- Author:
- Leyla <lnor300>
- Date:
- 2022-09-28 16:08:33+13:00
- Desc:
- ..
- Permanent Source URI:
- https://models.cellml.org/workspace/919/rawfile/3affededfd25a44594b79661e39fb68801515613/L_type_Ca/ICa_L.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="ICa_L" 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="../Common/units.cellml">
<units name="current_units" units_ref="current_units"/>
<units name="voltage_units" units_ref="voltage_units"/>
<units name="time_units" units_ref="time_units"/>
<units name="conductance_units" units_ref="conductance_units"/>
<units name="millimolar" units_ref="millimolar"/>
</import>
<component name="d_Ltype_SM">
<variable name="Vm_SM" public_interface="in" units="voltage_units"/>
<variable name="d_inf_Ltype_SM" units="dimensionless"/>
<variable name="tau_d_Ltype_SM" units="time_units"/>
<variable initial_value="0.0" name="d_Ltype_SM" public_interface="out" units="dimensionless"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="T_correction_Ca" private_interface="none" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>d_inf_Ltype_SM</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Vm_SM</ci>
<cn cellml:units="voltage_units">17</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="voltage_units">4.3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_Ltype_SM</ci>
<apply>
<times/>
<ci>T_correction_Ca</ci>
<cn cellml:units="time_units">0.47</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d_Ltype_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>d_inf_Ltype_SM</ci>
<ci>d_Ltype_SM</ci>
</apply>
<ci>tau_d_Ltype_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="f_Ltype_SM">
<variable name="Vm_SM" public_interface="in" units="voltage_units"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="f_inf_Ltype_SM" units="dimensionless"/>
<variable name="tau_f_Ltype_SM" units="time_units"/>
<variable initial_value="0.95" name="f_Ltype_SM" public_interface="out" units="dimensionless"/>
<variable name="T_correction_Ca" private_interface="none" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_inf_Ltype_SM</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Vm_SM</ci>
<cn cellml:units="voltage_units">43</cn>
</apply>
<cn cellml:units="voltage_units">8.9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_Ltype_SM</ci>
<apply>
<times/>
<ci>T_correction_Ca</ci>
<cn cellml:units="time_units">86</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_Ltype_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_inf_Ltype_SM</ci>
<ci>f_Ltype_SM</ci>
</apply>
<ci>tau_f_Ltype_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="f_ca_Ltype_SM">
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="f_ca_inf_Ltype_SM" units="dimensionless"/>
<variable name="tau_f_ca_Ltype_SM" units="time_units"/>
<variable initial_value="1.0" name="f_ca_Ltype_SM" public_interface="out" units="dimensionless"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="T_correction_Ca" private_interface="none" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_ca_inf_Ltype_SM</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>Ca_i</ci>
<cn cellml:units="millimolar">0.00008999</cn>
</apply>
<cn cellml:units="millimolar">0.000214</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millimolar">0.0000131</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_ca_Ltype_SM</ci>
<apply>
<times/>
<ci>T_correction_Ca</ci>
<cn cellml:units="time_units">2</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_ca_Ltype_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_ca_inf_Ltype_SM</ci>
<ci>f_ca_Ltype_SM</ci>
</apply>
<ci>tau_f_ca_Ltype_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="I_Ltype_SM">
<variable name="I_Ltype_SM" private_interface="out" public_interface="out" units="current_units"/>
<variable name="E_Ca" private_interface="out" public_interface="out" units="voltage_units"/>
<variable initial_value="65" name="G_max_Ltype" units="conductance_units"/>
<variable name="Vm_SM" private_interface="out" public_interface="in" units="voltage_units"/>
<variable name="time" private_interface="out" public_interface="in" units="time_units"/>
<variable name="Ca_i" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="f_Ltype_SM" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="d_Ltype_SM" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="f_ca_Ltype_SM" private_interface="in" units="dimensionless"/>
<variable name="RToF" private_interface="out" public_interface="in" units="voltage_units"/>
<variable name="Ca_o" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="T_correction_Ca" private_interface="out" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>RToF</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ca_o</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_Ltype_SM</ci>
<apply>
<times/>
<ci>G_max_Ltype</ci>
<ci>f_Ltype_SM</ci>
<ci>d_Ltype_SM</ci>
<ci>f_ca_Ltype_SM</ci>
<apply>
<minus/>
<ci>Vm_SM</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="d_Ltype_SM" component_2="I_Ltype_SM"/>
<map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
<map_variables variable_1="d_Ltype_SM" variable_2="d_Ltype_SM"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T_correction_Ca" variable_2="T_correction_Ca"/>
</connection>
<connection>
<map_components component_1="f_Ltype_SM" component_2="I_Ltype_SM"/>
<map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
<map_variables variable_1="f_Ltype_SM" variable_2="f_Ltype_SM"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T_correction_Ca" variable_2="T_correction_Ca"/>
</connection>
<connection>
<map_components component_1="f_ca_Ltype_SM" component_2="I_Ltype_SM"/>
<map_variables variable_1="f_ca_Ltype_SM" variable_2="f_ca_Ltype_SM"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T_correction_Ca" variable_2="T_correction_Ca"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="I_Ltype_SM">
<component_ref component="d_Ltype_SM"/>
<component_ref component="f_Ltype_SM"/>
<component_ref component="f_ca_Ltype_SM"/>
</component_ref>
</group>
</model>