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

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/21/2013 at 8:59:27 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="SpecificActivationRev" cmeta:id="SpecificActivationRev" 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>
   <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="A" units="mM" 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"/>
      <variable name="Km_A" 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>A</ci>
            <cn cellml:units="mM">0.3</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/>
            <ci>Km_A</ci>
            <cn cellml:units="mM">0.1</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="SpecificActivationRev">
      <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="A" 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"/>
      <variable name="Km_A" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <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>
                  <ci>A</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Km_A</ci>
                  <apply>
                     <times/>
                     <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>
                     <ci>A</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="Test" component_2="SpecificActivationRev"/>
      <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="A" variable_2="A"/>
      <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"/>
      <map_variables variable_1="Km_A" variable_2="Km_A"/>
   </connection>
</model>