- Author:
- Febey <Febey@PC-Febey.hamilton.local>
- Date:
- 2012-06-13 12:22:37+01:00
- Desc:
- Merge
- Permanent Source URI:
- https://models.cellml.org/w/febefrancis/francis_garcia_middleton_2012/rawfile/39ee8962504e78d2fa7bf93b4631b41ca65bdff0/francis_garcia_middleton_2012_spherical.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 30/05/2012 at 11:05:25 using:
COR (0.9.31.1409)
Copyright 2002-2012 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_2012_spherical" cmeta:id="francis_miriam_middleton_2012_spherical" 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="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="pA_per_mM">
<unit units="pA"/>
<unit units="mM" exponent="-1"/>
</units>
<units name="pA_per_mV">
<unit units="pA"/>
<unit units="mV" exponent="-1"/>
</units>
<units name="pA_ms">
<unit units="pA"/>
<unit units="ms"/>
</units>
<units name="mM_per_ms">
<unit units="mM"/>
<unit units="ms" exponent="-1"/>
</units>
<units name="mmole_per_ms">
<unit units="mole" prefix="milli"/>
<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_mMsq_ms">
<unit units="mM" exponent="-2"/>
<unit units="ms" exponent="-1"/>
</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="per_ms">
<unit units="ms" exponent="-1"/>
</units>
<units name="per_mV">
<unit units="mV" exponent="-1"/>
</units>
<units name="sqcm_per_ms">
<unit units="cm" exponent="2"/>
<unit units="ms" exponent="-1"/>
</units>
<units name="sqcm_per_pl">
<unit units="sqcm"/>
<unit units="pl" 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="dia" units="cm" initial_value="30e-4" public_interface="out"/>
<variable name="vol_cyt" units="pl" public_interface="out"/>
<variable name="vol_pmu" units="pl" public_interface="out"/>
<variable name="fr_cyt" units="dimensionless" initial_value="1"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
<ci>vol_cyt</ci>
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<times/>
<ci>fr_cyt</ci>
<ci>vol_pmu</ci>
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<eq/>
<ci>vol_pmu</ci>
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<divide/>
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<times/>
<apply>
<divide/>
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<times/>
<pi/>
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<power/>
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<cn cellml:units="dimensionless">6</cn>
</apply>
<cn type="e-notation" cellml:units="pl">1 <sep/>
9</cn>
</apply>
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<times/>
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<cn cellml:units="cm">1</cn>
<cn cellml:units="cm">1</cn>
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<divide/>
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<times/>
<ci>R</ci>
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</apply>
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</math>
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<component name="Membrane">
<variable name="V" units="mV" 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="dia" units="cm" public_interface="in"/>
<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="anoff" units="mM"/>
<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"/>
<variable name="svr" units="dimensionless" initial_value="6"/>
<variable name="C_m" units="pF"/>
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<divide/>
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<eq/>
<ci>C_m</ci>
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<times/>
<ci>C_sp</ci>
<ci>A_pmu</ci>
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<eq/>
<ci>VD</ci>
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<divide/>
<ci>V</ci>
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<eq/>
<ci>V</ci>
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<times/>
<apply>
<divide/>
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<times/>
<ci>F</ci>
<ci>vol_cyt</ci>
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<times/>
<ci>C_sp</ci>
<ci>A_pmu</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>K_i</ci>
<ci>K_o</ci>
</apply>
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<times/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<minus/>
<ci>Ca_i</ci>
<ci>Ca_o</ci>
</apply>
</apply>
<ci>Na_i</ci>
</apply>
<ci>Na_o</ci>
</apply>
<ci>anoff</ci>
</apply>
</apply>
</apply>
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<eq/>
<ci>anoff</ci>
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<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mV">52.31</cn>
</apply>
<ci>C_sp</ci>
<ci>A_pmu</ci>
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<times/>
<ci>F</ci>
<ci>vol_cyt</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<minus/>
<cn type="e-notation" cellml:units="mM">1.5 <sep/>
-4</cn>
<ci>Ca_o</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="mM">6</cn>
<ci>Na_o</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="mM">140</cn>
<ci>K_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>A_pmu</ci>
<apply>
<divide/>
<apply>
<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/>
-3</cn>
</apply>
<cn cellml:units="pl">1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>V_Ca</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ca_o</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_Na</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>Na_o</ci>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_K</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_o</ci>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Cytosol">
<variable name="t" units="ms" public_interface="in"/>
<variable name="Ca_i" units="mM" initial_value="0.00015" public_interface="out"/>
<variable name="Na_i" units="mM" initial_value="6" public_interface="out"/>
<variable name="K_i" units="mM" initial_value="140" 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>
</apply>
<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_CaT" units="pA" public_interface="in"/>
<variable name="I_CaHVA" 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/>
<apply>
<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>
<ci>I_CaT</ci>
<ci>I_CaHVA</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>I_pmca</ci>
</apply>
</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>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>vol_cyt</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>I_nk</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>I_xm</ci>
</apply>
<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_Ka" units="pA" public_interface="in"/>
<variable name="I_Kir" units="pA" public_interface="in"/>
<variable name="I_KHCN" 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_KHCN</ci>
<ci>I_Ka</ci>
<ci>I_Kdr</ci>
<ci>I_Kir</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>vol_cyt</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>I_K</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<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"/>
<variable name="Calb" units="mM" initial_value="0.0011"/>
<variable name="Cam" units="mM" initial_value="0.0487"/>
<variable name="Calbtot" units="mM" initial_value="0.002"/>
<variable name="Camtot" units="mM" initial_value="0.0489"/>
<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/>
<apply>
<times/>
<ci>kcal_1</ci>
<ci>Calb</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<ci>kcal_2</ci>
<ci>CaCalb</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_cam</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_cam</ci>
<ci>Cam</ci>
</apply>
<apply>
<times/>
<ci>beta_cam</ci>
<ci>CaCam</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>kcam_cb</ci>
<apply>
<times/>
<cn cellml:units="per_mMsq_ms">12000</cn>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>kcam_nb</ci>
<apply>
<times/>
<cn type="e-notation" cellml:units="per_mMsq_ms">3.7 <sep/>
6</cn>
<apply>
<power/>
<ci>Ca_i</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_cam</ci>
<apply>
<times/>
<ci>kcam_cb</ci>
<ci>kcam_nb</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>kcam_cb</ci>
<ci>kcam_nd</ci>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>kcam_cd</ci>
<ci>kcam_nd</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_cam</ci>
<apply>
<times/>
<ci>kcam_cd</ci>
<ci>kcam_nd</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>kcam_cb</ci>
<ci>kcam_nd</ci>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>kcam_cd</ci>
<ci>kcam_nd</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CaCalb</ci>
<apply>
<minus/>
<ci>Calbtot</ci>
<ci>Calb</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>CaCam</ci>
<apply>
<minus/>
<ci>Camtot</ci>
<ci>Cam</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Calb</ci>
</apply>
<apply>
<minus/>
<ci>J_calb</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>Cam</ci>
</apply>
<apply>
<minus/>
<ci>J_cam</ci>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_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_Ca" 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="I_CaL" units="pA" public_interface="out"/>
<variable name="m_cal" units="dimensionless" initial_value="0.0004" public_interface="out"/>
<variable name="h_cal" units="dimensionless"/>
<variable name="g_cal" units="pA_per_mM" initial_value="1158.2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_CaL</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_cal</ci>
<ci>m_cal</ci>
<ci>h_cal</ci>
<apply>
<root/>
<apply>
<times/>
<ci>Ca_i</ci>
<ci>Ca_o</ci>
</apply>
</apply>
<apply>
<sinh/>
<apply>
<minus/>
<ci>VD</ci>
<ci>V_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<sinh/>
<ci>VD</ci>
</apply>
<ci>VD</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>m_cal</ci>
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<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">15</cn>
</apply>
</apply>
<cn cellml:units="mV">7</cn>
</apply>
</apply>
</apply>
</apply>
<ci>m_cal</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">10</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">86.4</cn>
</apply>
<cn cellml:units="mV">23.2</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">0.943</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="T_type_Ca_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_Ca" 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="I_CaT" units="pA" public_interface="out"/>
<variable name="m_cat" units="dimensionless" initial_value="0.1099"/>
<variable name="h_cat" units="dimensionless" initial_value="0.5716"/>
<variable name="g_cat" units="pA_per_mM" initial_value="10"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_CaT</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_cat</ci>
<ci>m_cat</ci>
<ci>h_cat</ci>
<apply>
<root/>
<apply>
<times/>
<ci>Ca_i</ci>
<ci>Ca_o</ci>
</apply>
</apply>
<apply>
<sinh/>
<apply>
<minus/>
<ci>VD</ci>
<ci>V_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<sinh/>
<ci>VD</ci>
</apply>
<ci>VD</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>m_cat</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">63</cn>
</apply>
</apply>
<cn cellml:units="mV">1.5</cn>
</apply>
</apply>
</apply>
</apply>
<ci>m_cat</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">65</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">68</cn>
</apply>
<cn cellml:units="mV">6</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">12</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>h_cat</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>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">76.2</cn>
</apply>
<cn cellml:units="mV">3</cn>
</apply>
</apply>
</apply>
</apply>
<ci>h_cat</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">50</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">72</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">10</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="HVA_Ca_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_Ca" 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="I_CaHVA" units="pA" public_interface="out"/>
<variable name="m_cah" units="dimensionless" initial_value="0.3021"/>
<variable name="h_cah" units="dimensionless" initial_value="0.454"/>
<variable name="g_cah" units="pA_per_mM" initial_value="78.5"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_CaHVA</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_cah</ci>
<ci>m_cah</ci>
<ci>h_cah</ci>
<apply>
<root/>
<apply>
<times/>
<ci>Ca_i</ci>
<ci>Ca_o</ci>
</apply>
</apply>
<apply>
<sinh/>
<apply>
<minus/>
<ci>VD</ci>
<ci>V_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<sinh/>
<ci>VD</ci>
</apply>
<ci>VD</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>m_cah</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">10</cn>
</apply>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
</apply>
</apply>
<ci>m_cah</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">0.1</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">62</cn>
</apply>
<cn cellml:units="mV">13</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">0.05</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>h_cah</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>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">48</cn>
</apply>
<cn cellml:units="mV">5</cn>
</apply>
</apply>
</apply>
</apply>
<ci>h_cah</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">0.5</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">55.6</cn>
</apply>
<cn cellml:units="mV">18</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">0.5</cn>
</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="395.14"/>
<variable name="O_na" units="dimensionless"/>
<variable name="m_na" units="dimensionless" initial_value="0.0758"/>
<variable name="h_na" units="dimensionless" initial_value="0.2272"/>
<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="0.0039"/>
<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="3"/>
<variable name="O_hcn" units="dimensionless" initial_value="0" public_interface="out"/>
<variable name="I_KHCN" units="pA" public_interface="out"/>
<variable name="g_khcn" units="pA_per_mM" initial_value="10"/>
<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>
<apply>
<eq/>
<ci>I_KHCN</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>g_khcn</ci>
<ci>O_hcn</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="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="15"/>
<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="0.0043"/>
<variable name="I_Kdr" units="pA" public_interface="out"/>
<variable name="g_kdr" units="pA_per_mV" initial_value="10"/>
<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="Atype_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_ka" units="dimensionless"/>
<variable name="p_ka" units="dimensionless" initial_value="0.2577"/>
<variable name="q_ka" units="dimensionless" initial_value="0.827"/>
<variable name="I_Ka" units="pA" public_interface="out"/>
<variable name="g_ka" units="pA_per_mV" initial_value="0.2234"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_Ka</ci>
<apply>
<times/>
<ci>g_ka</ci>
<ci>O_ka</ci>
<apply>
<minus/>
<ci>V</ci>
<apply>
<times/>
<ci>V_K</ci>
<ci>V_tau</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>O_ka</ci>
<apply>
<times/>
<apply>
<power/>
<ci>p_ka</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>q_ka</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>p_ka</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">43</cn>
</apply>
</apply>
<cn cellml:units="mV">24</cn>
</apply>
</apply>
</apply>
</apply>
<ci>p_ka</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">2</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">50</cn>
</apply>
<cn cellml:units="mV">23.45</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">1.1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_ka</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>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">56</cn>
</apply>
<cn cellml:units="mV">8</cn>
</apply>
</apply>
</apply>
</apply>
<ci>q_ka</ci>
</apply>
<cn cellml:units="ms">20</cn>
</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="pA_per_mV" initial_value="5"/>
<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">90</cn>
</apply>
<cn cellml:units="mV">12.1</cn>
</apply>
</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="0.555"/>
<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="200"/>
<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>
<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="0.001"/>
<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="10"/>
<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="Membrane_NaCa">
<variable name="t" units="ms" public_interface="in"/>
<variable name="Na_o" units="mM" public_interface="in"/>
<variable name="Na_i" units="mM" public_interface="in"/>
<variable name="Ca_o" units="mM" public_interface="in"/>
<variable name="Ca_i" units="mM" public_interface="in"/>
<variable name="VD" units="dimensionless" public_interface="in"/>
<variable name="I_xm" units="pA" public_interface="out"/>
<variable name="P_E2Dxm" units="dimensionless"/>
<variable name="P_E1Dxm" units="dimensionless"/>
<variable name="P_E1Sxm" units="dimensionless"/>
<variable name="P_E2Sxm" units="dimensionless"/>
<variable name="k_1xm" units="per_ms"/>
<variable name="k_2xm" units="per_ms"/>
<variable name="k_3xm" units="per_ms"/>
<variable name="k_4xm" units="per_ms"/>
<variable name="beta_xm" units="per_ms"/>
<variable name="alpha_xm" units="per_ms"/>
<variable name="K_xmnai" units="mM" initial_value="8.75"/>
<variable name="K_xmnao" units="mM" initial_value="87.5"/>
<variable name="K_xmcai" units="mM" initial_value="0.00138"/>
<variable name="K_xmcao" units="mM" initial_value="1.38"/>
<variable name="delta_xmca" units="dimensionless" initial_value="0.68"/>
<variable name="delta_xmna" units="dimensionless" initial_value="0.32"/>
<variable name="y_xm" units="dimensionless" initial_value="0.343"/>
<variable name="k_xm" units="pA_ms" initial_value="25"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_xm</ci>
<apply>
<times/>
<ci>k_xm</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>k_3xm</ci>
<ci>P_E1Dxm</ci>
<ci>y_xm</ci>
</apply>
<apply>
<times/>
<ci>k_4xm</ci>
<ci>P_E2Dxm</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>y_xm</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
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