Location: BG_NCX @ 8efd0d1d00c4 / NCX_channel.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-02-17 10:32:13+13:00
Desc:
Init
Permanent Source URI:
https://models.physiomeproject.org/workspace/828/rawfile/8efd0d1d00c46977c78b03537ee5958b8a2350f2/NCX_channel.cellml

<?xml version='1.0' encoding='UTF-8'?>
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        <unit exponent="-1" units="kelvin"/>
        <unit exponent="-1" units="mole"/>
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    <units name="C_per_mol">
        <unit units="coulomb"/>
        <unit exponent="-1" units="mole"/>
    </units>
    <units name="fF">
        <unit prefix="femto" units="farad"/>
    </units>
    <units name="fmol">
        <unit prefix="femto" units="mole"/>
    </units>
    <units name="per_fmol">
        <unit exponent="-1" units="fmol"/>
    </units>
    <units name="fmol_per_sec">
        <unit units="fmol"/>
        <unit exponent="-1" units="second"/>
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    <units name="fA">
        <unit prefix="femto" units="ampere"/>
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    <units name="J_per_mol">
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                <ci>x_Cae</ci>
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        </math>
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        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
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        <variable name="K_3_NCX" public_interface="in" units="per_fmol"/>
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        <variable name="kappa_3_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_4_NCX" public_interface="in" units="fmol_per_sec"/>
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                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_r4</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_r5</ci>
                <apply>
                    <times/>
                    <ci>kappa_5_NCX</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_r5</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_r5</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_r6</ci>
                <apply>
                    <times/>
                    <ci>kappa_6_NCX</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_r6</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_r6</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_r1</ci>
                <ci>mu_P1_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Af_r2</ci>
                <apply>
                    <plus/>
                    <ci>mu_P2_NCX</ci>
                    <ci>mu_Cai</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_r3</ci>
                <ci>mu_P3_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Af_r4</ci>
                <ci>mu_P4_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Af_r5</ci>
                <apply>
                    <plus/>
                    <ci>mu_P5_NCX</ci>
                    <apply>
                        <times/>
                        <ci>nNae_NCX</ci>
                        <ci>mu_Nae</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_r6</ci>
                <apply>
                    <plus/>
                    <ci>mu_P6_NCX</ci>
                    <apply>
                        <times/>
                        <ci>zf_NCX</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r1</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>nNai_NCX</ci>
                        <ci>mu_Nai</ci>
                    </apply>
                    <ci>mu_P2_NCX</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r2</ci>
                <ci>mu_P3_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r3</ci>
                <ci>mu_P4_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r4</ci>
                <apply>
                    <plus/>
                    <ci>mu_P5_NCX</ci>
                    <ci>mu_Cae</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r5</ci>
                <ci>mu_P6_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r6</ci>
                <apply>
                    <plus/>
                    <ci>mu_P1_NCX</ci>
                    <apply>
                        <times/>
                        <ci>zr_NCX</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Cae</ci>
                <ci>v_r4</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_Cai</ci>
                <apply>
                    <minus/>
                    <ci>v_r2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Nae</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>nNae_NCX</ci>
                    </apply>
                    <ci>v_r5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Nai</ci>
                <apply>
                    <times/>
                    <ci>nNai_NCX</ci>
                    <ci>v_r1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P1_NCX</ci>
                <apply>
                    <minus/>
                    <ci>v_r6</ci>
                    <ci>v_r1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P2_NCX</ci>
                <apply>
                    <minus/>
                    <ci>v_r1</ci>
                    <ci>v_r2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P3_NCX</ci>
                <apply>
                    <minus/>
                    <ci>v_r2</ci>
                    <ci>v_r3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P4_NCX</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_r4</ci>
                    </apply>
                    <ci>v_r3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P5_NCX</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_r5</ci>
                    </apply>
                    <ci>v_r4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_P6_NCX</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_r6</ci>
                    </apply>
                    <ci>v_r5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_Cae</ci>
                </apply>
                <ci>v_Cae</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_Cai</ci>
                </apply>
                <ci>v_Cai</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_Nae</ci>
                </apply>
                <ci>v_Nae</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_Nai</ci>
                </apply>
                <ci>v_Nai</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_P1_NCX</ci>
                </apply>
                <ci>v_P1_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_P2_NCX</ci>
                </apply>
                <ci>v_P2_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_P3_NCX</ci>
                </apply>
                <ci>v_P3_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_P4_NCX</ci>
                </apply>
                <ci>v_P4_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_P5_NCX</ci>
                </apply>
                <ci>v_P5_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>x_P6_NCX</ci>
                </apply>
                <ci>v_P6_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_mem</ci>
                </apply>
                <ci>I_mem</ci>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="NCX_channel" component_2="NCX_parameters"/>
        <map_variables variable_1="K_1_NCX" variable_2="K_1_NCX"/>
        <map_variables variable_1="K_2_NCX" variable_2="K_2_NCX"/>
        <map_variables variable_1="K_3_NCX" variable_2="K_3_NCX"/>
        <map_variables variable_1="K_4_NCX" variable_2="K_4_NCX"/>
        <map_variables variable_1="K_5_NCX" variable_2="K_5_NCX"/>
        <map_variables variable_1="K_6_NCX" variable_2="K_6_NCX"/>
        <map_variables variable_1="K_Cae" variable_2="K_Cae"/>
        <map_variables variable_1="K_Cai" variable_2="K_Cai"/>
        <map_variables variable_1="K_Nae" variable_2="K_Nae"/>
        <map_variables variable_1="K_Nai" variable_2="K_Nai"/>
        <map_variables variable_1="kappa_1_NCX" variable_2="kappa_1_NCX"/>
        <map_variables variable_1="kappa_2_NCX" variable_2="kappa_2_NCX"/>
        <map_variables variable_1="kappa_3_NCX" variable_2="kappa_3_NCX"/>
        <map_variables variable_1="kappa_4_NCX" variable_2="kappa_4_NCX"/>
        <map_variables variable_1="kappa_5_NCX" variable_2="kappa_5_NCX"/>
        <map_variables variable_1="kappa_6_NCX" variable_2="kappa_6_NCX"/>
        <map_variables variable_1="nNae_NCX" variable_2="nNae_NCX"/>
        <map_variables variable_1="nNai_NCX" variable_2="nNai_NCX"/>
        <map_variables variable_1="zf_NCX" variable_2="zf_NCX"/>
        <map_variables variable_1="zr_NCX" variable_2="zr_NCX"/>
    </connection>
    <connection>
        <map_components component_1="NCX_channel" component_2="environment"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="C_m" variable_2="C_m"/>
        <map_variables variable_1="x_Cae_global" variable_2="x_Cae"/>
        <map_variables variable_1="x_Cae" variable_2="x_Cae_mNCX"/>
        <map_variables variable_1="x_Cai_global" variable_2="x_Cai"/>
        <map_variables variable_1="x_Cai" variable_2="x_Cai_mNCX"/>
        <map_variables variable_1="x_Nae_global" variable_2="x_Nae"/>
        <map_variables variable_1="x_Nae" variable_2="x_Nae_mNCX"/>
        <map_variables variable_1="x_Nai_global" variable_2="x_Nai"/>
        <map_variables variable_1="x_Nai" variable_2="x_Nai_mNCX"/>
        <map_variables variable_1="x_P1_NCX_global" variable_2="x_P1_NCX"/>
        <map_variables variable_1="x_P1_NCX" variable_2="x_P1_NCX_mNCX"/>
        <map_variables variable_1="x_P2_NCX_global" variable_2="x_P2_NCX"/>
        <map_variables variable_1="x_P2_NCX" variable_2="x_P2_NCX_mNCX"/>
        <map_variables variable_1="x_P3_NCX_global" variable_2="x_P3_NCX"/>
        <map_variables variable_1="x_P3_NCX" variable_2="x_P3_NCX_mNCX"/>
        <map_variables variable_1="x_P4_NCX_global" variable_2="x_P4_NCX"/>
        <map_variables variable_1="x_P4_NCX" variable_2="x_P4_NCX_mNCX"/>
        <map_variables variable_1="x_P5_NCX_global" variable_2="x_P5_NCX"/>
        <map_variables variable_1="x_P5_NCX" variable_2="x_P5_NCX_mNCX"/>
        <map_variables variable_1="x_P6_NCX_global" variable_2="x_P6_NCX"/>
        <map_variables variable_1="x_P6_NCX" variable_2="x_P6_NCX_mNCX"/>
        <map_variables variable_1="q_mem_global" variable_2="q_mem"/>
        <map_variables variable_1="q_mem" variable_2="q_mem_mNCX"/>
    </connection>
</model>