- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2021-10-18 15:02:26+13:00
- Desc:
- correction based on cross checking
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/701/rawfile/51ff74a5d6cec74225547f776376085466bd2985/Components/IKCa.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="IKCa" 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="../cellLib/Components/units.cellml">
<units name="ms" units_ref="ms"/>
<units name="pA_per_pF" units_ref="pA_per_pF"/>
<units name="cm3_per_s" units_ref="cm3_per_s"/>
<units name="per_cmsq" units_ref="per_cmsq"/>
<units name="cm3" units_ref="cm3"/>
<units name="mV" units_ref="mV"/>
<units name="mM" units_ref="mM"/>
<units name="pF" units_ref="pF"/>
<units name="pA" units_ref="pA"/>
<units name="J_per_K_mol" units_ref="J_per_K_mol"/>
<units name="C_per_mmol" units_ref="C_per_mmol"/>
<units name="cmsq" units_ref="cmsq"/>
</import>
<import xlink:href="../cellLib/Components/gating_kinetics.cellml">
<component component_ref="gating_kinetics" name="pf_gate"/>
</import>
<import xlink:href="../cellLib/Components/gating_kinetics.cellml">
<component component_ref="gating_kinetics" name="ps_gate"/>
</import>
<import xlink:href="IKCa_gating.cellml">
<component component_ref="po_inf" name="po_inf"/>
</import>
<component name="IKCa">
<variable name="time" private_interface="out" public_interface="in" units="ms"/>
<variable name="I_KCa" public_interface="out" units="pA_per_pF"/>
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="P_BKCa" public_interface="in" units="cm3_per_s"/>
<variable name="N_BKCa" public_interface="in" units="per_cmsq"/>
<variable name="C_est" public_interface="in" units="pF"/>
<variable name="Ac" private_interface="out" public_interface="in" units="cmsq"/>
<variable name="R" private_interface="out" public_interface="in" units="J_per_K_mol"/>
<variable name="F" private_interface="out" public_interface="in" units="C_per_mmol"/>
<variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
<variable name="T0KCa" private_interface="out" public_interface="in" units="kelvin"/>
<variable name="Q10KCa" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="Ko" private_interface="out" public_interface="in" units="mM"/>
<variable name="Ki" private_interface="out" public_interface="in" units="mM"/>
<variable name="Cai" private_interface="out" public_interface="in" units="mM"/>
<variable name="pf_init" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="p_f" private_interface="in" units="dimensionless"/>
<variable name="tau_pf" private_interface="out" public_interface="in" units="ms"/>
<variable name="ps_init" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="p_s" private_interface="in" units="dimensionless"/>
<variable name="tau_ps" private_interface="out" public_interface="in" units="ms"/>
<variable name="V_hKCa" private_interface="out" units="mV"/>
<variable name="P_KCa" public_interface="out" units="dimensionless"/>
<variable name="i_KCa_ion" public_interface="out" units="pA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_KCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ac</ci>
<ci>N_BKCa</ci>
<ci>P_KCa</ci>
<ci>i_KCa_ion</ci>
</apply>
<ci>C_est</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_KCa</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.17</cn>
<ci>p_f</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.83</cn>
<ci>p_s</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_KCa_ion</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="pA" type="e-notation">1<sep/>9</cn>
<cn cellml:units="liter">1</cn>
</apply>
<apply>
<times/>
<cn cellml:units="cm3">1</cn>
<cn cellml:units="ampere">1</cn>
</apply>
</apply>
<ci>P_BKCa</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/>
<ci>Ko</ci>
<apply>
<times/>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_hKCa</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mV">41.7</cn>
</apply>
<apply>
<log/>
<logbase>
<cn cellml:units="dimensionless">10</cn>
</logbase>
<apply>
<divide/>
<ci>Cai</ci>
<cn cellml:units="mM">1</cn>
</apply>
</apply>
</apply>
<cn cellml:units="mV">128.2</cn>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="IKCa">
<component_ref component="pf_gate"/>
<component_ref component="ps_gate"/>
<component_ref component="po_inf"/>
</component_ref>
</group>
<connection>
<map_components component_1="IKCa" component_2="po_inf"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="V_hKCa" variable_2="V_hKCa"/>
</connection>
<connection>
<map_components component_1="IKCa" component_2="pf_gate"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="Q10KCa" variable_2="Q_10"/>
<map_variables variable_1="T0KCa" variable_2="T_0"/>
<map_variables variable_1="pf_init" variable_2="X_init"/>
<map_variables variable_1="tau_pf" variable_2="tau_X"/>
<map_variables variable_1="p_f" variable_2="X"/>
</connection>
<connection>
<map_components component_1="IKCa" component_2="ps_gate"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="Q10KCa" variable_2="Q_10"/>
<map_variables variable_1="T0KCa" variable_2="T_0"/>
<map_variables variable_1="ps_init" variable_2="X_init"/>
<map_variables variable_1="tau_ps" variable_2="tau_X"/>
<map_variables variable_1="p_s" variable_2="X"/>
</connection>
<connection>
<map_components component_1="po_inf" component_2="pf_gate"/>
<map_variables variable_1="X_inf" variable_2="X_inf"/>
</connection>
<connection>
<map_components component_1="po_inf" component_2="ps_gate"/>
<map_variables variable_1="X_inf" variable_2="X_inf"/>
</connection>
</model>