Location: Reproducibility of the computational model of induced pluripotent stem-cell derived cardiomyocytes @ 835e5bf16e89 / CellML / gating_Ikr.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2024-11-12 10:18:28+13:00
Desc:
Updating files
Permanent Source URI:
https://models.cellml.org/workspace/702/rawfile/835e5bf16e8987195f14b4e11c5696cf8266de6a/CellML/gating_Ikr.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="gating_eq" 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="unit.cellml">
        <units name="per_ms" units_ref="per_ms"/>
        <units name="mV" units_ref="mV"/>
        <!--        unit mM using unit mM;-->
        <units name="mV_ms" units_ref="mV_ms"/>
        <units name="ms" units_ref="ms"/>
        <!--        unit pA_per_pF using unit pA_per_pF;
        unit nS_per_pF using unit nS_per_pF;-->
    </import>
    <component name="gating_Ikr">
        <variable name="v" public_interface="in" units="mV"/>
        <variable name="alpha_act" public_interface="out" units="per_ms"/>
        <variable name="beta_act" public_interface="out" units="per_ms"/>
        <variable name="alpha_inact" public_interface="out" units="per_ms"/>
        <variable name="beta_inact" public_interface="out" units="per_ms"/>
        <!--        var act_inact: dimensionless {pub: out};
        var g_Kr: dimensionless {pub: out};
        var i_Kr: dimensionless {pub: out};
        var Xr1_0: dimensionless {pub: in};-->
        <variable name="Xr1_1" public_interface="in" units="dimensionless"/>
        <variable name="Xr1_2" public_interface="in" units="dimensionless"/>
        <variable name="Xr1_3" public_interface="out" units="dimensionless"/>
        <variable name="Xr1_4" public_interface="out" units="dimensionless"/>
        <variable name="Xr1_5" public_interface="in" units="dimensionless"/>
        <variable name="Xr1_6" public_interface="in" units="dimensionless"/>
        <variable name="Xr2_1" public_interface="in" units="dimensionless"/>
        <variable name="Xr2_2" public_interface="in" units="dimensionless"/>
        <variable name="Xr2_3" public_interface="out" units="dimensionless"/>
        <variable name="Xr2_4" public_interface="out" units="dimensionless"/>
        <variable name="Xr2_5" public_interface="in" units="dimensionless"/>
        <variable name="Xr2_6" public_interface="in" units="dimensionless"/>
        <variable name="Xr1_7" public_interface="in" units="dimensionless"/>
        <variable name="Xr2_7" public_interface="in" units="dimensionless"/>
        <variable name="x_inf_act" public_interface="out" units="dimensionless"/>
        <variable name="x_inf_inact" public_interface="out" units="dimensionless"/>
        <variable name="tau_kr_act" public_interface="out" units="ms"/>
        <variable name="tau_kr_inact" public_interface="out" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Xr1_3</ci>
                <apply>
                    <times/>
                    <ci>Xr1_5</ci>
                    <ci>Xr1_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Xr2_3</ci>
                <apply>
                    <times/>
                    <ci>Xr2_5</ci>
                    <ci>Xr2_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Xr1_4</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>Xr1_2</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>Xr1_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Xr2_4</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>Xr2_2</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>Xr2_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_act</ci>
                <apply>
                    <times/>
                    <ci>Xr1_1</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>Xr1_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_act</ci>
                <apply>
                    <times/>
                    <ci>Xr1_3</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>Xr1_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_inf_act</ci>
                <apply>
                    <divide/>
                    <ci>alpha_act</ci>
                    <apply>
                        <plus/>
                        <ci>alpha_act</ci>
                        <ci>beta_act</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_kr_act</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <plus/>
                            <ci>alpha_act</ci>
                            <ci>beta_act</ci>
                        </apply>
                    </apply>
                    <ci>Xr1_7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_inact</ci>
                <apply>
                    <times/>
                    <ci>Xr2_1</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>Xr2_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_inact</ci>
                <apply>
                    <times/>
                    <ci>Xr2_3</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>Xr2_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_inf_inact</ci>
                <apply>
                    <divide/>
                    <ci>alpha_inact</ci>
                    <apply>
                        <plus/>
                        <ci>alpha_inact</ci>
                        <ci>beta_inact</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_kr_inact</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <plus/>
                            <ci>alpha_inact</ci>
                            <ci>beta_inact</ci>
                        </apply>
                    </apply>
                    <ci>Xr2_7</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>