Location: BG_NCX @ 7f4a0a947226 / BG_NCX.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-04-20 11:21:33+12:00
Desc:
storing gate particle number in comp environment
Permanent Source URI:
https://models.physiomeproject.org/workspace/828/rawfile/7f4a0a947226d62246af5497cec3a3d315050674/BG_NCX.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_NCX_only" 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="units_and_constants/units_BG.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="fmol_per_sec" units_ref="fmol_per_sec"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="J_per_C" units_ref="J_per_C"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="fA" units_ref="fA"/>
    </import>
    <component name="environment">
        <variable initial_value="0" name="t" public_interface="out" units="second"/>
        <variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
        <variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
        <variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
        <variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
        <variable initial_value="9.3276" name="q_Ca_o" public_interface="out" units="fmol"/>
        <variable initial_value="0.00456" name="q_Ca_i" public_interface="out" units="fmol"/>
        <variable initial_value="725.48" name="q_Na_o" public_interface="out" units="fmol"/>
        <variable initial_value="380" name="q_Na_i" public_interface="out" units="fmol"/>
        <variable initial_value="0.000103509" name="q_P1_NCX" public_interface="out" units="fmol"/>
        <variable initial_value="0.000103509" name="q_P2_NCX" public_interface="out" units="fmol"/>
        <variable initial_value="0.000103509" name="q_P3_NCX" public_interface="out" units="fmol"/>
        <variable initial_value="0.000103509" name="q_P4_NCX" public_interface="out" units="fmol"/>
        <variable initial_value="0.000103509" name="q_P5_NCX" public_interface="out" units="fmol"/>
        <variable initial_value="0.000103509" name="q_P6_NCX" public_interface="out" units="fmol"/>
        <variable name="v_Ca_o_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Ca_i_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Na_o_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Na_i_NCX" public_interface="in" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
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                <eq/>
                <apply>
                    <diff/>
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                        <ci>t</ci>
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                <ci>v_Ca_o_NCX</ci>
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            <apply>
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                    <diff/>
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                <ci>v_Ca_i_NCX</ci>
            </apply>
            <apply>
                <eq/>
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                    <diff/>
                    <bvar>
                        <ci>t</ci>
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                    <ci>q_Na_o</ci>
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                <ci>v_Na_o_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Na_i</ci>
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                <ci>v_Na_i_NCX</ci>
            </apply>
        </math>
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        <variable name="I_mem_NCX" public_interface="in" units="fA"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_mem</ci>
                </apply>
                <ci>I_mem_NCX</ci>
            </apply>
        </math>
    </component>
    <component name="NCX_parameters">
        <variable initial_value="160144852.2746" name="K_1_NCX" public_interface="out" units="per_fmol"/>
        <variable initial_value="407.3479" name="K_2_NCX" public_interface="out" units="per_fmol"/>
        <variable initial_value="22191.7214" name="K_3_NCX" public_interface="out" units="per_fmol"/>
        <variable initial_value="119580.5289" name="K_4_NCX" public_interface="out" units="per_fmol"/>
        <variable initial_value="10363474.1803" name="K_5_NCX" public_interface="out" units="per_fmol"/>
        <variable initial_value="199.44" name="K_6_NCX" public_interface="out" units="per_fmol"/>
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        <variable initial_value="0.022218" name="K_Ca_i" public_interface="out" units="per_fmol"/>
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        <variable initial_value="0.0024108" name="K_Na_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="256862.245" name="kappa_1_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="21141816.1231" name="kappa_2_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="6834.2872" name="kappa_3_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="21141816.1231" name="kappa_4_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="256862.245" name="kappa_5_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.7753" name="kappa_6_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="3" name="nNa_o_NCX" public_interface="out" units="dimensionless"/>
        <variable initial_value="3" name="nNa_i_NCX" public_interface="out" units="dimensionless"/>
        <variable initial_value="-0.55679" name="zf_NCX" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.44321" name="zr_NCX" public_interface="out" units="dimensionless"/>
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    <component name="NCX">
        <variable name="t" public_interface="in" units="second"/>
        <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"/>
        <variable name="C_m" public_interface="in" units="fF"/>
        <variable name="K_1_NCX" public_interface="in" units="per_fmol"/>
        <variable name="K_2_NCX" public_interface="in" units="per_fmol"/>
        <variable name="K_3_NCX" public_interface="in" units="per_fmol"/>
        <variable name="K_4_NCX" public_interface="in" units="per_fmol"/>
        <variable name="K_5_NCX" public_interface="in" units="per_fmol"/>
        <variable name="K_6_NCX" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_o" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
        <variable name="K_Na_o" public_interface="in" units="per_fmol"/>
        <variable name="K_Na_i" public_interface="in" units="per_fmol"/>
        <variable name="kappa_1_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_2_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_3_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_4_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_5_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_6_NCX" public_interface="in" units="fmol_per_sec"/>
        <variable name="nNa_o_NCX" public_interface="in" units="dimensionless"/>
        <variable name="nNa_i_NCX" public_interface="in" units="dimensionless"/>
        <variable name="zf_NCX" public_interface="in" units="dimensionless"/>
        <variable name="zr_NCX" public_interface="in" units="dimensionless"/>
        <variable name="q_Ca_o" public_interface="in" units="fmol"/>
        <variable name="q_Ca_i" public_interface="in" units="fmol"/>
        <variable name="q_Na_o" public_interface="in" units="fmol"/>
        <variable name="q_Na_i" public_interface="in" units="fmol"/>
        <variable name="q_P1_NCX" public_interface="in" units="fmol"/>
        <variable name="q_P2_NCX" public_interface="in" units="fmol"/>
        <variable name="q_P3_NCX" public_interface="in" units="fmol"/>
        <variable name="q_P4_NCX" public_interface="in" units="fmol"/>
        <variable name="q_P5_NCX" public_interface="in" units="fmol"/>
        <variable name="q_P6_NCX" public_interface="in" units="fmol"/>
        <variable name="q_mem" public_interface="in" units="fC"/>
        <variable name="mu_Ca_o" units="J_per_mol"/>
        <variable name="mu_Ca_i" units="J_per_mol"/>
        <variable name="mu_Na_o" units="J_per_mol"/>
        <variable name="mu_Na_i" units="J_per_mol"/>
        <variable name="mu_P1_NCX" units="J_per_mol"/>
        <variable name="mu_P2_NCX" units="J_per_mol"/>
        <variable name="mu_P3_NCX" units="J_per_mol"/>
        <variable name="mu_P4_NCX" units="J_per_mol"/>
        <variable name="mu_P5_NCX" units="J_per_mol"/>
        <variable name="mu_P6_NCX" units="J_per_mol"/>
        <variable name="v_Ca_o_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_Ca_i_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_Na_o_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_Na_i_NCX" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_P1_NCX" units="fmol_per_sec"/>
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        <variable name="v_P3_NCX" units="fmol_per_sec"/>
        <variable name="v_P4_NCX" units="fmol_per_sec"/>
        <variable name="v_P5_NCX" units="fmol_per_sec"/>
        <variable name="v_P6_NCX" units="fmol_per_sec"/>
        <variable name="Af_r1" units="J_per_mol"/>
        <variable name="Ar_r1" units="J_per_mol"/>
        <variable name="v_r1" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_r2" units="J_per_mol"/>
        <variable name="Ar_r2" units="J_per_mol"/>
        <variable name="v_r2" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_r3" units="J_per_mol"/>
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        <variable name="Af_r6" units="J_per_mol"/>
        <variable name="Ar_r6" units="J_per_mol"/>
        <variable name="v_r6" public_interface="out" units="fmol_per_sec"/>
        <variable name="V_mem" units="volt"/>
        <variable name="I_mem_NCX" public_interface="out" units="fA"/>
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                        <plus/>
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                        <ln/>
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                <ci>mu_Na_i</ci>
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                        <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>nNa_i_NCX</ci>
                        <ci>mu_Na_i</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_Ca_o</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r5</ci>
                <ci>mu_P6_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_r6</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                        <apply>
                            <ln/>
                            <apply>
                                <times/>
                                <ci>K_1_NCX</ci>
                                <ci>q_P1_NCX</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <ci>zr_NCX</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Ca_o_NCX</ci>
                <ci>v_r4</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_Ca_i_NCX</ci>
                <apply>
                    <minus/>
                    <ci>v_r2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Na_o_NCX</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <ci>nNa_o_NCX</ci>
                    </apply>
                    <ci>v_r5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Na_i_NCX</ci>
                <apply>
                    <times/>
                    <ci>nNa_i_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>q_P1_NCX</ci>
                </apply>
                <ci>v_P1_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P2_NCX</ci>
                </apply>
                <ci>v_P2_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P3_NCX</ci>
                </apply>
                <ci>v_P3_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P4_NCX</ci>
                </apply>
                <ci>v_P4_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P5_NCX</ci>
                </apply>
                <ci>v_P5_NCX</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_P6_NCX</ci>
                </apply>
                <ci>v_P6_NCX</ci>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="NCX" 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_Ca_o" variable_2="K_Ca_o"/>
        <map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
        <map_variables variable_1="K_Na_o" variable_2="K_Na_o"/>
        <map_variables variable_1="K_Na_i" variable_2="K_Na_i"/>
        <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="nNa_o_NCX" variable_2="nNa_o_NCX"/>
        <map_variables variable_1="nNa_i_NCX" variable_2="nNa_i_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" 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="q_Ca_o" variable_2="q_Ca_o"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
        <map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
        <map_variables variable_1="q_Na_i" variable_2="q_Na_i"/>
        <map_variables variable_1="q_P1_NCX" variable_2="q_P1_NCX"/>
        <map_variables variable_1="q_P2_NCX" variable_2="q_P2_NCX"/>
        <map_variables variable_1="q_P3_NCX" variable_2="q_P3_NCX"/>
        <map_variables variable_1="q_P4_NCX" variable_2="q_P4_NCX"/>
        <map_variables variable_1="q_P5_NCX" variable_2="q_P5_NCX"/>
        <map_variables variable_1="q_P6_NCX" variable_2="q_P6_NCX"/>
        <map_variables variable_1="v_Ca_o_NCX" variable_2="v_Ca_o_NCX"/>
        <map_variables variable_1="v_Ca_i_NCX" variable_2="v_Ca_i_NCX"/>
        <map_variables variable_1="v_Na_o_NCX" variable_2="v_Na_o_NCX"/>
        <map_variables variable_1="v_Na_i_NCX" variable_2="v_Na_i_NCX"/>
        <map_variables variable_1="q_mem" variable_2="q_mem"/>
        <map_variables variable_1="I_mem_NCX" variable_2="I_mem_NCX"/>
    </connection>
</model>