Location: Metabolic Component Library @ 68ba6ec9f605 / library / MichaelisMentenIrrev.cellml

Author:

Matthias K?nig <matthias.koenig@charite.de>

Date:

2013-04-12 16:18:22+02:00

Desc:

Example 3 Mass Action working.

Permanent Source URI:

https://models.cellml.org/w/matthiaskoenig/MetabolicComponentLibrary/rawfile/68ba6ec9f60517321471b0d87c28d23ff2dccc9a/library/MichaelisMentenIrrev.cellml

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 4/10/2013 at 3:33:45 at PM 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="MichaelisMentenIrrev" cmeta:id="MichaelisMentenIrrev" 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="Network">
      <variable name="t" units="second"/>
      <variable name="v1" 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"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>S</ci>
            </apply>
            <apply>
               <minus/>
               <ci>v1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>P</ci>
            </apply>
            <ci>v1</ci>
         </apply>
      </math>
   </component>
   <component name="Reaction_1">
      <variable name="J" units="mM_per_second" public_interface="out" private_interface="in"/>
      <variable name="S" units="mM" public_interface="in" private_interface="out"/>
      <variable name="V" units="mM_per_second" private_interface="out"/>
      <variable name="Km_S" units="mM" private_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>V</ci>
            <cn cellml:units="mM_per_second">10</cn>
         </apply>
         <apply>
            <eq/>
            <ci>Km_S</ci>
            <cn cellml:units="mM">0.3</cn>
         </apply>
      </math>
   </component>
   <component name="MichaelisMentenIrrev">
      <variable name="J" units="mM_per_second" public_interface="out"/>
      <variable name="S" units="mM" public_interface="in"/>
      <variable name="V" units="mM_per_second" public_interface="in"/>
      <variable name="Km_S" units="mM" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>V</ci>
                  <ci>S</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>Km_S</ci>
                  <ci>S</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <group>
      <relationship_ref relationship="encapsulation"/>
      <component_ref component="Reaction_1">
         <component_ref component="MichaelisMentenIrrev"/>
      </component_ref>
   </group>
   <connection>
      <map_components component_1="Network" component_2="Reaction_1"/>
      <map_variables variable_1="v1" variable_2="J"/>
      <map_variables variable_1="S" variable_2="S"/>
   </connection>
   <connection>
      <map_components component_1="Reaction_1" component_2="MichaelisMentenIrrev"/>
      <map_variables variable_1="J" variable_2="J"/>
      <map_variables variable_1="S" variable_2="S"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="Km_S" variable_2="Km_S"/>
   </connection>
</model>