- Author:
- Leyla <lnor300>
- Date:
- 2022-09-28 16:08:33+13:00
- Desc:
- ..
- Permanent Source URI:
- https://models.cellml.org/workspace/919/rawfile/3affededfd25a44594b79661e39fb68801515613/Potasium_channel/Ika.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Ika" 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">
<!-- Ether-a-go-go-potassiuom-channel-->
<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="xa1_SM">
<variable name="Vm_SM" public_interface="in" units="voltage_units"/>
<variable name="xa1_inf_SM" units="dimensionless"/>
<variable name="tau_xa1_SM" units="time_units"/>
<variable initial_value="0.00414" name="xa1_SM" public_interface="out" units="dimensionless"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="T_correction_K" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xa1_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">26.5</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="voltage_units">7.9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xa1_SM</ci>
<apply>
<times/>
<ci>T_correction_K</ci>
<apply>
<plus/>
<cn cellml:units="time_units">31.8</cn>
<apply>
<times/>
<cn cellml:units="time_units">175</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.5</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Vm_SM</ci>
<cn cellml:units="voltage_units">44.4</cn>
</apply>
<cn cellml:units="voltage_units">22.3</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xa1_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xa1_inf_SM</ci>
<ci>xa1_SM</ci>
</apply>
<ci>tau_xa1_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="xa2_SM">
<variable name="Vm_SM" public_interface="in" units="voltage_units"/>
<variable name="xa2_inf_SM" units="dimensionless"/>
<variable name="tau_xa2_SM" units="time_units"/>
<variable initial_value="0.72" name="xa2_SM" public_interface="out" units="dimensionless"/>
<variable name="time" public_interface="in" units="time_units"/>
<variable name="T_correction_K" public_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xa2_inf_SM</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">0.1</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.9</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">65</cn>
</apply>
<cn cellml:units="voltage_units">6.2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xa2_SM</ci>
<apply>
<times/>
<ci>T_correction_K</ci>
<cn cellml:units="time_units">90</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xa2_SM</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xa2_inf_SM</ci>
<ci>xa2_SM</ci>
</apply>
<ci>tau_xa2_SM</ci>
</apply>
</apply>
</math>
</component>
<component name="I_ka_SM">
<variable name="I_ka_SM" public_interface="out" units="current_units"/>
<variable name="E_K" public_interface="out" units="voltage_units"/>
<variable initial_value="9" name="G_max_ka_SM" units="conductance_units"/>
<variable name="Vm_SM" private_interface="out" public_interface="in" units="voltage_units"/>
<variable name="xa1_SM" private_interface="in" public_interface="out" units="dimensionless"/>
<variable name="xa2_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"/>
<variable name="time" private_interface="out" public_interface="in" units="time_units"/>
<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_ka_SM</ci>
<apply>
<times/>
<ci>G_max_ka_SM</ci>
<ci>xa1_SM</ci>
<ci>xa2_SM</ci>
<apply>
<minus/>
<ci>Vm_SM</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="xa1_SM" component_2="I_ka_SM"/>
<map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
<map_variables variable_1="xa1_SM" variable_2="xa1_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="xa2_SM" component_2="I_ka_SM"/>
<map_variables variable_1="Vm_SM" variable_2="Vm_SM"/>
<map_variables variable_1="xa2_SM" variable_2="xa2_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_ka_SM">
<component_ref component="xa1_SM"/>
<component_ref component="xa2_SM"/>
</component_ref>
</group>
</model>
