Location: Metabolic Component Library @ a0b670aa4a20 / library / ReversibleMichaelisMenten.cellml

Author:
Tommy Yu <tommy.yu@auckland.ac.nz>
Date:
2013-03-27 15:29:53+13:00
Desc:
Fixed case and only the title is needed.
Permanent Source URI:
http://models.cellml.org/w/matthiaskoenig/MetabolicComponentLibrary/rawfile/a0b670aa4a2052484c3e0fa36417853b2e3b5d89/library/ReversibleMichaelisMenten.cellml

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/21/2013 at 8:47:10 at AM using:

COR (0.9.31.1409)
Copyright 2002-2013 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk

Metabolic Component Library for CellML
Matthias Koenig (matthias.koenig@charite.de)
-->
<model name="ReversibleMichaelisMenten" cmeta:id="ReversibleMichaelisMenten" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.1#">
   <units name="mM">
      <unit units="mole" prefix="milli"/>
      <unit units="liter" exponent="-1"/>
   </units>
   <units name="per_second">
      <unit units="second" exponent="-1"/>
   </units>
   <units name="mM_per_second">
      <unit units="mM"/>
      <unit units="second" exponent="-1"/>
   </units>
   <component name="Test">
      <variable name="t" units="second"/>
      <variable name="J" units="mM_per_second" public_interface="in"/>
      <variable name="S" units="mM" initial_value="1" public_interface="out"/>
      <variable name="P" units="mM" initial_value="0" public_interface="out"/>
      <variable name="V_f" units="mM_per_second" public_interface="out"/>
      <variable name="V_b" units="mM_per_second" public_interface="out"/>
      <variable name="Km_S" units="mM" public_interface="out"/>
      <variable name="Km_P" units="mM" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V_f</ci>
            <cn cellml:units="mM_per_second">10</cn>
         </apply>
         <apply>
            <eq/>
            <ci>V_b</ci>
            <cn cellml:units="mM_per_second">3</cn>
         </apply>
         <apply>
            <eq/>
            <ci>Km_S</ci>
            <cn cellml:units="mM">0.5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>Km_P</ci>
            <cn cellml:units="mM">0.5</cn>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>S</ci>
            </apply>
            <apply>
               <minus/>
               <ci>J</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>P</ci>
            </apply>
            <ci>J</ci>
         </apply>
      </math>
   </component>
   <component name="ReversibleMichaelisMenten">
      <variable name="J" units="mM_per_second" public_interface="out"/>
      <variable name="S" units="mM" public_interface="in"/>
      <variable name="P" units="mM" public_interface="in"/>
      <variable name="V_f" units="mM_per_second" public_interface="in"/>
      <variable name="V_b" units="mM_per_second" public_interface="in"/>
      <variable name="Km_S" units="mM" public_interface="in"/>
      <variable name="Km_P" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J</ci>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_f</ci>
                        <ci>S</ci>
                     </apply>
                     <ci>Km_S</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>V_b</ci>
                        <ci>P</ci>
                     </apply>
                     <ci>Km_P</ci>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>S</ci>
                     <ci>Km_S</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <ci>P</ci>
                     <ci>Km_P</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="Test" component_2="ReversibleMichaelisMenten"/>
      <map_variables variable_1="J" variable_2="J"/>
      <map_variables variable_1="S" variable_2="S"/>
      <map_variables variable_1="P" variable_2="P"/>
      <map_variables variable_1="V_f" variable_2="V_f"/>
      <map_variables variable_1="V_b" variable_2="V_b"/>
      <map_variables variable_1="Km_S" variable_2="Km_S"/>
      <map_variables variable_1="Km_P" variable_2="Km_P"/>
   </connection>
</model>