- Author:
- Matthias K?nig <matthias.koenig@charite.de>
- Date:
- 2013-04-12 15:08:29+02:00
- Desc:
- Second mass action example A <-> B <-> C.
Not working due to sharing of B ?
- Permanent Source URI:
- https://models.cellml.org/w/matthiaskoenig/MetabolicComponentLibrary/rawfile/622e59f330fd0a6e774e06a8c86be56edb53d1f3/library/Hill2ModifierRev.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 4/10/2013 at 12:38:21 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="Hill2ModifierRev" cmeta:id="Hill2ModifierRev" 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" public_interface="out"/>
<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="P" units="mM" public_interface="in" private_interface="out"/>
<variable name="M1" units="mM" private_interface="out"/>
<variable name="M2" units="mM" private_interface="out"/>
<variable name="V" units="mM_per_second" private_interface="out"/>
<variable name="Keq" units="dimensionless" private_interface="out"/>
<variable name="Km_S" units="mM" private_interface="out"/>
<variable name="Km_P" units="mM" private_interface="out"/>
<variable name="Km_M1" units="mM" private_interface="out"/>
<variable name="Km_M2" units="mM" private_interface="out"/>
<variable name="a_A" units="dimensionless" private_interface="out"/>
<variable name="a_B" units="dimensionless" private_interface="out"/>
<variable name="a_AB" units="dimensionless" private_interface="out"/>
<variable name="h" units="dimensionless" private_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>M1</ci>
<cn cellml:units="mM">0.3</cn>
</apply>
<apply>
<eq/>
<ci>M2</ci>
<cn cellml:units="mM">0.2</cn>
</apply>
<apply>
<eq/>
<ci>V</ci>
<cn cellml:units="mM_per_second">10</cn>
</apply>
<apply>
<eq/>
<ci>Keq</ci>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<apply>
<eq/>
<ci>a_A</ci>
<cn cellml:units="dimensionless">0.8</cn>
</apply>
<apply>
<eq/>
<ci>a_B</ci>
<cn cellml:units="dimensionless">0.7</cn>
</apply>
<apply>
<eq/>
<ci>a_AB</ci>
<cn cellml:units="dimensionless">0.6</cn>
</apply>
<apply>
<eq/>
<ci>h</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<eq/>
<ci>Km_S</ci>
<cn cellml:units="mM">0.3</cn>
</apply>
<apply>
<eq/>
<ci>Km_P</ci>
<cn cellml:units="mM">0.2</cn>
</apply>
<apply>
<eq/>
<ci>Km_M1</ci>
<cn cellml:units="mM">0.2</cn>
</apply>
<apply>
<eq/>
<ci>Km_M2</ci>
<cn cellml:units="mM">0.3</cn>
</apply>
</math>
</component>
<component name="Hill2ModifierRev">
<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="M1" units="mM" public_interface="in"/>
<variable name="M2" units="mM" public_interface="in"/>
<variable name="V" units="mM_per_second" public_interface="in"/>
<variable name="Keq" units="dimensionless" public_interface="in"/>
<variable name="Km_S" units="mM" public_interface="in"/>
<variable name="Km_P" units="mM" public_interface="in"/>
<variable name="Km_M1" units="mM" public_interface="in"/>
<variable name="Km_M2" units="mM" public_interface="in"/>
<variable name="a_A" units="dimensionless" public_interface="in"/>
<variable name="a_B" units="dimensionless" public_interface="in"/>
<variable name="a_AB" units="dimensionless" public_interface="in"/>
<variable name="h" units="dimensionless" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>S</ci>
</apply>
<ci>Km_S</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>P</ci>
<apply>
<times/>
<ci>S</ci>
<ci>Keq</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci>S</ci>
<ci>Km_S</ci>
</apply>
<apply>
<divide/>
<ci>P</ci>
<ci>Km_P</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>h</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>M1</ci>
<ci>Km_M1</ci>
</apply>
<ci>h</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>M2</ci>
<ci>Km_M2</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>a_A</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>M1</ci>
<ci>Km_M1</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>a_B</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>M2</ci>
<ci>Km_M2</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>a_A</ci>
<ci>a_B</ci>
<ci>a_AB</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>M1</ci>
<ci>Km_M1</ci>
</apply>
<ci>h</ci>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>M2</ci>
<ci>Km_M2</ci>
</apply>
<ci>h</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<power/>
<apply>
<plus/>
<apply>
<divide/>
<ci>S</ci>
<ci>Km_S</ci>
</apply>
<apply>
<divide/>
<ci>P</ci>
<ci>Km_P</ci>
</apply>
</apply>
<ci>h</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="Reaction_1">
<component_ref component="Hill2ModifierRev"/>
</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"/>
<map_variables variable_1="P" variable_2="P"/>
</connection>
<connection>
<map_components component_1="Reaction_1" component_2="Hill2ModifierRev"/>
<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="M1" variable_2="M1"/>
<map_variables variable_1="M2" variable_2="M2"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="Keq" variable_2="Keq"/>
<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_M1" variable_2="Km_M1"/>
<map_variables variable_1="Km_M2" variable_2="Km_M2"/>
<map_variables variable_1="h" variable_2="h"/>
<map_variables variable_1="a_A" variable_2="a_A"/>
<map_variables variable_1="a_B" variable_2="a_B"/>
<map_variables variable_1="a_AB" variable_2="a_AB"/>
</connection>
</model>