- Author:
- dave <dave@bcs.co.nz>
- Date:
- 2013-01-04 12:32:48+13:00
- Desc:
- Equation 8 from original paper was wrong in model; correctly define units for all variables.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/35d/rawfile/9cc2d56056c85c516e53c1d590fe34916a8b4a48/gall_2000_take2.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 8/16/2011 at 10:43:13 at AM 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="gall_2000" cmeta:id="gall_2000" 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="minute">
<unit units="second" multiplier="60"/>
</units>
<units name="per_minute">
<unit units="minute" exponent="-1"/>
</units>
<units name="millimole">
<unit units="mole" prefix="milli"/>
</units>
<units name="micromole">
<unit units="mole" prefix="micro"/>
</units>
<units name="micromolar">
<unit units="micromole"/>
<unit units="litre" exponent="-1"/>
</units>
<component name="environment">
<variable name="time" units="minute" initial_value="0" public_interface="out"/>
</component>
<component name="Pha">
<variable name="Pha" units="dimensionless" initial_value="0.098"/>
<variable name="V_1" units="dimensionless" public_interface="in"/>
<variable name="Z" units="dimensionless" public_interface="in"/>
<variable name="K_1" units="dimensionless" public_interface="in"/>
<variable name="V_M2" units="per_minute" initial_value="0.6"/>
<variable name="alpha" units="dimensionless" initial_value="9"/>
<variable name="Glc" units="micromolar" initial_value="10000"/>
<variable name="K_2" units="dimensionless" initial_value="0.2"/>
<variable name="K_a1" units="micromolar" initial_value="10000"/>
<variable name="K_a2" units="micromolar" initial_value="10000"/>
<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>Pha</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>V_1</ci>
<ci>Z</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Pha</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>K_1</ci>
<ci>Z</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>Pha</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>V_M2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>alpha</ci>
<ci>Glc</ci>
<apply>
<plus/>
<ci>K_a1</ci>
<ci>Glc</ci>
</apply>
</apply>
</apply>
<ci>Pha</ci>
</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="V_1">
<variable name="V_1" units="dimensionless" public_interface="out"/>
<variable name="V_M1" units="per_minute" initial_value="1.5"/>
<variable name="gamma" units="dimensionless" initial_value="9"/>
<variable name="Z" units="dimensionless" public_interface="in"/>
<variable name="K_a5" units="micromolar" initial_value="0.5"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_1</ci>
<apply>
<times/>
<ci>V_M1</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>gamma</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<power/>
<ci>Z</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
<apply>
<power/>
<ci>K_a5</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<power/>
<ci>Z</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="K_1">
<variable name="K_1" units="dimensionless" public_interface="out"/>
<variable name="K_11" units="dimensionless" initial_value="0.1"/>
<variable name="Z" units="dimensionless" public_interface="in"/>
<variable name="K_a6" units="micromolar" initial_value="0.5"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<divide/>
<ci>K_11</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<power/>
<ci>Z</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
<apply>
<power/>
<ci>K_a6</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Z">
<variable name="Z" units="dimensionless" public_interface="out"/>
<variable name="A" units="micromolar" initial_value="0.3"/>
<variable name="B" units="micromolar" initial_value="0.25"/>
<variable name="v" units="per_minute" initial_value="1"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Z</ci>
<apply>
<plus/>
<ci>A</ci>
<apply>
<times/>
<ci>B</ci>
<apply>
<sin/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<pi/>
<ci>v</ci>
<ci>time</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="Pha" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="V_1" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="K_1" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Z" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Pha" component_2="Z"/>
<map_variables variable_1="Z" variable_2="Z"/>
</connection>
<connection>
<map_components component_1="Pha" component_2="V_1"/>
<map_variables variable_1="V_1" variable_2="V_1"/>
</connection>
<connection>
<map_components component_1="K_1" component_2="Pha"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
</connection>
<connection>
<map_components component_1="K_1" component_2="Z"/>
<map_variables variable_1="Z" variable_2="Z"/>
</connection>
<connection>
<map_components component_1="V_1" component_2="Z"/>
<map_variables variable_1="Z" variable_2="Z"/>
</connection>
</model>
