Location: A single compartment model of pacemaking in dissasociated Substantia nigra neurons with hyperbolic tetrahedral geometry @ 82f47cbf0e3e / francis_garcia_middleton_2013.cellml

Author:
Mathieu Deneux <mathieu.deneux@gmail.com>
Date:
2016-07-28 15:56:25+12:00
Desc:
Addition of SEDML files
Permanent Source URI:
https://staging.physiomeproject.org/workspace/35c/rawfile/82f47cbf0e3eebf7b5689de7cb1013723f8b7860/francis_garcia_middleton_2013.cellml

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 3/18/2013 at 3:27:44 at PM using:

COR (0.9.31.1409)
Copyright 2002-2013 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk

CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
<model name="francis_miriam_middleton_2013_realistic" cmeta:id="francis_miriam_middleton_2013_realistic" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
   <units name="ms">
      <unit units="second" prefix="milli"/>
   </units>
   <units name="mM">
      <unit units="mole" prefix="milli"/>
      <unit units="litre" exponent="-1"/>
   </units>
   <units name="mM4">
      <unit units="mM" exponent="4"/>
   </units>
   <units name="cm">
      <unit units="metre" prefix="centi"/>
   </units>
   <units name="per_cm">
      <unit units="metre" prefix="centi" exponent="-1"/>
   </units>
   <units name="mV">
      <unit units="volt" prefix="milli"/>
   </units>
   <units name="pl">
      <unit units="litre" prefix="pico"/>
   </units>
   <units name="pF">
      <unit units="farad" prefix="pico"/>
   </units>
   <units name="pF_per_sqcm">
      <unit units="farad" prefix="pico"/>
      <unit units="cm" exponent="-2"/>
   </units>
   <units name="sqcm">
      <unit units="cm" exponent="2"/>
   </units>
   <units name="pA">
      <unit units="ampere" prefix="pico"/>
   </units>
   <units name="coulomb_per_mole">
      <unit units="coulomb"/>
      <unit units="mole" exponent="-1"/>
   </units>
   <units name="mJ_per_mole_kelvin">
      <unit units="joule" prefix="milli"/>
      <unit units="mole" exponent="-1"/>
      <unit units="kelvin" exponent="-1"/>
   </units>
   <units name="mM_per_ms">
      <unit units="mM"/>
      <unit units="ms" exponent="-1"/>
   </units>
   <units name="per_mMsq_ms">
      <unit units="mM" exponent="-2"/>
      <unit units="ms" exponent="-1"/>
   </units>
   <units name="per_mM_ms">
      <unit units="mM" exponent="-1"/>
      <unit units="ms" exponent="-1"/>
   </units>
   <units name="per_ms">
      <unit units="ms" exponent="-1"/>
   </units>
   <units name="pA_per_mM">
      <unit units="pA"/>
      <unit units="mM" exponent="-1"/>
   </units>
   <units name="nS">
      <unit units="pA"/>
      <unit units="mV" exponent="-1"/>
   </units>
   <component name="environment">
      <variable name="t" units="ms" public_interface="out"/>
      <variable name="R" units="mJ_per_mole_kelvin" initial_value="8314.472"/>
      <variable name="T" units="kelvin" initial_value="310.15"/>
      <variable name="F" units="coulomb_per_mole" initial_value="96485.30929" public_interface="out"/>
      <variable name="V_tau" units="mV" public_interface="out"/>
      <variable name="Ca_o" units="mM" initial_value="1.8" public_interface="out"/>
      <variable name="Na_o" units="mM" initial_value="137" public_interface="out"/>
      <variable name="K_o" units="mM" initial_value="5.4" public_interface="out"/>
      <variable name="vol_cyt" units="pl" public_interface="out"/>
      <variable name="vol_pmu" units="pl" initial_value="5" public_interface="out"/>
      <variable name="fr_cyt" units="dimensionless" initial_value="0.5"/>
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            <eq/>
            <ci>vol_cyt</ci>
            <apply>
               <times/>
               <ci>fr_cyt</ci>
               <ci>vol_pmu</ci>
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         </apply>
         <apply>
            <eq/>
            <ci>V_tau</ci>
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               <divide/>
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                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
               </apply>
               <ci>F</ci>
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         </apply>
      </math>
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      <variable name="V" units="mV" initial_value="-49.42" public_interface="out"/>
      <variable name="V_tau" units="mV" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="out"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="vol_cyt" units="pl" public_interface="in"/>
      <variable name="vol_pmu" units="pl" public_interface="in"/>
      <variable name="C_sp" units="pF_per_sqcm" initial_value="0.9e6"/>
      <variable name="Ca_o" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <variable name="K_o" units="mM" public_interface="in"/>
      <variable name="Ca_i" units="mM" public_interface="in"/>
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="K_i" units="mM" public_interface="in"/>
      <variable name="V_Ca" units="dimensionless" public_interface="out"/>
      <variable name="V_Na" units="dimensionless" public_interface="out"/>
      <variable name="V_K" units="dimensionless" public_interface="out"/>
      <variable name="A_pmu" units="sqcm"/>
      <variable name="SVR_pmu" units="per_cm" initial_value="1.6667e4"/>
      <variable name="J_Ca" units="mM_per_ms" public_interface="in"/>
      <variable name="J_Na" units="mM_per_ms" public_interface="in"/>
      <variable name="J_K" units="mM_per_ms" public_interface="in"/>
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         <apply>
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            <ci>VD</ci>
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               <divide/>
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            <ci>A_pmu</ci>
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               <divide/>
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                  <times/>
                  <ci>SVR_pmu</ci>
                  <ci>vol_pmu</ci>
                  <cn type="e-notation" cellml:units="cm">1   <sep/>
                  -3</cn>
                  <cn type="e-notation" cellml:units="cm">1   <sep/>
                  -3</cn>
                  <cn type="e-notation" cellml:units="cm">1   <sep/>
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               <times/>
               <cn cellml:units="dimensionless">0.5</cn>
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                  <ln/>
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            <ci>V_Na</ci>
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               <ln/>
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                  <ci>Na_o</ci>
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            <ci>V_K</ci>
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               <ln/>
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                  <divide/>
                  <ci>K_o</ci>
                  <ci>K_i</ci>
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            </apply>
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               <bvar>
                  <ci>t</ci>
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               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>F</ci>
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                  </apply>
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                     <times/>
                     <ci>C_sp</ci>
                     <ci>A_pmu</ci>
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                  <plus/>
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                     <ci>J_Ca</ci>
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      </math>
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      <variable name="Ca_i" units="mM" initial_value="0.000188" public_interface="out"/>
      <variable name="Na_i" units="mM" initial_value="4.6876" public_interface="out"/>
      <variable name="K_i" units="mM" initial_value="126.05893" public_interface="out"/>
      <variable name="atp" units="mM" initial_value="2" public_interface="out"/>
      <variable name="J_Ca" units="mM_per_ms" public_interface="in"/>
      <variable name="J_Na" units="mM_per_ms" public_interface="in"/>
      <variable name="J_K" units="mM_per_ms" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>Ca_i</ci>
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            <ci>J_Ca</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>Na_i</ci>
            </apply>
            <ci>J_Na</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>K_i</ci>
            </apply>
            <ci>J_K</ci>
         </apply>
      </math>
   </component>
   <component name="calcium_dynamics">
      <variable name="J_Ca" units="mM_per_ms" public_interface="out"/>
      <variable name="J_ca" units="mM_per_ms"/>
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="I_CaL" units="pA" public_interface="in"/>
      <variable name="I_pmca" units="pA" public_interface="in"/>
      <variable name="I_xm" units="pA" public_interface="in"/>
      <variable name="vol_cyt" units="pl" public_interface="in"/>
      <variable name="J_calb" units="mM_per_ms" public_interface="in"/>
      <variable name="J_cam" units="mM_per_ms" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_Ca</ci>
            <apply>
               <minus/>
               <ci>J_ca</ci>
               <apply>
                  <plus/>
                  <ci>J_calb</ci>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">4</cn>
                     <ci>J_cam</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_ca</ci>
            <apply>
               <times/>
               <apply>
                  <divide/>
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                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>F</ci>
                     <ci>vol_cyt</ci>
                  </apply>
               </apply>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <ci>I_CaL</ci>
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                        <times/>
                        <cn cellml:units="dimensionless">2</cn>
                        <ci>I_pmca</ci>
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                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">2</cn>
                     <ci>I_xm</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_dynamics">
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="J_Na" units="mM_per_ms" public_interface="out"/>
      <variable name="I_Na" units="pA" public_interface="in"/>
      <variable name="I_Nalk" units="pA" public_interface="in"/>
      <variable name="I_NaHCN" units="pA" public_interface="in"/>
      <variable name="I_xm" units="pA" public_interface="in"/>
      <variable name="I_nk" units="pA" public_interface="in"/>
      <variable name="vol_cyt" units="pl" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_Na</ci>
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               <times/>
               <apply>
                  <divide/>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                  </apply>
                  <apply>
                     <times/>
                     <ci>F</ci>
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               <apply>
                  <plus/>
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                     <times/>
                     <cn cellml:units="dimensionless">3</cn>
                     <ci>I_nk</ci>
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                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">3</cn>
                     <ci>I_xm</ci>
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                  <ci>I_Na</ci>
                  <ci>I_Nalk</ci>
                  <ci>I_NaHCN</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="potassium_dynamics">
      <variable name="F" units="coulomb_per_mole" public_interface="in"/>
      <variable name="J_K" units="mM_per_ms" public_interface="out"/>
      <variable name="vol_cyt" units="pl" public_interface="in"/>
      <variable name="I_K" units="pA"/>
      <variable name="I_Ksk" units="pA" public_interface="in"/>
      <variable name="I_Kdr" units="pA" public_interface="in"/>
      <variable name="I_Kir" units="pA" public_interface="in"/>
      <variable name="I_nk" units="pA" public_interface="in"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_K</ci>
            <apply>
               <plus/>
               <ci>I_Ksk</ci>
               <ci>I_Kdr</ci>
               <ci>I_Kir</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_K</ci>
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               <times/>
               <apply>
                  <divide/>
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                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
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                     <times/>
                     <ci>F</ci>
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                  <minus/>
                  <ci>I_K</ci>
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                     <times/>
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                     <ci>I_nk</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="calcium_buffer_dynamics">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="Ca_i" units="mM" public_interface="in"/>
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      <variable name="Cam" units="mM" initial_value="0.0222"/>
      <variable name="Calbtot" units="mM" initial_value="0.005"/>
      <variable name="Camtot" units="mM" initial_value="0.0235"/>
      <variable name="CaCalb" units="mM"/>
      <variable name="CaCam" units="mM" public_interface="out"/>
      <variable name="J_calb" units="mM_per_ms" public_interface="out"/>
      <variable name="J_cam" units="mM_per_ms" public_interface="out"/>
      <variable name="kcal_1" units="per_mM_ms" initial_value="10"/>
      <variable name="kcal_2" units="per_ms" initial_value="2e-3"/>
      <variable name="kcam_cb" units="per_ms"/>
      <variable name="kcam_cd" units="per_ms" initial_value="0.003"/>
      <variable name="kcam_nb" units="per_ms"/>
      <variable name="kcam_nd" units="per_ms" initial_value="3"/>
      <variable name="alpha_cam" units="per_ms"/>
      <variable name="beta_cam" units="per_ms"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>J_calb</ci>
            <apply>
               <minus/>
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                  <times/>
                  <ci>kcal_1</ci>
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                  <ci>Ca_i</ci>
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                  <times/>
                  <ci>kcal_2</ci>
                  <ci>CaCalb</ci>
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            <ci>J_cam</ci>
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               <minus/>
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                  <times/>
                  <ci>alpha_cam</ci>
                  <ci>Cam</ci>
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                  <times/>
                  <ci>beta_cam</ci>
                  <ci>CaCam</ci>
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            <eq/>
            <ci>kcam_cb</ci>
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               <times/>
               <cn cellml:units="per_mMsq_ms">12000</cn>
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                  <power/>
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            <ci>kcam_nb</ci>
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               <cn type="e-notation" cellml:units="per_mMsq_ms">3.7   <sep/>
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            <eq/>
            <ci>alpha_cam</ci>
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               <ci>kcam_cb</ci>
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                  <plus/>
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            <ci>beta_cam</ci>
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               <ci>kcam_cd</ci>
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            <ci>CaCalb</ci>
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               <minus/>
               <ci>Calbtot</ci>
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            <eq/>
            <ci>CaCam</ci>
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               <minus/>
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            <eq/>
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               <bvar>
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                        <ci>Ca_o</ci>
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                     </apply>
                  </apply>
                  <cn cellml:units="ms">0.7231</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>h_cal</ci>
            <apply>
               <divide/>
               <cn cellml:units="mM">0.00045</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="mM">0.00045</cn>
                  <ci>Ca_i</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="transient_Na_channel">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="V_Na" units="dimensionless" public_interface="in"/>
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <variable name="I_Na" units="pA" public_interface="out"/>
      <variable name="g_na" units="pA_per_mM" initial_value="907.68"/>
      <variable name="O_na" units="dimensionless"/>
      <variable name="m_na" units="dimensionless" initial_value="0.0952"/>
      <variable name="h_na" units="dimensionless" initial_value="0.1848"/>
      <variable name="A_mna" units="per_ms" initial_value="1.9651"/>
      <variable name="B_mna" units="per_ms" initial_value="0.0424"/>
      <variable name="A_hna" units="per_ms" initial_value="9.566e-5"/>
      <variable name="B_hna" units="per_ms" initial_value="0.5296"/>
      <variable name="za_mna" units="dimensionless" initial_value="1.7127"/>
      <variable name="zb_mna" units="dimensionless" initial_value="1.5581"/>
      <variable name="za_hna" units="dimensionless" initial_value="-2.4317"/>
      <variable name="zb_hna" units="dimensionless" initial_value="-1.1868"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>O_na</ci>
            <apply>
               <times/>
               <apply>
                  <power/>
                  <ci>m_na</ci>
                  <cn cellml:units="dimensionless">3</cn>
               </apply>
               <ci>h_na</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>m_na</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>A_mna</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <ci>za_mna</ci>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>m_na</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>B_mna</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>zb_mna</ci>
                        </apply>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <ci>m_na</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>h_na</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>A_hna</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <ci>za_hna</ci>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>h_na</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>B_hna</ci>
                  <apply>
                     <exp/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>zb_hna</ci>
                        </apply>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <ci>h_na</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_Na</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>g_na</ci>
                  <ci>O_na</ci>
                  <apply>
                     <root/>
                     <apply>
                        <times/>
                        <ci>Na_i</ci>
                        <ci>Na_o</ci>
                     </apply>
                  </apply>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <apply>
                           <minus/>
                           <ci>VD</ci>
                           <ci>V_Na</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.5</cn>
                     <ci>VD</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Leak_Na_channel">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="V_Na" units="dimensionless" public_interface="in"/>
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <variable name="I_Nalk" units="pA" public_interface="out"/>
      <variable name="g_nalk" units="pA_per_mM" initial_value="0.0053"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_Nalk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>g_nalk</ci>
                  <apply>
                     <root/>
                     <apply>
                        <times/>
                        <ci>Na_i</ci>
                        <ci>Na_o</ci>
                     </apply>
                  </apply>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <apply>
                           <minus/>
                           <ci>VD</ci>
                           <ci>V_Na</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.5</cn>
                     <ci>VD</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="HCN_channel">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="V" units="mV" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="V_Na" units="dimensionless" public_interface="in"/>
      <variable name="V_K" units="dimensionless" public_interface="in"/>
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <variable name="K_i" units="mM" public_interface="in"/>
      <variable name="K_o" units="mM" public_interface="in"/>
      <variable name="I_NaHCN" units="pA" public_interface="out"/>
      <variable name="g_nahcn" units="pA_per_mM" initial_value="51.1"/>
      <variable name="O_hcn" units="dimensionless" initial_value="0.003" public_interface="out"/>
      <variable name="kf_hcn" units="per_ms"/>
      <variable name="kr_hcn" units="per_ms"/>
      <variable name="kf_free" units="per_ms"/>
      <variable name="kr_free" units="per_ms"/>
      <variable name="kf_bnd" units="per_ms"/>
      <variable name="kr_bnd" units="per_ms"/>
      <variable name="P_c" units="dimensionless"/>
      <variable name="P_o" units="dimensionless"/>
      <variable name="cAMP" units="mM" initial_value="1e-5"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>O_hcn</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>kf_hcn</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>O_hcn</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kr_hcn</ci>
                  <ci>O_hcn</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kf_hcn</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>kf_free</ci>
                  <ci>P_c</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kf_bnd</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>P_c</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kr_hcn</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>kr_free</ci>
                  <ci>P_o</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kr_bnd</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>P_o</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kf_free</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.006</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">87.7</cn>
                        </apply>
                        <cn cellml:units="mV">6.45</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kr_free</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.08</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">51.7</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">7</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kf_bnd</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.0268</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">94.2</cn>
                        </apply>
                        <cn cellml:units="mV">13.3</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>kr_bnd</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.08</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <minus/>
                           <apply>
                              <plus/>
                              <ci>V</ci>
                              <cn cellml:units="mV">35.5</cn>
                           </apply>
                        </apply>
                        <cn cellml:units="mV">7</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_c</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>cAMP</ci>
                     <cn type="e-notation" cellml:units="mM">1.163   <sep/>
                     -3</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_o</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>cAMP</ci>
                     <cn type="e-notation" cellml:units="mM">1.45   <sep/>
                     -5</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_NaHCN</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>g_nahcn</ci>
                  <ci>O_hcn</ci>
                  <apply>
                     <root/>
                     <apply>
                        <times/>
                        <ci>Na_i</ci>
                        <ci>Na_o</ci>
                     </apply>
                  </apply>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <apply>
                           <minus/>
                           <ci>VD</ci>
                           <ci>V_Na</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.5</cn>
                     <ci>VD</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="SK_K_channel">
      <variable name="Ca_i" units="mM" public_interface="in"/>
      <variable name="K_i" units="mM" public_interface="in"/>
      <variable name="K_o" units="mM" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="V_K" units="dimensionless" public_interface="in"/>
      <variable name="O_sk" units="dimensionless"/>
      <variable name="I_Ksk" units="pA" public_interface="out"/>
      <variable name="g_ksk" units="pA_per_mM" initial_value="2.2515"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>O_sk</ci>
            <apply>
               <divide/>
               <apply>
                  <power/>
                  <ci>Ca_i</ci>
                  <cn cellml:units="dimensionless">4.2</cn>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <power/>
                     <cn type="e-notation" cellml:units="mM">0.35   <sep/>
                     -3</cn>
                     <cn cellml:units="dimensionless">4.2</cn>
                  </apply>
                  <apply>
                     <power/>
                     <ci>Ca_i</ci>
                     <cn cellml:units="dimensionless">4.2</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_Ksk</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>g_ksk</ci>
                  <ci>O_sk</ci>
                  <apply>
                     <root/>
                     <apply>
                        <times/>
                        <ci>K_i</ci>
                        <ci>K_o</ci>
                     </apply>
                  </apply>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <apply>
                           <minus/>
                           <ci>VD</ci>
                           <ci>V_K</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <sinh/>
                     <apply>
                        <times/>
                        <cn cellml:units="dimensionless">0.5</cn>
                        <ci>VD</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.5</cn>
                     <ci>VD</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="DR_K_channel">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="V" units="mV" public_interface="in"/>
      <variable name="V_tau" units="mV" public_interface="in"/>
      <variable name="V_K" units="dimensionless" public_interface="in"/>
      <variable name="O_kdr" units="dimensionless"/>
      <variable name="m_kdr" units="dimensionless" initial_value="0.0932"/>
      <variable name="I_Kdr" units="pA" public_interface="out"/>
      <variable name="g_kdr" units="nS" initial_value="31.237"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_Kdr</ci>
            <apply>
               <times/>
               <ci>g_kdr</ci>
               <ci>O_kdr</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <apply>
                     <times/>
                     <ci>V_K</ci>
                     <ci>V_tau</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>O_kdr</ci>
            <apply>
               <power/>
               <ci>m_kdr</ci>
               <cn cellml:units="dimensionless">3</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>m_kdr</ci>
            </apply>
            <apply>
               <divide/>
               <apply>
                  <minus/>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">1</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <minus/>
                                 <apply>
                                    <plus/>
                                    <ci>V</ci>
                                    <cn cellml:units="mV">25</cn>
                                 </apply>
                              </apply>
                              <cn cellml:units="mV">12</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <ci>m_kdr</ci>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <cn cellml:units="ms">18</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <apply>
                                 <plus/>
                                 <ci>V</ci>
                                 <cn cellml:units="mV">39</cn>
                              </apply>
                              <cn cellml:units="mV">8</cn>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="ms">1</cn>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="IR_K_channel">
      <variable name="V" units="mV" public_interface="in"/>
      <variable name="V_tau" units="mV" public_interface="in"/>
      <variable name="V_K" units="dimensionless" public_interface="in"/>
      <variable name="O_kir" units="dimensionless"/>
      <variable name="I_Kir" units="pA" public_interface="out"/>
      <variable name="g_kir" units="nS" initial_value="13.816"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_Kir</ci>
            <apply>
               <times/>
               <ci>g_kir</ci>
               <ci>O_kir</ci>
               <apply>
                  <minus/>
                  <ci>V</ci>
                  <apply>
                     <times/>
                     <ci>V_K</ci>
                     <ci>V_tau</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>O_kir</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>V</ci>
                           <cn cellml:units="mV">85</cn>
                        </apply>
                        <cn cellml:units="mV">12.1</cn>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="PMCA">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="Ca_i" units="mM" public_interface="in"/>
      <variable name="Ca_o" units="mM" public_interface="in"/>
      <variable name="atp" units="mM" public_interface="in"/>
      <variable name="CaCam" units="mM" public_interface="in"/>
      <variable name="I_pmca" units="pA" public_interface="out"/>
      <variable name="y_pc" units="dimensionless" initial_value="0.483"/>
      <variable name="K_pmca" units="pA"/>
      <variable name="k_1pc" units="per_ms"/>
      <variable name="k_2pc" units="per_ms" initial_value="0.001"/>
      <variable name="k_3pc" units="per_ms" initial_value="0.001"/>
      <variable name="k_4pc" units="per_ms" initial_value="1"/>
      <variable name="P_E1Spc" units="dimensionless"/>
      <variable name="P_E2Spc" units="dimensionless"/>
      <variable name="P_E1pc" units="dimensionless"/>
      <variable name="P_E2pc" units="dimensionless"/>
      <variable name="alpha_pc" units="per_ms"/>
      <variable name="beta_pc" units="per_ms"/>
      <variable name="K_pci" units="mM"/>
      <variable name="K_pco" units="mM" initial_value="2"/>
      <variable name="k_pmca" units="dimensionless" initial_value="2.233"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_pmca</ci>
            <apply>
               <times/>
               <ci>K_pmca</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>k_1pc</ci>
                     <ci>P_E1Spc</ci>
                     <ci>y_pc</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_2pc</ci>
                     <ci>P_E2Spc</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>y_pc</ci>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_pmca</ci>
            <apply>
               <times/>
               <ci>k_pmca</ci>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <cn cellml:units="pA">10.56</cn>
                        <ci>CaCam</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>CaCam</ci>
                        <cn cellml:units="mM">0.00005</cn>
                     </apply>
                  </apply>
                  <cn cellml:units="pA">1.2</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>y_pc</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>beta_pc</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>y_pc</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_pc</ci>
                  <ci>y_pc</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k_1pc</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <cn cellml:units="mM">0.1</cn>
                     <ci>atp</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E1Spc</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>K_pci</ci>
                     <ci>Ca_i</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E1pc</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_E1Spc</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E2Spc</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>K_pco</ci>
                     <ci>Ca_o</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E2pc</ci>
            <apply>
               <minus/>
               <cn cellml:units="dimensionless">1</cn>
               <ci>P_E2Spc</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_pc</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>k_2pc</ci>
                  <ci>P_E2Spc</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_4pc</ci>
                  <ci>P_E2pc</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_pc</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>k_1pc</ci>
                  <ci>P_E1Spc</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_3pc</ci>
                  <ci>P_E1pc</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>K_pci</ci>
            <apply>
               <times/>
               <apply>
                  <plus/>
                  <apply>
                     <divide/>
                     <cn cellml:units="dimensionless">173.6</cn>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>CaCam</ci>
                           <cn cellml:units="mM">0.00005</cn>
                        </apply>
                     </apply>
                  </apply>
                  <cn cellml:units="dimensionless">6.4</cn>
               </apply>
               <cn type="e-notation" cellml:units="mM">1   <sep/>
               -5</cn>
            </apply>
         </apply>
      </math>
   </component>
   <component name="NaCa">
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="Ca_i" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <variable name="Ca_o" units="mM" public_interface="in"/>
      <variable name="del" units="dimensionless" initial_value="0.35"/>
      <variable name="I_xm" units="pA" public_interface="out"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="k_xm" units="pA" initial_value="0.0166"/>
      <variable name="Dr" units="mM4"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_xm</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>k_xm</ci>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <apply>
                           <power/>
                           <ci>Na_i</ci>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Ca_o</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <ci>del</ci>
                              <ci>VD</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <power/>
                           <ci>Na_o</ci>
                           <cn cellml:units="dimensionless">3</cn>
                        </apply>
                        <ci>Ca_i</ci>
                        <apply>
                           <exp/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>del</ci>
                                 <cn cellml:units="dimensionless">1</cn>
                              </apply>
                              <ci>VD</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <ci>Dr</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Dr</ci>
            <apply>
               <times/>
               <apply>
                  <plus/>
                  <cn cellml:units="mM4">1</cn>
                  <apply>
                     <times/>
                     <cn cellml:units="dimensionless">0.001</cn>
                     <apply>
                        <plus/>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <ci>Na_i</ci>
                              <cn cellml:units="dimensionless">3</cn>
                           </apply>
                           <ci>Ca_o</ci>
                        </apply>
                        <apply>
                           <times/>
                           <apply>
                              <power/>
                              <ci>Na_o</ci>
                              <cn cellml:units="dimensionless">3</cn>
                           </apply>
                           <ci>Ca_i</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <ci>Ca_i</ci>
                     <cn cellml:units="mM">0.0069</cn>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="sodium_pump">
      <variable name="t" units="ms" public_interface="in"/>
      <variable name="Na_i" units="mM" public_interface="in"/>
      <variable name="Na_o" units="mM" public_interface="in"/>
      <variable name="Na_eff" units="mM"/>
      <variable name="K_i" units="mM" public_interface="in"/>
      <variable name="K_o" units="mM" public_interface="in"/>
      <variable name="atp" units="mM" public_interface="in"/>
      <variable name="VD" units="dimensionless" public_interface="in"/>
      <variable name="I_nk" units="pA" public_interface="out"/>
      <variable name="y_nk" units="dimensionless" initial_value="0.6213"/>
      <variable name="alpha_nk" units="per_ms"/>
      <variable name="beta_nk" units="per_ms"/>
      <variable name="P_E1Snk" units="dimensionless"/>
      <variable name="P_E2Snk" units="dimensionless"/>
      <variable name="P_E1Dnk" units="dimensionless"/>
      <variable name="P_E2Dnk" units="dimensionless"/>
      <variable name="k_1nk" units="per_ms"/>
      <variable name="k_2nk" units="per_ms" initial_value="0.04"/>
      <variable name="k_3nk" units="per_ms" initial_value="0.01"/>
      <variable name="k_4nk" units="per_ms" initial_value="0.165"/>
      <variable name="K_nknai" units="mM" initial_value="4.05"/>
      <variable name="K_nknao" units="mM" initial_value="69.8"/>
      <variable name="K_nkki" units="mM" initial_value="32.88"/>
      <variable name="K_nkko" units="mM" initial_value="0.258"/>
      <variable name="k_nk" units="pA" initial_value="1085.7"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_nk</ci>
            <apply>
               <times/>
               <ci>k_nk</ci>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>k_1nk</ci>
                     <ci>P_E1Snk</ci>
                     <ci>y_nk</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_2nk</ci>
                     <ci>P_E2Snk</ci>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <ci>y_nk</ci>
                     </apply>
                  </apply>
               </apply>
               <cn cellml:units="ms">1</cn>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>k_1nk</ci>
            <apply>
               <divide/>
               <cn cellml:units="per_ms">0.37</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <divide/>
                     <cn cellml:units="mM">0.094</cn>
                     <ci>atp</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>Na_eff</ci>
            <apply>
               <times/>
               <ci>Na_o</ci>
               <apply>
                  <exp/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">0.82</cn>
                     </apply>
                     <ci>VD</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>y_nk</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>beta_nk</ci>
                  <apply>
                     <minus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>y_nk</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>alpha_nk</ci>
                  <ci>y_nk</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_nk</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>k_2nk</ci>
                  <ci>P_E2Snk</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_4nk</ci>
                  <ci>P_E2Dnk</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_nk</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>k_1nk</ci>
                  <ci>P_E1Snk</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_3nk</ci>
                  <ci>P_E1Dnk</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E1Snk</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>K_nknai</ci>
                        <ci>Na_i</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>K_i</ci>
                           <ci>K_nkki</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E1Dnk</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>K_nkki</ci>
                        <ci>K_i</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Na_i</ci>
                           <ci>K_nknai</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E2Snk</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>K_nknao</ci>
                        <ci>Na_eff</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>K_o</ci>
                           <ci>K_nkko</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>P_E2Dnk</ci>
            <apply>
               <divide/>
               <cn cellml:units="dimensionless">1</cn>
               <apply>
                  <plus/>
                  <cn cellml:units="dimensionless">1</cn>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <ci>K_nkko</ci>
                        <ci>K_o</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <cn cellml:units="dimensionless">1</cn>
                        <apply>
                           <divide/>
                           <ci>Na_eff</ci>
                           <ci>K_nknao</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <group>
      <relationship_ref relationship="containment"/>
      <component_ref component="Membrane">
         <component_ref component="L_type_Ca_channel"/>
         <component_ref component="transient_Na_channel"/>
         <component_ref component="Leak_Na_channel"/>
         <component_ref component="HCN_channel"/>
         <component_ref component="SK_K_channel"/>
         <component_ref component="DR_K_channel"/>
         <component_ref component="IR_K_channel"/>
         <component_ref component="sodium_pump"/>
         <component_ref component="PMCA"/>
         <component_ref component="NaCa"/>
      </component_ref>
      <component_ref component="Cytosol">
         <component_ref component="calcium_dynamics">
            <component_ref component="calcium_buffer_dynamics"/>
         </component_ref>
         <component_ref component="sodium_dynamics"/>
         <component_ref component="potassium_dynamics"/>
      </component_ref>
   </group>
   <connection>
      <map_components component_1="environment" component_2="Membrane"/>
      <map_variables variable_1="t" variable_2="t"/>
      <map_variables variable_1="V_tau" variable_2="V_tau"/>
      <map_variables variable_1="F" variable_2="F"/>
      <map_variables variable_1="vol_cyt" variable_2="vol_cyt"/>
      <map_variables variable_1="vol_pmu" variable_2="vol_pmu"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="Cytosol"/>
      <map_variables variable_1="t" variable_2="t"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="Cytosol"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="calcium_dynamics"/>
      <map_variables variable_1="vol_cyt" variable_2="vol_cyt"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="calcium_dynamics"/>
      <map_variables variable_1="J_Ca" variable_2="J_Ca"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="calcium_dynamics"/>
      <map_variables variable_1="J_Ca" variable_2="J_Ca"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="sodium_dynamics"/>
      <map_variables variable_1="vol_cyt" variable_2="vol_cyt"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="sodium_dynamics"/>
      <map_variables variable_1="J_Na" variable_2="J_Na"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="sodium_dynamics"/>
      <map_variables variable_1="J_Na" variable_2="J_Na"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="potassium_dynamics"/>
      <map_variables variable_1="vol_cyt" variable_2="vol_cyt"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="potassium_dynamics"/>
      <map_variables variable_1="J_K" variable_2="J_K"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="potassium_dynamics"/>
      <map_variables variable_1="J_K" variable_2="J_K"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="calcium_buffer_dynamics"/>
      <map_variables variable_1="t" variable_2="t"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="calcium_buffer_dynamics"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="calcium_dynamics" component_2="calcium_buffer_dynamics"/>
      <map_variables variable_1="J_calb" variable_2="J_calb"/>
      <map_variables variable_1="J_cam" variable_2="J_cam"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="L_type_Ca_channel"/>
      <map_variables variable_1="t" variable_2="t"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="L_type_Ca_channel"/>
      <map_variables variable_1="V" variable_2="V"/>
      <map_variables variable_1="VD" variable_2="VD"/>
      <map_variables variable_1="V_Ca" variable_2="V_Ca"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="L_type_Ca_channel"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="calcium_dynamics" component_2="L_type_Ca_channel"/>
      <map_variables variable_1="I_CaL" variable_2="I_CaL"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="PMCA"/>
      <map_variables variable_1="t" variable_2="t"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="PMCA"/>
      <map_variables variable_1="VD" variable_2="VD"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="PMCA"/>
      <map_variables variable_1="atp" variable_2="atp"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="calcium_dynamics" component_2="PMCA"/>
      <map_variables variable_1="I_pmca" variable_2="I_pmca"/>
   </connection>
   <connection>
      <map_components component_1="calcium_buffer_dynamics" component_2="PMCA"/>
      <map_variables variable_1="CaCam" variable_2="CaCam"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="NaCa"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="Ca_o" variable_2="Ca_o"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="NaCa"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="Ca_i" variable_2="Ca_i"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="NaCa"/>
      <map_variables variable_1="VD" variable_2="VD"/>
   </connection>
   <connection>
      <map_components component_1="calcium_dynamics" component_2="NaCa"/>
      <map_variables variable_1="I_xm" variable_2="I_xm"/>
   </connection>
   <connection>
      <map_components component_1="sodium_dynamics" component_2="NaCa"/>
      <map_variables variable_1="I_xm" variable_2="I_xm"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="sodium_pump"/>
      <map_variables variable_1="t" variable_2="t"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="K_o" variable_2="K_o"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="sodium_pump"/>
      <map_variables variable_1="VD" variable_2="VD"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="sodium_pump"/>
      <map_variables variable_1="atp" variable_2="atp"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="K_i" variable_2="K_i"/>
   </connection>
   <connection>
      <map_components component_1="sodium_dynamics" component_2="sodium_pump"/>
      <map_variables variable_1="I_nk" variable_2="I_nk"/>
   </connection>
   <connection>
      <map_components component_1="potassium_dynamics" component_2="sodium_pump"/>
      <map_variables variable_1="I_nk" variable_2="I_nk"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="transient_Na_channel"/>
      <map_variables variable_1="t" variable_2="t"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
   </connection>
   <connection>
      <map_components component_1="Membrane" component_2="transient_Na_channel"/>
      <map_variables variable_1="VD" variable_2="VD"/>
      <map_variables variable_1="V_Na" variable_2="V_Na"/>
   </connection>
   <connection>
      <map_components component_1="sodium_dynamics" component_2="transient_Na_channel"/>
      <map_variables variable_1="I_Na" variable_2="I_Na"/>
   </connection>
   <connection>
      <map_components component_1="Cytosol" component_2="transient_Na_channel"/>
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