- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2010-08-07 05:14:35+12:00
- Desc:
- Removed links from citation.
- Permanent Source URI:
- http://models.cellml.org/workspace/terkildsen_niederer_crampin_hunter_smith_2008/rawfile/939926e1f73f15de011665be883732d4d9871886/Niederer_et_al_2006.cellml
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<variable name="alpha_2" units="per_ms" initial_value="0.13"/>
<variable name="alpha_3" units="per_ms" initial_value="0.625"/>
<variable name="T_0" units="N_per_mm2" public_interface="in"/>
<variable name="Tension" units="N_per_mm2" 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>
<ci>Q_3</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>dExtensionRatiodt</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>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_2</ci>
<ci>Q_2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Q_3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>A_3</ci>
<ci>dExtensionRatiodt</ci>
</apply>
<apply>
<times/>
<ci>alpha_3</ci>
<ci>Q_3</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="Myofilaments">
<component_ref component="thinfilaments">
<component_ref component="tropomyosin"/>
<component_ref component="troponin"/>
</component_ref>
<component_ref component="filament_overlap"/>
<component_ref component="Cross_Bridges"/>
<component_ref component="isometric_tension"/>
<component_ref component="length_independent_tension"/>
</component_ref>
</group>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Myofilaments" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Cross_Bridges" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="troponin" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="Ca_TRPN_Max" variable_2="Ca_TRPN_Max"/>
<map_variables variable_1="TRPN" variable_2="TRPN"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="J_TRPN" variable_2="J_TRPN"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="Ca_b" variable_2="Ca_b"/>
</connection>
<connection>
<map_components component_1="length_independent_tension" component_2="tropomyosin"/>
<map_variables variable_1="z" variable_2="z"/>
<map_variables variable_1="z_max" variable_2="z_max"/>
</connection>
<connection>
<map_components component_1="troponin" component_2="Cross_Bridges"/>
<map_variables variable_1="Tension" variable_2="Tension"/>
</connection>
<connection>
<map_components component_1="troponin" component_2="length_independent_tension"/>
<map_variables variable_1="T_ref" variable_2="T_ref"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="troponin"/>
<map_variables variable_1="k_on" variable_2="k_on"/>
<map_variables variable_1="k_Ref_off" variable_2="k_Ref_off"/>
<map_variables variable_1="gamma_trpn" variable_2="gamma_trpn"/>
<map_variables variable_1="Ca_TRPN_Max" variable_2="Ca_TRPN_Max"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="filament_overlap"/>
<map_variables variable_1="beta_0" variable_2="beta_0"/>
</connection>
<connection>
<map_components component_1="tropomyosin" component_2="Myofilaments"/>
<map_variables variable_1="lambda" variable_2="lambda"/>
</connection>
<connection>
<map_components component_1="filament_overlap" component_2="Myofilaments"/>
<map_variables variable_1="lambda" variable_2="lambda"/>
</connection>
<connection>
<map_components component_1="isometric_tension" component_2="length_independent_tension"/>
<map_variables variable_1="T_Base" variable_2="T_Base"/>
</connection>
<connection>
<map_components component_1="isometric_tension" component_2="filament_overlap"/>
<map_variables variable_1="overlap" variable_2="overlap"/>
</connection>
<connection>
<map_components component_1="Cross_Bridges" component_2="Myofilaments"/>
<map_variables variable_1="dExtensionRatiodt" variable_2="dExtensionRatiodt"/>
</connection>
<connection>
<map_components component_1="Cross_Bridges" component_2="isometric_tension"/>
<map_variables variable_1="T_0" variable_2="T_0"/>
</connection>
</model>
