Location: Single PASMC model (Gosak et al 2014) @ 2342955c5f05 / Components / JKi.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2022-04-20 20:29:47+12:00
Desc:
Correct the models and rebuild; Status: the model output is not correct, need to check the parameters.
Permanent Source URI:
https://models.cellml.org/workspace/83f/rawfile/2342955c5f054b3ddf8883e245b20b574acfa8d2/Components/JKi.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="JKi" 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="mV" units_ref="mV"/>
        <units name="per_s" units_ref="per_s"/>
        <units name="uM" units_ref="uM"/>
        <units name="uM2" units_ref="uM2"/>
        <units name="uM_per_s" units_ref="uM_per_s"/>
        <units name="uM_per_s_mV" units_ref="uM_per_s_mV"/>
    </import>
    <component name="JKi">
        <variable name="G_Ki" public_interface="in" units="uM_per_s_mV"/>
        <variable name="v_K" public_interface="in" units="mV"/>
        <variable name="wi_init" public_interface="in" units="dimensionless"/>
        <variable initial_value="wi_init" name="w_i" units="dimensionless"/>
        <variable name="lambda" public_interface="in" units="per_s"/>
        <variable name="K_activationi" units="dimensionless"/>
        <variable name="c_w" public_interface="in" units="uM"/>
        <variable name="v_Ca3" public_interface="in" units="mV"/>
        <variable name="R_K" public_interface="in" units="mV"/>
        <variable name="beta" public_interface="in" units="uM2"/>
        <variable name="t" public_interface="in" units="second"/>
        <variable name="c_i" public_interface="in" units="uM"/>
        <variable name="v_i" public_interface="in" units="mV"/>
        <variable name="J_Ki" public_interface="out" units="uM_per_s"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>J_Ki</ci>
                <apply>
                    <times/>
                    <ci>G_Ki</ci>
                    <ci>w_i</ci>
                    <apply>
                        <minus/>
                        <ci>v_i</ci>
                        <ci>v_K</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>w_i</ci>
                </apply>
                <apply>
                    <times/>
                    <ci>lambda</ci>
                    <apply>
                        <minus/>
                        <ci>K_activationi</ci>
                        <ci>w_i</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>K_activationi</ci>
                <apply>
                    <divide/>
                    <apply>
                        <power/>
                        <apply>
                            <plus/>
                            <ci>c_i</ci>
                            <ci>c_w</ci>
                        </apply>
                        <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <power/>
                            <apply>
                                <plus/>
                                <ci>c_i</ci>
                                <ci>c_w</ci>
                            </apply>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <apply>
                            <times/>
                            <ci>beta</ci>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <minus/>
                                        <apply>
                                            <minus/>
                                            <ci>v_i</ci>
                                            <ci>v_Ca3</ci>
                                        </apply>
                                    </apply>
                                    <ci>R_K</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>