Location: Reproducibility of the computational model of induced pluripotent stem-cell derived cardiomyocytes @ 039d86eef7a8 / Fig11 / baseline_IK1.cellml

Author:
nima <nafs080@aucklanduni.ac.nz>
Date:
2021-10-20 17:20:29+13:00
Desc:
Updated documentation
Permanent Source URI:
https://models.cellml.org/workspace/702/rawfile/039d86eef7a89663b867710b506bd7a266fcdbeb/Fig11/baseline_IK1.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="my_model" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
    <units name="mV">
        <unit prefix="milli" units="volt"/>
    </units>
    <units name="per_s">
        <unit exponent="-1" units="second"/>
    </units>
    <component name="main">
        <variable initial_value="-150" name="v" public_interface="out" units="mV"/>
        <variable name="alpha" public_interface="out" units="per_s"/>
        <variable name="beta" public_interface="out" units="per_s"/>
        <!--        var m_inf_ma: dimensionless {pub: out};-->
        <variable name="x_inf" public_interface="out" units="dimensionless"/>
        <variable initial_value="5.4" name="Ko" public_interface="out" units="dimensionless"/>
        <variable name="Ki" public_interface="out" units="dimensionless"/>
        <variable initial_value="8.314472" name="R" public_interface="out" units="dimensionless"/>
        <variable initial_value="310.0" name="T" public_interface="out" units="dimensionless"/>
        <variable initial_value="96.4853415" name="F" public_interface="out" units="dimensionless"/>
        <variable name="E_K" public_interface="out" units="dimensionless"/>
        <variable name="g_k1" public_interface="out" units="dimensionless"/>
        <variable name="i_k1" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.1338" name="var_1" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.4780" name="var_2" public_interface="out" units="dimensionless"/>
        <variable initial_value="27.2428" name="var_3" public_interface="out" units="dimensionless"/>
        <variable initial_value="4.9250" name="var_4" public_interface="out" units="dimensionless"/>
        <variable initial_value="8.7222" name="var_5" public_interface="out" units="dimensionless"/>
        <variable initial_value="56.6362" name="var_6" public_interface="out" units="dimensionless"/>
        <variable initial_value="1" name="protocol" public_interface="out" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Ki</ci>
                <piecewise>
                    <piece>
                        <cn cellml:units="dimensionless">150</cn>
                        <apply>
                            <eq/>
                            <ci>protocol</ci>
                            <cn cellml:units="dimensionless">1</cn>
                        </apply>
                    </piece>
                    <piece>
                        <cn cellml:units="dimensionless">148</cn>
                        <apply>
                            <eq/>
                            <ci>protocol</ci>
                            <cn cellml:units="dimensionless">2</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <cn cellml:units="dimensionless">125</cn>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>E_K</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>T</ci>
                        </apply>
                        <ci>F</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Ko</ci>
                            <ci>Ki</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha</ci>
                <apply>
                    <times/>
                    <ci>var_2</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <apply>
                                <plus/>
                                <ci>v</ci>
                                <ci>var_4</ci>
                            </apply>
                            <ci>var_3</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta</ci>
                <apply>
                    <exp/>
                    <apply>
                        <divide/>
                        <apply>
                            <plus/>
                            <ci>v</ci>
                            <ci>var_6</ci>
                        </apply>
                        <ci>var_5</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_inf</ci>
                <apply>
                    <divide/>
                    <ci>alpha</ci>
                    <apply>
                        <plus/>
                        <ci>alpha</ci>
                        <ci>beta</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>g_k1</ci>
                <ci>var_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>i_k1</ci>
                <apply>
                    <times/>
                    <ci>g_k1</ci>
                    <apply>
                        <root/>
                        <apply>
                            <divide/>
                            <ci>Ko</ci>
                            <cn cellml:units="dimensionless">5.4</cn>
                        </apply>
                    </apply>
                    <ci>x_inf</ci>
                    <apply>
                        <minus/>
                        <ci>v</ci>
                        <ci>E_K</ci>
                    </apply>
                </apply>
            </apply>
        </math>
        <variable initial_value="1" name="t" public_interface="out" units="dimensionless"/>
        <variable initial_value="1" name="a" public_interface="out" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>a</ci>
                </apply>
                <cn cellml:units="dimensionless">1</cn>
            </apply>
        </math>
    </component>
</model>