- Author:
- Hanne Nielsen <hnie010@aucklanduni.ac.nz>
- Date:
- 2011-10-31 12:54:42+13:00
- Desc:
- Removed reference to grubelnik
- Permanent Source URI:
- http://models.cellml.org/w/hnielsen/becker_2010/rawfile/8287d58dddeae6cd294bd4d64d1fff0d3d252982/becker_2010_b.cellml
<?xml version="1.0"?>
<!--
This CellML file was generated on 10/21/2011 at 1:59:47 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 xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="becker_2010_b" name="becker_2010_b">
<units name="picomole">
<unit prefix="pico" units="mole"/>
</units>
<units name="picomolar">
<unit units="picomole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="minute">
<unit multiplier="60" units="second"/>
</units>
<units name="per_minute">
<unit exponent="-1" units="minute"/>
</units>
<units name="per_picomolar_per_minute">
<unit exponent="-1" units="picomolar"/>
<unit exponent="-1" units="minute"/>
</units>
<component name="environment">
<variable cmeta:id="environment_time" name="time" public_interface="out" units="minute"/>
</component>
<component name="x_1">
<variable cmeta:id="x_1_x_1" initial_value="516" name="x_1" public_interface="out" units="picomolar"/>
<variable name="k_t" public_interface="in" units="per_minute"/>
<variable name="B_max" public_interface="in" units="picomolar"/>
<variable name="k_on" public_interface="in" units="per_picomolar_per_minute"/>
<variable name="x_2" public_interface="in" units="picomolar"/>
<variable name="k_off" public_interface="in" units="per_minute"/>
<variable name="x_3" public_interface="in" units="picomolar"/>
<variable name="k_ex" public_interface="in" units="per_minute"/>
<variable name="x_4" public_interface="in" units="picomolar"/>
<variable name="k_mob" public_interface="in" units="per_minute"/>
<variable name="time" public_interface="in" units="minute"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>x_1</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_t</ci>
<ci>B_max</ci>
</apply>
<apply>
<times/>
<ci>k_mob</ci>
<ci>x_3</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_t</ci>
<ci>x_1</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_on</ci>
<ci>x_1</ci>
<ci>x_2</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_off</ci>
<ci>x_3</ci>
</apply>
<apply>
<times/>
<ci>k_ex</ci>
<ci>x_4</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="x_2">
<variable cmeta:id="x_2_x_2" initial_value="2010.19" name="x_2" public_interface="out" units="picomolar"/>
<variable name="k_on" public_interface="in" units="per_picomolar_per_minute"/>
<variable name="x_1" public_interface="in" units="picomolar"/>
<variable name="k_off" public_interface="in" units="per_minute"/>
<variable name="x_3" public_interface="in" units="picomolar"/>
<variable name="k_ex" public_interface="in" units="per_minute"/>
<variable name="x_4" public_interface="in" units="picomolar"/>
<variable name="time" public_interface="in" units="minute"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>x_2</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>k_on</ci>
</apply>
<ci>x_1</ci>
<ci>x_2</ci>
</apply>
<apply>
<times/>
<ci>k_off</ci>
<ci>x_3</ci>
</apply>
<apply>
<times/>
<ci>k_ex</ci>
<ci>x_4</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="x_3">
<variable cmeta:id="x_3_x_3" initial_value="0" name="x_3" public_interface="out" units="picomolar"/>
<variable name="k_on" public_interface="in" units="per_picomolar_per_minute"/>
<variable name="x_1" public_interface="in" units="picomolar"/>
<variable name="k_off" public_interface="in" units="per_minute"/>
<variable name="x_2" public_interface="in" units="picomolar"/>
<variable name="k_e" public_interface="in" units="per_minute"/>
<variable name="time" public_interface="in" units="minute"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>x_3</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci>k_on</ci>
<ci>x_1</ci>
<ci>x_2</ci>
</apply>
<apply>
<times/>
<ci>k_off</ci>
<ci>x_3</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_e</ci>
<ci>x_3</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="x_4">
<variable cmeta:id="x_4_x_4" initial_value="0" name="x_4" public_interface="out" units="picomolar"/>
<variable name="k_ex" public_interface="in" units="per_minute"/>
<variable name="k_di" public_interface="in" units="per_minute"/>
<variable name="k_de" public_interface="in" units="per_minute"/>
<variable name="x_3" public_interface="in" units="picomolar"/>
<variable name="k_e" public_interface="in" units="per_minute"/>
<variable name="time" public_interface="in" units="minute"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>x_4</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<times/>
<ci>k_e</ci>
<ci>x_3</ci>
</apply>
<apply>
<times/>
<ci>k_ex</ci>
<ci>x_4</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_di</ci>
<ci>x_4</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_de</ci>
<ci>x_4</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="x_5">
<variable cmeta:id="x_5_x_5" initial_value="0" name="x_5" public_interface="out" units="picomolar"/>
<variable name="k_di" public_interface="in" units="per_minute"/>
<variable name="x_4" public_interface="in" units="picomolar"/>
<variable name="time" public_interface="in" units="minute"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>x_5</ci>
</apply>
<apply>
<times/>
<ci>k_di</ci>
<ci>x_4</ci>
</apply>
</apply>
</math>
</component>
<component name="x_6">
<variable cmeta:id="x_6_x_6" initial_value="0" name="x_6" public_interface="out" units="picomolar"/>
<variable name="k_de" public_interface="in" units="per_minute"/>
<variable name="x_4" public_interface="in" units="picomolar"/>
<variable name="time" public_interface="in" units="minute"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>x_6</ci>
</apply>
<apply>
<times/>
<ci>k_de</ci>
<ci>x_4</ci>
</apply>
</apply>
</math>
</component>
<component name="model_parameters">
<variable initial_value="0.03294" name="k_t" public_interface="out" units="per_minute"/>
<variable initial_value="0.10496e-3" name="k_on" public_interface="out" units="per_picomolar_per_minute"/>
<variable initial_value="0.01721" name="k_off" public_interface="out" units="per_minute"/>
<variable initial_value="0.07483" name="k_e" public_interface="out" units="per_minute"/>
<variable initial_value="0.00994" name="k_ex" public_interface="out" units="per_minute"/>
<variable initial_value="0.003179" name="k_di" public_interface="out" units="per_minute"/>
<variable initial_value="0.0164" name="k_de" public_interface="out" units="per_minute"/>
<variable initial_value="129" name="B_max" public_interface="out" units="picomolar"/>
<variable initial_value="0.4178" name="k_mob" public_interface="out" units="per_minute"/>
</component>
<connection>
<map_components component_1="environment" component_2="x_1"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="x_2"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="x_3"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="x_4"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="x_5"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="environment" component_2="x_6"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="x_1"/>
<map_variables variable_1="k_t" variable_2="k_t"/>
<map_variables variable_1="k_on" variable_2="k_on"/>
<map_variables variable_1="k_off" variable_2="k_off"/>
<map_variables variable_1="k_ex" variable_2="k_ex"/>
<map_variables variable_1="B_max" variable_2="B_max"/>
<map_variables variable_1="k_mob" variable_2="k_mob"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="x_2"/>
<map_variables variable_1="k_on" variable_2="k_on"/>
<map_variables variable_1="k_off" variable_2="k_off"/>
<map_variables variable_1="k_ex" variable_2="k_ex"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="x_3"/>
<map_variables variable_1="k_on" variable_2="k_on"/>
<map_variables variable_1="k_off" variable_2="k_off"/>
<map_variables variable_1="k_e" variable_2="k_e"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="x_4"/>
<map_variables variable_1="k_ex" variable_2="k_ex"/>
<map_variables variable_1="k_di" variable_2="k_di"/>
<map_variables variable_1="k_de" variable_2="k_de"/>
<map_variables variable_1="k_e" variable_2="k_e"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="x_5"/>
<map_variables variable_1="k_di" variable_2="k_di"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="x_6"/>
<map_variables variable_1="k_de" variable_2="k_de"/>
</connection>
<connection>
<map_components component_1="x_1" component_2="x_2"/>
<map_variables variable_1="x_1" variable_2="x_1"/>
<map_variables variable_1="x_2" variable_2="x_2"/>
</connection>
<connection>
<map_components component_1="x_1" component_2="x_3"/>
<map_variables variable_1="x_1" variable_2="x_1"/>
<map_variables variable_1="x_3" variable_2="x_3"/>
</connection>
<connection>
<map_components component_1="x_1" component_2="x_4"/>
<map_variables variable_1="x_4" variable_2="x_4"/>
</connection>
<connection>
<map_components component_1="x_2" component_2="x_3"/>
<map_variables variable_1="x_2" variable_2="x_2"/>
<map_variables variable_1="x_3" variable_2="x_3"/>
</connection>
<connection>
<map_components component_1="x_2" component_2="x_4"/>
<map_variables variable_1="x_4" variable_2="x_4"/>
</connection>
<connection>
<map_components component_1="x_3" component_2="x_4"/>
<map_variables variable_1="x_3" variable_2="x_3"/>
</connection>
<connection>
<map_components component_1="x_5" component_2="x_4"/>
<map_variables variable_1="x_4" variable_2="x_4"/>
</connection>
<connection>
<map_components component_1="x_6" component_2="x_4"/>
<map_variables variable_1="x_4" variable_2="x_4"/>
</connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:nodeID="n1"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n2"/></boundIntervals></rdf:Description><rdf:Description rdf:about="#becker_2010_b"><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n1"/></simulation></rdf:Description><rdf:Description rdf:nodeID="n3"><endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">300</endingValue></rdf:Description><rdf:Description rdf:nodeID="n2"><rdf:first><rdf:Description rdf:nodeID="n3"/></rdf:first><rdf:rest><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/></rdf:rest></rdf:Description></rdf:RDF></model>
