Location: Model of excitation-contraction in uterine myocytes from a pregnant rat @ 674128382997 / Components / IK2.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2022-10-19 10:24:37+13:00
Desc:
Add readme to link the documentation on overleaf.
Permanent Source URI:
https://models.physiomeproject.org/workspace/701/rawfile/6741283829975cd4f084159e7734dcbece29f7b1/Components/IK2.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="IK2" 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="pA" units_ref="pA"/>
        <units name="nS" units_ref="nS"/>
        <units name="mV" units_ref="mV"/>
        <units name="mM" units_ref="mM"/>
        <units name="nS_per_pF" units_ref="nS_per_pF"/>
        <units name="uJ_per_K_mmol" units_ref="uJ_per_K_mmol"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="pF" units_ref="pF"/>
    </import>
    <import xlink:href="../cellLib/Components/Ionic_currents.cellml">
        <component component_ref="Ionic_currents" name="I_pA"/>
    </import>
    <import xlink:href="../cellLib/Components/E_Nernst.cellml">
        <component component_ref="E_K" name="E_K"/>
    </import>
    <import xlink:href="../cellLib/Components/gating_kinetics.cellml">
        <component component_ref="gating_kinetics" name="p_gate"/>
    </import>
    <import xlink:href="../cellLib/Components/gating_kinetics.cellml">
        <component component_ref="gating_kinetics" name="k1_gate"/>
    </import>
    <import xlink:href="../cellLib/Components/gating_kinetics.cellml">
        <component component_ref="gating_kinetics" name="k2_gate"/>
    </import>
    <import xlink:href="IK2_gating.cellml">
        <component component_ref="p_inf" name="p_inf"/>
        <component component_ref="k_inf" name="k_inf"/>
        <component component_ref="tau_p" name="tau_p"/>
        <component component_ref="tau_k1" name="tau_k1"/>
        <component component_ref="tau_k2" name="tau_k2"/>
    </import>
    <component name="IK2">
        <variable name="time" private_interface="out" public_interface="in" units="ms"/>
        <variable name="I_K2" private_interface="in" public_interface="out" units="pA_per_pF"/>
        <variable name="V" private_interface="out" public_interface="in" units="mV"/>
        <variable name="g_K2" private_interface="out" public_interface="in" units="nS_per_pF"/>
        <variable name="C_est" private_interface="out" public_interface="in" units="pF"/>
        <variable name="R" private_interface="out" public_interface="in" units="uJ_per_K_mmol"/>
        <variable name="F" private_interface="out" public_interface="in" units="C_per_mol"/>
        <variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
        <variable name="T0K" private_interface="out" public_interface="in" units="kelvin"/>
        <variable name="Q10K" 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="p_init" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="p" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="k1_init" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="k_1" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="k2_init" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="k_2" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="P_K2" private_interface="out" public_interface="out" units="dimensionless"/>
        <variable name="p_inf" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="k_inf" private_interface="in" public_interface="out" units="dimensionless"/>
        <variable name="tau_p" private_interface="in" public_interface="out" units="ms"/>
        <variable name="tau_k1" private_interface="in" public_interface="out" units="ms"/>
        <variable name="tau_k2" private_interface="in" public_interface="out" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>P_K2</ci>
                <apply>
                    <times/>
                    <ci>p</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.75</cn>
                            <ci>k_1</ci>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.25</cn>
                            <ci>k_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="convert_I_pA">
        <variable name="I_K2" public_interface="out" units="pA_per_pF"/>
        <variable name="g_K2_ns" public_interface="out" units="nS"/>
        <variable name="I_pA" public_interface="in" units="pA"/>
        <variable name="g_K2" public_interface="in" units="nS_per_pF"/>
        <variable name="C_est" public_interface="in" units="pF"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>g_K2_ns</ci>
                <apply>
                    <times/>
                    <ci>g_K2</ci>
                    <ci>C_est</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_K2</ci>
                <apply>
                    <divide/>
                    <ci>I_pA</ci>
                    <ci>C_est</ci>
                </apply>
            </apply>
        </math>
    </component>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="IK2">
            <component_ref component="I_pA"/>
            <component_ref component="convert_I_pA"/>
            <component_ref component="E_K"/>
            <component_ref component="p_gate"/>
            <component_ref component="k1_gate"/>
            <component_ref component="k2_gate"/>
            <component_ref component="p_inf"/>
            <component_ref component="k_inf"/>
            <component_ref component="tau_p"/>
            <component_ref component="tau_k1"/>
            <component_ref component="tau_k2"/>
        </component_ref>
    </group>
    <connection>
        <map_components component_1="IK2" component_2="p_inf"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="p_inf" variable_2="X_inf"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="k_inf"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="k_inf" variable_2="X_inf"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="tau_p"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="tau_p" variable_2="tau"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="tau_k1"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="tau_k1" variable_2="tau"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="tau_k2"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="tau_k2" variable_2="tau"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="p_gate"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="Q10K" variable_2="Q_10"/>
        <map_variables variable_1="T0K" variable_2="T_0"/>
        <map_variables variable_1="p_init" variable_2="X_init"/>
        <map_variables variable_1="p" variable_2="X"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="k1_gate"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="Q10K" variable_2="Q_10"/>
        <map_variables variable_1="T0K" variable_2="T_0"/>
        <map_variables variable_1="k1_init" variable_2="X_init"/>
        <map_variables variable_1="k_1" variable_2="X"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="k2_gate"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="Q10K" variable_2="Q_10"/>
        <map_variables variable_1="T0K" variable_2="T_0"/>
        <map_variables variable_1="k2_init" variable_2="X_init"/>
        <map_variables variable_1="k_2" variable_2="X"/>
    </connection>
    <connection>
        <map_components component_1="p_inf" component_2="p_gate"/>
        <map_variables variable_1="X_inf" variable_2="X_inf"/>
    </connection>
    <connection>
        <map_components component_1="k_inf" component_2="k1_gate"/>
        <map_variables variable_1="X_inf" variable_2="X_inf"/>
    </connection>
    <connection>
        <map_components component_1="k_inf" component_2="k2_gate"/>
        <map_variables variable_1="X_inf" variable_2="X_inf"/>
    </connection>
    <connection>
        <map_components component_1="tau_p" component_2="p_gate"/>
        <map_variables variable_1="tau" variable_2="tau_X"/>
    </connection>
    <connection>
        <map_components component_1="tau_k1" component_2="k1_gate"/>
        <map_variables variable_1="tau" variable_2="tau_X"/>
    </connection>
    <connection>
        <map_components component_1="tau_k2" component_2="k2_gate"/>
        <map_variables variable_1="tau" variable_2="tau_X"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="I_pA"/>
        <map_variables variable_1="V" variable_2="V"/>
        <map_variables variable_1="P_K2" variable_2="PO"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="E_K"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="Ki" variable_2="Ki"/>
        <map_variables variable_1="Ko" variable_2="Ko"/>
    </connection>
    <connection>
        <map_components component_1="E_K" component_2="I_pA"/>
        <map_variables variable_1="E_K" variable_2="E"/>
    </connection>
    <connection>
        <map_components component_1="convert_I_pA" component_2="I_pA"/>
        <map_variables variable_1="I_pA" variable_2="I"/>
        <map_variables variable_1="g_K2_ns" variable_2="g_max"/>
    </connection>
    <connection>
        <map_components component_1="IK2" component_2="convert_I_pA"/>
        <map_variables variable_1="I_K2" variable_2="I_K2"/>
        <map_variables variable_1="g_K2" variable_2="g_K2"/>
        <map_variables variable_1="C_est" variable_2="C_est"/>
    </connection>
</model>