- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2010-08-03 22:09:18+12:00
- Desc:
- Replaced the term +beta_Na3*IC_Na2 in the equation for IC_Na2 with +beta_Na3*C_Na2 in agreement with the paper and the figure (Sander Land).
- Permanent Source URI:
- https://models.cellml.org/workspace/bondarenko_szigeti_bett_kim_rasmusson_2004/rawfile/54d69726aa2a7d415ef77371ad66d5cfdb870469/bondarenko_szigeti_bett_kim_rasmusson_2004_apical.cellml
<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 04/12/2007 at 15:20:38 using:
COR (0.9.31.821)
Copyright 2002-2007 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/
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" cmeta:id="bondarenko_2004_apical" name="bondarenko_2004_apical">
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<article>
<articleinfo>
<title>Computer model of action potential of mouse ventricular myocytes</title>
<author>
<firstname>Noble</firstname>
<surname>Penny</surname>
<affiliation>
<shortaffil>Oxford University</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This CellML model runs in both OpenCell and COR to reproduce the the action potential traces from Figure 16 of the publication. This model represents the APICAL CELL variant as described in Bondarenko et al.'s 2004 paper.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: We have developed a mathematical model of the mouse ventricular myocyte action potential (AP) from voltage-clamp data of the underlying currents and Ca2+ transients. Wherever possible, we used Markov models to represent the molecular structure and function of ion channels. The model includes detailed intracellular Ca2+ dynamics, with simulations of localized events such as sarcoplasmic Ca2+ release into a small intracellular volume bounded by the sarcolemma and sarcoplasmic reticulum. Transporter-mediated Ca2+ fluxes from the bulk cytosol are closely matched to the experimentally reported values and predict stimulation rate-dependent changes in Ca2+ transients. Our model reproduces the properties of cardiac myocytes from two different regions of the heart: the apex and the septum. The septum has a relatively prolonged AP, which reflects a relatively small contribution from the rapid transient outward K+ current in the septum. The attribution of putative molecular bases for several of the component currents enables our mouse model to be used to simulate the behavior of genetically modified transgenic mice.
</para>
<para>
The original paper reference is cited below:
</para>
<para>
Computer model of action potential of mouse ventricular myocytes, Vladimir E. Bondarenko, Gyula P. Szigeti, Glenna C. L. Bett, Song-Jung Kim, and Randall L. Rasmusson, 2004,
<emphasis>American Journal of Physiology</emphasis>, 287, H1378-H1403.
<ulink url="http://www.ncbi.nlm.nih.gov/pubmed/15142845">PubMed ID: 15142845</ulink>
</para>
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<title>cell diagram</title>
</objectinfo>
<imagedata fileref="bondarenko_2004.png"/>
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<caption>Schematic diagram of the mouse model ionic currents and calcium fluxes.</caption>
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<informalfigure float="0" id="fig_reaction_diagram">
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<title>reaction diagram</title>
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<caption>State diagram of the Markov model for the sodium channel. <emphasis>C<subscript>Na</subscript>
</emphasis> denotes a closed channel state, <emphasis>O<subscript>Na</subscript>
</emphasis> is the open state, <emphasis>IF<subscript>Na</subscript>
</emphasis> represents the fast, inactivated state, <emphasis>I1<subscript>Na</subscript>
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</emphasis> are the intermediate inactivated states, and <emphasis>IC2<subscript>Na</subscript>
</emphasis> and <emphasis>IC3<subscript>Na</subscript>
</emphasis> are the closed-inactivation states.</caption>
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<times/>
<ci>k_plus_htrpn</ci>
<ci>Cai</ci>
<apply>
<minus/>
<ci>HTRPN_tot</ci>
<ci>HTRPN_Ca</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_plus_ltrpn</ci>
<ci>Cai</ci>
<apply>
<minus/>
<ci>LTRPN_tot</ci>
<ci>LTRPN_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k_minus_htrpn</ci>
<ci>HTRPN_Ca</ci>
</apply>
<apply>
<times/>
<ci>k_minus_ltrpn</ci>
<ci>LTRPN_Ca</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_RyR</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millisecond">0.04</cn>
</apply>
<ci>P_RyR</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.1</cn>
<ci>i_CaL</ci>
</apply>
<ci>i_CaL_max</ci>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<cn cellml:units="millivolt2">648</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_buffering">
<variable units="micromolar" public_interface="out" name="LTRPN_tot" initial_value="70"/>
<variable units="micromolar" public_interface="out" name="HTRPN_tot" initial_value="140"/>
<variable units="micromolar" public_interface="out" name="LTRPN_Ca" initial_value="11.2684"/>
<variable units="micromolar" public_interface="out" name="HTRPN_Ca" initial_value="125.29"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="micromolar" public_interface="in" name="Cai"/>
<variable units="per_micromolar_millisecond" public_interface="in" name="k_plus_htrpn"/>
<variable units="per_millisecond" public_interface="in" name="k_minus_htrpn"/>
<variable units="per_micromolar_millisecond" public_interface="in" name="k_plus_ltrpn"/>
<variable units="per_millisecond" public_interface="in" name="k_minus_ltrpn"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>LTRPN_Ca</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_plus_ltrpn</ci>
<ci>Cai</ci>
<apply>
<minus/>
<ci>LTRPN_tot</ci>
<ci>LTRPN_Ca</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_minus_ltrpn</ci>
<ci>LTRPN_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>HTRPN_Ca</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_plus_htrpn</ci>
<ci>Cai</ci>
<apply>
<minus/>
<ci>HTRPN_tot</ci>
<ci>HTRPN_Ca</ci>
</apply>
</apply>
<apply>
<times/>
<ci>k_minus_htrpn</ci>
<ci>HTRPN_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ryanodine_receptors">
<variable units="dimensionless" public_interface="out" name="P_O1" initial_value="0.149102e-4"/>
<variable units="dimensionless" public_interface="out" name="P_O2" initial_value="0.951726e-10"/>
<variable units="dimensionless" public_interface="out" name="P_C1"/>
<variable units="dimensionless" public_interface="out" name="P_C2" initial_value="0.16774e-3"/>
<variable units="micromolar4_per_millisecond" name="k_plus_a" initial_value="0.006075"/>
<variable units="per_millisecond" name="k_minus_a" initial_value="0.07125"/>
<variable units="micromolar3_per_millisecond" name="k_plus_b" initial_value="0.00405"/>
<variable units="per_millisecond" name="k_minus_b" initial_value="0.965"/>
<variable units="per_millisecond" name="k_plus_c" initial_value="0.009"/>
<variable units="per_millisecond" name="k_minus_c" initial_value="0.0008"/>
<variable units="dimensionless" name="m" initial_value="3"/>
<variable units="dimensionless" name="n" initial_value="4"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="micromolar" public_interface="in" name="Cass"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_O1</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k_plus_a</ci>
<apply>
<power/>
<ci>Cass</ci>
<ci>n</ci>
</apply>
<ci>P_C1</ci>
</apply>
<apply>
<times/>
<ci>k_minus_b</ci>
<ci>P_O2</ci>
</apply>
<apply>
<times/>
<ci>k_minus_c</ci>
<ci>P_C2</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>k_minus_a</ci>
<ci>P_O1</ci>
</apply>
<apply>
<times/>
<ci>k_plus_b</ci>
<apply>
<power/>
<ci>Cass</ci>
<ci>m</ci>
</apply>
<ci>P_O1</ci>
</apply>
<apply>
<times/>
<ci>k_plus_c</ci>
<ci>P_O1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>P_C1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>P_C2</ci>
<ci>P_O1</ci>
<ci>P_O2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_O2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_plus_b</ci>
<apply>
<power/>
<ci>Cass</ci>
<ci>m</ci>
</apply>
<ci>P_O1</ci>
</apply>
<apply>
<times/>
<ci>k_minus_b</ci>
<ci>P_O2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_C2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>k_plus_c</ci>
<ci>P_O1</ci>
</apply>
<apply>
<times/>
<ci>k_minus_c</ci>
<ci>P_C2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_calcium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="L_type_calcium_current_i_CaL" name="i_CaL"/>
<variable units="picoA_per_picoF" public_interface="out" name="i_CaL_max" initial_value="7"/>
<variable units="millivolt" public_interface="out" name="E_CaL" initial_value="63"/>
<variable units="milliS_per_microF" name="g_CaL" initial_value="0.1729"/>
<variable units="dimensionless" name="O" initial_value="0.930308e-18"/>
<variable units="dimensionless" name="C1"/>
<variable units="dimensionless" name="C2" initial_value="0.124216e-3"/>
<variable units="dimensionless" name="C3" initial_value="0.578679e-8"/>
<variable units="dimensionless" name="C4" initial_value="0.119816e-12"/>
<variable units="dimensionless" name="I1" initial_value="0.497923e-18"/>
<variable units="dimensionless" name="I2" initial_value="0.345847e-13"/>
<variable units="dimensionless" name="I3" initial_value="0.185106e-13"/>
<variable units="per_millisecond" name="alpha"/>
<variable units="per_millisecond" name="beta"/>
<variable units="per_millisecond" name="gamma"/>
<variable units="per_millisecond" name="Kpcf"/>
<variable units="per_millisecond" name="Kpcb" initial_value="0.0005"/>
<variable units="per_millisecond" name="Kpc_max" initial_value="0.23324"/>
<variable units="micromolar" name="Kpc_half" initial_value="20"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="micromolar" public_interface="in" name="Cass"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_CaL</ci>
<apply>
<times/>
<ci>g_CaL</ci>
<ci>O</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_CaL</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>O</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha</ci>
<ci>C4</ci>
</apply>
<apply>
<times/>
<ci>Kpcb</ci>
<ci>I1</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.001</cn>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<ci>Kpcf</ci>
<ci>O</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>beta</ci>
<ci>O</ci>
</apply>
<apply>
<times/>
<ci>gamma</ci>
<ci>O</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C1</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>O</ci>
<ci>C2</ci>
<ci>C3</ci>
<ci>C4</ci>
<ci>I1</ci>
<ci>I2</ci>
<ci>I3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>alpha</ci>
<ci>C1</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>beta</ci>
<ci>C3</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta</ci>
<ci>C2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>alpha</ci>
<ci>C2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C3</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>alpha</ci>
<ci>C2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>beta</ci>
<ci>C4</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>beta</ci>
<ci>C3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>alpha</ci>
<ci>C3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C4</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>alpha</ci>
<ci>C3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>beta</ci>
<ci>O</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millisecond">0.01</cn>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>Kpcb</ci>
<ci>beta</ci>
<ci>I1</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<ci>gamma</ci>
<ci>C4</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.002</cn>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>beta</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<ci>Kpcf</ci>
<ci>C4</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="millisecond">4</cn>
<ci>beta</ci>
<ci>Kpcb</ci>
<ci>I3</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>beta</ci>
<ci>C4</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<ci>C4</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millisecond">1</cn>
<ci>gamma</ci>
<ci>Kpcf</ci>
<ci>C4</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>I1</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>gamma</ci>
<ci>O</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.001</cn>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha</ci>
<ci>I3</ci>
</apply>
<apply>
<times/>
<ci>Kpcf</ci>
<ci>I1</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="millisecond">0.01</cn>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha</ci>
<ci>gamma</ci>
<ci>C4</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>beta</ci>
<ci>Kpcf</ci>
<ci>I1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Kpcb</ci>
<ci>I1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>I2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.001</cn>
<apply>
<minus/>
<apply>
<times/>
<ci>Kpcf</ci>
<ci>O</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<ci>I2</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Kpcb</ci>
<ci>I3</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.002</cn>
<apply>
<minus/>
<apply>
<times/>
<ci>Kpcf</ci>
<ci>C4</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>beta</ci>
<ci>I2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma</ci>
<ci>I2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>I3</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.001</cn>
<apply>
<minus/>
<apply>
<times/>
<ci>Kpcf</ci>
<ci>I1</ci>
</apply>
<apply>
<times/>
<ci>alpha</ci>
<ci>I3</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma</ci>
<ci>I2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millisecond">1</cn>
<ci>gamma</ci>
<ci>Kpcf</ci>
<ci>C4</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="millisecond">4</cn>
<ci>beta</ci>
<ci>Kpcb</ci>
<ci>I3</ci>
</apply>
<apply>
<times/>
<ci>Kpcb</ci>
<ci>I3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.4</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">12</cn>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.7</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">40</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<cn cellml:units="millivolt2">10</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.75</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">20</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<cn cellml:units="millivolt2">400</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.12</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">12</cn>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.05</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">12</cn>
</apply>
</apply>
<cn cellml:units="millivolt">13</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Kpc_max</ci>
<ci>Cass</ci>
</apply>
<apply>
<plus/>
<ci>Kpc_half</ci>
<ci>Cass</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Kpcf</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">13</cn>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<power/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.5</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<cn cellml:units="millivolt2">100</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_pump_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="calcium_pump_current_i_pCa" name="i_pCa"/>
<variable units="picoA_per_picoF" name="i_pCa_max" initial_value="1"/>
<variable units="micromolar" name="Km_pCa" initial_value="0.5"/>
<variable units="micromolar" public_interface="in" name="Cai"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_pCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_pCa_max</ci>
<apply>
<power/>
<ci>Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Km_pCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<power/>
<ci>Cai</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_calcium_exchange_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="sodium_calcium_exchange_current_i_NaCa" name="i_NaCa"/>
<variable units="picoA_per_picoF" name="k_NaCa" initial_value="292.8"/>
<variable units="micromolar" name="K_mNa" initial_value="87500"/>
<variable units="micromolar" name="K_mCa" initial_value="1380"/>
<variable units="dimensionless" name="k_sat" initial_value="0.1"/>
<variable units="dimensionless" name="eta" initial_value="0.35"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="micromolar" public_interface="in" name="Nai"/>
<variable units="micromolar" public_interface="in" name="Nao"/>
<variable units="micromolar" public_interface="in" name="Cai"/>
<variable units="micromolar" public_interface="in" name="Cao"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>k_NaCa</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_mNa</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>K_mCa</ci>
<ci>Cao</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>k_sat</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>eta</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>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>eta</ci>
<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>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>eta</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>
<power/>
<ci>Nao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_background_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="calcium_background_current_i_Cab" name="i_Cab"/>
<variable units="milliS_per_microF" name="g_Cab" initial_value="0.000367"/>
<variable units="millivolt" name="E_CaN"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="micromolar" public_interface="in" name="Cai"/>
<variable units="micromolar" public_interface="in" name="Cao"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Cab</ci>
<apply>
<times/>
<ci>g_Cab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_CaN</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_CaN</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>
</math>
</component>
<component name="sodium_concentration">
<variable units="micromolar" public_interface="out" name="Nai" initial_value="14237.1"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="microlitre" public_interface="in" name="Vmyo"/>
<variable units="microF_per_cm2" public_interface="in" name="Cm"/>
<variable units="cm2" public_interface="in" name="Acap"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Na"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_NaCa"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_NaK"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Nab"/>
<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/>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_Nab</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>i_NaK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>i_NaCa</ci>
</apply>
</apply>
</apply>
<ci>Acap</ci>
<ci>Cm</ci>
</apply>
<apply>
<times/>
<ci>Vmyo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="fast_sodium_current_i_Na" name="i_Na"/>
<variable units="millivolt" public_interface="out" name="E_Na"/>
<variable units="milliS_per_microF" name="g_Na" initial_value="13"/>
<variable units="dimensionless" name="O_Na" initial_value="0.713483e-6"/>
<variable units="dimensionless" name="C_Na1" initial_value="0.279132e-3"/>
<variable units="dimensionless" name="C_Na2" initial_value="0.020752"/>
<variable units="dimensionless" name="C_Na3"/>
<variable units="dimensionless" name="I1_Na" initial_value="0.673345e-6"/>
<variable units="dimensionless" name="I2_Na" initial_value="0.155787e-8"/>
<variable units="dimensionless" name="IF_Na" initial_value="0.153176e-3"/>
<variable units="dimensionless" name="IC_Na2" initial_value="0.0113879"/>
<variable units="dimensionless" name="IC_Na3" initial_value="0.34278"/>
<variable units="per_millisecond" name="alpha_Na11"/>
<variable units="per_millisecond" name="beta_Na11"/>
<variable units="per_millisecond" name="alpha_Na12"/>
<variable units="per_millisecond" name="beta_Na12"/>
<variable units="per_millisecond" name="alpha_Na13"/>
<variable units="per_millisecond" name="beta_Na13"/>
<variable units="per_millisecond" name="alpha_Na3"/>
<variable units="per_millisecond" name="beta_Na3"/>
<variable units="per_millisecond" name="alpha_Na2"/>
<variable units="per_millisecond" name="beta_Na2"/>
<variable units="per_millisecond" name="alpha_Na4"/>
<variable units="per_millisecond" name="beta_Na4"/>
<variable units="per_millisecond" name="alpha_Na5"/>
<variable units="per_millisecond" name="beta_Na5"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="micromolar" public_interface="in" name="Nao"/>
<variable units="micromolar" public_interface="in" name="Nai"/>
<variable units="micromolar" public_interface="in" name="Ko"/>
<variable units="micromolar" public_interface="in" name="Ki"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<times/>
<ci>g_Na</ci>
<ci>O_Na</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.9</cn>
<ci>Nao</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1</cn>
<ci>Ko</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.9</cn>
<ci>Nai</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1</cn>
<ci>Ki</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C_Na3</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>O_Na</ci>
<ci>C_Na1</ci>
<ci>C_Na2</ci>
<ci>IF_Na</ci>
<ci>I1_Na</ci>
<ci>I2_Na</ci>
<ci>IC_Na2</ci>
<ci>IC_Na3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Na2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na11</ci>
<ci>C_Na3</ci>
</apply>
<apply>
<times/>
<ci>beta_Na12</ci>
<ci>C_Na1</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na3</ci>
<ci>IC_Na2</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na11</ci>
<ci>C_Na2</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na12</ci>
<ci>C_Na2</ci>
</apply>
<apply>
<times/>
<ci>beta_Na3</ci>
<ci>C_Na2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_Na1</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na12</ci>
<ci>C_Na2</ci>
</apply>
<apply>
<times/>
<ci>beta_Na13</ci>
<ci>O_Na</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na3</ci>
<ci>IF_Na</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na12</ci>
<ci>C_Na1</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na13</ci>
<ci>C_Na1</ci>
</apply>
<apply>
<times/>
<ci>beta_Na3</ci>
<ci>C_Na1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>O_Na</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na13</ci>
<ci>C_Na1</ci>
</apply>
<apply>
<times/>
<ci>beta_Na2</ci>
<ci>IF_Na</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na13</ci>
<ci>O_Na</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na2</ci>
<ci>O_Na</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>IF_Na</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na2</ci>
<ci>O_Na</ci>
</apply>
<apply>
<times/>
<ci>beta_Na3</ci>
<ci>C_Na1</ci>
</apply>
<apply>
<times/>
<ci>beta_Na4</ci>
<ci>I1_Na</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na12</ci>
<ci>IC_Na2</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na2</ci>
<ci>IF_Na</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na3</ci>
<ci>IF_Na</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na4</ci>
<ci>IF_Na</ci>
</apply>
<apply>
<times/>
<ci>beta_Na12</ci>
<ci>IF_Na</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>I1_Na</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na4</ci>
<ci>IF_Na</ci>
</apply>
<apply>
<times/>
<ci>beta_Na5</ci>
<ci>I2_Na</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na4</ci>
<ci>I1_Na</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na5</ci>
<ci>I1_Na</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>I2_Na</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Na5</ci>
<ci>I1_Na</ci>
</apply>
<apply>
<times/>
<ci>beta_Na5</ci>
<ci>I2_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>IC_Na2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na11</ci>
<ci>IC_Na3</ci>
</apply>
<apply>
<times/>
<ci>beta_Na12</ci>
<ci>IF_Na</ci>
</apply>
<apply>
<times/>
<ci>beta_Na3</ci>
<ci>C_Na2</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na11</ci>
<ci>IC_Na2</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na12</ci>
<ci>IC_Na2</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na3</ci>
<ci>IC_Na2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>IC_Na3</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_Na11</ci>
<ci>IC_Na2</ci>
</apply>
<apply>
<times/>
<ci>beta_Na3</ci>
<ci>C_Na3</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_Na11</ci>
<ci>IC_Na3</ci>
</apply>
<apply>
<times/>
<ci>alpha_Na3</ci>
<ci>IC_Na3</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Na11</ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond">3.802</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1027</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">17</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.2</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">150</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Na12</ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond">3.802</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1027</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">15</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.23</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">150</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Na13</ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond">3.802</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.1027</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">12</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.25</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">150</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na11</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.1917</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">20.3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na12</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.2</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">20.3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na13</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.22</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">7.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">20.3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Na3</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond" type="e-notation">7<sep/>-7</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.7</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na3</ci>
<apply>
<plus/>
<cn cellml:units="per_millisecond">0.0084</cn>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond">0.00002</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Na2</ci>
<apply>
<divide/>
<cn cellml:units="per_millisecond">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.188495</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
<cn cellml:units="millivolt">16.6</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.393956</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na2</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>alpha_Na13</ci>
<ci>alpha_Na2</ci>
<ci>alpha_Na3</ci>
</apply>
<apply>
<times/>
<ci>beta_Na13</ci>
<ci>beta_Na3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_Na4</ci>
<apply>
<divide/>
<ci>alpha_Na2</ci>
<cn cellml:units="dimensionless">1000</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na4</ci>
<ci>alpha_Na3</ci>
</apply>
<apply>
<eq/>
<ci>alpha_Na5</ci>
<apply>
<divide/>
<ci>alpha_Na2</ci>
<cn cellml:units="dimensionless">95000</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_Na5</ci>
<apply>
<divide/>
<ci>alpha_Na3</ci>
<cn cellml:units="dimensionless">50</cn>
</apply>
</apply>
</math>
</component>
<component name="sodium_background_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="sodium_background_current_i_Nab" name="i_Nab"/>
<variable units="milliS_per_microF" name="g_Nab" initial_value="0.0026"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Nab</ci>
<apply>
<times/>
<ci>g_Nab</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="potassium_concentration">
<variable units="micromolar" public_interface="out" name="Ki" initial_value="143720"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="microlitre" public_interface="in" name="Vmyo"/>
<variable units="microF_per_cm2" public_interface="in" name="Cm"/>
<variable units="cm2" public_interface="in" name="Acap"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Kto_f"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Kto_s"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_K1"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Ks"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Kss"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Kur"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_Kr"/>
<variable units="picoA_per_picoF" public_interface="in" name="i_NaK"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ki</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_Kto_f</ci>
<ci>i_Kto_s</ci>
<ci>i_K1</ci>
<ci>i_Ks</ci>
<ci>i_Kss</ci>
<ci>i_Kur</ci>
<ci>i_Kr</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaK</ci>
</apply>
</apply>
</apply>
<ci>Acap</ci>
<ci>Cm</ci>
</apply>
<apply>
<times/>
<ci>Vmyo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_transient_outward_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="fast_transient_outward_potassium_current_i_Kto_f" name="i_Kto_f"/>
<variable units="millivolt" public_interface="out" name="E_K"/>
<variable units="milliS_per_microF" name="g_Kto_f" initial_value="0.4067"/>
<variable units="dimensionless" name="ato_f" initial_value="0.265563e-2"/>
<variable units="dimensionless" name="ito_f" initial_value="0.999977"/>
<variable units="per_millisecond" name="alpha_a"/>
<variable units="per_millisecond" name="beta_a"/>
<variable units="per_millisecond" name="alpha_i"/>
<variable units="per_millisecond" name="beta_i"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="micromolar" public_interface="in" name="Ki"/>
<variable units="micromolar" public_interface="in" name="Ko"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kto_f</ci>
<apply>
<times/>
<ci>g_Kto_f</ci>
<apply>
<power/>
<ci>ato_f</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>ito_f</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</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/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ato_f</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_a</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>ato_f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_a</ci>
<ci>ato_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ito_f</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_i</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>ito_f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_i</ci>
<ci>ito_f</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_a</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.18064</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.03577</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_a</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.3956</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.06237</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_i</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.000152</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">13.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0067083</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">33.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_i</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.00095</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">33.5</cn>
</apply>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.051335</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">33.5</cn>
</apply>
<cn cellml:units="millivolt">7</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_transient_outward_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="slow_transient_outward_potassium_current_i_Kto_s" name="i_Kto_s"/>
<variable units="dimensionless" public_interface="out" name="ass"/>
<variable units="dimensionless" public_interface="out" name="iss"/>
<variable units="milliS_per_microF" name="g_Kto_s" initial_value="0"/>
<variable units="dimensionless" name="ato_s" initial_value="0.417069e-3"/>
<variable units="dimensionless" name="ito_s" initial_value="0.998543"/>
<variable units="millisecond" name="tau_ta_s"/>
<variable units="millisecond" name="tau_ti_s"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kto_s</ci>
<apply>
<times/>
<ci>g_Kto_s</ci>
<ci>ato_s</ci>
<ci>ito_s</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ato_s</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ass</ci>
<ci>ato_s</ci>
</apply>
<ci>tau_ta_s</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ito_s</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>iss</ci>
<ci>ito_s</ci>
</apply>
<ci>tau_ti_s</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>ass</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">22.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>iss</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">45.2</cn>
</apply>
<cn cellml:units="millivolt">5.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ta_s</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="millisecond">0.493</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0629</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<cn cellml:units="millisecond">2.058</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ti_s</ci>
<apply>
<plus/>
<cn cellml:units="millisecond">270</cn>
<apply>
<divide/>
<cn cellml:units="millisecond">1050</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">45.2</cn>
</apply>
<cn cellml:units="millivolt">5.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="time_independent_potassium_current_i_K1" name="i_K1"/>
<variable units="micromolar" public_interface="in" name="Ko"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_K1</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="milliS_per_microF">0.2938</cn>
<ci>Ko</ci>
</apply>
<apply>
<plus/>
<ci>Ko</ci>
<cn cellml:units="micromolar">210</cn>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0896</cn>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifier_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="slow_delayed_rectifier_potassium_current_i_Ks" name="i_Ks"/>
<variable units="milliS_per_microF" name="g_Ks" initial_value="0.00575"/>
<variable units="dimensionless" name="nKs" initial_value="0.262753e-3"/>
<variable units="per_millisecond" name="alpha_n"/>
<variable units="per_millisecond" name="beta_n"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ks</ci>
<apply>
<times/>
<ci>g_Ks</ci>
<apply>
<power/>
<ci>nKs</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>nKs</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_n</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>nKs</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_n</ci>
<ci>nKs</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_n</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_millisecond">0.00000481333</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.5</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.128</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_n</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.0000953333</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.038</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="ultra_rapidly_activating_delayed_rectifier_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="ultra_rapidly_activating_delayed_rectifier_potassium_current_i_Kur" name="i_Kur"/>
<variable units="milliS_per_microF" name="g_Kur" initial_value="0.16"/>
<variable units="dimensionless" name="aur" initial_value="0.417069e-3"/>
<variable units="dimensionless" name="iur" initial_value="0.998543"/>
<variable units="millisecond" name="tau_aur"/>
<variable units="millisecond" name="tau_iur"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="dimensionless" public_interface="in" name="ass"/>
<variable units="dimensionless" public_interface="in" name="iss"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kur</ci>
<apply>
<times/>
<ci>g_Kur</ci>
<ci>aur</ci>
<ci>iur</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>aur</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ass</ci>
<ci>aur</ci>
</apply>
<ci>tau_aur</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>iur</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>iss</ci>
<ci>iur</ci>
</apply>
<ci>tau_iur</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_aur</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="millisecond">0.493</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0629</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<cn cellml:units="millisecond">2.058</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_iur</ci>
<apply>
<minus/>
<cn cellml:units="millisecond">1200</cn>
<apply>
<divide/>
<cn cellml:units="millisecond">170</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">45.2</cn>
</apply>
<cn cellml:units="millivolt">5.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="non_inactivating_steady_state_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="non_inactivating_steady_state_potassium_current_i_Kss" name="i_Kss"/>
<variable units="milliS_per_microF" name="g_Kss" initial_value="0.05"/>
<variable units="dimensionless" name="aKss" initial_value="0.417069e-3"/>
<variable units="dimensionless" name="iKss" initial_value="1"/>
<variable units="millisecond" name="tau_Kss"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="dimensionless" public_interface="in" name="ass"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kss</ci>
<apply>
<times/>
<ci>g_Kss</ci>
<ci>aKss</ci>
<ci>iKss</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>aKss</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ass</ci>
<ci>aKss</ci>
</apply>
<ci>tau_Kss</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>iKss</ci>
</apply>
<cn cellml:units="per_millisecond">0</cn>
</apply>
<apply>
<eq/>
<ci>tau_Kss</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="millisecond">39.3</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0862</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<cn cellml:units="millisecond">13.17</cn>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifier_potassium_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="rapid_delayed_rectifier_potassium_current_i_Kr" name="i_Kr"/>
<variable units="milliS_per_microF" name="g_Kr" initial_value="0.078"/>
<variable units="dimensionless" name="O_K" initial_value="0.175298e-3"/>
<variable units="dimensionless" name="C_K1" initial_value="0.992513e-3"/>
<variable units="dimensionless" name="C_K2" initial_value="0.641229e-3"/>
<variable units="dimensionless" name="C_K0"/>
<variable units="dimensionless" name="I_K" initial_value="0.319129e-4"/>
<variable units="per_millisecond" name="alpha_a0"/>
<variable units="per_millisecond" name="beta_a0"/>
<variable units="per_millisecond" name="kb" initial_value="0.036778"/>
<variable units="per_millisecond" name="kf" initial_value="0.023761"/>
<variable units="per_millisecond" name="alpha_a1"/>
<variable units="per_millisecond" name="beta_a1"/>
<variable units="per_millisecond" name="alpha_i"/>
<variable units="per_millisecond" name="beta_i"/>
<variable units="millisecond" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="micromolar" public_interface="in" name="Nao"/>
<variable units="micromolar" public_interface="in" name="Nai"/>
<variable units="micromolar" public_interface="in" name="Ko"/>
<variable units="micromolar" public_interface="in" name="Ki"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kr</ci>
<apply>
<times/>
<ci>g_Kr</ci>
<ci>O_K</ci>
<apply>
<minus/>
<ci>V</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.98</cn>
<ci>Ko</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.02</cn>
<ci>Nao</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.98</cn>
<ci>Ki</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.02</cn>
<ci>Nai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>C_K0</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>C_K1</ci>
<ci>C_K2</ci>
<ci>O_K</ci>
<ci>I_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_K2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>kf</ci>
<ci>C_K1</ci>
</apply>
<apply>
<times/>
<ci>beta_a1</ci>
<ci>O_K</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>kb</ci>
<ci>C_K2</ci>
</apply>
<apply>
<times/>
<ci>alpha_a1</ci>
<ci>C_K2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_K1</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_a0</ci>
<ci>C_K0</ci>
</apply>
<apply>
<times/>
<ci>kb</ci>
<ci>C_K2</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_a0</ci>
<ci>C_K1</ci>
</apply>
<apply>
<times/>
<ci>kf</ci>
<ci>C_K1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>O_K</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha_a1</ci>
<ci>C_K2</ci>
</apply>
<apply>
<times/>
<ci>beta_i</ci>
<ci>I_K</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>beta_a1</ci>
<ci>O_K</ci>
</apply>
<apply>
<times/>
<ci>alpha_i</ci>
<ci>O_K</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>I_K</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_i</ci>
<ci>O_K</ci>
</apply>
<apply>
<times/>
<ci>beta_i</ci>
<ci>I_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_a0</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.022348</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.01176</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_a0</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.047002</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0631</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_a1</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.013733</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.038198</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_a1</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.0000689</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.04178</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_i</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.090821</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.023391</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_i</ci>
<apply>
<times/>
<cn cellml:units="per_millisecond">0.006497</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.03268</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="sodium_potassium_pump_current_i_NaK" name="i_NaK"/>
<variable units="picoA_per_picoF" name="i_NaK_max" initial_value="0.88"/>
<variable units="micromolar" name="Km_Nai" initial_value="21000"/>
<variable units="micromolar" name="Km_Ko" initial_value="1500"/>
<variable units="dimensionless" name="f_NaK"/>
<variable units="dimensionless" name="sigma"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="joule_per_mole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_millimole" public_interface="in" name="F"/>
<variable units="micromolar" public_interface="in" name="Nai"/>
<variable units="micromolar" public_interface="in" name="Nao"/>
<variable units="micromolar" public_interface="in" name="Ko"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>i_NaK_max</ci>
<ci>f_NaK</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Km_Nai</ci>
<ci>Nai</ci>
</apply>
<cn cellml:units="dimensionless">1.5</cn>
</apply>
</apply>
</apply>
<ci>Ko</ci>
</apply>
<apply>
<plus/>
<ci>Ko</ci>
<ci>Km_Ko</ci>
</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>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="micromolar">67300</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_activated_chloride_current">
<variable units="picoA_per_picoF" public_interface="out" cmeta:id="calcium_activated_chloride_current_i_ClCa" name="i_ClCa"/>
<variable units="milliS_per_microF" name="g_ClCa" initial_value="10"/>
<variable units="dimensionless" name="O_ClCa"/>
<variable units="millivolt" name="E_Cl" initial_value="-40"/>
<variable units="micromolar" name="Km_Cl" initial_value="10"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="micromolar" public_interface="in" name="Cai"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_ClCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>g_ClCa</ci>
<ci>O_ClCa</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>Km_Cl</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Cl</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>O_ClCa</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.2</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">46.7</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_2="environment" component_1="membrane"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_fluxes"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_buffering"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ryanodine_receptors"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="L_type_calcium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_concentration"/>
<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="potassium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="fast_transient_outward_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="slow_transient_outward_potassium_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="time_independent_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="ultra_rapidly_activating_delayed_rectifier_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="non_inactivating_steady_state_potassium_current"/>
<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="L_type_calcium_current" component_1="membrane"/>
<map_variables variable_2="i_CaL" variable_1="i_CaL"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="calcium_pump_current" component_1="membrane"/>
<map_variables variable_2="i_pCa" variable_1="i_pCa"/>
</connection>
<connection>
<map_components component_2="sodium_calcium_exchange_current" component_1="membrane"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="calcium_background_current" component_1="membrane"/>
<map_variables variable_2="i_Cab" variable_1="i_Cab"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Cao" variable_1="Cao"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current" component_1="membrane"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="sodium_background_current" component_1="membrane"/>
<map_variables variable_2="i_Nab" variable_1="i_Nab"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="sodium_potassium_pump_current" component_1="membrane"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="fast_transient_outward_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_Kto_f" variable_1="i_Kto_f"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
</connection>
<connection>
<map_components component_2="slow_transient_outward_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_Kto_s" variable_1="i_Kto_s"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="time_independent_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
</connection>
<connection>
<map_components component_2="slow_delayed_rectifier_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_Ks" variable_1="i_Ks"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="ultra_rapidly_activating_delayed_rectifier_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_Kur" variable_1="i_Kur"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="non_inactivating_steady_state_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_Kss" variable_1="i_Kss"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="rapid_delayed_rectifier_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_Kr" variable_1="i_Kr"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Ko" variable_1="Ko"/>
<map_variables variable_2="Nao" variable_1="Nao"/>
</connection>
<connection>
<map_components component_2="calcium_activated_chloride_current" component_1="membrane"/>
<map_variables variable_2="i_ClCa" variable_1="i_ClCa"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="calcium_concentration" component_1="membrane"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="Acap" variable_1="Acap"/>
<map_variables variable_2="Vmyo" variable_1="Vmyo"/>
<map_variables variable_2="VNSR" variable_1="VNSR"/>
<map_variables variable_2="VJSR" variable_1="VJSR"/>
<map_variables variable_2="Vss" variable_1="Vss"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="calcium_fluxes" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="sodium_concentration" component_1="membrane"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
<map_variables variable_2="Acap" variable_1="Acap"/>
<map_variables variable_2="Vmyo" variable_1="Vmyo"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="potassium_concentration" component_1="membrane"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
<map_variables variable_2="Acap" variable_1="Acap"/>
<map_variables variable_2="Vmyo" variable_1="Vmyo"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="calcium_fluxes" component_1="calcium_concentration"/>
<map_variables variable_2="Cass" variable_1="Cass"/>
<map_variables variable_2="CaJSR" variable_1="CaJSR"/>
<map_variables variable_2="Cai" variable_1="Cai"/>
<map_variables variable_2="CaNSR" variable_1="CaNSR"/>
<map_variables variable_2="J_rel" variable_1="J_rel"/>
<map_variables variable_2="J_tr" variable_1="J_tr"/>
<map_variables variable_2="J_xfer" variable_1="J_xfer"/>
<map_variables variable_2="J_leak" variable_1="J_leak"/>
<map_variables variable_2="J_up" variable_1="J_up"/>
<map_variables variable_2="J_trpn" variable_1="J_trpn"/>
</connection>
<connection>
<map_components component_2="calcium_buffering" component_1="calcium_concentration"/>
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<rdf:value>Penny's file was modified to add a stimulus protocol component, which allows the model to produce a train of action potentials. The values for duration (0.5ms) and amplitute (-80 picoA_per_picoF) were used. A period of 200ms was used to represent the high heart beat rate of mice.</rdf:value>
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<dc:title>unknown</dc:title>
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<rdf:li>ventricular</rdf:li>
<rdf:li>cardiac action potential</rdf:li>
<rdf:li>Ventricular Myocyte</rdf:li>
<rdf:li>cardiac electrophysiology</rdf:li>
<rdf:li>calcium dynamics</rdf:li>
<rdf:li>ventricular myocyte</rdf:li>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>cardiac</rdf:li>
<rdf:li>myocyte</rdf:li>
<rdf:li>mouse</rdf:li>
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<rdf:value>Fixed e-notation error, updated curation status.</rdf:value>
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<bqs:Pubmed_id>15142845</bqs:Pubmed_id>
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<vCard:Given>James</vCard:Given>
<vCard:Family>Lawson</vCard:Family>
<vCard:Other>Richard</vCard:Other>
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<ns7:endingValue>1000</ns7:endingValue>
<ns7:nonstandard-pointDensity>10000</ns7:nonstandard-pointDensity>
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<rdf:value>Units checked, curated.</rdf:value>
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