     <variable units="millimolar" public_interface="in" name="S7P"/>
     <variable units="millimolar" public_interface="in" name="X5P"/>
     <variable units="millimolar" public_interface="in" name="R5P"/>
     <variable units="millimolar" public_interface="in" name="TKL1"/>
     <variable units="flux" public_interface="out" name="delta_GAP_rxn5"/>
     <variable units="flux" public_interface="out" name="delta_S7P_rxn5"/>
     <variable units="flux" public_interface="out" name="delta_X5P_rxn5"/>
     <variable units="flux" public_interface="out" name="delta_R5P_rxn5"/>
     <variable units="flux" name="r_TKL1"/>
     <variable units="flux" name="rmax_TKL1" initial_value="3.24"/>
     <reaction reversible="yes">
        <variable_ref variable="R5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_R5P_rxn5" role="reactant"/>
        </variable_ref>
        <variable_ref variable="X5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_X5P_rxn5" role="reactant"/>
        </variable_ref>
        <variable_ref variable="S7P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_S7P_rxn5" role="product"/>
        </variable_ref>
        <variable_ref variable="GAP">
           <role stoichiometry="1" direction="forward" delta_variable="delta_GAP_rxn5" role="product"/>
        </variable_ref>
        <variable_ref variable="r_TKL1">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_TKL1</ci>
                    <apply>
                <times/>
                       <ci>rmax_TKL1</ci>
                       <ci>X5P</ci>
                       <ci>R5P</ci>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="transketolation_2" name="transketolation_2">
    
     <variable units="millimolar" public_interface="in" name="E4P"/>
     <variable units="millimolar" public_interface="in" name="X5P"/>
     <variable units="millimolar" public_interface="in" name="F6P"/>
     <variable units="millimolar" public_interface="in" name="GAP"/>
     <variable units="millimolar" public_interface="in" name="TKL2"/>
     <variable units="flux" public_interface="out" name="delta_E4P_rxn6"/>
     <variable units="flux" public_interface="out" name="delta_X5P_rxn6"/>
     <variable units="flux" public_interface="out" name="delta_F6P_rxn6"/>
     <variable units="flux" public_interface="out" name="delta_GAP_rxn6"/>
     <variable units="flux" name="r_TKL2"/>
     <variable units="flux" name="rmax_TKL2" initial_value="10.5"/>
     <reaction reversible="yes">
        <variable_ref variable="E4P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_E4P_rxn6" role="reactant"/>
        </variable_ref>
        <variable_ref variable="X5P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_X5P_rxn6" role="reactant"/>
        </variable_ref>
        <variable_ref variable="F6P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_F6P_rxn6" role="product"/>
        </variable_ref>
        <variable_ref variable="GAP">
           <role stoichiometry="1" direction="forward" delta_variable="delta_GAP_rxn6" role="product"/>
        </variable_ref>
        <variable_ref variable="r_TKL2">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_TKL2</ci>
                    <apply>
                <times/>
                       <ci>rmax_TKL2</ci>
                       <ci>E4P</ci>
                       <ci>X5P</ci>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="E4P_splitting" name="E4P_splitting">
    
     <variable units="millimolar" public_interface="in" name="E4P"/>
     <variable units="millimolar" public_interface="in" name="PHE"/>
     <variable units="millimolar" public_interface="in" name="TYR"/>
     <variable units="millimolar" public_interface="in" name="TRP"/>
     <variable units="millimolar" public_interface="in" name="PKDHA"/>
     <variable units="flux" public_interface="out" name="delta_E4P_rxn7"/>
     <variable units="flux" public_interface="out" name="delta_PHE_rxn7"/>
     <variable units="flux" public_interface="out" name="delta_TYR_rxn7"/>
     <variable units="flux" public_interface="out" name="delta_TRP_rxn7"/>
     <variable units="millimolar" name="k_PKDHA"/>
     <variable units="flux" name="r_PKDHA"/>
     <variable units="max_flux" name="rmax_PKDHA" initial_value="0.004"/>
     <reaction reversible="no">
        <variable_ref variable="E4P">
           <role stoichiometry="1" delta_variable="delta_E4P_rxn7" role="reactant"/>
        </variable_ref>
        <variable_ref variable="PHE">
           <role stoichiometry="1" delta_variable="delta_PHE_rxn7" role="product"/>
        </variable_ref>
        <variable_ref variable="TYR">
           <role stoichiometry="1" delta_variable="delta_TYR_rxn7" role="product"/>
        </variable_ref>
        <variable_ref variable="TRP">
           <role stoichiometry="1" delta_variable="delta_TRP_rxn7" role="product"/>
        </variable_ref>
        <variable_ref variable="PKDHA">
           <role role="catalyst"/>
        </variable_ref>
        <variable_ref variable="r_PKDHA">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_PKDHA</ci>
                    <apply>
                <times/>
                       <ci>rmax_PKDHA</ci>
                       <apply>
                  <divide/>
                          <ci>E4P</ci>
                          <apply>
                    <plus/>
                             <ci>E4P</ci>
                             <ci>k_PKDHA</ci>
                          </apply>
                       </apply>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="R5P_phosphorylation" name="R5P_phosphorylation">
    
     <variable units="millimolar" public_interface="in" name="R5P"/>
     <variable units="millimolar" public_interface="in" name="PRPP"/>
     <variable units="millimolar" public_interface="in" name="RPPK"/>
     <variable units="flux" public_interface="out" name="delta_R5P_rxn8"/>
     <variable units="flux" public_interface="out" name="delta_PRPP_rxn8"/>
     <variable units="flux" name="r_RPPK"/>
     <variable units="millimolar" name="k_RPPK"/>
     <variable units="max_flux" name="rmax_RPPK" initial_value="0.003"/>
     <reaction reversible="no">
        <variable_ref variable="R5P">
           <role stoichiometry="1" delta_variable="delta_R5P_rxn8" role="reactant"/>
        </variable_ref>
        <variable_ref variable="PRPP">
           <role stoichiometry="1" delta_variable="delta_PRPP_rxn8" role="product"/>
        </variable_ref>
        <variable_ref variable="RPPK">
           <role role="catalyst"/>
        </variable_ref>
        <variable_ref variable="r_RPPK">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_RPPK</ci>
                    <apply>
                <times/>
                       <ci>rmax_RPPK</ci>
                       <apply>
                  <divide/>
                          <ci>R5P</ci>
                          <apply>
                    <plus/>
                             <ci>R5P</ci>
                             <ci>k_RPPK</ci>
                          </apply>
                       </apply>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="transaldolation" name="transaldolation">
    
     <variable units="millimolar" public_interface="in" name="F6P"/>
     <variable units="millimolar" public_interface="in" name="GAP"/>
     <variable units="millimolar" public_interface="in" name="E4P"/>
     <variable units="millimolar" public_interface="in" name="S7P"/>
     <variable units="millimolar" public_interface="in" name="TAL"/>
     <variable units="flux" public_interface="out" name="delta_F6P_rxn9"/>
     <variable units="flux" public_interface="out" name="delta_GAP_rxn9"/>
     <variable units="flux" public_interface="out" name="delta_E4P_rxn9"/>
     <variable units="flux" public_interface="out" name="delta_S7P_rxn9"/>
     <variable units="flux" name="r_TAL"/>
     <variable units="max_flux" name="rmax_TAL" initial_value="3.0"/>
     <reaction reversible="yes">
        <variable_ref variable="S7P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_S7P_rxn9" role="reactant"/>
        </variable_ref>
        <variable_ref variable="GAP">
           <role stoichiometry="1" direction="forward" delta_variable="delta_GAP_rxn9" role="reactant"/>
        </variable_ref>
        <variable_ref variable="E4P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_E4P_rxn9" role="product"/>
        </variable_ref>
        <variable_ref variable="F6P">
           <role stoichiometry="1" direction="forward" delta_variable="delta_F6P_rxn9" role="product"/>
        </variable_ref>
        <variable_ref variable="r_TAL">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_TAL</ci>
                    <apply>
                <times/>
                       <ci>rmax_TAL</ci>
                       <ci>GAP</ci>
                       <ci>S7P</ci>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>
  </component>

  <component cmeta:id="phosphoglucose_isomerisation" name="phosphoglucose_isomerisation">
    
     <variable units="millimolar" public_interface="in" name="G6P"/>
     <variable units="millimolar" public_interface="in" name="F6P"/>
     <variable units="millimolar" public_interface="in" name="PGI"/>
     <variable units="flux" public_interface="in" name="r_G6PDH"/>
     <variable units="second" public_interface="in" name="time"/>
     <variable units="flux" public_interface="out" name="delta_G6P_rxn10"/>
     <variable units="flux" public_interface="out" name="delta_F6P_rxn10"/>
     <variable units="flux" name="r_PGI"/>
     <variable units="flux" public_interface="out" name="delta_G6P"/>
     <variable units="per_hour" name="mu"/>
     <variable units="flux" name="qs"/>
     <variable units="dimensionless" name="phi"/>
     <reaction reversible="no">
        <variable_ref variable="G6P">
           <role stoichiometry="1" delta_variable="delta_G6P_rxn10" role="reactant"/>
        </variable_ref>
        <variable_ref variable="F6P">
           <role stoichiometry="1" delta_variable="delta_F6P_rxn10" role="product"/>
        </variable_ref>
        <variable_ref variable="PGI">
           <role role="catalyst"/>
        </variable_ref>
        <variable_ref variable="r_PGI">
           <role role="rate">
              <math xmlns="http://www.w3.org/1998/Math/MathML">
                 <apply>
              <eq/>
                    <ci>r_PGI</ci>
                    <apply>
                <minus/>
                       <ci>qs</ci>
                       <apply>
                  <plus/>
                          <ci>r_G6PDH</ci>
                          <apply>
                    <times/>
                             <ci>mu</ci>
                             <ci>G6P</ci>
                          </apply>
                          <ci>delta_G6P</ci>
                       </apply>
                    </apply>
                 </apply>
              </math>
           </role>
        </variable_ref>
     </reaction>

     <math xmlns="http://www.w3.org/1998/Math/MathML">
        <apply>
        <eq/>
           <ci>delta_G6P</ci>
           <apply>
          <minus/>
              <ci>qs</ci>
              <apply>
            <plus/>
                 <ci>r_G6PDH</ci>
                 <ci>r_PGI</ci>
                 <apply>
              <times/>
                    <ci>mu</ci>
                    <ci>G6P</ci>
                 </apply>
              </apply>
           </apply>
        </apply>

        <apply>
        <eq/>
           <ci>qs</ci>
           <piecewise>
              <piece>
                 <cn cellml:units="flux">0.131</cn>
                 <apply>
              <lt/>
                    <ci>time</ci>
                    <cn cellml:units="second">0.0</cn>
                 </apply>
              </piece>
              <otherwise>
                 <cn cellml:units="flux">0.546</cn>
              </otherwise>
           </piecewise>
        </apply>

        <apply>
        <eq/>
           <ci>phi</ci>
           <apply>
          <divide/>
              <ci>r_G6PDH</ci>
              <ci>r_PGI</ci>
           </apply>
        </apply>
     </math>
  </component>

  <connection>
     <map_components component_2="G6P_dehydrogenation" component_1="G6P"/>
     <map_variables variable_2="G6P" variable_1="G6P"/>
     <map_variables variable_2="delta_G6P_rxn1" variable_1="delta_G6P_rxn1"/>
  </connection>

  <connection>
     <map_components component_2="G6P_dehydrogenation" component_1="NADP"/>
     <map_variables variable_2="NADP" variable_1="NADP"/>
     <map_variables variable_2="delta_NADP_rxn1" variable_1="delta_NADP_rxn1"/>
  </connection>

  <connection>
     <map_components component_2="G6P_dehydrogenation" component_1="NADPH"/>
     <map_variables variable_2="NADPH" variable_1="NADPH"/>
     <map_variables variable_2="delta_NADPH_rxn1" variable_1="delta_NADPH_rxn1"/>
  </connection>

  <connection>
     <map_components component_2="G6P_dehydrogenation" component_1="six_PG"/>
     <map_variables variable_2="six_PG" variable_1="six_PG"/>
     <map_variables variable_2="delta_six_PG_rxn1" variable_1="delta_six_PG_rxn1"/>
  </connection>

  <connection>
     <map_components component_2="G6P_dehydrogenation" component_1="G6PDH"/>
     <map_variables variable_2="G6PDH" variable_1="G6PDH"/>
  </connection>

  <connection>
     <map_components component_2="G6P_dehydrogenation" component_1="MgATP"/>
     <map_variables variable_2="MgATP" variable_1="MgATP"/>
  </connection>

  <connection>
     <map_components component_2="six_PG_dehydrogenation" component_1="six_PG"/>
     <map_variables variable_2="six_PG" variable_1="six_PG"/>
     <map_variables variable_2="delta_six_PG_rxn2" variable_1="delta_six_PG_rxn2"/>
  </connection>

  <connection>
     <map_components component_2="six_PG_dehydrogenation" component_1="NADP"/>
     <map_variables variable_2="NADP" variable_1="NADP"/>
     <map_variables variable_2="delta_NADP_rxn2" variable_1="delta_NADP_rxn2"/>
  </connection>

  <connection>
     <map_components component_2="six_PG_dehydrogenation" component_1="NADPH"/>
     <map_variables variable_2="NADPH" variable_1="NADPH"/>
     <map_variables variable_2="delta_NADPH_rxn2" variable_1="delta_NADPH_rxn2"/>
  </connection>

  <connection>
     <map_components component_2="six_PG_dehydrogenation" component_1="Ru5P"/>
     <map_variables variable_2="Ru5P" variable_1="Ru5P"/>
     <map_variables variable_2="delta_Ru5P_rxn2" variable_1="delta_Ru5P_rxn2"/>
  </connection>

  <connection>
     <map_components component_2="six_PG_dehydrogenation" component_1="six_PGDH"/>
     <map_variables variable_2="six_PGDH" variable_1="six_PGDH"/>
  </connection>

  <connection>
     <map_components component_2="six_PG_dehydrogenation" component_1="MgATP"/>
     <map_variables variable_2="MgATP" variable_1="MgATP"/>
  </connection>

  <connection>
     <map_components component_2="R5P_isomerisation" component_1="Ru5P"/>
     <map_variables variable_2="Ru5P" variable_1="Ru5P"/>
     <map_variables variable_2="delta_Ru5P_rxn3" variable_1="delta_Ru5P_rxn3"/>
  </connection>

  <connection>
     <map_components component_2="R5P_isomerisation" component_1="R5P"/>
     <map_variables variable_2="R5P" variable_1="R5P"/>
     <map_variables variable_2="delta_R5P_rxn3" variable_1="delta_R5P_rxn3"/>
  </connection>

  <connection>
     <map_components component_2="R5P_isomerisation" component_1="R5PI"/>
     <map_variables variable_2="R5PI" variable_1="R5PI"/>
  </connection>

  <connection>
     <map_components component_2="Ru5P_epimerisation" component_1="Ru5P"/>
     <map_variables variable_2="Ru5P" variable_1="Ru5P"/>
     <map_variables variable_2="delta_Ru5P_rxn4" variable_1="delta_Ru5P_rxn4"/>
  </connection>

  <connection>
     <map_components component_2="Ru5P_epimerisation" component_1="X5P"/>
     <map_variables variable_2="X5P" variable_1="X5P"/>
     <map_variables variable_2="delta_X5P_rxn4" variable_1="delta_X5P_rxn4"/>
  </connection>

  <connection>
     <map_components component_2="Ru5P_epimerisation" component_1="Ru5PE"/>
     <map_variables variable_2="Ru5PE" variable_1="Ru5PE"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_1" component_1="X5P"/>
     <map_variables variable_2="X5P" variable_1="X5P"/>
     <map_variables variable_2="delta_X5P_rxn5" variable_1="delta_X5P_rxn5"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_1" component_1="GAP"/>
     <map_variables variable_2="GAP" variable_1="GAP"/>
     <map_variables variable_2="delta_GAP_rxn5" variable_1="delta_GAP_rxn5"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_1" component_1="S7P"/>
     <map_variables variable_2="S7P" variable_1="S7P"/>
     <map_variables variable_2="delta_S7P_rxn5" variable_1="delta_S7P_rxn5"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_1" component_1="R5P"/>
     <map_variables variable_2="R5P" variable_1="R5P"/>
     <map_variables variable_2="delta_R5P_rxn5" variable_1="delta_R5P_rxn5"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_1" component_1="TKL1"/>
     <map_variables variable_2="TKL1" variable_1="TKL1"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_2" component_1="GAP"/>
     <map_variables variable_2="GAP" variable_1="GAP"/>
     <map_variables variable_2="delta_GAP_rxn6" variable_1="delta_GAP_rxn6"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_2" component_1="X5P"/>
     <map_variables variable_2="X5P" variable_1="X5P"/>
     <map_variables variable_2="delta_X5P_rxn6" variable_1="delta_X5P_rxn6"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_2" component_1="F6P"/>
     <map_variables variable_2="F6P" variable_1="F6P"/>
     <map_variables variable_2="delta_F6P_rxn6" variable_1="delta_F6P_rxn6"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_2" component_1="E4P"/>
     <map_variables variable_2="E4P" variable_1="E4P"/>
     <map_variables variable_2="delta_E4P_rxn6" variable_1="delta_E4P_rxn6"/>
  </connection>

  <connection>
     <map_components component_2="transketolation_2" component_1="TKL2"/>
     <map_variables variable_2="TKL2" variable_1="TKL2"/>
  </connection>

  <connection>
     <map_components component_2="E4P_splitting" component_1="E4P"/>
     <map_variables variable_2="E4P" variable_1="E4P"/>
     <map_variables variable_2="delta_E4P_rxn7" variable_1="delta_E4P_rxn7"/>
  </connection>

  <connection>
     <map_components component_2="E4P_splitting" component_1="PHE"/>
     <map_variables variable_2="PHE" variable_1="PHE"/>
     <map_variables variable_2="delta_PHE_rxn7" variable_1="delta_PHE_rxn7"/>
  </connection>

  <connection>
     <map_components component_2="E4P_splitting" component_1="TYR"/>
     <map_variables variable_2="TYR" variable_1="TYR"/>
     <map_variables variable_2="delta_TYR_rxn7" variable_1="delta_TYR_rxn7"/>
  </connection>

  <connection>
     <map_components component_2="E4P_splitting" component_1="TRP"/>
     <map_variables variable_2="TRP" variable_1="TRP"/>
     <map_variables variable_2="delta_TRP_rxn7" variable_1="delta_TRP_rxn7"/>
  </connection>

  <connection>
     <map_components component_2="E4P_splitting" component_1="PKDHA"/>
     <map_variables variable_2="PKDHA" variable_1="PKDHA"/>
  </connection>

  <connection>
     <map_components component_2="R5P_phosphorylation" component_1="R5P"/>
     <map_variables variable_2="R5P" variable_1="R5P"/>
     <map_variables variable_2="delta_R5P_rxn8" variable_1="delta_R5P_rxn8"/>
  </connection>

  <connection>
     <map_components component_2="R5P_phosphorylation" component_1="PRPP"/>
     <map_variables variable_2="PRPP" variable_1="PRPP"/>
     <map_variables variable_2="delta_PRPP_rxn8" variable_1="delta_PRPP_rxn8"/>
  </connection>

  <connection>
     <map_components component_2="R5P_phosphorylation" component_1="RPPK"/>
     <map_variables variable_2="RPPK" variable_1="RPPK"/>
  </connection>

  <connection>
     <map_components component_2="transaldolation" component_1="F6P"/>
     <map_variables variable_2="F6P" variable_1="F6P"/>
     <map_variables variable_2="delta_F6P_rxn9" variable_1="delta_F6P_rxn9"/>
  </connection>

  <connection>
     <map_components component_2="transaldolation" component_1="GAP"/>
     <map_variables variable_2="GAP" variable_1="GAP"/>
     <map_variables variable_2="delta_GAP_rxn9" variable_1="delta_GAP_rxn9"/>
  </connection>

  <connection>
     <map_components component_2="transaldolation" component_1="E4P"/>
     <map_variables variable_2="E4P" variable_1="E4P"/>
     <map_variables variable_2="delta_E4P_rxn9" variable_1="delta_E4P_rxn9"/>
  </connection>

  <connection>
     <map_components component_2="transaldolation" component_1="S7P"/>
     <map_variables variable_2="S7P" variable_1="S7P"/>
     <map_variables variable_2="delta_S7P_rxn9" variable_1="delta_S7P_rxn9"/>
  </connection>

  <connection>
     <map_components component_2="transaldolation" component_1="TAL"/>
     <map_variables variable_2="TAL" variable_1="TAL"/>
  </connection>

  <connection>
     <map_components component_2="phosphoglucose_isomerisation" component_1="F6P"/>
     <map_variables variable_2="F6P" variable_1="F6P"/>
     <map_variables variable_2="delta_F6P_rxn10" variable_1="delta_F6P_rxn10"/>
  </connection>

  <connection>
     <map_components component_2="phosphoglucose_isomerisation" component_1="G6P"/>
     <map_variables variable_2="G6P" variable_1="G6P"/>
     <map_variables variable_2="delta_G6P_rxn10" variable_1="delta_G6P_rxn10"/>
  </connection>

  <connection>
     <map_components component_2="phosphoglucose_isomerisation" component_1="PGI"/>
     <map_variables variable_2="PGI" variable_1="PGI"/>
  </connection>

  <connection>
     <map_components component_2="phosphoglucose_isomerisation" component_1="G6P_dehydrogenation"/>
     <map_variables variable_2="r_G6PDH" variable_1="r_G6PDH"/>
  </connection>

  <connection>
     <map_components component_2="phosphoglucose_isomerisation" component_1="global_variables"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="G6P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="G6PDH"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="NADP"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="NADPH"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="six_PG"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="six_PGDH"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="MgATP"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="F6P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="PGI"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="TKL2"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="X5P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="Ru5P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="Ru5PE"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="R5PI"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="R5P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="GAP"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="E4P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="S7P"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="TKL1"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="TRP"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="TYR"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="PHE"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="PKDHA"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="TAL"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="RPPK"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
     <map_components component_2="global_variables" component_1="PRPP"/>
     <map_variables variable_2="time" variable_1="time"/>
  </connection>
   

<rdf:RDF>
  <rdf:Seq rdf:about="rdf:#0191ba2c-af2d-490a-8aff-d8d389ed6fa4">
    <rdf:li rdf:resource="rdf:#8df6bce4-8c4c-4301-a464-cf12dfeea303"/>
    <rdf:li rdf:resource="rdf:#a53a036a-bf2f-4cb9-9846-ad31abac4cab"/>
    <rdf:li rdf:resource="rdf:#9d27850e-c547-46e1-b351-8a047704a639"/>
    <rdf:li rdf:resource="rdf:#bbda67bf-6c61-41a7-8297-9c9728ad34ea"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#8df6bce4-8c4c-4301-a464-cf12dfeea303">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#df35c15b-c7bd-4bdc-b3d2-28daed364d7c"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fa765b09-33f1-4899-b7e5-2cb6d81c7717">
    <dcterms:W3CDTF>2002-02-25</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#42e5b07b-1df0-4d3a-ad8a-21a7fa700692">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#425698a2-a891-4be6-b2c5-d14f87e5a310">
    <dcterms:W3CDTF>1999-04</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#de7f6abe-711a-4ee6-9a06-bf284a1a5eaf">
    <vCard:Given>Peter</vCard:Given>
    <vCard:Family>Villiger</vCard:Family>
    <vCard:Other>J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#634b033b-5c60-4f51-a856-7b526a9efc1a">
    <rdf:value>
            In the rate equation below, transketolation is treated as a 
            near-equilibrium reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#515ad710-e997-4512-940f-1b9dcc8969e6">
    <dcterms:modified rdf:resource="rdf:#fe1d2aec-1318-44f5-9842-8a6feb5a4252"/>
    <rdf:value>
          Added publication date information.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#b2e79668-915b-4131-a658-c4526960f2c1"/>
  </rdf:Description>
  <rdf:Description rdf:about="#NADP">
    <dcterms:alternative> 
          oxidised nicotinamide adenine dinucleotide phosphate
        </dcterms:alternative>
    <dc:title>NADP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#595b7d9e-e354-4975-8205-f652c456d5ff">
    <dcterms:W3CDTF>2002-01-22</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="#transaldolation">
    <cmeta:comment rdf:resource="rdf:#cb36f9ec-6ae6-4164-a567-ca297191ce72"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#59fd8bef-a274-42d3-a8e9-caa3e8e58ff5">
    <rdf:value>
            The dehydrogenation of glucose-6-phosphate is catalysed by the 
            enzyme G6PDH in a double-substrate, double-product reaction.  G6PDH 
            is non-competitively inhibited by the substrate MgATP.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7e66e6d1-ada5-4d1d-94ed-4f71c133d7c4">
    <rdf:value>
            E4P is an intermediate of the pentose phosphate pathway.  It acts as             a precursor for the biosynthesis of tyrosine, tryptophan and 
            phenylalanine.  Michaelis-Menten kinetics have been applied to the 
            enzyme catalysed anabolic reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#90bb69e7-4fd0-494e-b91a-aefb28309210">
    <dcterms:modified rdf:resource="rdf:#7ea39d9a-2eb4-47ba-a7c3-2e2048fa909f"/>
    <rdf:value>
          Corrected r_PGI equation.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#744cb720-9d88-4757-b851-5fc9400b331b"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#59f5ffa4-8a4f-402a-800a-9509fa809e59">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ee113871-0f34-4567-b5bf-209c44e51d3a">
    <dcterms:modified rdf:resource="rdf:#20a76dc9-3b8b-407f-9c48-1bfd14943102"/>
    <rdf:value>
          Updated syntax to conform with cellml1.1 specs. Changed unit
        dimensions R5P to make them consistent.  
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#d344c291-c1c7-4e70-abb4-322b000a3e6f"/>
  </rdf:Description>
  <rdf:Description rdf:about="#PGI">
    <dcterms:alternative>phosphoglucose isomerase</dcterms:alternative>
    <dc:title>PGI</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#E4P">
    <dcterms:alternative>erythrose 4-phosphate</dcterms:alternative>
    <dc:title>E4P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#F6P">
    <dcterms:alternative>fructose-6-phosphate</dcterms:alternative>
    <dc:title>F6P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#cb36f9ec-6ae6-4164-a567-ca297191ce72">
    <rdf:value>
            In the rate equation below, transaldolation is treated as a 
            near-equilibrium reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9d27850e-c547-46e1-b351-8a047704a639">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#c24d3cc7-24e9-4e6c-983a-a82b8d5bb648"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9e63f363-1c9b-4f07-9bb7-141a7d73303d">
    <dcterms:W3CDTF>2001-11-21</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#bbda67bf-6c61-41a7-8297-9c9728ad34ea">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#9efd90bc-d138-4548-988b-eb43b64b67b5"/>
  </rdf:Description>
  <rdf:Description rdf:about="#TAL">
    <dcterms:alternative>transaldolase</dcterms:alternative>
    <dc:title>TAL</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#six_PG_dehydrogenation">
    <cmeta:comment rdf:resource="rdf:#78637575-21d7-4890-bfce-9ba033a92411"/>
  </rdf:Description>
  <rdf:Description rdf:about="#NADPH">
    <dcterms:alternative>
          reduced nicotinamide adenine dinucleotide phosphate
        </dcterms:alternative>
    <dc:title>NADPH</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d0fae3b5-c8a4-4673-b993-711261805874">
    <vCard:ORG rdf:resource="rdf:#acd42f5a-1702-4ba6-acd8-128380fa8630"/>
    <vCard:EMAIL rdf:resource="rdf:#9eacc5c9-5db3-4c71-9509-2a0136e9466b"/>
    <vCard:N rdf:resource="rdf:#f04093f1-c8c9-4fea-8fb7-8bbce6ad9495"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c1ee6d0e-9f12-4efc-84c4-6ff0e7630acd">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>metabolism</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#4ecc36a7-6936-4095-a282-12747d2fc51b">
    <dc:subject rdf:resource="rdf:#c1ee6d0e-9f12-4efc-84c4-6ff0e7630acd"/>
  </rdf:Description>
  <rdf:Description rdf:about="#six_PGDH">
    <dcterms:alternative>
          6-phosphogluconate dehydrogenase
        </dcterms:alternative>
    <dc:title>six_PGDH</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#09a48248-96ba-4e43-992b-42493210abd2">
    <bqs:Pubmed_id>10935926</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#e4c659a2-5af5-411a-aab3-a6381f5cc7fc"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ee833648-1050-48e1-8dd2-f92927565558">
    <dc:title>Metabolic Engineering</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#eec93635-06a6-4e60-9ab8-ac9e6fd78801">
    <dcterms:W3CDTF>2002-07-22</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="#G6PDH">
    <dcterms:alternative>
          glucose-6-phosphate dehydrogenase
        </dcterms:alternative>
    <dc:title>G6PDH</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e3b5b00e-1223-47d1-ac7d-0cbca37e2e59">
    <rdf:value>
            In the rate equation below, R5P isomerisation is treated as a 
            near-equilibrium reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#vaseghi_baumeister_rizzi_reuss_1999_version01">
    <dc:title>
        A model of the pentose phosphate pathway in the yeast Saccharomyces
        cerevisiae
      </dc:title>
    <cmeta:comment rdf:resource="rdf:#3a0b8cf3-7c12-41a9-b751-466bb9b0b172"/>
    <bqs:reference rdf:resource="rdf:#09a48248-96ba-4e43-992b-42493210abd2"/>
    <bqs:reference rdf:resource="rdf:#4ecc36a7-6936-4095-a282-12747d2fc51b"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#367e2e59-09e4-4f3e-a06d-8f054e9d9754">
    <vCard:N rdf:resource="rdf:#59f5ffa4-8a4f-402a-800a-9509fa809e59"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c24d3cc7-24e9-4e6c-983a-a82b8d5bb648">
    <vCard:Given>Manfred</vCard:Given>
    <vCard:Family>Rizzi</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="#X5P">
    <dcterms:alternative>xylulose 5-phosphate</dcterms:alternative>
    <dc:title>X5P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c6fec8dd-6737-4dba-9bd0-fb919045f801">
    <rdf:value>
            In the rate equation below, Ru5P epimerisation is treated as a 
            near-equilibrium reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#G6P">
    <dcterms:alternative>glucose-6-phosphate</dcterms:alternative>
    <dc:title>G6P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#phosphoglucose_isomerisation">
    <cmeta:comment rdf:resource="rdf:#9087f092-b483-4117-b8cc-f1d65ddc1c2b"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#cc24ac0b-f766-4d68-9f27-e89e4ac149d3">
    <vCard:Given>Autumn</vCard:Given>
    <vCard:Family>Cuellar</vCard:Family>
    <vCard:Other>A.</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e4c659a2-5af5-411a-aab3-a6381f5cc7fc">
    <dc:creator rdf:resource="rdf:#0191ba2c-af2d-490a-8aff-d8d389ed6fa4"/>
    <dc:title>
            In Vivo Dynamics of the Pentose Phosphate Pathway in Saccharomyces               cerevisiae
          </dc:title>
    <bqs:volume>1</bqs:volume>
    <bqs:first_page>128</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#ee833648-1050-48e1-8dd2-f92927565558"/>
    <dcterms:issued rdf:resource="rdf:#425698a2-a891-4be6-b2c5-d14f87e5a310"/>
    <bqs:last_page>140</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="#Ru5P_epimerisation">
    <cmeta:comment rdf:resource="rdf:#c6fec8dd-6737-4dba-9bd0-fb919045f801"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#20a76dc9-3b8b-407f-9c48-1bfd14943102">
    <dcterms:W3CDTF>2005-04-26</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fe1d2aec-1318-44f5-9842-8a6feb5a4252">
    <dcterms:W3CDTF>2003-04-09</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#744cb720-9d88-4757-b851-5fc9400b331b">
    <vCard:N rdf:resource="rdf:#c715a6c1-184f-4217-a3cb-b785e5030ff7"/>
  </rdf:Description>
  <rdf:Description rdf:about="#PRPP">
    <dcterms:alternative>phosphoribosylpyrophosphate</dcterms:alternative>
    <dc:title>PRPP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#71c620a0-5417-484c-9aed-12bdee4b8c08">
    <rdf:value>
            R5P is an intermediate of the pentose phosphate pathway.  It acts as             a precursor for the biosynthesis of histidine and nucleotides (via 
            another intermediate metabolite, phosphoribosylpyrophosphate.  
            Michaelis-Menten kinetics have been applied to the enzyme catalysed 
            anabolic reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#R5P_phosphorylation">
    <cmeta:comment rdf:resource="rdf:#71c620a0-5417-484c-9aed-12bdee4b8c08"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0fb3a09b-2e0b-4c4b-a069-e101e777cd7a">
    <dcterms:modified rdf:resource="rdf:#595b7d9e-e354-4975-8205-f652c456d5ff"/>
    <rdf:value>
          Updated metadata to conform to the 16/1/02 CellML Metadata 1.0 
          Specification.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#88f7107e-430b-4e77-ad7c-665be44aab90"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#68d2a46a-52b5-431c-b28f-b26fcfcf3525">
    <dcterms:modified rdf:resource="rdf:#fa765b09-33f1-4899-b7e5-2cb6d81c7717"/>
    <rdf:value>
          Corrected phosphoglucose_isomerisation reaction equations.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#367e2e59-09e4-4f3e-a06d-8f054e9d9754"/>
  </rdf:Description>
  <rdf:Description rdf:about="#GAP">
    <dcterms:alternative>glyceraldehyde-3-phosphate</dcterms:alternative>
    <dc:title>GAP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#transketolation_2">
    <cmeta:comment rdf:resource="rdf:#28f14f80-6c19-4899-80f1-ab698f22c3f2"/>
  </rdf:Description>
  <rdf:Description rdf:about="#transketolation_1">
    <cmeta:comment rdf:resource="rdf:#634b033b-5c60-4f51-a856-7b526a9efc1a"/>
  </rdf:Description>
  <rdf:Description rdf:about="#R5P_isomerisation">
    <cmeta:comment rdf:resource="rdf:#e3b5b00e-1223-47d1-ac7d-0cbca37e2e59"/>
  </rdf:Description>
  <rdf:Description rdf:about="#E4P_splitting">
    <cmeta:comment rdf:resource="rdf:#7e66e6d1-ada5-4d1d-94ed-4f71c133d7c4"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#cf684b33-95ff-4952-9a67-4d8513436527">
    <vCard:N rdf:resource="rdf:#42e5b07b-1df0-4d3a-ad8a-21a7fa700692"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7ea39d9a-2eb4-47ba-a7c3-2e2048fa909f">
    <dcterms:W3CDTF>2002-02-26</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#28f14f80-6c19-4899-80f1-ab698f22c3f2">
    <rdf:value>
            In the rate equation below, transketolation is treated as a 
            near-equilibrium reaction.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#Ru5P">
    <dcterms:alternative>ribulose 5-phosphate</dcterms:alternative>
    <dc:title>Ru5P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher>
        The University of Auckland, Bioengineering Research Group
      </dc:publisher>
    <cmeta:modification rdf:resource="rdf:#0fb3a09b-2e0b-4c4b-a069-e101e777cd7a"/>
    <cmeta:modification rdf:resource="rdf:#515ad710-e997-4512-940f-1b9dcc8969e6"/>
    <cmeta:modification rdf:resource="rdf:#68d2a46a-52b5-431c-b28f-b26fcfcf3525"/>
    <cmeta:modification rdf:resource="rdf:#7b4c79ff-0d78-451c-9255-77a9707b98ff"/>
    <cmeta:modification rdf:resource="rdf:#90bb69e7-4fd0-494e-b91a-aefb28309210"/>
    <cmeta:modification rdf:resource="rdf:#ee113871-0f34-4567-b5bf-209c44e51d3a"/>
    <dcterms:created rdf:resource="rdf:#9e63f363-1c9b-4f07-9bb7-141a7d73303d"/>
    <dc:creator rdf:resource="rdf:#d0fae3b5-c8a4-4673-b993-711261805874"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b73030da-9050-4915-aa18-2785d4006fd9">
    <vCard:Given>Autumn</vCard:Given>
    <vCard:Family>Cuellar</vCard:Family>
    <vCard:Other>A</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="#R5P">
    <dcterms:alternative>ribose 5-phosphate</dcterms:alternative>
    <dc:title>R5P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a53a036a-bf2f-4cb9-9846-ad31abac4cab">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#94c5e8b6-28a4-44c9-b9a1-f3e1d3efe40e"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b2e79668-915b-4131-a658-c4526960f2c1">
    <vCard:N rdf:resource="rdf:#b73030da-9050-4915-aa18-2785d4006fd9"/>
  </rdf:Description>
  <rdf:Description rdf:about="#PKDHA">
    <dcterms:alternative>
          phospho-2-keto-3-deoxyheptonate
        </dcterms:alternative>
    <dc:title>PKDHA</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#TRP">
    <dcterms:alternative>tryptophan</dcterms:alternative>
    <dc:title>TRP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#TKL1">
    <dcterms:alternative>transketolase 1</dcterms:alternative>
    <dc:title>TKL1</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#TKL2">
    <dcterms:alternative>transketolase 2</dcterms:alternative>
    <dc:title>TKL2</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c715a6c1-184f-4217-a3cb-b785e5030ff7">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7b4c79ff-0d78-451c-9255-77a9707b98ff">
    <dcterms:modified rdf:resource="rdf:#eec93635-06a6-4e60-9ab8-ac9e6fd78801"/>
    <rdf:value>
          Added more metadata.
        </rdf:value>
    <cmeta:modifier rdf:resource="rdf:#cf684b33-95ff-4952-9a67-4d8513436527"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#acd42f5a-1702-4ba6-acd8-128380fa8630">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Research Group</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9eacc5c9-5db3-4c71-9509-2a0136e9466b">
    <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:#9efd90bc-d138-4548-988b-eb43b64b67b5">
    <vCard:Given>Matthias</vCard:Given>
    <vCard:Family>Reuss</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="#RPPK">
    <dcterms:alternative>
          ribose-phosphate pyrophosphokinase
        </dcterms:alternative>
    <dc:title>RPPK</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6ecdc192-4820-47c4-ab9d-6ad4c88cb3de">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="#G6P_dehydrogenation">
    <cmeta:comment rdf:resource="rdf:#59fd8bef-a274-42d3-a8e9-caa3e8e58ff5"/>
  </rdf:Description>
  <rdf:Description rdf:about="#R5PI">
    <dcterms:alternative>ribose-phosphate isomerase</dcterms:alternative>
    <dc:title>R5PI</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#df35c15b-c7bd-4bdc-b3d2-28daed364d7c">
    <vCard:Given>Sam</vCard:Given>
    <vCard:Family>Vaseghi</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="#TYR">
    <dcterms:alternative>tyrosine</dcterms:alternative>
    <dc:title>TYR</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3a0b8cf3-7c12-41a9-b751-466bb9b0b172">
    <dc:creator rdf:resource="rdf:#6ecdc192-4820-47c4-ab9d-6ad4c88cb3de"/>
    <rdf:value>
          This is the CellML description of Vaseghi et al's mathematical   
          model of the pentose phosphate pathway in the yeast Saccharomyces  
          cerevisiae (1999).
        </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#78637575-21d7-4890-bfce-9ba033a92411">
    <rdf:value>
            The dehydrogenation of 6-phosphogluconate is catalysed by the enzyme             six_PGDH in a double-substrate, double-product reaction.  G6PDH is 
            inhibited by the substrate MgATP which directly competes with NADP 
            for access to the enzyme's active site.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#S7P">
    <dcterms:alternative>sedoheptulose 7-phosphate</dcterms:alternative>
    <dc:title>S7P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f04093f1-c8c9-4fea-8fb7-8bbce6ad9495">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9087f092-b483-4117-b8cc-f1d65ddc1c2b">
    <rdf:value>
            G6P is converted into it's isomer F6P in a reaction catalysed by the             enzyme phosphoglucose isomerase (PGI).  All pentose phosphate 
            pathway intermediates inhibit the activity of the glycolytic enzyme 
            PGI.  The relative flux through the glycolysis and the pentose 
            phosphate pathway is regulated by a negative feed-back loop via the 
            pentose phosphate pathway on the branching point PGI/G6PDH.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#six_PG">
    <dcterms:alternative>6-phosphogluconate</dcterms:alternative>
    <dc:title>six_PG</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="#Ru5PE">
    <dcterms:alternative>ribulose-phosphate epimerase</dcterms:alternative>
    <dc:title>Ru5PE</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#94c5e8b6-28a4-44c9-b9a1-f3e1d3efe40e">
    <vCard:Given>Anja</vCard:Given>
    <vCard:Family>Baumeister</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d344c291-c1c7-4e70-abb4-322b000a3e6f">
    <vCard:N rdf:resource="rdf:#de7f6abe-711a-4ee6-9a06-bf284a1a5eaf"/>
  </rdf:Description>
  <rdf:Description rdf:about="#PHE">
    <dcterms:alternative>phenylalanine</dcterms:alternative>
    <dc:title>PHE</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#88f7107e-430b-4e77-ad7c-665be44aab90">
    <vCard:N rdf:resource="rdf:#cc24ac0b-f766-4d68-9f27-e89e4ac149d3"/>
  </rdf:Description>
</rdf:RDF>
</model>