- Author:
- Andy Lo <alo006@aucklanduni.ac.nz>
- Date:
- 2023-06-11 22:30:49+12:00
- Desc:
- N/A
- Permanent Source URI:
- http://models.cellml.org/workspace/b13/rawfile/077458727c35644c994839e26102b527444555c2/BG_NCX_sl.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>
<import xlink:href="units_and_constants/constants_BG.cellml">
<component component_ref="constants" name="constants"/>
</import>
<component name="environment">
<variable initial_value="0" name="t" public_interface="out" units="second"/>
<variable initial_value="-0.07" name="V_mem_clamp" public_interface="out" units="volt"/>
<variable initial_value="9.3276" name="q_Ca_o" public_interface="out" units="fmol"/>
<variable initial_value="0.0001403" name="q_Ca_sl" public_interface="out" units="fmol"/>
<variable initial_value="725.48" name="q_Na_o" public_interface="out" units="fmol"/>
<variable initial_value="11.6923" name="q_Na_sl" public_interface="out" units="fmol"/>
<variable initial_value="0.00009212301" name="q_P1_NCX_sl" public_interface="out" units="fmol"/>
<variable initial_value="0.00009212301" name="q_P2_NCX_sl" public_interface="out" units="fmol"/>
<variable initial_value="0.00009212301" name="q_P3_NCX_sl" public_interface="out" units="fmol"/>
<variable initial_value="0.00009212301" name="q_P4_NCX_sl" public_interface="out" units="fmol"/>
<variable initial_value="0.00009212301" name="q_P5_NCX_sl" public_interface="out" units="fmol"/>
<variable initial_value="0.00009212301" name="q_P6_NCX_sl" public_interface="out" units="fmol"/>
<variable name="v_Ca_o_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Ca_sl_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Na_o_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Na_sl_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_o</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_Ca_o_NCX_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_sl</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_Ca_sl_NCX_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_o</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_Na_o_NCX_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_sl</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>v_Na_sl_NCX_sl</ci>
</apply>
</apply>
</math>
</component>
<component name="NCX_sl_parameters">
<variable initial_value="417309" name="kappa_1_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.39522e+07" name="kappa_2_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="472.755" name="kappa_3_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.39522e+07" name="kappa_4_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="417309" name="kappa_5_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.370405" name="kappa_6_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.93394e+08" name="K_1_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="14.1045" name="K_2_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="263471" name="K_3_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="2.39875e+06" name="K_4_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="2373.73" name="K_5_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="956.214" name="K_6_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0137751" name="K_Na_sl_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="10.2446" name="K_Ca_sl_NCX_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="0.470129" name="K_Na_o_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="7572.91" name="K_Ca_o_sl" public_interface="out" units="per_fmol"/>
<variable initial_value="3" name="nNa_o_NCX_sl" public_interface="out" units="dimensionless"/>
<variable initial_value="3" name="nNa_sl_NCX_sl" public_interface="out" units="dimensionless"/>
<variable initial_value="-0.55679" name="zf_NCX_sl" public_interface="out" units="dimensionless"/>
<variable initial_value="0.44321" name="zr_NCX_sl" public_interface="out" units="dimensionless"/>
</component>
<component name="NCX_sl">
<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="K_1_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_2_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_3_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_4_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_5_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_6_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_Ca_o_sl" public_interface="in" units="per_fmol"/>
<variable name="K_Ca_sl_NCX_sl" public_interface="in" units="per_fmol"/>
<variable name="K_Na_o_sl" public_interface="in" units="per_fmol"/>
<variable name="K_Na_sl_sl" public_interface="in" units="per_fmol"/>
<variable name="kappa_1_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_2_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_3_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_4_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_5_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_6_NCX_sl" public_interface="in" units="fmol_per_sec"/>
<variable name="nNa_o_NCX_sl" public_interface="in" units="dimensionless"/>
<variable name="nNa_sl_NCX_sl" public_interface="in" units="dimensionless"/>
<variable name="zf_NCX_sl" public_interface="in" units="dimensionless"/>
<variable name="zr_NCX_sl" public_interface="in" units="dimensionless"/>
<variable name="q_Ca_o" public_interface="in" units="fmol"/>
<variable name="q_Ca_sl" public_interface="in" units="fmol"/>
<variable name="q_Na_o" public_interface="in" units="fmol"/>
<variable name="q_Na_sl" public_interface="in" units="fmol"/>
<variable name="V_mem_clamp" public_interface="in" units="volt"/>
<variable name="q_P1_NCX_sl" public_interface="in" units="fmol"/>
<variable name="q_P2_NCX_sl" public_interface="in" units="fmol"/>
<variable name="q_P3_NCX_sl" public_interface="in" units="fmol"/>
<variable name="q_P4_NCX_sl" public_interface="in" units="fmol"/>
<variable name="q_P5_NCX_sl" public_interface="in" units="fmol"/>
<variable name="q_P6_NCX_sl" public_interface="in" units="fmol"/>
<variable name="mu_Ca_o_sl" units="J_per_mol"/>
<variable name="mu_Ca_sl_sl" units="J_per_mol"/>
<variable name="mu_Na_o_sl" units="J_per_mol"/>
<variable name="mu_Na_sl_sl" units="J_per_mol"/>
<variable name="mu_P1_NCX_sl" units="J_per_mol"/>
<variable name="mu_P2_NCX_sl" units="J_per_mol"/>
<variable name="mu_P3_NCX_sl" units="J_per_mol"/>
<variable name="mu_P4_NCX_sl" units="J_per_mol"/>
<variable name="mu_P5_NCX_sl" units="J_per_mol"/>
<variable name="mu_P6_NCX_sl" units="J_per_mol"/>
<variable name="v_Ca_o_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="v_Ca_sl_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="v_Na_o_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="v_Na_sl_NCX_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="v_P1_NCX_sl" units="fmol_per_sec"/>
<variable name="v_P2_NCX_sl" units="fmol_per_sec"/>
<variable name="v_P3_NCX_sl" units="fmol_per_sec"/>
<variable name="v_P4_NCX_sl" units="fmol_per_sec"/>
<variable name="v_P5_NCX_sl" units="fmol_per_sec"/>
<variable name="v_P6_NCX_sl" units="fmol_per_sec"/>
<variable name="Af_r1_sl" units="J_per_mol"/>
<variable name="Ar_r1_sl" units="J_per_mol"/>
<variable name="v_r1_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_r2_sl" units="J_per_mol"/>
<variable name="Ar_r2_sl" units="J_per_mol"/>
<variable name="v_r2_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_r3_sl" units="J_per_mol"/>
<variable name="Ar_r3_sl" units="J_per_mol"/>
<variable name="v_r3_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_r4_sl" units="J_per_mol"/>
<variable name="Ar_r4_sl" units="J_per_mol"/>
<variable name="v_r4_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_r5_sl" units="J_per_mol"/>
<variable name="Ar_r5_sl" units="J_per_mol"/>
<variable name="v_r5_sl" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_r6_sl" units="J_per_mol"/>
<variable name="Ar_r6_sl" units="J_per_mol"/>
<variable name="v_r6_sl" public_interface="out" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_Ca_o_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_o_sl</ci>
<ci>q_Ca_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Ca_sl_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_sl_NCX_sl</ci>
<ci>q_Ca_sl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Na_o_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_o_sl</ci>
<ci>q_Na_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Na_sl_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_sl_sl</ci>
<ci>q_Na_sl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P1_NCX_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_1_NCX_sl</ci>
<ci>q_P1_NCX_sl</ci>
</apply>
</apply>
</apply>
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<apply>
<eq/>
<ci>mu_P2_NCX_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_2_NCX_sl</ci>
<ci>q_P2_NCX_sl</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P3_NCX_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_3_NCX_sl</ci>
<ci>q_P3_NCX_sl</ci>
</apply>
</apply>
</apply>
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<apply>
<eq/>
<ci>mu_P4_NCX_sl</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_4_NCX_sl</ci>
<ci>q_P4_NCX_sl</ci>
</apply>
</apply>
</apply>
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<apply>
<eq/>
<ci>mu_P5_NCX_sl</ci>
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<times/>
<ci>R</ci>
<ci>T</ci>
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<ln/>
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<times/>
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<apply>
<eq/>
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<times/>
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<ci>T</ci>
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<ln/>
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<times/>
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<ci>q_P6_NCX_sl</ci>
</apply>
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<apply>
<eq/>
<ci>v_r1_sl</ci>
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<times/>
<ci>kappa_1_NCX_sl</ci>
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<minus/>
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<exp/>
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<divide/>
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<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_r1_sl</ci>
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<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
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<eq/>
<ci>v_r2_sl</ci>
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<times/>
<ci>kappa_2_NCX_sl</ci>
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<minus/>
<apply>
<exp/>
<apply>
<divide/>
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<times/>
<ci>R</ci>
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</apply>
</apply>
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<apply>
<exp/>
<apply>
<divide/>
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<apply>
<times/>
<ci>R</ci>
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</apply>
</apply>
</apply>
</apply>
</apply>
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<apply>
<eq/>
<ci>v_r3_sl</ci>
<apply>
<times/>
<ci>kappa_3_NCX_sl</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
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<times/>
<ci>R</ci>
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</apply>
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<divide/>
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<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_r4_sl</ci>
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<times/>
<ci>kappa_4_NCX_sl</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_r4_sl</ci>
<apply>
<times/>
<ci>R</ci>
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<divide/>
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<times/>
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</apply>
</apply>
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<ci>v_r5_sl</ci>
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<times/>
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<minus/>
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<exp/>
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<divide/>
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<times/>
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<divide/>
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<times/>
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<eq/>
<ci>v_r6_sl</ci>
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<times/>
<ci>kappa_6_NCX_sl</ci>
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<minus/>
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<exp/>
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<divide/>
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<times/>
<ci>R</ci>
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</apply>
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<exp/>
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<divide/>
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<times/>
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<eq/>
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<ci>mu_P1_NCX_sl</ci>
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<eq/>
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<plus/>
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<ci>mu_Ca_sl_sl</ci>
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<eq/>
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<plus/>
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<times/>
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<plus/>
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<times/>
<ci>R</ci>
<ci>T</ci>
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<ln/>
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<times/>
<ci>K_6_NCX_sl</ci>
<ci>q_P6_NCX_sl</ci>
</apply>
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<times/>
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<eq/>
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<plus/>
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<times/>
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<ci>mu_P3_NCX_sl</ci>
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<plus/>
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<plus/>
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<ln/>
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<times/>
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</apply>
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<times/>
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<minus/>
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<times/>
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<minus/>
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<times/>
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</apply>
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<eq/>
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<minus/>
<ci>v_r6_sl</ci>
<ci>v_r1_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P2_NCX_sl</ci>
<apply>
<minus/>
<ci>v_r1_sl</ci>
<ci>v_r2_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P3_NCX_sl</ci>
<apply>
<minus/>
<ci>v_r2_sl</ci>
<ci>v_r3_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P4_NCX_sl</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r4_sl</ci>
</apply>
<ci>v_r3_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P5_NCX_sl</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r5_sl</ci>
</apply>
<ci>v_r4_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P6_NCX_sl</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_r6_sl</ci>
</apply>
<ci>v_r5_sl</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P1_NCX_sl</ci>
</apply>
<ci>v_P1_NCX_sl</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P2_NCX_sl</ci>
</apply>
<ci>v_P2_NCX_sl</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P3_NCX_sl</ci>
</apply>
<ci>v_P3_NCX_sl</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P4_NCX_sl</ci>
</apply>
<ci>v_P4_NCX_sl</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P5_NCX_sl</ci>
</apply>
<ci>v_P5_NCX_sl</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_P6_NCX_sl</ci>
</apply>
<ci>v_P6_NCX_sl</ci>
</apply>
</math>
</component>
<connection>
<map_components component_1="NCX_sl" component_2="NCX_sl_parameters"/>
<map_variables variable_1="K_1_NCX_sl" variable_2="K_1_NCX_sl"/>
<map_variables variable_1="K_2_NCX_sl" variable_2="K_2_NCX_sl"/>
<map_variables variable_1="K_3_NCX_sl" variable_2="K_3_NCX_sl"/>
<map_variables variable_1="K_4_NCX_sl" variable_2="K_4_NCX_sl"/>
<map_variables variable_1="K_5_NCX_sl" variable_2="K_5_NCX_sl"/>
<map_variables variable_1="K_6_NCX_sl" variable_2="K_6_NCX_sl"/>
<map_variables variable_1="K_Ca_o_sl" variable_2="K_Ca_o_sl"/>
<map_variables variable_1="K_Ca_sl_NCX_sl" variable_2="K_Ca_sl_NCX_sl"/>
<map_variables variable_1="K_Na_o_sl" variable_2="K_Na_o_sl"/>
<map_variables variable_1="K_Na_sl_sl" variable_2="K_Na_sl_sl"/>
<map_variables variable_1="kappa_1_NCX_sl" variable_2="kappa_1_NCX_sl"/>
<map_variables variable_1="kappa_2_NCX_sl" variable_2="kappa_2_NCX_sl"/>
<map_variables variable_1="kappa_3_NCX_sl" variable_2="kappa_3_NCX_sl"/>
<map_variables variable_1="kappa_4_NCX_sl" variable_2="kappa_4_NCX_sl"/>
<map_variables variable_1="kappa_5_NCX_sl" variable_2="kappa_5_NCX_sl"/>
<map_variables variable_1="kappa_6_NCX_sl" variable_2="kappa_6_NCX_sl"/>
<map_variables variable_1="nNa_o_NCX_sl" variable_2="nNa_o_NCX_sl"/>
<map_variables variable_1="nNa_sl_NCX_sl" variable_2="nNa_sl_NCX_sl"/>
<map_variables variable_1="zf_NCX_sl" variable_2="zf_NCX_sl"/>
<map_variables variable_1="zr_NCX_sl" variable_2="zr_NCX_sl"/>
</connection>
<connection>
<map_components component_1="NCX_sl" component_2="environment"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_Ca_o" variable_2="q_Ca_o"/>
<map_variables variable_1="q_Ca_sl" variable_2="q_Ca_sl"/>
<map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
<map_variables variable_1="q_Na_sl" variable_2="q_Na_sl"/>
<map_variables variable_1="q_P1_NCX_sl" variable_2="q_P1_NCX_sl"/>
<map_variables variable_1="q_P2_NCX_sl" variable_2="q_P2_NCX_sl"/>
<map_variables variable_1="q_P3_NCX_sl" variable_2="q_P3_NCX_sl"/>
<map_variables variable_1="q_P4_NCX_sl" variable_2="q_P4_NCX_sl"/>
<map_variables variable_1="q_P5_NCX_sl" variable_2="q_P5_NCX_sl"/>
<map_variables variable_1="q_P6_NCX_sl" variable_2="q_P6_NCX_sl"/>
<map_variables variable_1="v_Ca_o_NCX_sl" variable_2="v_Ca_o_NCX_sl"/>
<map_variables variable_1="v_Ca_sl_NCX_sl" variable_2="v_Ca_sl_NCX_sl"/>
<map_variables variable_1="v_Na_o_NCX_sl" variable_2="v_Na_o_NCX_sl"/>
<map_variables variable_1="v_Na_sl_NCX_sl" variable_2="v_Na_sl_NCX_sl"/>
<map_variables variable_1="V_mem_clamp" variable_2="V_mem_clamp"/>
</connection>
<connection>
<map_components component_1="constants" component_2="NCX_sl"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
</model>
