- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2024-08-20 13:33:39+12:00
- Desc:
- Fix annos
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/b9a/rawfile/6cb75b7dd19bad8e16ec45057ac90dbcb092a66c/BG_NaK.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_NaK_only" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="units_and_constants/units_BG.cellml">
<units name="mM" units_ref="mM"/>
<units name="fmol" units_ref="fmol"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="fF" units_ref="fF"/>
<units name="fC" units_ref="fC"/>
<units name="fA" units_ref="fA"/>
</import>
<component name="environment">
<variable initial_value="0" name="t" public_interface="out" units="second"/>
<variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
<variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
<variable initial_value="27.9828" name="q_K_o" public_interface="out" units="fmol"/>
<variable initial_value="5510" name="q_K_i" public_interface="out" units="fmol"/>
<variable initial_value="725.48" name="q_Na_o" public_interface="out" units="fmol"/>
<variable initial_value="380" name="q_Na_i" public_interface="out" units="fmol"/>
<variable initial_value="0.0030534" name="q_H_i" public_interface="out" units="fmol"/>
<variable initial_value="1.33" name="q_MgADP" public_interface="out" units="fmol"/>
<variable initial_value="264.1" name="q_MgATP" public_interface="out" units="fmol"/>
<variable initial_value="15.0898" name="q_Pi" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P7" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P14" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P15" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P1" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P2" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P3" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P4" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P5" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P6" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P10" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P11" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P12" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P13" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P8" public_interface="out" units="fmol"/>
<variable initial_value="0.001126432" name="q_P9" public_interface="out" units="fmol"/>
<variable name="v_K_o_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_K_i_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Na_o_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Na_i_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_H_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_MgADP_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_MgATP_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="v_Pi_NaK" 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_K_o</ci>
</apply>
<ci>v_K_o_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_K_i</ci>
</apply>
<ci>v_K_i_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_o</ci>
</apply>
<ci>v_Na_o_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_i</ci>
</apply>
<ci>v_Na_i_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_H_i</ci>
</apply>
<ci>v_H_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_MgADP</ci>
</apply>
<ci>v_MgADP_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_MgATP</ci>
</apply>
<ci>v_MgATP_NaK</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Pi</ci>
</apply>
<ci>v_Pi_NaK</ci>
</apply>
</math>
<variable initial_value="-13039" name="q_mem" public_interface="out" units="fC"/>
<variable name="q_mem_mNaK" 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_mNaK</ci>
</apply>
</math>
</component>
<component name="NaK_parameters">
<variable initial_value="28701.2" name="kappa_1_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.02749e+06" name="kappa_2_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="36989.9" name="kappa_3_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="110769" name="kappa_4_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="143.043" name="kappa_5_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.203578" name="kappa_6_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="73.4728" name="kappa_7_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="70.4896" name="kappa_8_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="19895.6" name="kappa_9_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.40388e+06" name="kappa_10_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="7905.94" name="kappa_11_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="6193.15" name="kappa_12_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.55667" name="kappa_13_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="6163.37" name="kappa_14_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.34489" name="kappa_15_NaK" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.17033e+06" name="K_1_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="8172.83" name="K_2_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="228.295" name="K_3_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="76.2363" name="K_4_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="101.833" name="K_5_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="6990.92" name="K_6_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="157.403" name="K_7_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="494.813" name="K_8_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="1.06726e+06" name="K_9_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="3781.29" name="K_10_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="53.588" name="K_11_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="68.4084" name="K_12_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="349.31" name="K_13_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="105.854" name="K_14_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="22775" name="K_15_NaK" public_interface="out" units="per_fmol"/>
<variable initial_value="0.000123928" name="K_K_i" public_interface="out" units="per_fmol"/>
<variable initial_value="0.455493" name="K_K_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.00344241" name="K_Na_i" public_interface="out" units="per_fmol"/>
<variable initial_value="0.00256511" name="K_Na_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0445571" name="K_MgATP" public_interface="out" units="per_fmol"/>
<variable initial_value="0.204939" name="K_MgADP" public_interface="out" units="per_fmol"/>
<variable initial_value="2.00757" name="K_Pi" public_interface="out" units="per_fmol"/>
<variable initial_value="2.00757" name="K_H" public_interface="out" units="per_fmol"/>
<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">
<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_K_o" public_interface="in" units="per_fmol"/>
<variable name="K_K_i" 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_Na_o" public_interface="in" units="per_fmol"/>
<variable name="K_Na_i" public_interface="in" units="per_fmol"/>
<variable name="K_Pi" 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"/>
<variable name="kappa_8_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_9_NaK" public_interface="in" units="fmol_per_sec"/>
<variable name="zF_5" public_interface="in" units="C_per_mol"/>
<variable name="zF_8" public_interface="in" units="C_per_mol"/>
<variable name="q_K_o" public_interface="in" units="fmol"/>
<variable name="q_K_i" public_interface="in" units="fmol"/>
<variable name="q_Na_o" public_interface="in" units="fmol"/>
<variable name="q_Na_i" public_interface="in" units="fmol"/>
<variable name="q_H_i" public_interface="in" units="fmol"/>
<variable name="q_MgADP" public_interface="in" units="fmol"/>
<variable name="q_MgATP" public_interface="in" units="fmol"/>
<variable name="q_Pi" public_interface="in" units="fmol"/>
<variable name="q_P7" public_interface="in" units="fmol"/>
<variable name="q_P14" public_interface="in" units="fmol"/>
<variable name="q_P15" public_interface="in" units="fmol"/>
<variable name="q_P1" public_interface="in" units="fmol"/>
<variable name="q_P2" public_interface="in" units="fmol"/>
<variable name="q_P3" public_interface="in" units="fmol"/>
<variable name="q_P4" public_interface="in" units="fmol"/>
<variable name="q_P5" public_interface="in" units="fmol"/>
<variable name="q_P6" public_interface="in" units="fmol"/>
<variable name="q_P10" public_interface="in" units="fmol"/>
<variable name="q_P11" public_interface="in" units="fmol"/>
<variable name="q_P12" public_interface="in" units="fmol"/>
<variable name="q_P13" public_interface="in" units="fmol"/>
<variable name="q_P8" public_interface="in" units="fmol"/>
<variable name="q_P9" public_interface="in" units="fmol"/>
<variable name="q_mem" public_interface="in" units="fC"/>
<variable name="mu_K_o" units="J_per_mol"/>
<variable name="mu_K_i" units="J_per_mol"/>
<variable name="mu_Na_o" units="J_per_mol"/>
<variable name="mu_Na_i" units="J_per_mol"/>
<variable name="mu_H" units="J_per_mol"/>
<variable name="mu_MgADP" units="J_per_mol"/>
<variable name="mu_MgATP" units="J_per_mol"/>
<variable name="mu_P7" units="J_per_mol"/>
<variable name="mu_Pi" units="J_per_mol"/>
<variable name="mu_P14" units="J_per_mol"/>
<variable name="mu_P15" units="J_per_mol"/>
<variable name="mu_P1" units="J_per_mol"/>
<variable name="mu_P2" units="J_per_mol"/>
<variable name="mu_P3" units="J_per_mol"/>
<variable name="mu_P4" units="J_per_mol"/>
<variable name="mu_P5" units="J_per_mol"/>
<variable name="mu_P6" units="J_per_mol"/>
<variable name="mu_P10" units="J_per_mol"/>
<variable name="mu_P11" units="J_per_mol"/>
<variable name="mu_P12" units="J_per_mol"/>
<variable name="mu_P13" units="J_per_mol"/>
<variable name="mu_P8" units="J_per_mol"/>
<variable name="mu_P9" units="J_per_mol"/>
<variable name="v_P14" units="fmol_per_sec"/>
<variable name="v_P15" units="fmol_per_sec"/>
<variable name="v_P1" units="fmol_per_sec"/>
<variable name="v_P2" units="fmol_per_sec"/>
<variable name="v_P3" units="fmol_per_sec"/>
<variable name="v_P4" units="fmol_per_sec"/>
<variable name="v_P5" units="fmol_per_sec"/>
<variable name="v_P6" units="fmol_per_sec"/>
<variable name="v_P10" units="fmol_per_sec"/>
<variable name="v_P11" units="fmol_per_sec"/>
<variable name="v_P12" units="fmol_per_sec"/>
<variable name="v_P13" units="fmol_per_sec"/>
<variable name="v_P7" units="fmol_per_sec"/>
<variable name="v_P8" units="fmol_per_sec"/>
<variable name="v_P9" units="fmol_per_sec"/>
<variable name="v_K_o_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_K_i_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_Na_o_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_Na_i_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_H_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_MgADP_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_MgATP_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="v_Pi_NaK" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R1" units="J_per_mol"/>
<variable name="Ar_R1" units="J_per_mol"/>
<variable name="v_R1" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R10" units="J_per_mol"/>
<variable name="Ar_R10" units="J_per_mol"/>
<variable name="v_R10" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R11" units="J_per_mol"/>
<variable name="Ar_R11" units="J_per_mol"/>
<variable name="v_R11" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R12" units="J_per_mol"/>
<variable name="Ar_R12" units="J_per_mol"/>
<variable name="v_R12" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R13" units="J_per_mol"/>
<variable name="Ar_R13" units="J_per_mol"/>
<variable name="v_R13" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R14" units="J_per_mol"/>
<variable name="Ar_R14" units="J_per_mol"/>
<variable name="v_R14" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R15" units="J_per_mol"/>
<variable name="Ar_R15" units="J_per_mol"/>
<variable name="v_R15" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R2" units="J_per_mol"/>
<variable name="Ar_R2" units="J_per_mol"/>
<variable name="v_R2" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R3" units="J_per_mol"/>
<variable name="Ar_R3" units="J_per_mol"/>
<variable name="v_R3" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R4" units="J_per_mol"/>
<variable name="Ar_R4" units="J_per_mol"/>
<variable name="v_R4" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R5" units="J_per_mol"/>
<variable name="Ar_R5" units="J_per_mol"/>
<variable name="v_R5" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R6" units="J_per_mol"/>
<variable name="Ar_R6" units="J_per_mol"/>
<variable name="v_R6" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R7" units="J_per_mol"/>
<variable name="Ar_R7" units="J_per_mol"/>
<variable name="v_R7" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R8" units="J_per_mol"/>
<variable name="Ar_R8" units="J_per_mol"/>
<variable name="v_R8" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_R9" units="J_per_mol"/>
<variable name="Ar_R9" units="J_per_mol"/>
<variable name="v_R9" public_interface="out" units="fmol_per_sec"/>
<variable name="V_mem" units="volt"/>
<variable name="I_mem_NaK" public_interface="out" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_mem</ci>
<apply>
<divide/>
<ci>q_mem</ci>
<ci>C_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_mem_NaK</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>zF_8</ci>
<ci>v_R8</ci>
</apply>
<apply>
<times/>
<ci>zF_5</ci>
<ci>v_R5</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_H</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_H</ci>
<ci>q_H_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_K_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_K_o</ci>
<ci>q_K_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_K_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_K_i</ci>
<ci>q_K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_MgADP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_MgADP</ci>
<ci>q_MgADP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_MgATP</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_MgATP</ci>
<ci>q_MgATP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Na_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_o</ci>
<ci>q_Na_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Na_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_i</ci>
<ci>q_Na_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_1_NaK</ci>
<ci>q_P1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_10_NaK</ci>
<ci>q_P10</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_11_NaK</ci>
<ci>q_P11</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P12</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_12_NaK</ci>
<ci>q_P12</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P13</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_13_NaK</ci>
<ci>q_P13</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P14</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_14_NaK</ci>
<ci>q_P14</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P15</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_15_NaK</ci>
<ci>q_P15</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_2_NaK</ci>
<ci>q_P2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_3_NaK</ci>
<ci>q_P3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P4</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_4_NaK</ci>
<ci>q_P4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P5</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_5_NaK</ci>
<ci>q_P5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P6</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_6_NaK</ci>
<ci>q_P6</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P7</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_7_NaK</ci>
<ci>q_P7</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P8</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_8_NaK</ci>
<ci>q_P8</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_P9</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_9_NaK</ci>
<ci>q_P9</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Pi</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Pi</ci>
<ci>q_Pi</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R1</ci>
<apply>
<times/>
<ci>kappa_1_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R10</ci>
<apply>
<times/>
<ci>kappa_10_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R11</ci>
<apply>
<times/>
<ci>kappa_11_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R12</ci>
<apply>
<times/>
<ci>kappa_12_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R12</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R12</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R13</ci>
<apply>
<times/>
<ci>kappa_13_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R13</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R13</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R14</ci>
<apply>
<times/>
<ci>kappa_14_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R14</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R14</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R15</ci>
<apply>
<times/>
<ci>kappa_15_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R15</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R15</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R2</ci>
<apply>
<times/>
<ci>kappa_2_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R2</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_R3</ci>
<apply>
<times/>
<ci>kappa_3_NaK</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R3</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<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_K_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R12</ci>
<apply>
<plus/>
<ci>mu_P12</ci>
<ci>mu_K_o</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_Na_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R4</ci>
<apply>
<plus/>
<ci>mu_P4</ci>
<ci>mu_Na_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R5</ci>
<apply>
<plus/>
<ci>mu_P5</ci>
<ci>mu_Na_i</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_K_i</ci>
<ci>mu_P2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R10</ci>
<apply>
<plus/>
<ci>mu_Na_o</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_Pi</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_K_i</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/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_6_NaK</ci>
<ci>q_P6</ci>
</apply>
</apply>
</apply>
<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>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_o</ci>
<ci>q_Na_o</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_9_NaK</ci>
<ci>q_P9</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R9</ci>
<apply>
<plus/>
<ci>mu_P10</ci>
<ci>mu_Na_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_H_NaK</ci>
<ci>v_R13</ci>
</apply>
<apply>
<eq/>
<ci>v_K_o_NaK</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_R11</ci>
</apply>
<ci>v_R12</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_K_i_NaK</ci>
<apply>
<plus/>
<ci>v_R1</ci>
<ci>v_R2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_MgADP_NaK</ci>
<ci>v_R6</ci>
</apply>
<apply>
<eq/>
<ci>v_MgATP_NaK</ci>
<apply>
<minus/>
<ci>v_R14</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Na_o_NaK</ci>
<apply>
<plus/>
<ci>v_R8</ci>
<ci>v_R9</ci>
<ci>v_R10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Na_i_NaK</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_R3</ci>
</apply>
<apply>
<plus/>
<ci>v_R4</ci>
<ci>v_R5</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P1</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_R1</ci>
</apply>
<ci>v_R15</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P10</ci>
<apply>
<minus/>
<ci>v_R9</ci>
<ci>v_R10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P11</ci>
<apply>
<minus/>
<ci>v_R10</ci>
<ci>v_R11</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_P12</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_R12</ci>
</apply>
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<plus/>
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<minus/>
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<plus/>
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<minus/>
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<minus/>
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<apply>
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<ci>t</ci>
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<ci>v_P3</ci>
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<ci>t</ci>
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<ci>q_P12</ci>
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<ci>v_P12</ci>
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<ci>t</ci>
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<ci>q_P13</ci>
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<ci>v_P13</ci>
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<apply>
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<ci>t</ci>
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<ci>q_P8</ci>
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<ci>v_P8</ci>
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<apply>
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<bvar>
<ci>t</ci>
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<ci>q_P9</ci>
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<ci>v_P9</ci>
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<map_variables variable_1="kappa_1_NaK" variable_2="kappa_1_NaK"/>
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<map_variables variable_1="kappa_7_NaK" variable_2="kappa_7_NaK"/>
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<map_variables variable_1="zF_5" variable_2="zF_5"/>
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<connection>
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<map_variables variable_1="v_MgATP_NaK" variable_2="v_MgATP_NaK"/>
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<map_variables variable_1="q_mem" variable_2="q_mem"/>
<map_variables variable_1="I_mem_NaK" variable_2="q_mem_mNaK"/>
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