- Author:
- Leyla <lnor300>
- Date:
- 2022-09-28 16:08:33+13:00
- Desc:
- ..
- Permanent Source URI:
- https://models.cellml.org/workspace/919/rawfile/3affededfd25a44594b79661e39fb68801515613/Delayed_Rectifier/Ikr.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Ikr" 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="xr1_SM">
<variable name="Vm_SM" public_interface="in" units="voltage_units"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="xr1_inf_SM" units="dimensionless"/>
<variable name="tau_xr1_SM" units="time_units"/>
<variable initial_value="0.0" name="xr1_SM" public_interface="out" units="dimensionless"/>
<variable name="T_correction_K" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xr1_inf_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">27</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="voltage_units">5.0</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xr1_SM</ci>
<apply>
<times/>
<ci>T_correction_K</ci>
<cn cellml:units="time_units">80</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xr1_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xr1_inf_SM</ci>
<ci>xr1_SM</ci>
</apply>
<ci>tau_xr1_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="xr2_SM">
<variable name="Vm_SM" public_interface="in" units="voltage_units"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="xr2_inf_SM" units="dimensionless"/>
<variable name="tau_xr2_SM" units="time_units"/>
<variable initial_value="0.82" name="xr2_SM" public_interface="out" units="dimensionless"/>
<variable name="T_correction_K" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xr2_inf_SM</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">0.2</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.8</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">58</cn>
</apply>
<cn cellml:units="voltage_units">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xr2_SM</ci>
<apply>
<times/>
<ci>T_correction_K</ci>
<apply>
<plus/>
<apply>
<minus/>
<cn cellml:units="time_units">707</cn>
</apply>
<apply>
<times/>
<cn cellml:units="time_units">1481</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Vm_SM</ci>
<cn cellml:units="voltage_units">36</cn>
</apply>
<cn cellml:units="voltage_units">95</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xr2_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xr2_inf_SM</ci>
<ci>xr2_SM</ci>
</apply>
<ci>tau_xr2_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="I_kr_SM">
<variable name="I_kr_SM" private_interface="out" public_interface="out" units="current_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="E_K" public_interface="out" units="voltage_units"/>
<variable initial_value="35" name="G_max_kr_SM" units="conductance_units"/>
<variable name="xr1_SM" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="xr2_SM" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="RToF" public_interface="in" units="voltage_units"/>
<variable name="K_o" public_interface="in" units="millimolar"/>
<variable name="K_i" public_interface="in" units="millimolar"/>
<variable name="T_correction_K" private_interface="out" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<times/>
<ci>RToF</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_o</ci>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_kr_SM</ci>
<apply>
<times/>
<ci>G_max_kr_SM</ci>
<ci>xr1_SM</ci>
<ci>xr2_SM</ci>
<apply>
<minus/>
<ci>Vm_SM</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="xr1_SM" component_2="I_kr_SM"/>
<map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
<map_variables variable_1="xr1_SM" variable_2="xr1_SM"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T_correction_K" variable_2="T_correction_K"/>
</connection>
<connection>
<map_components component_1="xr2_SM" component_2="I_kr_SM"/>
<map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
<map_variables variable_1="xr2_SM" variable_2="xr2_SM"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T_correction_K" variable_2="T_correction_K"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="I_kr_SM">
<component_ref component="xr1_SM"/>
<component_ref component="xr2_SM"/>
</component_ref>
</group>
</model>
