- Author:
- Hanne Nielsen <hnie010@aucklanduni.ac.nz>
- Date:
- 2011-08-08 16:02:18+12:00
- Desc:
- Added images in ai svg and png format. CellML files based on equations 1-3 (a) and 4-8 (b). HTML file also added. Does not reproduce published figure ut does run in OpenCell.
- Permanent Source URI:
- https://models.fieldml.org/workspace/35d/rawfile/81df4382cc0a0cd3cc05a97b6dd94d87f9226895/gall_2000b.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 8/8/2011 at 3:46:11 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/
-->
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<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>
<units name="micromolar_per_minute">
<unit units="micromolar"/>
<unit units="minute" exponent="-1"/>
</units>
<units name="millimolar">
<unit units="millimole"/>
<unit units="litre" exponent="-1"/>
</units>
<component name="environment">
<variable name="time" units="minute" initial_value="0" public_interface="out"/>
</component>
<component name="Z">
<variable name="Z" units="dimensionless" initial_value="0.000179" public_interface="out"/>
<variable name="V_in" units="dimensionless" public_interface="in"/>
<variable name="V_2i" units="dimensionless" public_interface="in"/>
<variable name="V_3i" units="dimensionless" public_interface="in"/>
<variable name="k_f" units="per_minute" initial_value="0.7"/>
<variable name="Y" units="dimensionless" public_interface="in"/>
<variable name="k" units="per_minute" initial_value="10"/>
<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>Z</ci>
</apply>
<apply>
<minus/>
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<plus/>
<apply>
<minus/>
<ci>V_in</ci>
<ci>V_2i</ci>
</apply>
<ci>V_3i</ci>
<apply>
<times/>
<ci>k_f</ci>
<ci>Y</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k</ci>
<ci>Z</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Y">
<variable name="Y" units="dimensionless" initial_value="0.00122" public_interface="out"/>
<variable name="V_2i" units="dimensionless" public_interface="in"/>
<variable name="V_3i" units="dimensionless" public_interface="in"/>
<variable name="k_f" units="per_minute" initial_value="0.7"/>
<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>Y</ci>
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<minus/>
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<minus/>
<ci>V_2i</ci>
<ci>V_3i</ci>
</apply>
<apply>
<times/>
<ci>k_f</ci>
<ci>Y</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="V_in">
<variable name="V_in" units="dimensionless" public_interface="out"/>
<variable name="v_0" units="micromolar_per_minute" initial_value="1"/>
<variable name="v_1" units="micromolar_per_minute" initial_value="5.7"/>
<variable name="beta" units="dimensionless" initial_value="0.3"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_in</ci>
<apply>
<plus/>
<ci>v_0</ci>
<apply>
<times/>
<ci>v_1</ci>
<ci>beta</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="V_2i">
<variable name="V_2i" units="dimensionless" public_interface="out"/>
<variable name="v_M2i" units="micromolar_per_minute" initial_value="30"/>
<variable name="Z" units="dimensionless" public_interface="in"/>
<variable name="n" units="dimensionless" initial_value="2" public_interface="out"/>
<variable name="K_2i" 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_2i</ci>
<apply>
<times/>
<ci>v_M2i</ci>
<apply>
<divide/>
<apply>
<power/>
<ci>Z</ci>
<ci>n</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_2i</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>Z</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="V_3i">
<variable name="V_3i" units="dimensionless" public_interface="out"/>
<variable name="v_M3i" units="micromolar_per_minute" initial_value="325"/>
<variable name="Z" units="dimensionless" public_interface="in"/>
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<variable name="Y" units="dimensionless" public_interface="in"/>
<variable name="m" units="dimensionless" initial_value="4"/>
<variable name="n" units="dimensionless" public_interface="in"/>
<variable name="K_Ri" units="micromolar" initial_value="1.7"/>
<variable name="K_Ai" units="micromolar" initial_value="0.46"/>
<variable name="time" units="minute" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_3i</ci>
<apply>
<times/>
<ci>v_M3i</ci>
<apply>
<divide/>
<apply>
<power/>
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<ci>m</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_Ri</ci>
<ci>m</ci>
</apply>
<apply>
<power/>
<ci>Y</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<power/>
<ci>Z</ci>
<ci>p</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_Ai</ci>
<ci>p</ci>
</apply>
<apply>
<power/>
<ci>Z</ci>
<ci>p</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="Z" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Y" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="V_in" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="V_2i" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="V_3i" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="V_3i" component_2="V_2i"/>
<map_variables variable_1="n" variable_2="n"/>
</connection>
<connection>
<map_components component_1="V_3i" component_2="Y"/>
<map_variables variable_1="Y" variable_2="Y"/>
<map_variables variable_1="V_3i" variable_2="V_3i"/>
</connection>
<connection>
<map_components component_1="V_2i" component_2="Y"/>
<map_variables variable_1="V_2i" variable_2="V_2i"/>
</connection>
<connection>
<map_components component_1="V_3i" component_2="Z"/>
<map_variables variable_1="Z" variable_2="Z"/>
<map_variables variable_1="V_3i" variable_2="V_3i"/>
</connection>
<connection>
<map_components component_1="V_2i" component_2="Z"/>
<map_variables variable_1="Z" variable_2="Z"/>
<map_variables variable_1="V_2i" variable_2="V_2i"/>
</connection>
<connection>
<map_components component_1="V_in" component_2="Z"/>
<map_variables variable_1="V_in" variable_2="V_in"/>
</connection>
<connection>
<map_components component_1="Y" component_2="Z"/>
<map_variables variable_1="Y" variable_2="Y"/>
</connection>
</model>