Location: Model of excitation-contraction in uterine myocytes from a pregnant rat @ 674128382997 / Components / INaCa_0.cellml
- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-10-19 10:24:37+13:00
- Desc:
- Add readme to link the documentation on overleaf.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/701/rawfile/6741283829975cd4f084159e7734dcbece29f7b1/Components/INaCa_0.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="INaCa" 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="../cellLib/Components/units.cellml">
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="pA" units_ref="pA"/>
<units name="mV" units_ref="mV"/>
<units name="mM" units_ref="mM"/>
<units name="mM4" units_ref="mM4"/>
<units name="mM_per_ms" units_ref="mM_per_ms"/>
<units name="mF_per_cmsq" units_ref="mF_per_cmsq"/>
<units name="cmsq" units_ref="cmsq"/>
<units name="cm3" units_ref="cm3"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="uJ_per_K_mmol" units_ref="uJ_per_K_mmol"/>
</import>
<import xlink:href="../cellLib/Components/Hillfcn.cellml">
<component component_ref="Hillfcn" name="Allo"/>
</import>
<component name="INaCa">
<variable name="I_NaCa" public_interface="out" units="pA_per_pF"/>
<variable name="V" public_interface="in" units="mV"/>
<variable name="R" public_interface="in" units="uJ_per_K_mmol"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="Cm" public_interface="in" units="mF_per_cmsq"/>
<variable name="Ac" public_interface="in" units="cmsq"/>
<variable name="z_Ca" public_interface="in" units="dimensionless"/>
<variable name="Vc" public_interface="in" units="cm3"/>
<variable name="k_sat" public_interface="in" units="dimensionless"/>
<variable name="gamma" public_interface="in" units="dimensionless"/>
<variable name="J_NaCamax" public_interface="in" units="mM_per_ms"/>
<variable name="J_NaCa" units="mM_per_ms"/>
<variable name="K_mNai" public_interface="in" units="mM"/>
<variable name="K_mCai" public_interface="in" units="mM"/>
<variable name="K_mNao" public_interface="in" units="mM"/>
<variable name="K_mCao" public_interface="in" units="mM"/>
<variable name="Nai" public_interface="in" units="mM"/>
<variable name="Nao" public_interface="in" units="mM"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="Cao" public_interface="in" units="mM"/>
<variable name="K_mAllo" public_interface="in" units="mM"/>
<variable name="n_Allo" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="x_Allo" private_interface="out" units="dimensionless"/>
<variable name="Allo" private_interface="in" units="dimensionless"/>
<variable name="DeltaE" units="mM_per_ms"/>
<variable name="E_1" units="mM4"/>
<variable name="E_2" units="dimensionless"/>
<variable name="E_3" units="mM4"/>
<variable name="E_4" units="mM4"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_NaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_NaCa</ci>
<ci>z_Ca</ci>
<ci>F</ci>
<ci>Vc</ci>
</apply>
<apply>
<times/>
<ci>Cm</ci>
<ci>Ac</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Allo</ci>
<apply>
<divide/>
<ci>K_mAllo</ci>
<ci>Cai</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NaCa</ci>
<apply>
<times/>
<ci>Allo</ci>
<ci>DeltaE</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>DeltaE</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>J_NaCamax</ci>
<ci>E_1</ci>
</apply>
<apply>
<times/>
<ci>E_2</ci>
<apply>
<plus/>
<ci>E_3</ci>
<ci>E_4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_1</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cao</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>gamma</ci>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_2</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>k_sat</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_3</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>K_mCao</ci>
<apply>
<power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>K_mNao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>K_mNai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cao</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Cai</ci>
<ci>K_mCai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_4</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>Cao</ci>
<apply>
<power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>K_mCai</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Nai</ci>
<ci>K_mNai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<!-- Tong et al. 2011
E_4 = Cao*pow(Nai, 3{dimensionless})+pow(Nao, 3{dimensionless})*Cai+pow(Nao, 3{dimensionless})*K_mCai*(1{dimensionless}+pow(Nai, 3{dimensionless})/(K_mCai*1{mM}*1{mM}));//cpp-->
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="INaCa">
<component_ref component="Allo"/>
</component_ref>
</group>
<connection>
<map_components component_1="INaCa" component_2="Allo"/>
<map_variables variable_1="x_Allo" variable_2="x"/>
<map_variables variable_1="n_Allo" variable_2="n"/>
<map_variables variable_1="Allo" variable_2="H"/>
</connection>
</model>