- Author:
- Dougal Cowan <devnull@localhost>
- Date:
- 2012-02-15 11:24:13+13:00
- Desc:
- added png file referenced in documentation
- Permanent Source URI:
- http://models.cellml.org/w/dcowan/Land_et_al_2012/rawfile/b8654f8dd2c762fd0c6d57d7fe71ebb32cde7f8f/Land_et_al_2012.cellml
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<!--
This CellML file was generated on 13/01/2012 at 22:32:55 using:
COR (0.9.31.1409)
Copyright 2002-2012 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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<ci>lambda</ci>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>lambda_s</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">0.87</cn>
<apply>
<lt/>
<ci>lambda_m</ci>
<cn cellml:units="dimensionless">0.87</cn>
</apply>
</piece>
<otherwise>
<ci>lambda_m</ci>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>overlap</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>beta_0</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>lambda_m</ci>
<ci>lambda_s</ci>
</apply>
<cn cellml:units="dimensionless">1.87</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="isometric_tension">
<variable name="T_ref" units="kPa" initial_value="120"/>
<variable name="T_0" units="kPa" public_interface="out"/>
<variable name="xb" units="dimensionless" public_interface="in"/>
<variable name="overlap" units="dimensionless" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>T_0</ci>
<apply>
<times/>
<ci>T_ref</ci>
<ci>xb</ci>
<ci>overlap</ci>
</apply>
</apply>
</math>
</component>
<component xmlns="http://www.cellml.org/cellml/1.0#" name="dynamic_stiffness">
<variable name="time" units="ms" public_interface="in"/>
<variable name="dlambdadt" units="per_ms" public_interface="in"/>
<variable name="Q" units="dimensionless"/>
<variable name="a" units="dimensionless" initial_value="0.35"/>
<variable name="Q_1" units="dimensionless" initial_value="0"/>
<variable name="Q_2" units="dimensionless" initial_value="0"/>
<variable name="A_1" units="dimensionless" initial_value="-29"/>
<variable name="A_2" units="dimensionless" initial_value="116"/>
<variable name="alpha_1" units="per_ms" initial_value="0.1"/>
<variable name="alpha_2" units="per_ms" initial_value="0.5"/>
<variable name="T_0" units="kPa" public_interface="in"/>
<variable name="Tension" units="kPa" public_interface="out"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Q</ci>
<apply>
<plus/>
<ci>Q_1</ci>
<ci>Q_2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Tension</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<ci>T_0</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>a</ci>
<ci>Q</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Q</ci>
</apply>
</apply>
<apply>
<lt/>
<ci>Q</ci>
<cn cellml:units="dimensionless">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<ci>T_0</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<apply>
<plus/>
<ci>a</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>Q</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Q</ci>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_1</ci>
<ci>dlambdadt</ci>
</apply>
<apply>
<times/>
<ci>alpha_1</ci>
<ci>Q_1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_2</ci>
<ci>dlambdadt</ci>
</apply>
<apply>
<times/>
<ci>alpha_2</ci>
<ci>Q_2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="intracellular_ion_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="troponin" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="crossbridges" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="dynamic_stiffness" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="troponin" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="crossbridges" component_2="troponin"/>
<map_variables variable_1="TRPN" variable_2="TRPN"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="isometric_tension" component_2="crossbridges"/>
<map_variables variable_1="xb" variable_2="xb"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="troponin" component_2="filament_overlap"/>
<map_variables variable_1="lambda_m" variable_2="lambda_m"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="filament_overlap" component_2="Myofilaments"/>
<map_variables variable_1="lambda" variable_2="lambda"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="isometric_tension" component_2="filament_overlap"/>
<map_variables variable_1="overlap" variable_2="overlap"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="dynamic_stiffness" component_2="Myofilaments"/>
<map_variables variable_1="dlambdadt" variable_2="dlambdadt"/>
</connection>
<connection xmlns="http://www.cellml.org/cellml/1.0#">
<map_components component_1="dynamic_stiffness" component_2="isometric_tension"/>
<map_variables variable_1="T_0" variable_2="T_0"/>
</connection>
</model>
