<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/25/2013 at 6:06:02 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="PingPongBiBi" cmeta:id="PingPongBiBi" 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="Test">
<variable name="t" units="second"/>
<variable name="J" units="mM_per_second" public_interface="in"/>
<variable name="S1" units="mM" initial_value="2" public_interface="out"/>
<variable name="S2" units="mM" initial_value="1" 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="V_f" units="mM_per_second" public_interface="out"/>
<variable name="V_b" units="mM_per_second" public_interface="out"/>
<variable name="Keq" units="dimensionless" public_interface="out"/>
<variable name="Km_S1" units="mM" public_interface="out"/>
<variable name="Km_S2" units="mM" public_interface="out"/>
<variable name="Km_P1" units="mM" public_interface="out"/>
<variable name="Km_P2" units="mM" public_interface="out"/>
<variable name="Ki_S1" units="mM" public_interface="out"/>
<variable name="Ki_P2" 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>Keq</ci>
<cn cellml:units="dimensionless">0.2</cn>
</apply>
<apply>
<eq/>
<ci>Km_S1</ci>
<cn cellml:units="mM">0.1</cn>
</apply>
<apply>
<eq/>
<ci>Km_S2</ci>
<cn cellml:units="mM">0.5</cn>
</apply>
<apply>
<eq/>
<ci>Km_P1</ci>
<cn cellml:units="mM">0.1</cn>
</apply>
<apply>
<eq/>
<ci>Km_P2</ci>
<cn cellml:units="mM">0.5</cn>
</apply>
<apply>
<eq/>
<ci>Ki_S1</ci>
<cn cellml:units="mM">0.5</cn>
</apply>
<apply>
<eq/>
<ci>Ki_P2</ci>
<cn cellml:units="mM">0.5</cn>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>S1</ci>
</apply>
<apply>
<minus/>
<ci>J</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>S2</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="PingPongBiBi">
<variable name="J" units="mM_per_second" public_interface="out"/>
<variable name="S1" units="mM" public_interface="in"/>
<variable name="S2" units="mM" public_interface="in"/>
<variable name="P1" units="mM" public_interface="in"/>
<variable name="P2" 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="Keq" units="dimensionless" public_interface="in"/>
<variable name="Km_S1" units="mM" public_interface="in"/>
<variable name="Km_S2" units="mM" public_interface="in"/>
<variable name="Km_P1" units="mM" public_interface="in"/>
<variable name="Km_P2" units="mM" public_interface="in"/>
<variable name="Ki_S1" units="mM" public_interface="in"/>
<variable name="Ki_P2" 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_f</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>S1</ci>
<ci>S2</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>P1</ci>
<ci>P2</ci>
</apply>
<ci>Keq</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>S1</ci>
<ci>S2</ci>
</apply>
<apply>
<times/>
<ci>Km_S2</ci>
<ci>S1</ci>
</apply>
<apply>
<times/>
<ci>Km_S1</ci>
<ci>S2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>P2</ci>
<ci>Ki_P2</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>V_f</ci>
<apply>
<times/>
<ci>V_b</ci>
<ci>Keq</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Km_P2</ci>
<ci>P1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>S1</ci>
<ci>Ki_S1</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>P2</ci>
<apply>
<plus/>
<ci>Km_P1</ci>
<ci>P1</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="Test" component_2="PingPongBiBi"/>
<map_variables variable_1="J" variable_2="J"/>
<map_variables variable_1="S1" variable_2="S1"/>
<map_variables variable_1="S1" variable_2="S2"/>
<map_variables variable_1="P1" variable_2="P1"/>
<map_variables variable_1="P2" variable_2="P2"/>
<map_variables variable_1="V_f" variable_2="V_f"/>
<map_variables variable_1="V_b" variable_2="V_b"/>
<map_variables variable_1="Keq" variable_2="Keq"/>
<map_variables variable_1="Km_S1" variable_2="Km_S1"/>
<map_variables variable_1="Km_S2" variable_2="Km_S2"/>
<map_variables variable_1="Km_P1" variable_2="Km_P1"/>
<map_variables variable_1="Km_P2" variable_2="Km_P2"/>
<map_variables variable_1="Ki_S1" variable_2="Ki_S1"/>
<map_variables variable_1="Ki_P2" variable_2="Ki_P2"/>
</connection>
</model>
