- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2024-11-12 14:16:20+13:00
- Desc:
- init
- Permanent Source URI:
- http://models.cellml.org/workspace/c17/rawfile/d44e06713a1dab8aa3c903ad6a6582e69adab1e1/Current_Ica.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Current_eq" 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="unit.cellml">
<units name="ms" units_ref="ms"/>
<units name="per_ms" units_ref="per_ms"/>
<units name="mV" units_ref="mV"/>
<units name="mM" units_ref="mM"/>
<units name="mM3" units_ref="mM3"/>
<units name="J_per_mol_per_kelvin" units_ref="J_per_mol_per_kelvin"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="nS_per_pF" units_ref="nS_per_pF"/>
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="mV_ms" units_ref="mV_ms"/>
<units name="mM_per_ms" units_ref="mM_per_ms"/>
<units name="per_mM_per_ms" units_ref="per_mM_per_ms"/>
<units name="per_mM2_per_ms" units_ref="per_mM2_per_ms"/>
</import>
<import xlink:href="parameter.cellml">
<component component_ref="parameter" name="parameter"/>
</import>
<import xlink:href="parameter_Ica.cellml">
<component component_ref="parameter_Ica" name="parameter_Ica"/>
</import>
<import xlink:href="gating_Ica.cellml">
<component component_ref="gating_Ica" name="gating_Ica"/>
</import>
<component name="Current_IcaL">
<variable name="v" private_interface="in" public_interface="out" units="mV"/>
<variable name="x_ca_inf_act" public_interface="in" units="dimensionless"/>
<variable name="x_ca_inf_inact" public_interface="in" units="dimensionless"/>
<variable name="x_fca_inf_inact" public_interface="in" units="dimensionless"/>
<variable initial_value="0" name="X_ca_act" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="X_ca_inact" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="X_fca_inact" public_interface="out" units="dimensionless"/>
<!-- var dX_ca_act: dimensionless {pub: out};
var dX_ca_inact: dimensionless {pub: out};
var dX_fca_inact: dimensionless {pub: out};-->
<variable name="tau_fca" private_interface="in" public_interface="out" units="dimensionless"/>
<!-- var Ki: dimensionless {pub: in};-->
<variable name="R" public_interface="in" units="J_per_mol_per_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="p_CaL" public_interface="out" units="nS_per_pF"/>
<!-- var i_to: dimensionless {pub: out};-->
<variable name="d_0" public_interface="in" units="nS_per_pF"/>
<variable name="d_1" public_interface="in" units="dimensionless"/>
<variable name="d_2" public_interface="in" units="dimensionless"/>
<variable name="d_5" public_interface="in" units="dimensionless"/>
<variable name="d_6" public_interface="in" units="dimensionless"/>
<variable name="f_1" public_interface="in" units="dimensionless"/>
<variable name="f_2" public_interface="in" units="dimensionless"/>
<variable name="f_5" public_interface="in" units="dimensionless"/>
<variable name="f_6" public_interface="in" units="dimensionless"/>
<variable name="tau_d_const" public_interface="in" units="dimensionless"/>
<variable name="tau_f_const" public_interface="in" units="dimensionless"/>
<variable initial_value="5.4e-4" name="p_CaL_shannonCa" public_interface="out" units="nS_per_pF"/>
<variable initial_value="1.5e-8" name="p_CaL_shannonNa" public_interface="out" units="nS_per_pF"/>
<variable initial_value="2.7e-7" name="p_CaL_shannonK" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_shannonTot" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_shannonCap" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_shannonNap" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_shannonKp" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_Ca" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_Na" public_interface="out" units="nS_per_pF"/>
<variable name="p_CaL_K" public_interface="out" units="nS_per_pF"/>
<variable initial_value="0.00022" name="ca_i" public_interface="out" units="mM"/>
<variable name="ibarca" public_interface="out" units="pA_per_pF"/>
<variable name="i_CaL_Ca" public_interface="out" units="pA_per_pF"/>
<variable initial_value="7.169281" name="Na_i" public_interface="out" units="mM"/>
<variable name="ibarna" public_interface="out" units="pA_per_pF"/>
<variable name="i_CaL_Na" public_interface="out" units="pA_per_pF"/>
<variable initial_value="150" name="Ki" public_interface="out" units="mM"/>
<variable name="ibark" public_interface="out" units="pA_per_pF"/>
<variable name="i_CaL_K" public_interface="out" units="pA_per_pF"/>
<variable name="i_CaL" public_interface="out" units="pA_per_pF"/>
<variable name="k_fca" public_interface="out" units="dimensionless"/>
<variable name="Cao" private_interface="in" public_interface="out" units="mM"/>
<variable name="Nao" private_interface="in" public_interface="out" units="mM"/>
<variable name="Ko" private_interface="in" public_interface="out" units="mM"/>
<variable initial_value="0.3350868" name="ca_SR" public_interface="out" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>k_fca</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">0</cn>
<apply>
<and/>
<apply>
<gt/>
<ci>x_fca_inf_inact</ci>
<ci>X_fca_inact</ci>
</apply>
<apply>
<gt/>
<ci>v</ci>
<apply>
<minus/>
<cn cellml:units="mv">60</cn>
</apply>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
</math>
<variable name="tau_ca_act" public_interface="in" units="ms"/>
<variable name="tau_ca_inact" public_interface="in" units="ms"/>
<variable initial_value="1" name="t" public_interface="out" units="ms"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>v</ci>
</apply>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>ca_SR</ci>
</apply>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>ca_i</ci>
</apply>
<cn cellml:units="dimensionless">0</cn>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>X_ca_act</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>x_ca_inf_act</ci>
<ci>X_ca_act</ci>
</apply>
<ci>tau_ca_act</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>X_ca_inact</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>x_ca_inf_inact</ci>
<ci>X_ca_inact</ci>
</apply>
<ci>tau_ca_inact</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>X_fca_inact</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>k_fca</ci>
<apply>
<minus/>
<ci>x_fca_inf_inact</ci>
<ci>X_fca_inact</ci>
</apply>
</apply>
<ci>tau_fca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL</ci>
<ci>d_0</ci>
</apply>
<apply>
<eq/>
<ci>p_CaL_shannonTot</ci>
<apply>
<plus/>
<ci>p_CaL_shannonCa</ci>
<ci>p_CaL_shannonNa</ci>
<ci>p_CaL_shannonK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL_shannonCap</ci>
<apply>
<divide/>
<ci>p_CaL_shannonCa</ci>
<ci>p_CaL_shannonTot</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL_shannonNap</ci>
<apply>
<divide/>
<ci>p_CaL_shannonNa</ci>
<ci>p_CaL_shannonTot</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL_shannonKp</ci>
<apply>
<divide/>
<ci>p_CaL_shannonK</ci>
<ci>p_CaL_shannonTot</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL_Ca</ci>
<apply>
<times/>
<ci>p_CaL_shannonCap</ci>
<ci>p_CaL</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL_Na</ci>
<apply>
<times/>
<ci>p_CaL_shannonNap</ci>
<ci>p_CaL</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>p_CaL_K</ci>
<apply>
<times/>
<ci>p_CaL_shannonKp</ci>
<ci>p_CaL</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>ibarca</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>p_CaL_Ca</ci>
<cn cellml:units="dimensionless">4.0</cn>
<ci>v</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.341</cn>
<ci>ca_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>v</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.341</cn>
<ci>Cao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>v</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaL_Ca</ci>
<apply>
<times/>
<ci>ibarca</ci>
<ci>X_ca_act</ci>
<ci>X_ca_inact</ci>
<ci>X_fca_inact</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>ibarna</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>p_CaL_Na</ci>
<ci>v</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.75</cn>
<ci>Na_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>v</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.75</cn>
<ci>Nao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>v</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaL_Na</ci>
<apply>
<times/>
<ci>ibarna</ci>
<ci>X_ca_act</ci>
<ci>X_ca_inact</ci>
<ci>X_fca_inact</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>ibark</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>p_CaL_K</ci>
<ci>v</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.75</cn>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>v</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.75</cn>
<ci>Ko</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2.0</cn>
<ci>v</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1.0</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaL_K</ci>
<apply>
<times/>
<ci>ibark</ci>
<ci>X_ca_act</ci>
<ci>X_ca_inact</ci>
<ci>X_fca_inact</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaL</ci>
<apply>
<plus/>
<ci>i_CaL_Ca</ci>
<ci>i_CaL_Na</ci>
<ci>i_CaL_K</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="Current_IcaL" component_2="gating_Ica"/>
<map_variables variable_1="x_ca_inf_act" variable_2="x_ca_inf_act"/>
<map_variables variable_1="x_ca_inf_inact" variable_2="x_ca_inf_inact"/>
<map_variables variable_1="x_fca_inf_inact" variable_2="x_fca_inf_inact"/>
<map_variables variable_1="tau_ca_act" variable_2="tau_ca_act"/>
<map_variables variable_1="tau_ca_inact" variable_2="tau_ca_inact"/>
<map_variables variable_1="tau_fca" variable_2="tau_fca"/>
<map_variables variable_1="ca_i" variable_2="ca_i"/>
</connection>
<connection>
<map_components component_1="Current_IcaL" component_2="parameter_Ica"/>
<map_variables variable_1="d_0" variable_2="d_0"/>
<map_variables variable_1="d_1" variable_2="d_1"/>
<map_variables variable_1="d_2" variable_2="d_2"/>
<map_variables variable_1="d_5" variable_2="d_5"/>
<map_variables variable_1="d_6" variable_2="d_6"/>
<map_variables variable_1="f_1" variable_2="f_1"/>
<map_variables variable_1="f_2" variable_2="f_2"/>
<map_variables variable_1="f_5" variable_2="f_5"/>
<map_variables variable_1="f_6" variable_2="f_6"/>
<map_variables variable_1="tau_d_const" variable_2="tau_d_const"/>
<map_variables variable_1="tau_f_const" variable_2="tau_f_const"/>
</connection>
<connection>
<map_components component_1="Current_IcaL" component_2="parameter"/>
<map_variables variable_1="v" variable_2="v"/>
<map_variables variable_1="Ko" variable_2="Ko"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="gating_Ica" component_2="parameter"/>
<map_variables variable_1="v" variable_2="v"/>
</connection>
<connection>
<map_components component_1="parameter_Ica" component_2="gating_Ica"/>
<map_variables variable_1="d_1" variable_2="d_1"/>
<map_variables variable_1="d_2" variable_2="d_2"/>
<map_variables variable_1="d_5" variable_2="d_5"/>
<map_variables variable_1="d_6" variable_2="d_6"/>
<map_variables variable_1="f_1" variable_2="f_1"/>
<map_variables variable_1="f_2" variable_2="f_2"/>
<map_variables variable_1="f_5" variable_2="f_5"/>
<map_variables variable_1="f_6" variable_2="f_6"/>
<map_variables variable_1="tau_d_const" variable_2="tau_d_const"/>
<map_variables variable_1="tau_f_const" variable_2="tau_f_const"/>
</connection>
</model>
