- Author:
- aram148 <42922407+aram148@users.noreply.github.com>
- Date:
- 2022-07-22 15:47:05+12:00
- Desc:
- Added documentation for VSM model
- Permanent Source URI:
- http://models.cellml.org/workspace/6b0/rawfile/a8a92308e217ac5626809237dd90a31240b22834/USMC/J_Ca.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="J_Ca" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="units.cellml">
<units name="pA" units_ref="pA"/>
<units name="mV" units_ref="mV"/>
<units name="mM" units_ref="mM"/>
<units name="nS" units_ref="nS"/>
<units name="mM_per_s" units_ref="mM_per_s"/>
<units name="C_per_mmol" units_ref="C_per_mmol"/>
<units name="fm3" units_ref="fm3"/>
<units name="mM_per_s_mV" units_ref="mM_per_s_mV"/>
</import>
<import xlink:href="Ionic_currents.cellml">
<component component_ref="Ionic_currents" name="Ionic_currents"/>
</import>
<component name="J_VOCC">
<variable name="F" private_interface="out" public_interface="in" units="C_per_mmol"/>
<variable name="V_cell" public_interface="in" units="fm3"/>
<variable name="V_Cahalf" public_interface="in" units="mV"/>
<variable name="K_Cahalf" public_interface="in" units="mV"/>
<variable name="g_mCa" private_interface="out" public_interface="in" units="nS"/>
<variable name="E_Ca" private_interface="out" public_interface="in" units="mV"/>
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="rho_vCa" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="I_VOCC" private_interface="in" units="pA"/>
<variable name="J_VOCC" public_interface="out" units="mM_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rho_vCa</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V_Cahalf</ci>
<ci>V</ci>
</apply>
<ci>K_Cahalf</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_VOCC</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>I_VOCC</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_cell</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_CaPump">
<variable name="V_pmax" public_interface="in" units="mM_per_s_mV"/>
<variable name="n" public_interface="in" units="dimensionless"/>
<variable name="K_ph" public_interface="in" units="mM"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="J_CaPump" public_interface="out" units="mM_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_CaPump</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>V_pmax</ci>
</apply>
<apply>
<power/>
<ci>Cai</ci>
<ci>n</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_ph</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>Cai</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_NaCa">
<variable name="K_NaCa" public_interface="in" units="mM"/>
<variable name="G_NaCa" public_interface="in" units="mM_per_s_mV"/>
<variable name="E_Ca" public_interface="in" units="mV"/>
<variable name="E_Na" public_interface="in" units="mV"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="V" public_interface="in" units="mV"/>
<variable name="V_mNaCa" units="mV"/>
<variable name="J_NaCa" public_interface="out" units="mM_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_mNaCa</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>E_Na</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NaCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>G_NaCa</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>K_NaCa</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>V_mNaCa</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Cai">
<variable name="time" public_interface="in" units="second"/>
<variable name="J_VOCC" public_interface="in" units="mM_per_s"/>
<variable name="J_CaPump" public_interface="in" units="mM_per_s"/>
<variable name="J_NaCa" public_interface="in" units="mM_per_s"/>
<variable name="inhPump" public_interface="in" units="dimensionless"/>
<variable name="Cai_init" public_interface="in" units="mM"/>
<variable initial_value="Cai_init" name="Cai" public_interface="out" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>J_VOCC</ci>
<apply>
<times/>
<ci>inhPump</ci>
<ci>J_CaPump</ci>
</apply>
<ci>J_NaCa</ci>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="J_VOCC">
<component_ref component="Ionic_currents"/>
</component_ref>
</group>
<connection>
<map_components component_1="J_VOCC" component_2="Ionic_currents"/>
<map_variables variable_1="I_VOCC" variable_2="I"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="E_Ca" variable_2="E"/>
<map_variables variable_1="g_mCa" variable_2="g_max"/>
<map_variables variable_1="rho_vCa" variable_2="PO"/>
</connection>
</model>
