Location: Model of excitation-contraction in uterine myocytes from a pregnant rat @ 674128382997 / Components / IKCa.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/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="uA" units_ref="uA"/>
        <units name="uJ_per_K_mmol" units_ref="uJ_per_K_mmol"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <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="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="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>
                <piecewise>
                    <piece>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <cn cellml:units="pA" type="e-notation">1<sep/>4</cn>
                                            <cn cellml:units="uA">1</cn>
                                        </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>
                                            <plus/>
                                            <cn cellml:units="dimensionless">1</cn>
                                            <apply>
                                                <divide/>
                                                <apply>
                                                    <times/>
                                                    <ci>V</ci>
                                                    <ci>F</ci>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>R</ci>
                                                    <ci>T</ci>
                                                </apply>
                                            </apply>
                                            <apply>
                                                <divide/>
                                                <apply>
                                                    <power/>
                                                    <apply>
                                                        <divide/>
                                                        <apply>
                                                            <times/>
                                                            <ci>V</ci>
                                                            <ci>F</ci>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>R</ci>
                                                            <ci>T</ci>
                                                        </apply>
                                                    </apply>
                                                    <cn cellml:units="dimensionless">2</cn>
                                                </apply>
                                                <cn cellml:units="dimensionless">2</cn>
                                            </apply>
                                            <apply>
                                                <divide/>
                                                <apply>
                                                    <power/>
                                                    <apply>
                                                        <divide/>
                                                        <apply>
                                                            <times/>
                                                            <ci>V</ci>
                                                            <ci>F</ci>
                                                        </apply>
                                                        <apply>
                                                            <times/>
                                                            <ci>R</ci>
                                                            <ci>T</ci>
                                                        </apply>
                                                    </apply>
                                                    <cn cellml:units="dimensionless">3</cn>
                                                </apply>
                                                <cn cellml:units="dimensionless">6</cn>
                                            </apply>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <apply>
                                    <plus/>
                                    <cn cellml:units="dimensionless">1</cn>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <times/>
                                            <ci>V</ci>
                                            <ci>F</ci>
                                        </apply>
                                        <apply>
                                            <times/>
                                            <ci>R</ci>
                                            <ci>T</ci>
                                        </apply>
                                    </apply>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <power/>
                                            <apply>
                                                <divide/>
                                                <apply>
                                                    <times/>
                                                    <ci>V</ci>
                                                    <ci>F</ci>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>R</ci>
                                                    <ci>T</ci>
                                                </apply>
                                            </apply>
                                            <cn cellml:units="dimensionless">2</cn>
                                        </apply>
                                        <cn cellml:units="dimensionless">2</cn>
                                    </apply>
                                    <apply>
                                        <divide/>
                                        <apply>
                                            <power/>
                                            <apply>
                                                <divide/>
                                                <apply>
                                                    <times/>
                                                    <ci>V</ci>
                                                    <ci>F</ci>
                                                </apply>
                                                <apply>
                                                    <times/>
                                                    <ci>R</ci>
                                                    <ci>T</ci>
                                                </apply>
                                            </apply>
                                            <cn cellml:units="dimensionless">3</cn>
                                        </apply>
                                        <cn cellml:units="dimensionless">6</cn>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <gt/>
                            <ci>V</ci>
                            <cn cellml:units="mV">160</cn>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="pA">0</cn>
                        <apply>
                            <eq/>
                            <ci>V</ci>
                            <cn cellml:units="mV">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <divide/>
                                            <cn cellml:units="pA" type="e-notation">1<sep/>4</cn>
                                            <cn cellml:units="uA">1</cn>
                                        </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>
                    </otherwise>
                </piecewise>
            </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>