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

<?xml version='1.0' encoding='UTF-8'?>
<model name="INaK" 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="nS_per_pF" units_ref="nS_per_pF"/>
        <units name="pA_per_pF" units_ref="pA_per_pF"/>
        <units name="mV" units_ref="mV"/>
        <units name="mM" units_ref="mM"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="uJ_per_K_mmol" units_ref="uJ_per_K_mmol"/>
    </import>
    <import xlink:href="../cellLib/Components/Hillfcn.cellml">
        <component component_ref="Hillfcn" name="k_NaK"/>
    </import>
    <import xlink:href="../cellLib/Components/Hillfcn.cellml">
        <component component_ref="Hillfcn" name="n_NaK"/>
    </import>
    <component name="INaK">
        <variable name="I_NaK" public_interface="out" units="pA_per_pF"/>
        <variable name="g_NaK" public_interface="in" units="nS_per_pF"/>
        <variable name="V" public_interface="in" units="mV"/>
        <variable name="R" public_interface="in" units="uJ_per_K_mmol"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="K_dNa" public_interface="in" units="mM"/>
        <variable name="Nai" private_interface="out" public_interface="in" units="mM"/>
        <variable name="n_Na" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="Nao" private_interface="out" public_interface="in" units="mM"/>
        <variable name="K_dK" private_interface="out" public_interface="in" units="mM"/>
        <variable name="Ko" private_interface="out" public_interface="in" units="mM"/>
        <variable name="n_K" private_interface="out" public_interface="in" units="dimensionless"/>
        <variable name="x_K" private_interface="out" units="dimensionless"/>
        <variable name="x_Na" private_interface="out" units="dimensionless"/>
        <variable name="k_NaK" private_interface="in" units="dimensionless"/>
        <variable name="n_NaK" private_interface="in" units="dimensionless"/>
        <variable name="f_NaK" units="mV"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>x_K</ci>
                <apply>
                    <divide/>
                    <ci>K_dK</ci>
                    <ci>Ko</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_Na</ci>
                <apply>
                    <divide/>
                    <ci>K_dNa</ci>
                    <ci>Nai</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>f_NaK</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="mV">1</cn>
                    <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.125</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">0.1</cn>
                                        </apply>
                                        <ci>V</ci>
                                        <ci>F</ci>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>R</ci>
                                        <ci>T</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <cn cellml:units="dimensionless">0.00219</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <ci>Nao</ci>
                                    <cn cellml:units="mM">49.71</cn>
                                </apply>
                            </apply>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <apply>
                                            <minus/>
                                            <cn cellml:units="dimensionless">1.9</cn>
                                        </apply>
                                        <ci>V</ci>
                                        <ci>F</ci>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>R</ci>
                                        <ci>T</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NaK</ci>
                <apply>
                    <times/>
                    <ci>g_NaK</ci>
                    <ci>f_NaK</ci>
                    <ci>k_NaK</ci>
                    <ci>n_NaK</ci>
                </apply>
            </apply>
        </math>
    </component>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="INaK">
            <component_ref component="k_NaK"/>
            <component_ref component="n_NaK"/>
        </component_ref>
    </group>
    <connection>
        <map_components component_1="INaK" component_2="k_NaK"/>
        <map_variables variable_1="x_K" variable_2="x"/>
        <map_variables variable_1="n_K" variable_2="n"/>
        <map_variables variable_1="k_NaK" variable_2="H"/>
    </connection>
    <connection>
        <map_components component_1="INaK" component_2="n_NaK"/>
        <map_variables variable_1="x_Na" variable_2="x"/>
        <map_variables variable_1="n_Na" variable_2="n"/>
        <map_variables variable_1="n_NaK" variable_2="H"/>
    </connection>
</model>