- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2009-12-16 12:49:12+13:00
- Desc:
- merge
- Permanent Source URI:
- https://models.fieldml.org/workspace/faber_rudy_2000/rawfile/6f3b07858927d97e55aedbc8bad0b89699e036d2/faber_rudy_modified_version_2000.cellml
<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 31/07/2008 at 3:02:14 at p.m. using:
COR (0.9.31.915)
Copyright 2002-2008 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk
CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
-->
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<article>
<articleinfo>
<title>Action potential and contractility changes in [Na(+)](i) overloaded cardiac myocytes: a simulation study</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model has been curated and is known to run in PCEnv and COR to recreate the published results. The units have been checked and are known to be consistent. The CellML model has been based on a translation of the LRd07 Matlab code which can be downloaded from the Rudy lab website. It is basically the Faber and Rudy 2000 model with the addition of a transient potassium current (Ito) and an updated Irel current.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>ABSTRACT: Sodium overload of cardiac cells can accompany various pathologies and induce fatal cardiac arrhythmias. We investigate effects of elevated intracellular sodium on the cardiac action potential (AP) and on intracellular calcium using the Luo-Rudy model of a mammalian ventricular myocyte. The results are: 1) During rapid pacing, AP duration (APD) shortens in two phases, a rapid phase without Na(+) accumulation and a slower phase that depends on [Na(+)](i). 2) The rapid APD shortening is due to incomplete deactivation (accumulation) of I(Ks). 3) The slow phase is due to increased repolarizing currents I(NaK) and reverse-mode I(NaCa), secondary to elevated [Na(+)](i). 4) Na(+)-overload slows the rate of AP depolarization, allowing time for greater I(Ca(L)) activation; it also enhances reverse-mode I(NaCa). The resulting increased Ca(2+) influx triggers a greater [Ca(2+)](i) transient. 5) Reverse-mode I(NaCa) alone can trigger Ca(2+) release in a voltage and [Na(+)](i)-dependent manner. 6) During I(NaK) block, Na(+) and Ca(2+) accumulate and APD shortens due to enhanced reverse-mode I(NaCa); contribution of I(K(Na)) to APD shortening is negligible. By slowing AP depolarization (hence velocity) and shortening APD, Na(+)-overload acts to enhance inducibility of reentrant arrhythmias. Shortened APD with elevated [Ca(2+)](i) (secondary to Na(+)-overload) also predisposes the myocardium to arrhythmogenic delayed afterdepolarizations.
</para>
<para>
The complete original paper reference is cited below (but again please note that this CellML model is not the exact Faber-Rudy model, instead it is based on a translation of the LRd07 Matlab code which can be downloaded from the Rudy lab website. It is similar to the Faber and Rudy 2000 model with the addition of a transient potassium current (Ito) and an updated Irel current.):
</para>
<para>
Action potential and contractility changes in [Na(+)](i) overloaded cardiac myocytes: a simulation study, Gregory M. Faber and Yoram Rudy, 2000, Biophysical Journal, 78, 2392-2404. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=10777735&dopt=Abstract">PubMed ID: 10777735</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram_faber">
<mediaobject>
<imageobject>
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<title>cell diagram of the shaw and viswanathan models showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
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<imagedata fileref="faber_2000.png"/>
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<caption>A schematic diagram of the Faber and Rudy 2000 cardiac myocyte model.</caption>
</informalfigure>
</sect1>
</article>
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<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>j</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_j</ci>
<ci>j</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel">
<variable units="microA_per_microF" public_interface="out" name="i_Ca_L"/>
<variable units="microA_per_microF" public_interface="out" name="i_CaCa"/>
<variable units="microA_per_microF" public_interface="out" name="i_CaK"/>
<variable units="microA_per_microF" public_interface="out" name="i_CaNa"/>
<variable units="dimensionless" public_interface="out" name="gamma_Nai" initial_value="0.75"/>
<variable units="dimensionless" public_interface="out" name="gamma_Nao" initial_value="0.75"/>
<variable units="dimensionless" public_interface="out" name="gamma_Ki" initial_value="0.75"/>
<variable units="dimensionless" public_interface="out" name="gamma_Ko" initial_value="0.75"/>
<variable units="dimensionless" name="gamma_Cai" initial_value="1"/>
<variable units="dimensionless" name="gamma_Cao" initial_value="0.341"/>
<variable units="microA_per_microF" name="I_CaCa"/>
<variable units="microA_per_microF" name="I_CaK"/>
<variable units="microA_per_microF" name="I_CaNa"/>
<variable units="litre_per_farad_millisecond" name="P_Ca" initial_value="0.00054"/>
<variable units="litre_per_farad_millisecond" name="P_Na" initial_value="6.75e-7"/>
<variable units="litre_per_farad_millisecond" name="P_K" initial_value="1.93e-7"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Cai"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="dimensionless" private_interface="in" name="d"/>
<variable units="dimensionless" private_interface="in" name="f"/>
<variable units="dimensionless" private_interface="in" name="f_Ca"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>I_CaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_Ca</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Cai</ci>
<ci>Cai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Cao</ci>
<ci>Cao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CaNa</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_Na</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Nai</ci>
<ci>Nai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Nao</ci>
<ci>Nao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_K</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Ki</ci>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Ko</ci>
<ci>Ko</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaCa</ci>
<apply>
<times/>
<ci>d</ci>
<ci>f</ci>
<ci>f_Ca</ci>
<ci>I_CaCa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaNa</ci>
<apply>
<times/>
<ci>d</ci>
<ci>f</ci>
<ci>f_Ca</ci>
<ci>I_CaNa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_CaK</ci>
<apply>
<times/>
<ci>d</ci>
<ci>f</ci>
<ci>f_Ca</ci>
<ci>I_CaK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L</ci>
<apply>
<plus/>
<ci>i_CaCa</ci>
<ci>i_CaK</ci>
<ci>i_CaNa</ci>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_d_gate">
<variable units="dimensionless" public_interface="out" name="d" initial_value="0.000005906564"/>
<variable units="per_ms" name="alpha_d"/>
<variable units="per_ms" name="beta_d"/>
<variable units="dimensionless" name="d_infinity"/>
<variable units="ms" name="tau_d"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="millivolt" name="E0_d"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_d</ci>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>d_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>E0_d</ci>
</apply>
<cn cellml:units="millivolt">6.24</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="ms">1</cn>
<ci>d_infinity</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>E0_d</ci>
</apply>
<cn cellml:units="millivolt">6.24</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.035</cn>
<ci>E0_d</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_d</ci>
<apply>
<divide/>
<ci>d_infinity</ci>
<ci>tau_d</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>d_infinity</ci>
</apply>
<ci>tau_d</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_d</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>d</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_d</ci>
<ci>d</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_gate">
<variable units="dimensionless" public_interface="out" name="f" initial_value="0.999390880784"/>
<variable units="per_ms" name="alpha_f"/>
<variable units="per_ms" name="beta_f"/>
<variable units="dimensionless" name="f_infinity"/>
<variable units="ms" name="tau_f"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_infinity</ci>
<apply>
<plus/>
<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="millivolt">32</cn>
</apply>
<cn cellml:units="millivolt">8</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.6</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="millivolt">50</cn>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f</ci>
<apply>
<divide/>
<cn cellml:units="ms">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0197</cn>
<apply>
<exp/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0337</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.02</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_f</ci>
<apply>
<divide/>
<ci>f_infinity</ci>
<ci>tau_f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f_infinity</ci>
</apply>
<ci>tau_f</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_f</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_f</ci>
<ci>f</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_Ca_gate">
<variable units="dimensionless" public_interface="out" name="f_Ca"/>
<variable units="millimolar" name="Km_Ca" initial_value="0.0006"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>f_Ca</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Cai</ci>
<ci>Km_Ca</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel">
<variable units="microA_per_microF" public_interface="out" name="i_Ca_T"/>
<variable units="milliS_per_microF" name="g_CaT" initial_value="0.05"/>
<variable units="millivolt" public_interface="in" name="E_Ca"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="b"/>
<variable units="dimensionless" private_interface="in" name="g"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_T</ci>
<apply>
<times/>
<ci>g_CaT</ci>
<ci>b</ci>
<ci>b</ci>
<ci>g</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_b_gate">
<variable units="dimensionless" public_interface="out" name="b" initial_value="0.001378275288"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="dimensionless" name="b_inf"/>
<variable units="ms" name="tau_b"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>b_inf</ci>
<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="millivolt">14</cn>
</apply>
</apply>
<cn cellml:units="millivolt">10.8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_b</ci>
<apply>
<plus/>
<cn cellml:units="ms">3.7</cn>
<apply>
<divide/>
<cn cellml:units="ms">6.1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">25</cn>
</apply>
<cn cellml:units="millivolt">4.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>b</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>b_inf</ci>
<ci>b</ci>
</apply>
<ci>tau_b</ci>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_g_gate">
<variable units="dimensionless" public_interface="out" name="g" initial_value="0.988597502434"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="dimensionless" name="g_inf"/>
<variable units="ms" name="tau_g"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_inf</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="millivolt">60</cn>
</apply>
<cn cellml:units="millivolt">5.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_g</ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="ms_per_millivolt">0.875</cn>
</apply>
<ci>V</ci>
</apply>
<cn cellml:units="ms">12</cn>
</apply>
<apply>
<leq/>
<ci>V</ci>
<cn cellml:units="millivolt">0</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="ms">12</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>g</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>g_inf</ci>
<ci>g</ci>
</apply>
<ci>tau_g</ci>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifier_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_Kr"/>
<variable units="milliS_per_microF" name="g_Kr"/>
<variable units="milliS_per_microF" name="G_Kr" initial_value="0.02614"/>
<variable units="dimensionless" name="Rect"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="dimensionless" private_interface="in" name="xr"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Kr</ci>
<apply>
<times/>
<ci>G_Kr</ci>
<apply>
<root/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Rect</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="millivolt">9</cn>
</apply>
<cn cellml:units="millivolt">22.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kr</ci>
<apply>
<times/>
<ci>g_Kr</ci>
<ci>xr</ci>
<ci>Rect</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifier_potassium_current_xr_gate">
<variable units="dimensionless" public_interface="out" name="xr" initial_value="0.000207067204"/>
<variable units="dimensionless" name="xr_infinity"/>
<variable units="ms" name="tau_xr"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xr_infinity</ci>
<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="millivolt">21.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xr</ci>
<apply>
<divide/>
<cn cellml:units="ms">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.00138</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.2</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.123</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.00061</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">38.9</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.145</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">38.9</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xr</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xr_infinity</ci>
<ci>xr</ci>
</apply>
<ci>tau_xr</ci>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifier_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_Ks"/>
<variable units="milliS_per_microF" name="g_Ks"/>
<variable units="milliS_per_microF" name="G_Ks" initial_value="0.433"/>
<variable units="millivolt" name="E_Ks"/>
<variable units="dimensionless" name="PNaK" initial_value="0.01833"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="dimensionless" private_interface="in" name="xs1"/>
<variable units="dimensionless" private_interface="in" name="xs2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Ks</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Ko</ci>
<apply>
<times/>
<ci>PNaK</ci>
<ci>Nao</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>Ki</ci>
<apply>
<times/>
<ci>PNaK</ci>
<ci>Nai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_Ks</ci>
<apply>
<times/>
<ci>G_Ks</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.6</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<cn cellml:units="millimolar" type="e-notation">3.8<sep/>-5</cn>
<ci>Cai</ci>
</apply>
<cn cellml:units="dimensionless">1.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ks</ci>
<apply>
<times/>
<ci>g_Ks</ci>
<ci>xs1</ci>
<ci>xs2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ks</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifier_potassium_current_xs1_gate">
<variable units="dimensionless" public_interface="out" name="xs1" initial_value="0.007136102382"/>
<variable units="dimensionless" name="xs1_infinity"/>
<variable units="ms" name="tau_xs1"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xs1_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">1.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">16.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xs1</ci>
<apply>
<divide/>
<cn cellml:units="ms">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt" type="e-notation">7.19<sep/>-5</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.148</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.000131</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0687</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs1</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs1_infinity</ci>
<ci>xs1</ci>
</apply>
<ci>tau_xs1</ci>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifier_potassium_current_xs2_gate">
<variable units="dimensionless" public_interface="out" name="xs2" initial_value="0.039518996812"/>
<variable units="dimensionless" name="xs2_infinity"/>
<variable units="ms" name="tau_xs2"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xs2_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">1.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">16.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xs2</ci>
<apply>
<divide/>
<cn cellml:units="ms">4</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt" type="e-notation">7.19<sep/>-5</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.148</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.000131</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0687</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs2_infinity</ci>
<ci>xs2</ci>
</apply>
<ci>tau_xs2</ci>
</apply>
</apply>
</math>
</component>
<component name="ATP_sensitive_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_K_ATP"/>
<variable units="milliS_per_microF" name="g_K_ATP"/>
<variable units="dimensionless" name="i_K_ATP_on" initial_value="1"/>
<variable units="dimensionless" name="nATP" initial_value="0.24"/>
<variable units="dimensionless" name="nicholsarea" initial_value="5e-5"/>
<variable units="millimolar" name="ATPi" initial_value="3"/>
<variable units="dimensionless" name="hATP" initial_value="2"/>
<variable units="millimolar" name="kATP" initial_value="0.00025"/>
<variable units="dimensionless" name="pATP"/>
<variable units="milliS_per_microF" name="GKbaraATP"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K_ATP</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_K_ATP_on</ci>
<cn cellml:units="milliS_per_microF">0.000193</cn>
</apply>
<ci>nicholsarea</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>pATP</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>ATPi</ci>
<ci>kATP</ci>
</apply>
<ci>hATP</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>GKbaraATP</ci>
<apply>
<times/>
<ci>g_K_ATP</ci>
<ci>pATP</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">4</cn>
</apply>
<ci>nATP</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_ATP</ci>
<apply>
<times/>
<ci>GKbaraATP</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_current">
<variable units="microA_per_microF" public_interface="out" name="i_to"/>
<variable units="milliS_per_microF" name="g_to"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="ms" public_interface="in" private_interface="out" name="time"/>
<variable units="dimensionless" name="rvdv"/>
<variable units="dimensionless" private_interface="in" name="zdv"/>
<variable units="dimensionless" private_interface="in" name="ydv"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_to</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0</cn>
<cn cellml:units="milliS_per_microF">0.5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rvdv</ci>
<apply>
<exp/>
<apply>
<divide/>
<ci>V</ci>
<cn cellml:units="millivolt">100</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_to</ci>
<apply>
<times/>
<ci>g_to</ci>
<apply>
<power/>
<ci>zdv</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>ydv</ci>
<ci>rvdv</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_current_zdv_gate">
<variable units="dimensionless" public_interface="out" name="zdv" initial_value="0.014537782303"/>
<variable units="per_ms" name="alpha_zdv"/>
<variable units="per_ms" name="beta_zdv"/>
<variable units="ms" name="tau_zdv"/>
<variable units="dimensionless" name="zdv_ss"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_zdv</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">10</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">40</cn>
</apply>
<cn cellml:units="millivolt">25</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">40</cn>
</apply>
<cn cellml:units="millivolt">25</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_zdv</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">10</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">90</cn>
</apply>
</apply>
<cn cellml:units="millivolt">25</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">90</cn>
</apply>
</apply>
<cn cellml:units="millivolt">25</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_zdv</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_zdv</ci>
<ci>beta_zdv</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>zdv_ss</ci>
<apply>
<divide/>
<ci>alpha_zdv</ci>
<apply>
<plus/>
<ci>alpha_zdv</ci>
<ci>beta_zdv</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>zdv</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>zdv_ss</ci>
<ci>zdv</ci>
</apply>
<ci>tau_zdv</ci>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_current_ydv_gate">
<variable units="dimensionless" public_interface="out" name="ydv" initial_value="0.99993940527"/>
<variable units="per_ms" name="alpha_ydv"/>
<variable units="per_ms" name="beta_ydv"/>
<variable units="ms" name="tau_ydv"/>
<variable units="dimensionless" name="ydv_ss"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_ydv</ci>
<apply>
<divide/>
<cn cellml:units="per_ms">0.015</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">60</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_ydv</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">0.1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">25</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">25</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ydv</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_ydv</ci>
<ci>beta_ydv</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ydv_ss</ci>
<apply>
<divide/>
<ci>alpha_ydv</ci>
<apply>
<plus/>
<ci>alpha_ydv</ci>
<ci>beta_ydv</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ydv</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ydv_ss</ci>
<ci>ydv</ci>
</apply>
<ci>tau_ydv</ci>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_K1"/>
<variable units="millivolt" public_interface="out" private_interface="out" name="E_K"/>
<variable units="milliS_per_microF" name="g_K1"/>
<variable units="milliS_per_microF" name="G_K1" initial_value="0.75"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="dimensionless" private_interface="in" name="K1_infinity"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K1</ci>
<apply>
<times/>
<ci>G_K1</ci>
<apply>
<root/>
<apply>
<divide/>
<ci>Ko</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ko</ci>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K1</ci>
<apply>
<times/>
<ci>g_K1</ci>
<ci>K1_infinity</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current_K1_gate">
<variable units="dimensionless" public_interface="out" name="K1_infinity"/>
<variable units="per_ms" name="alpha_K1"/>
<variable units="per_ms" name="beta_K1"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_K1</ci>
<apply>
<divide/>
<cn cellml:units="per_ms">1.02</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.2385</cn>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
<cn cellml:units="millivolt">59.215</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_K1</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.49124</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.08032</cn>
<apply>
<plus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
<cn cellml:units="millivolt">5.476</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.06175</cn>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
<cn cellml:units="millivolt">594.31</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.5143</cn>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
<cn cellml:units="millivolt">4.753</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K1_infinity</ci>
<apply>
<divide/>
<ci>alpha_K1</ci>
<apply>
<plus/>
<ci>alpha_K1</ci>
<ci>beta_K1</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="plateau_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_Kp"/>
<variable units="milliS_per_microF" name="g_Kp" initial_value="0.00552"/>
<variable units="dimensionless" name="Kp"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Kp</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="millivolt">7.488</cn>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">5.98</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kp</ci>
<apply>
<times/>
<ci>g_Kp</ci>
<ci>Kp</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_activated_potassium_current">
<variable units="microA_per_microF" public_interface="out" name="i_K_Na"/>
<variable units="milliS_per_microF" name="g_K_Na" initial_value="0.12848"/>
<variable units="dimensionless" name="nKNa" initial_value="2.8"/>
<variable units="dimensionless" name="pona"/>
<variable units="dimensionless" name="pov"/>
<variable units="millimolar" name="kdKNa" initial_value="66"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>pona</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.85</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>kdKNa</ci>
<ci>Nai</ci>
</apply>
<ci>nKNa</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>pov</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.8</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.65</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">125</cn>
</apply>
<cn cellml:units="millivolt">15</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_Na</ci>
<apply>
<times/>
<ci>g_K_Na</ci>
<ci>pona</ci>
<ci>pov</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sarcolemmal_calcium_pump">
<variable units="microA_per_microF" public_interface="out" name="i_p_Ca"/>
<variable units="millimolar" name="K_mpCa" initial_value="0.0005"/>
<variable units="microA_per_microF" name="I_pCa" initial_value="1.15"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_p_Ca</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_pCa</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>K_mpCa</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_background_current">
<variable units="microA_per_microF" public_interface="out" name="i_Na_b"/>
<variable units="milliS_per_microF" name="g_Nab" initial_value="0.004"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Na_b</ci>
<apply>
<times/>
<ci>g_Nab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_background_current">
<variable units="microA_per_microF" public_interface="out" name="i_Ca_b"/>
<variable units="milliS_per_microF" name="g_Cab" initial_value="0.003016"/>
<variable units="millivolt" public_interface="out" name="E_Ca"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cao</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_b</ci>
<apply>
<times/>
<ci>g_Cab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump">
<variable units="microA_per_microF" public_interface="out" name="i_NaK"/>
<variable units="microA_per_microF" name="I_NaK" initial_value="2.25"/>
<variable units="dimensionless" name="f_NaK"/>
<variable units="millimolar" name="K_mNai" initial_value="10"/>
<variable units="millimolar" name="K_mKo" initial_value="1.5"/>
<variable units="dimensionless" name="sigma"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">7</cn>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Nao</ci>
<cn cellml:units="millimolar">67.3</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_NaK</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1245</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0365</cn>
<ci>sigma</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_NaK</ci>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>I_NaK</ci>
<ci>f_NaK</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_mNai</ci>
<ci>Nai</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>K_mKo</ci>
<ci>Ko</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="non_specific_calcium_activated_current">
<variable units="microA_per_microF" public_interface="out" name="i_ns_Ca"/>
<variable units="microA_per_microF" public_interface="out" name="i_ns_Na"/>
<variable units="microA_per_microF" public_interface="out" name="i_ns_K"/>
<variable units="litre_per_farad_millisecond" name="P_ns_Ca"/>
<variable units="dimensionless" public_interface="in" name="gamma_Nai"/>
<variable units="dimensionless" public_interface="in" name="gamma_Nao"/>
<variable units="dimensionless" public_interface="in" name="gamma_Ki"/>
<variable units="dimensionless" public_interface="in" name="gamma_Ko"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Ko"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Ki"/>
<variable units="microA_per_microF" name="I_ns_Na"/>
<variable units="microA_per_microF" name="I_ns_K"/>
<variable units="millimolar" name="K_m_ns_Ca" initial_value="0.0012"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>P_ns_Ca</ci>
<cn cellml:units="litre_per_farad_millisecond" type="e-notation">1.75<sep/>-7</cn>
</apply>
<apply>
<eq/>
<ci>I_ns_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ns_Ca</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Nai</ci>
<ci>Nai</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Nao</ci>
<ci>Nao</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_ns_K</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_ns_Ca</ci>
<apply>
<power/>
<cn cellml:units="dimensionless">1</cn>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Ki</ci>
<ci>Ki</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Ko</ci>
<ci>Ko</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_ns_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_ns_Na</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_m_ns_Ca</ci>
<ci>Cai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_ns_K</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_ns_K</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_m_ns_Ca</ci>
<ci>Cai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_ns_Ca</ci>
<apply>
<plus/>
<ci>i_ns_Na</ci>
<ci>i_ns_K</ci>
</apply>
</apply>
</math>
</component>
<component name="Na_Ca_exchanger">
<variable units="microA_per_microF" public_interface="out" name="i_NaCa"/>
<variable units="microA_per_microF" name="c1" initial_value="0.00025"/>
<variable units="dimensionless" name="c2" initial_value="0.0001"/>
<variable units="dimensionless" name="gamma" initial_value="0.15"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="in" name="Nai"/>
<variable units="millimolar" public_interface="in" name="Nao"/>
<variable units="millimolar" public_interface="in" name="Cai"/>
<variable units="millimolar" public_interface="in" name="Cao"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>c1</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cao</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="millimolar4">1</cn>
<apply>
<times/>
<ci>c2</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Nai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cao</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_dynamics">
<variable units="millimolar_per_ms" public_interface="in" name="i_rel"/>
<variable units="millimolar_per_ms" public_interface="out" name="i_up"/>
<variable units="millimolar_per_ms" public_interface="out" name="i_leak"/>
<variable units="millimolar_per_ms" public_interface="out" name="i_tr"/>
<variable units="ms" name="tau_tr" initial_value="120"/>
<variable units="millimolar" name="CSQN_max" initial_value="10"/>
<variable units="millimolar" name="K_mCSQN" initial_value="0.8"/>
<variable units="millimolar" name="K_mup" initial_value="0.00092"/>
<variable units="per_ms" name="K_leak"/>
<variable units="millimolar_per_ms" name="I_up" initial_value="0.00875"/>
<variable units="millimolar" name="Ca_NSR_max" initial_value="15"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="millimolar" public_interface="out" name="CaT" initial_value="0.01544711"/>
<variable units="millimolar" public_interface="out" name="Cao" initial_value="1.8"/>
<variable units="millimolar" public_interface="out" name="Ca_JSR"/>
<variable units="millimolar" public_interface="out" name="JSR" initial_value="8.290468"/>
<variable units="millimolar" public_interface="out" name="NSR" initial_value="1.516756041281"/>
<variable units="millimolar" public_interface="out" name="Cai"/>
<variable units="millimolar" public_interface="out" name="bjsr"/>
<variable units="millimolar2" public_interface="out" name="cjsr"/>
<variable units="millimolar" public_interface="out" name="bmyo"/>
<variable units="millimolar2" public_interface="out" name="cmyo"/>
<variable units="millimolar3" public_interface="out" name="dmyo"/>
<variable units="micro_litre" public_interface="in" name="V_myo"/>
<variable units="cm2" public_interface="in" name="A_cap"/>
<variable units="micro_litre" public_interface="in" name="V_JSR"/>
<variable units="micro_litre" public_interface="in" name="V_NSR"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaCa"/>
<variable units="microA_per_microF" public_interface="in" name="i_CaCa"/>
<variable units="microA_per_microF" public_interface="in" name="i_p_Ca"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca_b"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ca_T"/>
<variable units="millimolar" name="K_mTRPN" initial_value="0.0005"/>
<variable units="millimolar" name="K_mCMDN" initial_value="0.00238"/>
<variable units="millimolar" name="TRPN_max" initial_value="0.07"/>
<variable units="millimolar" name="CMDN_max" initial_value="0.05"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>bjsr</ci>
<apply>
<plus/>
<ci>CSQN_max</ci>
<ci>K_mCSQN</ci>
<apply>
<minus/>
<ci>JSR</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>cjsr</ci>
<apply>
<times/>
<ci>K_mCSQN</ci>
<ci>JSR</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_JSR</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<root/>
<apply>
<plus/>
<apply>
<power/>
<ci>bjsr</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>cjsr</ci>
</apply>
</apply>
</apply>
<ci>bjsr</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>bmyo</ci>
<apply>
<plus/>
<ci>CMDN_max</ci>
<ci>TRPN_max</ci>
<ci>K_mCMDN</ci>
<ci>K_mTRPN</ci>
<apply>
<minus/>
<ci>CaT</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>cmyo</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>K_mCMDN</ci>
<ci>K_mTRPN</ci>
</apply>
<apply>
<times/>
<ci>TRPN_max</ci>
<ci>K_mCMDN</ci>
</apply>
<apply>
<times/>
<ci>CMDN_max</ci>
<ci>K_mTRPN</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>CaT</ci>
</apply>
<apply>
<plus/>
<ci>K_mTRPN</ci>
<ci>K_mCMDN</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dmyo</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>K_mTRPN</ci>
</apply>
<ci>K_mCMDN</ci>
<ci>CaT</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Cai</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<root/>
<apply>
<minus/>
<apply>
<power/>
<ci>bmyo</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>cmyo</ci>
</apply>
</apply>
</apply>
<apply>
<cos/>
<apply>
<divide/>
<apply>
<arccos/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">9</cn>
<ci>bmyo</ci>
<ci>cmyo</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<power/>
<ci>bmyo</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">27</cn>
<ci>dmyo</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<apply>
<root/>
<apply>
<power/>
<apply>
<minus/>
<apply>
<power/>
<ci>bmyo</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>cmyo</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<ci>bmyo</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_up</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>I_up</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>K_mup</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>K_leak</ci>
<apply>
<divide/>
<ci>I_up</ci>
<ci>Ca_NSR_max</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_leak</ci>
<apply>
<times/>
<ci>K_leak</ci>
<ci>NSR</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_tr</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>NSR</ci>
<ci>Ca_JSR</ci>
</apply>
<ci>tau_tr</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>JSR</ci>
</apply>
<apply>
<minus/>
<ci>i_tr</ci>
<ci>i_rel</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>NSR</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>i_tr</ci>
</apply>
<ci>V_JSR</ci>
</apply>
<ci>V_NSR</ci>
</apply>
<ci>i_leak</ci>
</apply>
<ci>i_up</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>CaT</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="microF_per_cm2">1</cn>
</apply>
<ci>A_cap</ci>
<apply>
<plus/>
<ci>i_CaCa</ci>
<ci>i_Ca_T</ci>
<ci>i_p_Ca</ci>
<ci>i_Ca_b</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>i_NaCa</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>i_rel</ci>
<ci>V_JSR</ci>
</apply>
<ci>V_myo</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>i_leak</ci>
<ci>i_up</ci>
</apply>
<ci>V_NSR</ci>
</apply>
<ci>V_myo</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="CICR_current">
<variable units="mM_per_millivolt_ms" name="kappa" initial_value="0.125"/>
<variable units="ms" name="tau" initial_value="4.75"/>
<variable units="millimolar" name="K_relss" initial_value="1"/>
<variable units="dimensionless" name="qn" initial_value="9"/>
<variable units="millimolar_per_mV" public_interface="out" name="alpha_rel"/>
<variable units="ms" public_interface="out" name="tau_rel"/>
<variable units="millimolar_per_ms" public_interface="out" name="I_relss"/>
<variable units="millimolar_per_ms" public_interface="out" name="i_rel" initial_value="-0.000000000000000000474565"/>
<variable units="microA_per_microF" public_interface="in" name="i_CaCa"/>
<variable units="millimolar" public_interface="in" name="Ca_JSR"/>
<variable units="ms" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_rel</ci>
<apply>
<times/>
<ci>kappa</ci>
<ci>tau</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_relss</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_CaCa</ci>
<ci>alpha_rel</ci>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_relss</ci>
<ci>Ca_JSR</ci>
</apply>
<ci>qn</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_rel</ci>
<apply>
<divide/>
<ci>tau</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<cn cellml:units="millimolar">0.0123</cn>
<ci>Ca_JSR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>i_rel</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>I_relss</ci>
<ci>i_rel</ci>
</apply>
</apply>
<ci>tau_rel</ci>
</apply>
</apply>
</math>
</component>
<component name="ionic_concentrations">
<variable units="millimolar" public_interface="out" name="Nai" initial_value="10"/>
<variable units="millimolar" public_interface="out" name="Nao" initial_value="140"/>
<variable units="millimolar" public_interface="out" name="Ki" initial_value="144.473230653346"/>
<variable units="millimolar" public_interface="out" name="Ko" initial_value="5.4"/>
<variable units="cm2" public_interface="in" name="A_cap"/>
<variable units="micro_litre" public_interface="in" name="V_myo"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="microA_per_microF" public_interface="in" name="i_Na"/>
<variable units="microA_per_microF" public_interface="in" name="i_CaNa"/>
<variable units="microA_per_microF" public_interface="in" name="i_Na_b"/>
<variable units="microA_per_microF" public_interface="in" name="i_ns_Na"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaCa"/>
<variable units="microA_per_microF" public_interface="in" name="i_NaK"/>
<variable units="microA_per_microF" public_interface="in" name="i_CaK"/>
<variable units="microA_per_microF" public_interface="in" name="i_Kr"/>
<variable units="microA_per_microF" public_interface="in" name="i_Ks"/>
<variable units="microA_per_microF" public_interface="in" name="i_K1"/>
<variable units="microA_per_microF" public_interface="in" name="i_Kp"/>
<variable units="microA_per_microF" public_interface="in" name="i_K_Na"/>
<variable units="microA_per_microF" public_interface="in" name="i_ns_K"/>
<variable units="microA_per_microF" public_interface="in" name="I_st"/>
<variable units="microA_per_microF" public_interface="in" name="i_K_ATP"/>
<variable units="microA_per_microF" public_interface="in" name="i_to"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Nai</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="microF_per_cm2">1</cn>
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<plus/>
<ci>i_Na</ci>
<ci>i_CaNa</ci>
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<times/>
<ci>i_NaCa</ci>
<cn cellml:units="dimensionless">3</cn>
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<apply>
<times/>
<ci>i_NaK</ci>
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</apply>
</apply>
<ci>A_cap</ci>
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<apply>
<times/>
<ci>V_myo</ci>
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</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ki</ci>
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<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="microF_per_cm2">1</cn>
</apply>
<apply>
<plus/>
<ci>I_st</ci>
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<ci>i_Kr</ci>
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<ci>i_K_ATP</ci>
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<ci>i_Kp</ci>
<ci>i_K_Na</ci>
<ci>i_ns_K</ci>
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<times/>
<apply>
<minus/>
<ci>i_NaK</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>A_cap</ci>
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<apply>
<times/>
<ci>V_myo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="geometry">
<variable units="mm" name="preplength" initial_value="0.1"/>
<variable units="mm" name="radius" initial_value="0.011"/>
<variable units="micro_litre" name="volume"/>
<variable units="micro_litre" public_interface="out" name="V_myo"/>
<variable units="micro_litre" public_interface="out" name="V_JSR"/>
<variable units="micro_litre" public_interface="out" name="V_NSR"/>
<variable units="cm2" public_interface="out" name="A_cap" initial_value="1.534e-4"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
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<eq/>
<ci>volume</ci>
<apply>
<times/>
<pi/>
<ci>preplength</ci>
<apply>
<power/>
<ci>radius</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_myo</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.68</cn>
<ci>volume</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_JSR</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0048</cn>
<ci>volume</ci>
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</apply>
<apply>
<eq/>
<ci>V_NSR</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0552</cn>
<ci>volume</ci>
</apply>
</apply>
</math>
</component>
<component name="transmembrane_currents"/>
<component name="intracellular_currents"/>
<component name="Ions_n_reversal_potentials"/>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="cell">
<component_ref component="geometry"/>
<component_ref component="transmembrane_currents">
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f_Ca_gate"/>
</component_ref>
<component_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_b_gate"/>
<component_ref component="T_type_Ca_channel_g_gate"/>
</component_ref>
<component_ref component="rapid_delayed_rectifier_potassium_current">
<component_ref component="rapid_delayed_rectifier_potassium_current_xr_gate"/>
</component_ref>
<component_ref component="slow_delayed_rectifier_potassium_current">
<component_ref component="slow_delayed_rectifier_potassium_current_xs1_gate"/>
<component_ref component="slow_delayed_rectifier_potassium_current_xs2_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
<component_ref component="transient_outward_current">
<component_ref component="transient_outward_current_zdv_gate"/>
<component_ref component="transient_outward_current_ydv_gate"/>
</component_ref>
<component_ref component="Na_Ca_exchanger"/>
<component_ref component="plateau_potassium_current"/>
<component_ref component="sodium_activated_potassium_current"/>
<component_ref component="ATP_sensitive_potassium_current"/>
<component_ref component="sodium_background_current"/>
<component_ref component="calcium_background_current"/>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="non_specific_calcium_activated_current"/>
</component_ref>
<component_ref component="intracellular_currents">
<component_ref component="sarcolemmal_calcium_pump"/>
</component_ref>
<component_ref component="Ions_n_reversal_potentials">
<component_ref component="ionic_concentrations"/>
<component_ref component="calcium_dynamics"/>
</component_ref>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
<component_ref component="fast_sodium_current_j_gate"/>
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f_Ca_gate"/>
</component_ref>
<component_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_b_gate"/>
<component_ref component="T_type_Ca_channel_g_gate"/>
</component_ref>
<component_ref component="rapid_delayed_rectifier_potassium_current">
<component_ref component="rapid_delayed_rectifier_potassium_current_xr_gate"/>
</component_ref>
<component_ref component="slow_delayed_rectifier_potassium_current">
<component_ref component="slow_delayed_rectifier_potassium_current_xs1_gate"/>
<component_ref component="slow_delayed_rectifier_potassium_current_xs2_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate"/>
</component_ref>
<component_ref component="transient_outward_current">
<component_ref component="transient_outward_current_zdv_gate"/>
<component_ref component="transient_outward_current_ydv_gate"/>
</component_ref>
</group>
<connection>
<map_components component_2="environment" component_1="cell"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="fast_sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="L_type_Ca_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="T_type_Ca_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="rapid_delayed_rectifier_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="transient_outward_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="slow_delayed_rectifier_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="non_specific_calcium_activated_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ionic_concentrations"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_dynamics"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="CICR_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ca_L" variable_1="i_Ca_L"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="T_type_Ca_channel" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ca_T" variable_1="i_Ca_T"/>
</connection>
<connection>
<map_components component_2="rapid_delayed_rectifier_potassium_current" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Kr" variable_1="i_Kr"/>
</connection>
<connection>
<map_components component_2="ATP_sensitive_potassium_current" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K_ATP" variable_1="i_K_ATP"/>
</connection>
<connection>
<map_components component_2="transient_outward_current" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_to" variable_1="i_to"/>
</connection>
<connection>
<map_components component_2="slow_delayed_rectifier_potassium_current" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ks" variable_1="i_Ks"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="sodium_activated_potassium_current" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K_Na" variable_1="i_K_Na"/>
</connection>
<connection>
<map_components component_2="Na_Ca_exchanger" component_1="cell"/>
<map_variables variable_2="V" variable_1="V"/>
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