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

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/25/2013 at 11:49:58 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="AllostericInhibitionMWC" cmeta:id="AllostericInhibitionMWC" 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="AllostericInhibitionMWCTest">
      <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="I" units="mM" public_interface="out"/>
      <variable name="V" units="mM_per_second" public_interface="out"/>
      <variable name="Km_S" units="mM" public_interface="out"/>
      <variable name="n" units="dimensionless" public_interface="out"/>
      <variable name="L" units="dimensionless" public_interface="out"/>
      <variable name="Ki" units="mM" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I</ci>
            <cn cellml:units="mM">0.1</cn>
         </apply>
         <apply>
            <eq/>
            <ci>V</ci>
            <cn cellml:units="mM_per_second">10</cn>
         </apply>
         <apply>
            <eq/>
            <ci>Km_S</ci>
            <cn cellml:units="mM">0.5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>n</ci>
            <cn cellml:units="dimensionless">2</cn>
         </apply>
         <apply>
            <eq/>
            <ci>L</ci>
            <cn cellml:units="dimensionless">0.9</cn>
         </apply>
         <apply>
            <eq/>
            <ci>Ki</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="AllostericInhibitionMWC">
      <variable name="J" units="mM_per_second" public_interface="out"/>
      <variable name="S" units="mM" public_interface="in"/>
      <variable name="I" units="mM" public_interface="in"/>
      <variable name="V" units="mM_per_second" public_interface="in"/>
      <variable name="Km_S" units="mM" public_interface="in"/>
      <variable name="n" units="dimensionless" public_interface="in"/>
      <variable name="L" units="dimensionless" public_interface="in"/>
      <variable name="Ki" 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>
                     <power/>
                     <apply>
                        <plus/>
                        <ci>Km_S</ci>
                        <ci>S</ci>
                     </apply>
                     <apply>
                        <minus/>
                        <ci>n</ci>
                        <cn cellml:units="dimensionless">1</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>L</ci>
                     <apply>
                        <power/>
                        <apply>
                           <times/>
                           <ci>Km_S</ci>
                           <apply>
                              <plus/>
                              <cn cellml:units="dimensionless">1</cn>
                              <apply>
                                 <divide/>
                                 <ci>I</ci>
                                 <ci>Ki</ci>
                              </apply>
                           </apply>
                        </apply>
                        <ci>n</ci>
                     </apply>
                  </apply>
                  <apply>
                     <power/>
                     <apply>
                        <plus/>
                        <ci>Km_S</ci>
                        <ci>S</ci>
                     </apply>
                     <ci>n</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="AllostericInhibitionMWCTest" component_2="AllostericInhibitionMWC"/>
      <map_variables variable_1="J" variable_2="J"/>
      <map_variables variable_1="S" variable_2="S"/>
      <map_variables variable_1="I" variable_2="I"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="Km_S" variable_2="Km_S"/>
      <map_variables variable_1="n" variable_2="n"/>
      <map_variables variable_1="L" variable_2="L"/>
      <map_variables variable_1="Ki" variable_2="Ki"/>
   </connection>
</model>