- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-02-16 14:51:03+13:00
- Desc:
- With major fixes to main code and inclusion of Ca buffers. Results now reproduce Pan AP
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/81b/rawfile/87841eaa9b1cb1829c9503ef28b45a0ada9b7e32/NaK_channel.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_NaK_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="27.9828" name="x_Ke_init" units="fmol"/>
<variable initial_value="5510" name="x_Ki_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="0.0030534" name="x_H_init" units="fmol"/>
<variable initial_value="1.33" name="x_MgADP_init" units="fmol"/>
<variable initial_value="264.1" name="x_MgATP_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P7_init" units="fmol"/>
<variable initial_value="15.0898" name="x_P_i_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P14_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P15_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P1_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P2_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P3_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P4_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P5_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P6_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P10_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P11_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P12_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P13_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P8_init" units="fmol"/>
<variable initial_value="0.0078543" name="x_P9_init" units="fmol"/>
<variable name="x_Ke_mNaK" public_interface="in" units="fmol"/>
<variable name="x_Ke" public_interface="out" units="fmol"/>
<variable name="x_Ki_mNaK" public_interface="in" units="fmol"/>
<variable name="x_Ki" public_interface="out" units="fmol"/>
<variable name="x_Nae_mNaK" public_interface="in" units="fmol"/>
<variable name="x_Nae" public_interface="out" units="fmol"/>
<variable name="x_Nai_mNaK" public_interface="in" units="fmol"/>
<variable name="x_Nai" public_interface="out" units="fmol"/>
<variable name="x_H_mNaK" public_interface="in" units="fmol"/>
<variable name="x_H" public_interface="out" units="fmol"/>
<variable name="x_MgADP_mNaK" public_interface="in" units="fmol"/>
<variable name="x_MgADP" public_interface="out" units="fmol"/>
<variable name="x_MgATP_mNaK" public_interface="in" units="fmol"/>
<variable name="x_MgATP" public_interface="out" units="fmol"/>
<variable name="x_P7_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P7" public_interface="out" units="fmol"/>
<variable name="x_P_i_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P_i" public_interface="out" units="fmol"/>
<variable name="x_P14_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P14" public_interface="out" units="fmol"/>
<variable name="x_P15_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P15" public_interface="out" units="fmol"/>
<variable name="x_P1_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P1" public_interface="out" units="fmol"/>
<variable name="x_P2_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P2" public_interface="out" units="fmol"/>
<variable name="x_P3_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P3" public_interface="out" units="fmol"/>
<variable name="x_P4_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P4" public_interface="out" units="fmol"/>
<variable name="x_P5_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P5" public_interface="out" units="fmol"/>
<variable name="x_P6_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P6" public_interface="out" units="fmol"/>
<variable name="x_P10_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P10" public_interface="out" units="fmol"/>
<variable name="x_P11_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P11" public_interface="out" units="fmol"/>
<variable name="x_P12_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P12" public_interface="out" units="fmol"/>
<variable name="x_P13_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P13" public_interface="out" units="fmol"/>
<variable name="x_P8_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P8" public_interface="out" units="fmol"/>
<variable name="x_P9_mNaK" public_interface="in" units="fmol"/>
<variable name="x_P9" public_interface="out" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>x_Ke</ci>
<apply>
<plus/>
<ci>x_Ke_init</ci>
<ci>x_Ke_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Ki</ci>
<apply>
<plus/>
<ci>x_Ki_init</ci>
<ci>x_Ki_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Nae</ci>
<apply>
<plus/>
<ci>x_Nae_init</ci>
<ci>x_Nae_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_Nai</ci>
<apply>
<plus/>
<ci>x_Nai_init</ci>
<ci>x_Nai_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_H</ci>
<apply>
<plus/>
<ci>x_H_init</ci>
<ci>x_H_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_MgADP</ci>
<apply>
<plus/>
<ci>x_MgADP_init</ci>
<ci>x_MgADP_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_MgATP</ci>
<apply>
<plus/>
<ci>x_MgATP_init</ci>
<ci>x_MgATP_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P7</ci>
<apply>
<plus/>
<ci>x_P7_init</ci>
<ci>x_P7_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P_i</ci>
<apply>
<plus/>
<ci>x_P_i_init</ci>
<ci>x_P_i_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P14</ci>
<apply>
<plus/>
<ci>x_P14_init</ci>
<ci>x_P14_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P15</ci>
<apply>
<plus/>
<ci>x_P15_init</ci>
<ci>x_P15_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P1</ci>
<apply>
<plus/>
<ci>x_P1_init</ci>
<ci>x_P1_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P2</ci>
<apply>
<plus/>
<ci>x_P2_init</ci>
<ci>x_P2_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P3</ci>
<apply>
<plus/>
<ci>x_P3_init</ci>
<ci>x_P3_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P4</ci>
<apply>
<plus/>
<ci>x_P4_init</ci>
<ci>x_P4_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P5</ci>
<apply>
<plus/>
<ci>x_P5_init</ci>
<ci>x_P5_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P6</ci>
<apply>
<plus/>
<ci>x_P6_init</ci>
<ci>x_P6_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P10</ci>
<apply>
<plus/>
<ci>x_P10_init</ci>
<ci>x_P10_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P11</ci>
<apply>
<plus/>
<ci>x_P11_init</ci>
<ci>x_P11_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P12</ci>
<apply>
<plus/>
<ci>x_P12_init</ci>
<ci>x_P12_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P13</ci>
<apply>
<plus/>
<ci>x_P13_init</ci>
<ci>x_P13_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P8</ci>
<apply>
<plus/>
<ci>x_P8_init</ci>
<ci>x_P8_mNaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>x_P9</ci>
<apply>
<plus/>
<ci>x_P9_init</ci>
<ci>x_P9_mNaK</ci>
</apply>
</apply>
</math>
<variable initial_value="-13039" name="q_mem_init" units="fC"/>
<variable name="q_mem_mNaK" 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_mNaK</ci>
</apply>
</apply>
</math>
</component>
<component name="NaK_parameters">
<variable initial_value="5076.1941" name="K_10_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="10.4383" name="K_11_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="1.7361" name="K_12_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="1.155" name="K_13_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="319.1183" name="K_14_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="6250238.4012" name="K_15_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="321178904.6865" name="K_1_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="31093.1227" name="K_2_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="12.0404" name="K_3_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="3.1105" name="K_4_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="3.2141" name="K_5_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="170.6981" name="K_6_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="10036.4321" name="K_7_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="31550.6969" name="K_8_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="9874266.4618" name="K_9_NaK" public_interface="out" units="per_fmol"/>
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<variable initial_value="7.1044e-05" name="K_MgADP" public_interface="out" units="per_fmol"/>
<variable initial_value="3.6718" name="K_MgATP" public_interface="out" units="per_fmol"/>
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<variable initial_value="0.0024108" name="K_Nai" public_interface="out" units="per_fmol"/>
<variable initial_value="0.060187" name="K_P_i" public_interface="out" units="per_fmol"/>
<variable initial_value="1045757.658" name="kappa_10_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="311526.5915" name="kappa_11_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1873089.8475" name="kappa_12_NaK" public_interface="out" units="fmol_per_sec"/>
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<variable initial_value="0.0049006" name="kappa_15_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="104.5833" name="kappa_1_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="270075.4148" name="kappa_2_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="906610.9954" name="kappa_3_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="3509448.0698" name="kappa_4_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="5858.2952" name="kappa_5_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="8.3375" name="kappa_6_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.1523" name="kappa_7_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.1055" name="kappa_8_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2150.4256" name="kappa_9_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="-5301.979" name="zF_5" public_interface="out" units="C_per_mol"/>
<variable initial_value="-91183.021" name="zF_8" public_interface="out" units="C_per_mol"/>
</component>
<component name="NaK_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_10_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_11_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_12_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_13_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_14_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_15_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_1_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_2_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_3_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_4_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_5_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_6_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_7_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_8_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_9_NaK" public_interface="in" units="per_fmol"/>
<variable name="K_H" public_interface="in" units="per_fmol"/>
<variable name="K_Ke" public_interface="in" units="per_fmol"/>
<variable name="K_Ki" public_interface="in" units="per_fmol"/>
<variable name="K_MgADP" public_interface="in" units="per_fmol"/>
<variable name="K_MgATP" 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="K_P_i" public_interface="in" units="per_fmol"/>
<variable name="kappa_10_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_11_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_12_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_13_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_14_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_15_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_1_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_2_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_3_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_4_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_5_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_6_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_7_NaK" public_interface="in" units="fmol_per_sec"/>
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<variable name="x_P15_global" public_interface="in" units="fmol"/>
<variable name="x_P1_global" public_interface="in" units="fmol"/>
<variable name="x_P2_global" public_interface="in" units="fmol"/>
<variable name="x_P3_global" public_interface="in" units="fmol"/>
<variable name="x_P4_global" public_interface="in" units="fmol"/>
<variable name="x_P5_global" public_interface="in" units="fmol"/>
<variable name="x_P6_global" public_interface="in" units="fmol"/>
<variable name="x_P10_global" public_interface="in" units="fmol"/>
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<variable name="x_P9_global" public_interface="in" units="fmol"/>
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<variable initial_value="0" name="x_P7" public_interface="out" units="fmol"/>
<variable initial_value="0" name="x_P_i" public_interface="out" units="fmol"/>
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<variable initial_value="0" name="x_P15" public_interface="out" units="fmol"/>
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<variable initial_value="0" name="x_P2" public_interface="out" units="fmol"/>
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<variable initial_value="0" name="x_P9" public_interface="out" units="fmol"/>
<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_Ke" units="J_per_mol"/>
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<divide/>
<ci>Ar_R3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R4</ci>
<apply>
<times/>
<ci>kappa_4_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R5</ci>
<apply>
<times/>
<ci>kappa_5_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R6</ci>
<apply>
<times/>
<ci>kappa_6_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R7</ci>
<apply>
<times/>
<ci>kappa_7_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R8</ci>
<apply>
<times/>
<ci>kappa_8_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R9</ci>
<apply>
<times/>
<ci>kappa_9_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R1</ci>
<ci>mu_P1</ci>
</apply>
<apply>
<eq/>
<ci>Af_R10</ci>
<ci>mu_P10</ci>
</apply>
<apply>
<eq/>
<ci>Af_R11</ci>
<apply>
<plus/>
<ci>mu_P11</ci>
<ci>mu_Ke</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R12</ci>
<apply>
<plus/>
<ci>mu_P12</ci>
<ci>mu_Ke</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R13</ci>
<ci>mu_P13</ci>
</apply>
<apply>
<eq/>
<ci>Af_R14</ci>
<apply>
<plus/>
<ci>mu_P14</ci>
<ci>mu_MgATP</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R15</ci>
<ci>mu_P15</ci>
</apply>
<apply>
<eq/>
<ci>Af_R2</ci>
<ci>mu_P2</ci>
</apply>
<apply>
<eq/>
<ci>Af_R3</ci>
<apply>
<plus/>
<ci>mu_P3</ci>
<ci>mu_Nai</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R4</ci>
<apply>
<plus/>
<ci>mu_P4</ci>
<ci>mu_Nai</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R5</ci>
<apply>
<plus/>
<ci>mu_P5</ci>
<ci>mu_Nai</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R6</ci>
<ci>mu_P6</ci>
</apply>
<apply>
<eq/>
<ci>Af_R7</ci>
<ci>mu_P7</ci>
</apply>
<apply>
<eq/>
<ci>Af_R8</ci>
<ci>mu_P8</ci>
</apply>
<apply>
<eq/>
<ci>Af_R9</ci>
<ci>mu_P9</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R1</ci>
<apply>
<plus/>
<ci>mu_Ki</ci>
<ci>mu_P2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R10</ci>
<apply>
<plus/>
<ci>mu_Nae</ci>
<ci>mu_P11</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R11</ci>
<ci>mu_P12</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R12</ci>
<ci>mu_P13</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R13</ci>
<apply>
<plus/>
<ci>mu_H</ci>
<ci>mu_P_i</ci>
<ci>mu_P14</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R14</ci>
<ci>mu_P15</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R15</ci>
<ci>mu_P1</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R2</ci>
<apply>
<plus/>
<ci>mu_P3</ci>
<ci>mu_Ki</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R3</ci>
<ci>mu_P4</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R4</ci>
<ci>mu_P5</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R5</ci>
<apply>
<plus/>
<ci>mu_P6</ci>
<apply>
<times/>
<ci>zF_5</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R6</ci>
<apply>
<plus/>
<ci>mu_P7</ci>
<ci>mu_MgADP</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R7</ci>
<ci>mu_P8</ci>
</apply>
<apply>
<eq/>
<ci>Ar_R8</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>zF_8</ci>
<ci>V_mem</ci>
</apply>
<ci>mu_Nae</ci>
<ci>mu_P9</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R9</ci>
<apply>
<plus/>
<ci>mu_P10</ci>
<ci>mu_Nae</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_Ke</ci>
</apply>
<ci>v_Ke</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_Ki</ci>
</apply>
<ci>v_Ki</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_H</ci>
</apply>
<ci>v_H</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_MgADP</ci>
</apply>
<ci>v_MgADP</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_MgATP</ci>
</apply>
<ci>v_MgATP</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P7</ci>
</apply>
<ci>v_P7</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P_i</ci>
</apply>
<ci>v_P_i</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P14</ci>
</apply>
<ci>v_P14</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P15</ci>
</apply>
<ci>v_P15</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P1</ci>
</apply>
<ci>v_P1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P2</ci>
</apply>
<ci>v_P2</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P3</ci>
</apply>
<ci>v_P3</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P4</ci>
</apply>
<ci>v_P4</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P5</ci>
</apply>
<ci>v_P5</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P6</ci>
</apply>
<ci>v_P6</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P10</ci>
</apply>
<ci>v_P10</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P11</ci>
</apply>
<ci>v_P11</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P12</ci>
</apply>
<ci>v_P12</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P13</ci>
</apply>
<ci>v_P13</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P8</ci>
</apply>
<ci>v_P8</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>x_P9</ci>
</apply>
<ci>v_P9</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="NaK_channel" component_2="NaK_parameters"/>
<map_variables variable_1="K_10_NaK" variable_2="K_10_NaK"/>
<map_variables variable_1="K_11_NaK" variable_2="K_11_NaK"/>
<map_variables variable_1="K_12_NaK" variable_2="K_12_NaK"/>
<map_variables variable_1="K_13_NaK" variable_2="K_13_NaK"/>
<map_variables variable_1="K_14_NaK" variable_2="K_14_NaK"/>
<map_variables variable_1="K_15_NaK" variable_2="K_15_NaK"/>
<map_variables variable_1="K_1_NaK" variable_2="K_1_NaK"/>
<map_variables variable_1="K_2_NaK" variable_2="K_2_NaK"/>
<map_variables variable_1="K_3_NaK" variable_2="K_3_NaK"/>
<map_variables variable_1="K_4_NaK" variable_2="K_4_NaK"/>
<map_variables variable_1="K_5_NaK" variable_2="K_5_NaK"/>
<map_variables variable_1="K_6_NaK" variable_2="K_6_NaK"/>
<map_variables variable_1="K_7_NaK" variable_2="K_7_NaK"/>
<map_variables variable_1="K_8_NaK" variable_2="K_8_NaK"/>
<map_variables variable_1="K_9_NaK" variable_2="K_9_NaK"/>
<map_variables variable_1="K_H" variable_2="K_H"/>
<map_variables variable_1="K_Ke" variable_2="K_Ke"/>
<map_variables variable_1="K_Ki" variable_2="K_Ki"/>
<map_variables variable_1="K_MgADP" variable_2="K_MgADP"/>
<map_variables variable_1="K_MgATP" variable_2="K_MgATP"/>
<map_variables variable_1="K_Nae" variable_2="K_Nae"/>
<map_variables variable_1="K_Nai" variable_2="K_Nai"/>
<map_variables variable_1="K_P_i" variable_2="K_P_i"/>
<map_variables variable_1="kappa_10_NaK" variable_2="kappa_10_NaK"/>
<map_variables variable_1="kappa_11_NaK" variable_2="kappa_11_NaK"/>
<map_variables variable_1="kappa_12_NaK" variable_2="kappa_12_NaK"/>
<map_variables variable_1="kappa_13_NaK" variable_2="kappa_13_NaK"/>
<map_variables variable_1="kappa_14_NaK" variable_2="kappa_14_NaK"/>
<map_variables variable_1="kappa_15_NaK" variable_2="kappa_15_NaK"/>
<map_variables variable_1="kappa_1_NaK" variable_2="kappa_1_NaK"/>
<map_variables variable_1="kappa_2_NaK" variable_2="kappa_2_NaK"/>
<map_variables variable_1="kappa_3_NaK" variable_2="kappa_3_NaK"/>
<map_variables variable_1="kappa_4_NaK" variable_2="kappa_4_NaK"/>
<map_variables variable_1="kappa_5_NaK" variable_2="kappa_5_NaK"/>
<map_variables variable_1="kappa_6_NaK" variable_2="kappa_6_NaK"/>
<map_variables variable_1="kappa_7_NaK" variable_2="kappa_7_NaK"/>
<map_variables variable_1="kappa_8_NaK" variable_2="kappa_8_NaK"/>
<map_variables variable_1="kappa_9_NaK" variable_2="kappa_9_NaK"/>
<map_variables variable_1="zF_5" variable_2="zF_5"/>
<map_variables variable_1="zF_8" variable_2="zF_8"/>
</connection>
<connection>
<map_components component_1="NaK_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_Ke_global" variable_2="x_Ke"/>
<map_variables variable_1="x_Ke" variable_2="x_Ke_mNaK"/>
<map_variables variable_1="x_Ki_global" variable_2="x_Ki"/>
<map_variables variable_1="x_Ki" variable_2="x_Ki_mNaK"/>
<map_variables variable_1="x_Nae_global" variable_2="x_Nae"/>
<map_variables variable_1="x_Nae" variable_2="x_Nae_mNaK"/>
<map_variables variable_1="x_Nai_global" variable_2="x_Nai"/>
<map_variables variable_1="x_Nai" variable_2="x_Nai_mNaK"/>
<map_variables variable_1="x_H_global" variable_2="x_H"/>
<map_variables variable_1="x_H" variable_2="x_H_mNaK"/>
<map_variables variable_1="x_MgADP_global" variable_2="x_MgADP"/>
<map_variables variable_1="x_MgADP" variable_2="x_MgADP_mNaK"/>
<map_variables variable_1="x_MgATP_global" variable_2="x_MgATP"/>
<map_variables variable_1="x_MgATP" variable_2="x_MgATP_mNaK"/>
<map_variables variable_1="x_P7_global" variable_2="x_P7"/>
<map_variables variable_1="x_P7" variable_2="x_P7_mNaK"/>
<map_variables variable_1="x_P_i_global" variable_2="x_P_i"/>
<map_variables variable_1="x_P_i" variable_2="x_P_i_mNaK"/>
<map_variables variable_1="x_P14_global" variable_2="x_P14"/>
<map_variables variable_1="x_P14" variable_2="x_P14_mNaK"/>
<map_variables variable_1="x_P15_global" variable_2="x_P15"/>
<map_variables variable_1="x_P15" variable_2="x_P15_mNaK"/>
<map_variables variable_1="x_P1_global" variable_2="x_P1"/>
<map_variables variable_1="x_P1" variable_2="x_P1_mNaK"/>
<map_variables variable_1="x_P2_global" variable_2="x_P2"/>
<map_variables variable_1="x_P2" variable_2="x_P2_mNaK"/>
<map_variables variable_1="x_P3_global" variable_2="x_P3"/>
<map_variables variable_1="x_P3" variable_2="x_P3_mNaK"/>
<map_variables variable_1="x_P4_global" variable_2="x_P4"/>
<map_variables variable_1="x_P4" variable_2="x_P4_mNaK"/>
<map_variables variable_1="x_P5_global" variable_2="x_P5"/>
<map_variables variable_1="x_P5" variable_2="x_P5_mNaK"/>
<map_variables variable_1="x_P6_global" variable_2="x_P6"/>
<map_variables variable_1="x_P6" variable_2="x_P6_mNaK"/>
<map_variables variable_1="x_P10_global" variable_2="x_P10"/>
<map_variables variable_1="x_P10" variable_2="x_P10_mNaK"/>
<map_variables variable_1="x_P11_global" variable_2="x_P11"/>
<map_variables variable_1="x_P11" variable_2="x_P11_mNaK"/>
<map_variables variable_1="x_P12_global" variable_2="x_P12"/>
<map_variables variable_1="x_P12" variable_2="x_P12_mNaK"/>
<map_variables variable_1="x_P13_global" variable_2="x_P13"/>
<map_variables variable_1="x_P13" variable_2="x_P13_mNaK"/>
<map_variables variable_1="x_P8_global" variable_2="x_P8"/>
<map_variables variable_1="x_P8" variable_2="x_P8_mNaK"/>
<map_variables variable_1="x_P9_global" variable_2="x_P9"/>
<map_variables variable_1="x_P9" variable_2="x_P9_mNaK"/>
<map_variables variable_1="q_mem_global" variable_2="q_mem"/>
<map_variables variable_1="q_mem" variable_2="q_mem_mNaK"/>
</connection>
</model>
