Location: Metabolic Component Library @ 1099d7f4749a / MassActionUniBiRev.cellml

Author:
Matthias K?nig <matthias.koenig@charite.de>
Date:
2013-03-25 12:33:06+01:00
Desc:
Initial commit. COPASI 4.8 (Build 35) kinetic equations with test cases implemented.
Permanent Source URI:
https://models.cellml.org/w/matthiaskoenig/MetabolicComponentLibrary/rawfile/1099d7f4749a60d2aceccc2e0d98ed28086fbe2a/MassActionUniBiRev.cellml

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/21/2013 at 9:50:04 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

CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
<model name="MassActionUniBiRev" cmeta:id="MassActionUniBiRev" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
   <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>
   <units name="per_mM_per_second">
      <unit units="mM" exponent="-1"/>
      <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="2" public_interface="out"/>
      <variable name="P1" units="mM" initial_value="1" public_interface="out"/>
      <variable name="P2" units="mM" initial_value="0" public_interface="out"/>
      <variable name="k_f" units="per_second" public_interface="out"/>
      <variable name="k_b" units="per_mM_per_second" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>k_f</ci>
            <cn cellml:units="per_second">10</cn>
         </apply>
         <apply>
            <eq/>
            <ci>k_b</ci>
            <cn cellml:units="per_mM_per_second">3</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>P1</ci>
            </apply>
            <ci>J</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>P2</ci>
            </apply>
            <ci>J</ci>
         </apply>
      </math>
   </component>
   <component name="MassActionUniBiRev">
      <variable name="J" units="mM_per_second" public_interface="out"/>
      <variable name="S" units="mM" public_interface="in"/>
      <variable name="P1" units="mM" public_interface="in"/>
      <variable name="P2" units="mM" public_interface="in"/>
      <variable name="k_f" units="per_second" public_interface="in"/>
      <variable name="k_b" units="per_mM_per_second" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J</ci>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>k_f</ci>
                  <ci>S</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_b</ci>
                  <ci>P1</ci>
                  <ci>P2</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="Test" component_2="MassActionUniBiRev"/>
      <map_variables variable_1="J" variable_2="J"/>
      <map_variables variable_1="S" variable_2="S"/>
      <map_variables variable_1="P1" variable_2="P1"/>
      <map_variables variable_1="P2" variable_2="P2"/>
      <map_variables variable_1="k_f" variable_2="k_f"/>
      <map_variables variable_1="k_b" variable_2="k_b"/>
   </connection>
</model>