Location: Reproducibility of the computational model of induced pluripotent stem-cell derived cardiomyocytes @ 835e5bf16e89 / CellML / gating_Ina.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_Ina.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_Ina">
        <variable name="v" public_interface="in" units="mV"/>
        <variable name="alpha_m_act" public_interface="out" units="per_ms"/>
        <variable name="beta_m_act" public_interface="out" units="per_ms"/>
        <variable name="alpha_h_inact" public_interface="out" units="per_ms"/>
        <variable name="beta_h_inact" public_interface="out" units="per_ms"/>
        <variable name="alpha_j_inact" public_interface="out" units="per_ms"/>
        <variable name="beta_j_inact" public_interface="out" units="per_ms"/>
        <variable name="m_1" public_interface="in" units="dimensionless"/>
        <variable name="m_2" public_interface="in" units="dimensionless"/>
        <variable name="m_3" public_interface="out" units="dimensionless"/>
        <variable name="m_4" public_interface="out" units="dimensionless"/>
        <variable name="m_5" public_interface="in" units="dimensionless"/>
        <variable name="m_6" public_interface="in" units="dimensionless"/>
        <variable name="h_1" public_interface="in" units="dimensionless"/>
        <variable name="h_2" public_interface="in" units="dimensionless"/>
        <variable name="h_3" public_interface="out" units="dimensionless"/>
        <variable name="h_4" public_interface="out" units="dimensionless"/>
        <variable name="h_5" public_interface="in" units="dimensionless"/>
        <variable name="h_6" public_interface="in" units="dimensionless"/>
        <variable name="j_1" public_interface="in" units="dimensionless"/>
        <variable name="j_2" public_interface="in" units="dimensionless"/>
        <variable name="j_3" public_interface="out" units="dimensionless"/>
        <variable name="j_4" public_interface="out" units="dimensionless"/>
        <variable name="j_5" public_interface="out" units="dimensionless"/>
        <variable name="j_6" public_interface="out" units="dimensionless"/>
        <variable name="tau_m_const" public_interface="in" units="dimensionless"/>
        <variable name="tau_h_const" public_interface="in" units="dimensionless"/>
        <variable name="tau_j_const" public_interface="in" units="dimensionless"/>
        <variable name="x_na_m_inf_act" public_interface="out" units="dimensionless"/>
        <variable name="x_na_h_inf_inact" public_interface="out" units="dimensionless"/>
        <variable name="x_na_j_inf_inact" public_interface="out" units="dimensionless"/>
        <variable name="tau_na_m_act" public_interface="out" units="ms"/>
        <variable name="tau_na_h_inact" public_interface="out" units="ms"/>
        <variable name="tau_na_j_inact" public_interface="out" units="ms"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>m_3</ci>
                <apply>
                    <times/>
                    <ci>m_5</ci>
                    <ci>m_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>h_3</ci>
                <apply>
                    <times/>
                    <ci>h_5</ci>
                    <ci>h_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>j_3</ci>
                <apply>
                    <times/>
                    <ci>j_5</ci>
                    <ci>j_1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>m_4</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>m_2</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>m_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>h_4</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>h_2</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>h_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>j_4</ci>
                <apply>
                    <divide/>
                    <cn cellml:units="dimensionless">1</cn>
                    <apply>
                        <plus/>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>j_2</ci>
                        </apply>
                        <apply>
                            <divide/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>j_6</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>j_5</ci>
                <ci>h_5</ci>
            </apply>
            <apply>
                <eq/>
                <ci>j_6</ci>
                <ci>h_6</ci>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_m_act</ci>
                <apply>
                    <times/>
                    <ci>m_1</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>m_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_m_act</ci>
                <apply>
                    <times/>
                    <ci>m_3</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>m_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_na_m_inf_act</ci>
                <apply>
                    <divide/>
                    <ci>alpha_m_act</ci>
                    <apply>
                        <plus/>
                        <ci>alpha_m_act</ci>
                        <ci>beta_m_act</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_na_m_act</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <plus/>
                            <ci>alpha_m_act</ci>
                            <ci>beta_m_act</ci>
                        </apply>
                    </apply>
                    <ci>tau_m_const</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_h_inact</ci>
                <apply>
                    <times/>
                    <ci>h_1</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>h_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_h_inact</ci>
                <apply>
                    <times/>
                    <ci>h_3</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>h_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_na_h_inf_inact</ci>
                <apply>
                    <divide/>
                    <ci>alpha_h_inact</ci>
                    <apply>
                        <plus/>
                        <ci>alpha_h_inact</ci>
                        <ci>beta_h_inact</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_na_h_inact</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <plus/>
                            <ci>alpha_h_inact</ci>
                            <ci>beta_h_inact</ci>
                        </apply>
                    </apply>
                    <ci>tau_h_const</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_j_inact</ci>
                <apply>
                    <times/>
                    <ci>j_1</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>j_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_j_inact</ci>
                <apply>
                    <times/>
                    <ci>j_3</ci>
                    <apply>
                        <exp/>
                        <apply>
                            <divide/>
                            <ci>v</ci>
                            <ci>j_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>x_na_j_inf_inact</ci>
                <apply>
                    <divide/>
                    <ci>alpha_j_inact</ci>
                    <apply>
                        <plus/>
                        <ci>alpha_j_inact</ci>
                        <ci>beta_j_inact</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>tau_na_j_inact</ci>
                <apply>
                    <plus/>
                    <apply>
                        <divide/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                            <plus/>
                            <ci>alpha_j_inact</ci>
                            <ci>beta_j_inact</ci>
                        </apply>
                    </apply>
                    <ci>tau_j_const</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>