- Author:
- Hanne Nielsen <hnie010@aucklanduni.ac.nz>
- Date:
- 2011-08-04 14:40:04+12:00
- Desc:
- Added model with extra 2 equations. Now has integration error at t=1.38515
- Permanent Source URI:
- http://models.cellml.org/w/hnielsen/cardenas_1996/rawfile/4693f5159b8047fbec6805f36670fcf91caf1ba6/cardenas_1996_four_equations.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 8/4/2011 at 2:09:09 at PM using:
COR (0.9.31.1409)
Copyright 2002-2011 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="cardenas_1996" cmeta:id="cardenas_1996" 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="millimole">
<unit units="mole" prefix="milli"/>
</units>
<units name="millimolar">
<unit units="millimole"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="minute">
<unit units="second" multiplier="60"/>
</units>
<units name="per_minute">
<unit units="minute" exponent="-1"/>
</units>
<units name="millimolar_per_minute">
<unit units="millimolar"/>
<unit units="minute" exponent="-1"/>
</units>
<component name="environment">
<variable name="time" units="minute" public_interface="out"/>
</component>
<component name="Pha">
<variable name="Pha" units="millimolar" initial_value="0.845" public_interface="out"/>
<variable name="V_1" units="per_minute" initial_value="1.25"/>
<variable name="K_1" units="dimensionless" initial_value="0.1" public_interface="out"/>
<variable name="K_2" units="dimensionless" initial_value="0.2"/>
<variable name="V_M2" units="per_minute" initial_value="0.22"/>
<variable name="alpha" units="dimensionless" initial_value="9"/>
<variable name="GLC" units="millimolar" public_interface="in"/>
<variable name="K_a1" units="millimolar" initial_value="10"/>
<variable name="K_a2" units="millimolar" initial_value="10"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
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<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Pha</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>V_1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Pha</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>K_1</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>Pha</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>V_M2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha</ci>
<ci>GLC</ci>
</apply>
<apply>
<plus/>
<ci>K_a1</ci>
<ci>GLC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<ci>K_2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>GLC</ci>
<ci>K_a2</ci>
</apply>
</apply>
</apply>
<ci>Pha</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="GSa">
<variable name="GSa" units="millimolar" initial_value="0.02"/>
<variable name="Pha" units="millimolar" public_interface="in"/>
<variable name="V_M3" units="per_minute" initial_value="0.05"/>
<variable name="beta" units="dimensionless" initial_value="9"/>
<variable name="G6P" units="millimolar" public_interface="in"/>
<variable name="K_a3" units="millimolar" initial_value="0.5"/>
<variable name="K_1" units="dimensionless" public_interface="in"/>
<variable name="K_3" units="dimensionless" initial_value="0.4"/>
<variable name="K_4" units="dimensionless" initial_value="0.4"/>
<variable name="K_a4" units="millimolar" initial_value="0.5"/>
<variable name="V_4" units="per_minute" initial_value="0.2"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>GSa</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>V_M3</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>beta</ci>
<ci>G6P</ci>
</apply>
<apply>
<plus/>
<ci>K_a3</ci>
<ci>G6P</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci>K_1</ci>
<apply>
<plus/>
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<ci>Pha</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>GSa</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
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<ci>K_3</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
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<ci>K_a4</ci>
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<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>GSa</ci>
</apply>
</apply>
<apply>
<divide/>
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<times/>
<ci>V_4</ci>
<ci>GSa</ci>
</apply>
<apply>
<plus/>
<ci>K_4</ci>
<apply>
<times/>
<ci>GSa</ci>
<cn cellml:units="per_minute">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="GLC">
<variable name="GLC" units="millimolar" initial_value="5" public_interface="out"/>
<variable name="k5" units="millimolar_per_minute" initial_value="2.75"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
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<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>GLC</ci>
</apply>
<ci>k5</ci>
</apply>
</math>
</component>
<component name="G6P">
<variable name="G6P" units="millimolar" initial_value="0.1" public_interface="out"/>
<variable name="k6" units="millimolar_per_minute" initial_value="0.03"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>G6P</ci>
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<ci>k6</ci>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="Pha"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="GSa"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="GLC"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="G6P"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Pha" component_2="GSa"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
<map_variables variable_1="Pha" variable_2="Pha"/>
</connection>
<connection>
<map_components component_1="Pha" component_2="GLC"/>
<map_variables variable_1="GLC" variable_2="GLC"/>
</connection>
<connection>
<map_components component_1="G6P" component_2="GSa"/>
<map_variables variable_1="G6P" variable_2="G6P"/>
</connection>
</model>
