Location: BG_fast_Na @ ac50df147914 / BG_Na_channel.cellml
- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-03-02 15:36:25+13:00
- Desc:
- Fixing param finder equations and z units and Nai to Na_i
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/826/rawfile/ac50df147914b761c6fd4ecd0630a2b7cbc4876f/BG_Na_channel.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_Na_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="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 name="v_Na" 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_Na_o</ci>
</apply>
<ci>v_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Na</ci>
</apply>
</apply>
</math>
<variable initial_value="-13039" name="q_mem" public_interface="out" units="fC"/>
<variable name="q_mem_mNa" 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>q_mem_mNa</ci>
</apply>
</math>
</component>
<component name="Na_parameters">
<variable initial_value="0.0073376" name="K_000_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="23718.0222" name="K_001_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="17499.8767" name="K_010_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="56566767727.4036" name="K_011_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="1.5633e-05" name="K_100_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="50.5317" name="K_101_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="37.2839" name="K_110_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="120516694.0958" name="K_111_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="9.9918e-08" name="K_200_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="0.32298" name="K_201_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="0.2383" name="K_210_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="770290.0911" name="K_211_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="1.9159e-09" name="K_300_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="0.006193" name="K_301_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0045694" name="K_310_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="14770.0739" name="K_311_Na" public_interface="out" units="per_fmol"/>
<variable initial_value="0.017678" name="K_Na_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0024108" name="K_Na_i" public_interface="out" units="per_fmol"/>
<variable initial_value="32.858" name="kappa_Na" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.045709" name="kappa_h000" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.4141e-08" name="kappa_h001" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="21.4544" name="kappa_h100" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="6.6373e-06" name="kappa_h101" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="3356.675" name="kappa_h200" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0010384" name="kappa_h201" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="175057.5863" name="kappa_h300" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.054157" name="kappa_h301" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.017824" name="kappa_j000" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="7.4736e-09" name="kappa_j010" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="8.3662" name="kappa_j100" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="3.5079e-06" name="kappa_j110" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1308.9427" name="kappa_j200" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.00054883" name="kappa_j210" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="68264.0876" name="kappa_j300" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.028623" name="kappa_j310" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="5117405.6443" name="kappa_m000" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.5832" name="kappa_m001" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.1457" name="kappa_m010" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="6.6381e-07" name="kappa_m011" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1601300127.6001" name="kappa_m100" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="495.389" name="kappa_m101" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="671.4132" name="kappa_m110" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.00020771" name="kappa_m111" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="125266701374.7363" name="kappa_m200" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="38753.3515" name="kappa_m201" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="52523.3901" name="kappa_m210" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.016249" name="kappa_m211" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1" name="zNa" public_interface="out" units="dimensionless"/>
<variable initial_value="-4.1892" name="z_fh" public_interface="out" units="dimensionless"/>
<variable initial_value="-4.0381" name="z_fj" public_interface="out" units="dimensionless"/>
<variable initial_value="0.49541" name="z_fm" public_interface="out" units="dimensionless"/>
<variable initial_value="1.2995" name="z_rh" public_interface="out" units="dimensionless"/>
<variable initial_value="1.4281" name="z_rj" public_interface="out" units="dimensionless"/>
<variable initial_value="-2.4284" name="z_rm" public_interface="out" units="dimensionless"/>
</component>
<component name="Na_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_000_Na" public_interface="in" units="per_fmol"/>
<variable name="K_001_Na" public_interface="in" units="per_fmol"/>
<variable name="K_010_Na" public_interface="in" units="per_fmol"/>
<variable name="K_011_Na" public_interface="in" units="per_fmol"/>
<variable name="K_100_Na" public_interface="in" units="per_fmol"/>
<variable name="K_101_Na" public_interface="in" units="per_fmol"/>
<variable name="K_110_Na" public_interface="in" units="per_fmol"/>
<variable name="K_111_Na" public_interface="in" units="per_fmol"/>
<variable name="K_200_Na" public_interface="in" units="per_fmol"/>
<variable name="K_201_Na" public_interface="in" units="per_fmol"/>
<variable name="K_210_Na" public_interface="in" units="per_fmol"/>
<variable name="K_211_Na" public_interface="in" units="per_fmol"/>
<variable name="K_300_Na" public_interface="in" units="per_fmol"/>
<variable name="K_301_Na" public_interface="in" units="per_fmol"/>
<variable name="K_310_Na" public_interface="in" units="per_fmol"/>
<variable name="K_311_Na" 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_Na" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h000" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h001" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h100" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h101" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h200" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h201" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h300" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_h301" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j000" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j010" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j100" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j110" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j200" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j210" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j300" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_j310" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m000" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m001" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m010" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m011" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m100" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m101" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m110" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m111" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m200" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m201" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m210" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_m211" public_interface="in" units="fmol_per_sec"/>
<variable name="zNa" public_interface="in" units="dimensionless"/>
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<variable initial_value="0.00012033" name="q_S000_Na" units="fmol"/>
<variable initial_value="1.337e-05" name="q_S010_Na" units="fmol"/>
<variable initial_value="4.0111e-05" name="q_S100_Na" units="fmol"/>
<variable initial_value="4.4568e-06" name="q_S110_Na" units="fmol"/>
<variable initial_value="4.4568e-06" name="q_S200_Na" units="fmol"/>
<variable initial_value="4.952e-07" name="q_S210_Na" units="fmol"/>
<variable initial_value="1.6507e-07" name="q_S300_Na" units="fmol"/>
<variable initial_value="1.8341e-08" name="q_S310_Na" units="fmol"/>
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<variable initial_value="1.4856e-06" name="q_S011_Na" units="fmol"/>
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<variable initial_value="2.0379e-09" name="q_S311_Na" units="fmol"/>
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<minus/>
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<minus/>
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<apply>
<times/>
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<minus/>
<ci>zNa</ci>
</apply>
<ci>v_Na</ci>
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<times/>
<ci>z_rm</ci>
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<times/>
<ci>z_fm</ci>
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<times/>
<ci>z_rm</ci>
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<times/>
<ci>z_fm</ci>
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<times/>
<ci>z_rm</ci>
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<times/>
<ci>z_fm</ci>
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<times/>
<ci>z_rm</ci>
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<times/>
<ci>z_fm</ci>
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<times/>
<ci>z_rm</ci>
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<times/>
<ci>z_fm</ci>
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<times/>
<ci>z_rh</ci>
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<times/>
<ci>z_fh</ci>
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<times/>
<ci>z_rh</ci>
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<times/>
<ci>z_fh</ci>
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<times/>
<ci>z_rj</ci>
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<times/>
<ci>z_fj</ci>
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<times/>
<ci>z_rj</ci>
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<times/>
<ci>z_fj</ci>
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<times/>
<ci>z_rj</ci>
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<times/>
<ci>z_fj</ci>
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<times/>
<ci>z_rm</ci>
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<times/>
<ci>z_fm</ci>
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<times/>
<ci>z_rh</ci>
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<times/>
<ci>z_fh</ci>
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<times/>
<ci>z_rh</ci>
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<times/>
<ci>z_fh</ci>
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<times/>
<ci>z_rj</ci>
<ci>v_j000</ci>
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<times/>
<ci>z_fj</ci>
<ci>v_j000</ci>
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<times/>
<ci>z_rm</ci>
<ci>v_m001</ci>
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<times/>
<ci>z_fm</ci>
<ci>v_m001</ci>
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<times/>
<ci>z_rm</ci>
<ci>v_m101</ci>
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<times/>
<ci>z_fm</ci>
<ci>v_m101</ci>
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<times/>
<ci>z_rm</ci>
<ci>v_m011</ci>
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<times/>
<ci>z_fm</ci>
<ci>v_m011</ci>
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<times/>
<ci>z_rm</ci>
<ci>v_m111</ci>
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<times/>
<ci>z_fm</ci>
<ci>v_m111</ci>
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<times/>
<ci>z_rm</ci>
<ci>v_m211</ci>
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<times/>
<ci>z_fm</ci>
<ci>v_m211</ci>
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<times/>
<ci>z_rh</ci>
<ci>v_h001</ci>
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<times/>
<ci>z_fh</ci>
<ci>v_h001</ci>
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<times/>
<ci>z_rh</ci>
<ci>v_h201</ci>
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<times/>
<ci>z_fh</ci>
<ci>v_h201</ci>
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<times/>
<ci>z_rj</ci>
<ci>v_j010</ci>
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<times/>
<ci>z_fj</ci>
<ci>v_j010</ci>
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<times/>
<ci>z_rj</ci>
<ci>v_j110</ci>
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<times/>
<ci>z_fj</ci>
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<times/>
<ci>z_rj</ci>
<ci>v_j210</ci>
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<times/>
<ci>z_fj</ci>
<ci>v_j210</ci>
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<times/>
<ci>z_rj</ci>
<ci>v_j310</ci>
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<times/>
<ci>z_fj</ci>
<ci>v_j310</ci>
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<times/>
<ci>z_rm</ci>
<ci>v_m201</ci>
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<times/>
<ci>z_fm</ci>
<ci>v_m201</ci>
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<times/>
<ci>z_rh</ci>
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<times/>
<ci>z_fh</ci>
<ci>v_h101</ci>
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<times/>
<ci>z_rh</ci>
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<times/>
<ci>z_fh</ci>
<ci>v_h301</ci>
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<eq/>
<ci>mu_Na_o</ci>
<apply>
<times/>
<ci>R</ci>
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<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_o</ci>
<ci>q_Na_o</ci>
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<eq/>
<ci>mu_Na_i</ci>
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<times/>
<ci>R</ci>
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<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_i</ci>
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<eq/>
<ci>mu_S000_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
<apply>
<times/>
<ci>K_000_Na</ci>
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<eq/>
<ci>mu_S001_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
<apply>
<times/>
<ci>K_001_Na</ci>
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<eq/>
<ci>mu_S010_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
<apply>
<times/>
<ci>K_010_Na</ci>
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<eq/>
<ci>mu_S011_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
<apply>
<times/>
<ci>K_011_Na</ci>
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<eq/>
<ci>mu_S100_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
<apply>
<times/>
<ci>K_100_Na</ci>
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<eq/>
<ci>mu_S101_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
<apply>
<times/>
<ci>K_101_Na</ci>
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<eq/>
<ci>mu_S110_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
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<times/>
<ci>K_110_Na</ci>
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<ci>mu_S111_Na</ci>
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<times/>
<ci>R</ci>
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<ln/>
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<times/>
<ci>K_111_Na</ci>
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<ci>mu_S200_Na</ci>
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<ci>R</ci>
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<ln/>
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<times/>
<ci>K_200_Na</ci>
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<ci>mu_S201_Na</ci>
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<ci>R</ci>
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<ln/>
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<times/>
<ci>K_201_Na</ci>
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<ci>mu_S210_Na</ci>
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<ci>R</ci>
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<ci>K_210_Na</ci>
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<ci>mu_S211_Na</ci>
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<ci>K_211_Na</ci>
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<ci>mu_S300_Na</ci>
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<ci>R</ci>
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<ci>mu_S301_Na</ci>
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<ci>K_301_Na</ci>
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<ci>mu_S310_Na</ci>
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<ci>R</ci>
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<ci>mu_S311_Na</ci>
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<ci>v_h000</ci>
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<ci>v_h001</ci>
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<ci>kappa_h001</ci>
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<divide/>
<ci>Af_h001</ci>
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<ci>Ar_h001</ci>
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<ci>v_h100</ci>
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<ci>kappa_h100</ci>
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<divide/>
<ci>Af_h100</ci>
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<ci>v_h101</ci>
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<ci>kappa_h101</ci>
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<ci>Ar_h101</ci>
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<ci>v_h200</ci>
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<ci>kappa_h200</ci>
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<divide/>
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<ci>Ar_h200</ci>
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<ci>v_h201</ci>
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<ci>kappa_h201</ci>
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<ci>Ar_h201</ci>
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<ci>kappa_h300</ci>
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<ci>kappa_j110</ci>
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<ci>kappa_j200</ci>
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<ci>kappa_j210</ci>
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<ci>kappa_j300</ci>
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<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_j310</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_j310</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m000</ci>
<apply>
<times/>
<ci>kappa_m000</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m000</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m000</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m001</ci>
<apply>
<times/>
<ci>kappa_m001</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m001</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m001</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m010</ci>
<apply>
<times/>
<ci>kappa_m010</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m010</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m010</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m011</ci>
<apply>
<times/>
<ci>kappa_m011</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m011</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m011</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m100</ci>
<apply>
<times/>
<ci>kappa_m100</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m100</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m100</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m101</ci>
<apply>
<times/>
<ci>kappa_m101</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m101</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m101</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m110</ci>
<apply>
<times/>
<ci>kappa_m110</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m110</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m110</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m111</ci>
<apply>
<times/>
<ci>kappa_m111</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m111</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m111</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m200</ci>
<apply>
<times/>
<ci>kappa_m200</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m200</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m200</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m201</ci>
<apply>
<times/>
<ci>kappa_m201</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m201</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m201</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m210</ci>
<apply>
<times/>
<ci>kappa_m210</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m210</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m210</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_m211</ci>
<apply>
<times/>
<ci>kappa_m211</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_m211</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_m211</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_Na</ci>
<apply>
<plus/>
<ci>mu_Na_i</ci>
<apply>
<times/>
<ci>zNa</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
<ci>mu_S311_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h000</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_000_Na</ci>
<ci>q_S000_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h001</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_001_Na</ci>
<ci>q_S001_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h100</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_100_Na</ci>
<ci>q_S100_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h101</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_101_Na</ci>
<ci>q_S101_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h200</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_200_Na</ci>
<ci>q_S200_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h201</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_201_Na</ci>
<ci>q_S201_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h300</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_300_Na</ci>
<ci>q_S300_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_h301</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_301_Na</ci>
<ci>q_S301_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j000</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_000_Na</ci>
<ci>q_S000_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j010</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_010_Na</ci>
<ci>q_S010_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j100</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_100_Na</ci>
<ci>q_S100_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j110</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_110_Na</ci>
<ci>q_S110_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j200</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_200_Na</ci>
<ci>q_S200_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j210</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_210_Na</ci>
<ci>q_S210_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j300</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_300_Na</ci>
<ci>q_S300_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_j310</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_310_Na</ci>
<ci>q_S310_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m000</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_000_Na</ci>
<ci>q_S000_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m001</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_001_Na</ci>
<ci>q_S001_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m010</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_010_Na</ci>
<ci>q_S010_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m011</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_011_Na</ci>
<ci>q_S011_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m100</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_100_Na</ci>
<ci>q_S100_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m101</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_101_Na</ci>
<ci>q_S101_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m110</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_110_Na</ci>
<ci>q_S110_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m111</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_111_Na</ci>
<ci>q_S111_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m200</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_200_Na</ci>
<ci>q_S200_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m201</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_201_Na</ci>
<ci>q_S201_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m210</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_210_Na</ci>
<ci>q_S210_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_m211</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_211_Na</ci>
<ci>q_S211_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_fm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Na</ci>
<apply>
<times/>
<ci>zNa</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_Na</ci>
<apply>
<plus/>
<ci>mu_Na_o</ci>
<ci>mu_S311_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h000</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_010_Na</ci>
<ci>q_S010_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h001</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_011_Na</ci>
<ci>q_S011_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h100</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_110_Na</ci>
<ci>q_S110_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h101</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_111_Na</ci>
<ci>q_S111_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h200</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_210_Na</ci>
<ci>q_S210_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h201</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_211_Na</ci>
<ci>q_S211_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h300</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_310_Na</ci>
<ci>q_S310_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_h301</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_311_Na</ci>
<ci>q_S311_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rh</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j000</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_001_Na</ci>
<ci>q_S001_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j010</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_011_Na</ci>
<ci>q_S011_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j100</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_101_Na</ci>
<ci>q_S101_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j110</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_111_Na</ci>
<ci>q_S111_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j200</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_201_Na</ci>
<ci>q_S201_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j210</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_211_Na</ci>
<ci>q_S211_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j300</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_301_Na</ci>
<ci>q_S301_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_j310</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_311_Na</ci>
<ci>q_S311_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rj</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m000</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_100_Na</ci>
<ci>q_S100_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m001</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_101_Na</ci>
<ci>q_S101_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m010</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_110_Na</ci>
<ci>q_S110_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m011</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_111_Na</ci>
<ci>q_S111_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m100</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_200_Na</ci>
<ci>q_S200_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m101</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_201_Na</ci>
<ci>q_S201_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m110</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_210_Na</ci>
<ci>q_S210_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m111</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_211_Na</ci>
<ci>q_S211_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m200</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_300_Na</ci>
<ci>q_S300_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m201</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_301_Na</ci>
<ci>q_S301_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m210</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_310_Na</ci>
<ci>q_S310_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_m211</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_311_Na</ci>
<ci>q_S311_Na</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_rm</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S000_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m000</ci>
</apply>
<ci>v_h000</ci>
</apply>
<ci>v_j000</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S001_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m001</ci>
</apply>
<ci>v_h001</ci>
</apply>
<apply>
<minus/>
<ci>v_j000</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S010_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m010</ci>
</apply>
<ci>v_h000</ci>
</apply>
<ci>v_j010</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S011_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m011</ci>
</apply>
<ci>v_h001</ci>
</apply>
<apply>
<minus/>
<ci>v_j010</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S100_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m000</ci>
<ci>v_m100</ci>
</apply>
<ci>v_h100</ci>
</apply>
<ci>v_j100</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S101_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m001</ci>
<ci>v_m101</ci>
</apply>
<ci>v_h101</ci>
</apply>
<apply>
<minus/>
<ci>v_j100</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S110_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m010</ci>
<ci>v_m110</ci>
</apply>
<ci>v_h100</ci>
</apply>
<ci>v_j110</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S111_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m011</ci>
<ci>v_m111</ci>
</apply>
<ci>v_h101</ci>
</apply>
<apply>
<minus/>
<ci>v_j110</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S200_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m100</ci>
<ci>v_m200</ci>
</apply>
<ci>v_h200</ci>
</apply>
<ci>v_j200</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S201_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m101</ci>
<ci>v_m201</ci>
</apply>
<ci>v_h201</ci>
</apply>
<apply>
<minus/>
<ci>v_j200</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S210_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m110</ci>
<ci>v_m210</ci>
</apply>
<ci>v_h200</ci>
</apply>
<ci>v_j210</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S211_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_m111</ci>
<ci>v_m211</ci>
</apply>
<ci>v_h201</ci>
</apply>
<apply>
<minus/>
<ci>v_j210</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S300_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m200</ci>
<ci>v_h300</ci>
</apply>
<ci>v_j300</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S301_Na</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_m201</ci>
<ci>v_h301</ci>
</apply>
<apply>
<minus/>
<ci>v_j300</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S310_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_m210</ci>
<ci>v_h300</ci>
</apply>
<ci>v_j310</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_S311_Na</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>v_m211</ci>
<ci>v_h301</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_j310</ci>
</apply>
<ci>v_Na</ci>
</apply>
<ci>v_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S000_Na</ci>
</apply>
<ci>v_S000_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S010_Na</ci>
</apply>
<ci>v_S010_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S100_Na</ci>
</apply>
<ci>v_S100_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S110_Na</ci>
</apply>
<ci>v_S110_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S200_Na</ci>
</apply>
<ci>v_S200_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S210_Na</ci>
</apply>
<ci>v_S210_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S300_Na</ci>
</apply>
<ci>v_S300_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S310_Na</ci>
</apply>
<ci>v_S310_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S001_Na</ci>
</apply>
<ci>v_S001_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S011_Na</ci>
</apply>
<ci>v_S011_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S101_Na</ci>
</apply>
<ci>v_S101_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S111_Na</ci>
</apply>
<ci>v_S111_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S201_Na</ci>
</apply>
<ci>v_S201_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S211_Na</ci>
</apply>
<ci>v_S211_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S301_Na</ci>
</apply>
<ci>v_S301_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_S311_Na</ci>
</apply>
<ci>v_S311_Na</ci>
</apply>
<apply>
<eq/>
<ci>v_Na</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>kappa_Na</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Na</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>kappa_Na</ci>
<ci>Am_Na</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<connection>
<map_components component_1="Na_channel" component_2="Na_parameters"/>
<map_variables variable_1="K_000_Na" variable_2="K_000_Na"/>
<map_variables variable_1="K_001_Na" variable_2="K_001_Na"/>
<map_variables variable_1="K_010_Na" variable_2="K_010_Na"/>
<map_variables variable_1="K_011_Na" variable_2="K_011_Na"/>
<map_variables variable_1="K_100_Na" variable_2="K_100_Na"/>
<map_variables variable_1="K_101_Na" variable_2="K_101_Na"/>
<map_variables variable_1="K_110_Na" variable_2="K_110_Na"/>
<map_variables variable_1="K_111_Na" variable_2="K_111_Na"/>
<map_variables variable_1="K_200_Na" variable_2="K_200_Na"/>
<map_variables variable_1="K_201_Na" variable_2="K_201_Na"/>
<map_variables variable_1="K_210_Na" variable_2="K_210_Na"/>
<map_variables variable_1="K_211_Na" variable_2="K_211_Na"/>
<map_variables variable_1="K_300_Na" variable_2="K_300_Na"/>
<map_variables variable_1="K_301_Na" variable_2="K_301_Na"/>
<map_variables variable_1="K_310_Na" variable_2="K_310_Na"/>
<map_variables variable_1="K_311_Na" variable_2="K_311_Na"/>
<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_Na" variable_2="kappa_Na"/>
<map_variables variable_1="kappa_h000" variable_2="kappa_h000"/>
<map_variables variable_1="kappa_h001" variable_2="kappa_h001"/>
<map_variables variable_1="kappa_h100" variable_2="kappa_h100"/>
<map_variables variable_1="kappa_h101" variable_2="kappa_h101"/>
<map_variables variable_1="kappa_h200" variable_2="kappa_h200"/>
<map_variables variable_1="kappa_h201" variable_2="kappa_h201"/>
<map_variables variable_1="kappa_h300" variable_2="kappa_h300"/>
<map_variables variable_1="kappa_h301" variable_2="kappa_h301"/>
<map_variables variable_1="kappa_j000" variable_2="kappa_j000"/>
<map_variables variable_1="kappa_j010" variable_2="kappa_j010"/>
<map_variables variable_1="kappa_j100" variable_2="kappa_j100"/>
<map_variables variable_1="kappa_j110" variable_2="kappa_j110"/>
<map_variables variable_1="kappa_j200" variable_2="kappa_j200"/>
<map_variables variable_1="kappa_j210" variable_2="kappa_j210"/>
<map_variables variable_1="kappa_j300" variable_2="kappa_j300"/>
<map_variables variable_1="kappa_j310" variable_2="kappa_j310"/>
<map_variables variable_1="kappa_m000" variable_2="kappa_m000"/>
<map_variables variable_1="kappa_m001" variable_2="kappa_m001"/>
<map_variables variable_1="kappa_m010" variable_2="kappa_m010"/>
<map_variables variable_1="kappa_m011" variable_2="kappa_m011"/>
<map_variables variable_1="kappa_m100" variable_2="kappa_m100"/>
<map_variables variable_1="kappa_m101" variable_2="kappa_m101"/>
<map_variables variable_1="kappa_m110" variable_2="kappa_m110"/>
<map_variables variable_1="kappa_m111" variable_2="kappa_m111"/>
<map_variables variable_1="kappa_m200" variable_2="kappa_m200"/>
<map_variables variable_1="kappa_m201" variable_2="kappa_m201"/>
<map_variables variable_1="kappa_m210" variable_2="kappa_m210"/>
<map_variables variable_1="kappa_m211" variable_2="kappa_m211"/>
<map_variables variable_1="zNa" variable_2="zNa"/>
<map_variables variable_1="z_fh" variable_2="z_fh"/>
<map_variables variable_1="z_fj" variable_2="z_fj"/>
<map_variables variable_1="z_fm" variable_2="z_fm"/>
<map_variables variable_1="z_rh" variable_2="z_rh"/>
<map_variables variable_1="z_rj" variable_2="z_rj"/>
<map_variables variable_1="z_rm" variable_2="z_rm"/>
</connection>
<connection>
<map_components component_1="Na_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="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_mem" variable_2="q_mem"/>
<map_variables variable_1="I_mem" variable_2="q_mem_mNa"/>
<map_variables variable_1="v_Na" variable_2="v_Na"/>
</connection>
</model>