- 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'?>
<model name="cardiac_AP_NCX_only" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#">
<units name="J_per_K_per_mol">
<unit units="joule"/>
<unit exponent="-1" units="kelvin"/>
<unit exponent="-1" units="mole"/>
</units>
<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"/>
</units>
<units name="fC">
<unit prefix="femto" units="coulomb"/>
</units>
<units name="fA">
<unit prefix="femto" units="ampere"/>
</units>
<units name="J_per_mol">
<unit units="joule"/>
<unit exponent="-1" units="mole"/>
</units>
<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="x_Cae_init" units="fmol"/>
<variable initial_value="0.00456" name="x_Cai_init" units="fmol"/>
<variable initial_value="725.48" name="x_Nae_init" units="fmol"/>
<variable initial_value="380" name="x_Nai_init" units="fmol"/>
<variable initial_value="0.00072174" name="x_P1_NCX_init" units="fmol"/>
<variable initial_value="0.00072174" name="x_P2_NCX_init" units="fmol"/>
<variable initial_value="0.00072174" name="x_P3_NCX_init" units="fmol"/>
<variable initial_value="0.00072174" name="x_P4_NCX_init" units="fmol"/>
<variable initial_value="0.00072174" name="x_P5_NCX_init" units="fmol"/>
<variable initial_value="0.00072174" name="x_P6_NCX_init" units="fmol"/>
<variable name="x_Cae_mNCX" public_interface="in" units="fmol"/>
<variable name="x_Cae" public_interface="out" units="fmol"/>
<variable name="x_Cai_mNCX" public_interface="in" units="fmol"/>
<variable name="x_Cai" public_interface="out" units="fmol"/>
<variable name="x_Nae_mNCX" public_interface="in" units="fmol"/>
<variable name="x_Nae" public_interface="out" units="fmol"/>
<variable name="x_Nai_mNCX" public_interface="in" units="fmol"/>
<variable name="x_Nai" public_interface="out" units="fmol"/>
<variable name="x_P1_NCX_mNCX" public_interface="in" units="fmol"/>
<variable name="x_P1_NCX" public_interface="out" units="fmol"/>
<variable name="x_P2_NCX_mNCX" public_interface="in" units="fmol"/>
<variable name="x_P2_NCX" public_interface="out" units="fmol"/>
<variable name="x_P3_NCX_mNCX" public_interface="in" units="fmol"/>
<variable name="x_P3_NCX" public_interface="out" units="fmol"/>
<variable name="x_P4_NCX_mNCX" public_interface="in" units="fmol"/>
<variable name="x_P4_NCX" public_interface="out" units="fmol"/>
<variable name="x_P5_NCX_mNCX" public_interface="in" units="fmol"/>
<variable name="x_P5_NCX" public_interface="out" units="fmol"/>
<variable name="x_P6_NCX_mNCX" public_interface="in" units="fmol"/>
<variable name="x_P6_NCX" public_interface="out" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>x_Cae</ci>
<apply>
<plus/>
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<ci>x_Cae_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Cai</ci>
<apply>
<plus/>
<ci>x_Cai_init</ci>
<ci>x_Cai_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Nae</ci>
<apply>
<plus/>
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<ci>x_Nae_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Nai</ci>
<apply>
<plus/>
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<ci>x_Nai_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P1_NCX</ci>
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<plus/>
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<ci>x_P1_NCX_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P2_NCX</ci>
<apply>
<plus/>
<ci>x_P2_NCX_init</ci>
<ci>x_P2_NCX_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P3_NCX</ci>
<apply>
<plus/>
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<ci>x_P3_NCX_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P4_NCX</ci>
<apply>
<plus/>
<ci>x_P4_NCX_init</ci>
<ci>x_P4_NCX_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P5_NCX</ci>
<apply>
<plus/>
<ci>x_P5_NCX_init</ci>
<ci>x_P5_NCX_mNCX</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P6_NCX</ci>
<apply>
<plus/>
<ci>x_P6_NCX_init</ci>
<ci>x_P6_NCX_mNCX</ci>
</apply>
</apply>
</math>
<variable initial_value="-13039" name="q_mem_init" units="fC"/>
<variable name="q_mem_mNCX" public_interface="in" units="fC"/>
<variable name="q_mem" public_interface="out" units="fC"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_mem</ci>
<apply>
<plus/>
<ci>q_mem_init</ci>
<ci>q_mem_mNCX</ci>
</apply>
</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"/>
<variable initial_value="0.16293" name="K_Cae" public_interface="out" units="per_fmol"/>
<variable initial_value="0.022218" name="K_Cai" public_interface="out" units="per_fmol"/>
<variable initial_value="0.017678" name="K_Nae" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0024108" name="K_Nai" 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="nNae_NCX" public_interface="out" units="dimensionless"/>
<variable initial_value="3" name="nNai_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"/>
</component>
<component name="NCX_channel">
<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_Cae" public_interface="in" units="per_fmol"/>
<variable name="K_Cai" public_interface="in" units="per_fmol"/>
<variable name="K_Nae" public_interface="in" units="per_fmol"/>
<variable name="K_Nai" 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="nNae_NCX" public_interface="in" units="dimensionless"/>
<variable name="nNai_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="x_Cae_global" public_interface="in" units="fmol"/>
<variable name="x_Cai_global" public_interface="in" units="fmol"/>
<variable name="x_Nae_global" public_interface="in" units="fmol"/>
<variable name="x_Nai_global" public_interface="in" units="fmol"/>
<variable name="x_P1_NCX_global" public_interface="in" units="fmol"/>
<variable name="x_P2_NCX_global" public_interface="in" units="fmol"/>
<variable name="x_P3_NCX_global" public_interface="in" units="fmol"/>
<variable name="x_P4_NCX_global" public_interface="in" units="fmol"/>
<variable name="x_P5_NCX_global" public_interface="in" units="fmol"/>
<variable name="x_P6_NCX_global" public_interface="in" units="fmol"/>
<variable initial_value="0" name="x_Cae" public_interface="out" units="fmol"/>
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<variable initial_value="0" name="x_Nae" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_Nai" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_P1_NCX" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_P2_NCX" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_P3_NCX" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_P4_NCX" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_P5_NCX" public_interface="out" units="fmol"/>
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<variable name="q_mem_global" public_interface="in" units="fC"/>
<variable initial_value="0" name="q_mem" public_interface="out" units="fC"/>
<variable name="mu_Cae" units="J_per_mol"/>
<variable name="mu_Cai" units="J_per_mol"/>
<variable name="mu_Nae" units="J_per_mol"/>
<variable name="mu_Nai" 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_Cae" units="fmol_per_sec"/>
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<variable name="v_P5_NCX" units="fmol_per_sec"/>
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<variable name="v_r6" units="fmol_per_sec"/>
<variable name="V_mem" units="volt"/>
<variable name="I_mem" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
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<divide/>
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<plus/>
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<minus/>
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<ci>mu_Cai</ci>
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<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>
