- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-02-17 10:12:51+13:00
- Desc:
- Init
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/822/rawfile/a803f7a85fbb0a4f149ed6b3efd01b228e393afe/CMDN_buffer.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_CMDN_only" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
<units name="J_per_K_per_mol">
<unit units="joule"/>
<unit exponent="-1" units="kelvin"/>
<unit exponent="-1" units="mole"/>
</units>
<units name="C_per_mol">
<unit units="coulomb"/>
<unit exponent="-1" units="mole"/>
</units>
<units name="fF">
<unit prefix="femto" units="farad"/>
</units>
<units name="fmol">
<unit prefix="femto" units="mole"/>
</units>
<units name="per_fmol">
<unit exponent="-1" units="fmol"/>
</units>
<units name="fmol_per_sec">
<unit units="fmol"/>
<unit exponent="-1" units="second"/>
</units>
<units name="fC">
<unit prefix="femto" units="coulomb"/>
</units>
<units name="fA">
<unit prefix="femto" units="ampere"/>
</units>
<units name="J_per_mol">
<unit units="joule"/>
<unit exponent="-1" units="mole"/>
</units>
<component name="environment">
<variable initial_value="0" name="t" public_interface="out" units="second"/>
<variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
<variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
<variable initial_value="0.00456" name="x_Cai_init" units="fmol"/>
<variable initial_value="1.8088" name="x_CMDN_init" units="fmol"/>
<variable initial_value="0.0912" name="x_CMDNCa_init" units="fmol"/>
<variable name="x_CMDN_mCMDN" public_interface="in" units="fmol"/>
<variable name="x_CMDN" public_interface="out" units="fmol"/>
<variable name="x_CMDNCa_mCMDN" public_interface="in" units="fmol"/>
<variable name="x_CMDNCa" public_interface="out" units="fmol"/>
<variable name="x_Cai_mCMDN" public_interface="in" units="fmol"/>
<variable name="x_Cai" public_interface="out" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>x_CMDN</ci>
<apply>
<plus/>
<ci>x_CMDN_init</ci>
<ci>x_CMDN_mCMDN</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_CMDNCa</ci>
<apply>
<plus/>
<ci>x_CMDNCa_init</ci>
<ci>x_CMDNCa_mCMDN</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Cai</ci>
<apply>
<plus/>
<ci>x_Cai_init</ci>
<ci>x_Cai_mCMDN</ci>
</apply>
</apply>
</math>
</component>
<component name="CMDN_parameters">
<variable initial_value="22.0647" name="K_CMDN" public_interface="out" units="per_fmol"/>
<variable initial_value="0.044337" name="K_CMDNCa" public_interface="out" units="per_fmol"/>
<variable initial_value="0.022218" name="K_Cai" public_interface="out" units="per_fmol"/>
<variable initial_value="1412.6324" name="kappa_b2" public_interface="out" units="fmol_per_sec"/>
</component>
<component name="CMDN_buffer">
<variable name="t" public_interface="in" units="second"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="C_m" public_interface="in" units="fF"/>
<variable name="K_CMDN" public_interface="in" units="per_fmol"/>
<variable name="K_CMDNCa" public_interface="in" units="per_fmol"/>
<variable name="K_Cai" public_interface="in" units="per_fmol"/>
<variable name="kappa_b2" public_interface="in" units="fmol_per_sec"/>
<variable name="x_CMDN_global" public_interface="in" units="fmol"/>
<variable name="x_CMDNCa_global" public_interface="in" units="fmol"/>
<variable name="x_Cai_global" public_interface="in" units="fmol"/>
<variable initial_value="0" name="x_CMDN" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_CMDNCa" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_Cai" public_interface="out" units="fmol"/>
<variable name="mu_CMDN" units="J_per_mol"/>
<variable name="mu_CMDNCa" units="J_per_mol"/>
<variable name="mu_Cai" units="J_per_mol"/>
<variable name="v_CMDN" units="fmol_per_sec"/>
<variable name="v_CMDNCa" units="fmol_per_sec"/>
<variable name="v_Cai" units="fmol_per_sec"/>
<variable name="Af_b2" units="J_per_mol"/>
<variable name="Ar_b2" units="J_per_mol"/>
<variable name="v_b2" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_CMDN</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_CMDN</ci>
<ci>x_CMDN_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_CMDNCa</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_CMDNCa</ci>
<ci>x_CMDNCa_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Cai</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Cai</ci>
<ci>x_Cai_global</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_b2</ci>
<apply>
<times/>
<ci>kappa_b2</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_b2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_b2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_b2</ci>
<apply>
<plus/>
<ci>mu_Cai</ci>
<ci>mu_CMDN</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_b2</ci>
<ci>mu_CMDNCa</ci>
</apply>
<apply>
<eq/>
<ci>v_CMDN</ci>
<apply>
<minus/>
<ci>v_b2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_CMDNCa</ci>
<ci>v_b2</ci>
</apply>
<apply>
<eq/>
<ci>v_Cai</ci>
<apply>
<minus/>
<ci>v_b2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_CMDN</ci>
</apply>
<ci>v_CMDN</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_CMDNCa</ci>
</apply>
<ci>v_CMDNCa</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_Cai</ci>
</apply>
<ci>v_Cai</ci>
</apply>
</math>
</component>
<connection>
<map_components component_1="CMDN_buffer" component_2="CMDN_parameters"/>
<map_variables variable_1="K_CMDN" variable_2="K_CMDN"/>
<map_variables variable_1="K_CMDNCa" variable_2="K_CMDNCa"/>
<map_variables variable_1="K_Cai" variable_2="K_Cai"/>
<map_variables variable_1="kappa_b2" variable_2="kappa_b2"/>
</connection>
<connection>
<map_components component_1="CMDN_buffer" component_2="environment"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="C_m" variable_2="C_m"/>
<map_variables variable_1="x_CMDN_global" variable_2="x_CMDN"/>
<map_variables variable_1="x_CMDN" variable_2="x_CMDN_mCMDN"/>
<map_variables variable_1="x_CMDNCa_global" variable_2="x_CMDNCa"/>
<map_variables variable_1="x_CMDNCa" variable_2="x_CMDNCa_mCMDN"/>
<map_variables variable_1="x_Cai_global" variable_2="x_Cai"/>
<map_variables variable_1="x_Cai" variable_2="x_Cai_mCMDN"/>
</connection>
</model>
