- Author:
- Hanne <Hanne@hanne-nielsens-macbook.local>
- Date:
- 2009-11-10 11:08:27+13:00
- Desc:
- Added keywords and removed non pub med reference
- Permanent Source URI:
- https://models.fieldml.org/workspace/mahajan_shiferaw_sato_baher_olcese_xie_yang_chen_restrepo_karma_garfinkel_qu_weiss_2008/rawfile/02efaec322e4a019cb142e4442abd46fccc8aca6/mahajan_shiferaw_sato_baher_olcese_xie_yang_chen_restrepo_karma_garfinkel_qu_weiss_2008.cellml
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<!--
This CellML file was generated on 11/01/2008 at 16:04:29 using:
COR (0.9.31.849)
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/
--><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#" name="mahajan_shiferaw_2008_version01" cmeta:id="mahajan_shiferaw_2008_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<section id="sec_status">
<title>Model Status</title>
<para>
This model is known to run in PCEnv and COR to reproduce the output shown in the publication.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
This CellML model was based on the January 2008 paper:
</para>
<para>
"A rabbit ventricular action potential model replicating cardiac dynamics at rapid heart rates" by Mahajan et al.
</para>
<para>
The following is the abstract of this paper:
</para>
<para>
Mathematical modeling of the cardiac action potential has proven to be a powerful tool for illuminating various aspects of cardiac function, including cardiac arrhythmias. However, no currently available detailed action potential model accurately reproduces the dynamics of the cardiac action potential and intracellular calcium (Ca(i)) cycling at rapid heart rates relevant to ventricular tachycardia and fibrillation. The aim of this study was to develop such a model. Using an existing rabbit ventricular action potential model, we modified the L-type calcium (Ca) current (I(Ca,L)) and Ca(i) cycling formulations based on new experimental patch-clamp data obtained in isolated rabbit ventricular myocytes, using the perforated patch configuration at 35-37 degrees C. Incorporating a minimal seven-state Markovian model of I(Ca,L) that reproduced Ca- and voltage-dependent kinetics in combination with our previously published dynamic Ca(i) cycling model, the new model replicates experimentally observed action potential duration and Ca(i) transient alternans at rapid heart rates, and accurately reproduces experimental action potential duration restitution curves obtained by either dynamic or S1S2 pacing.
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="mahajan_2008.png"/>
</imageobject>
</mediaobject>
<caption>Schematic diagram of the Mahajan et al model, featuring whole-cell model showing basic elements of Ca cycling machinery and membrane ion currents, as well as a seven-state Markovian
model of the L-type Ca channel. </caption>
</informalfigure>
<para>
The complete original publication reference is cited below:
</para>
<para>
A rabbit ventricular action potential model replicating cardiac dynamics at rapid heart rates, Mahajan A, Shiferaw Y, Sato D, Baher A, Olcese R, Xie LH, Yang MJ, Chen PS, Restrepo JG, Karma A, Garfinkel A, Qu Z, Weiss JN, 2008 <emphasis>Biophysical Journal</emphasis>, 94(2):392-410 <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/18160660?ordinalpos=2&itool=EntrezSystem2.PEntrez.Pubmed.Pubmed_ResultsPanel.Pubmed_RVDocSum">PubMed ID: 18160660</ulink>
</para>
</sect1>
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<apply>
<eq/>
<ci>za</ci>
<apply>
<times/>
<ci>V</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>FonRT</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>rxa</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>pca</ci>
<ci>F</ci>
<ci>FonRT</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>csm</ci>
<apply>
<exp/>
<ci>za</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.341</cn>
<ci>Ca_o</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>FonRT</ci>
</apply>
</apply>
<apply>
<lt/>
<apply>
<abs/>
<ci>za</ci>
</apply>
<cn cellml:units="dimensionless">0.001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>pca</ci>
<ci>V</ci>
<ci>F</ci>
<ci>FonRT</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>csm</ci>
<apply>
<exp/>
<ci>za</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.341</cn>
<ci>Ca_o</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<ci>za</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>poinf</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>
<ci>vth</ci>
</apply>
</apply>
<ci>s6</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha</ci>
<apply>
<divide/>
<ci>poinf</ci>
<ci>taupo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>poinf</ci>
</apply>
<ci>taupo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>fca</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>cat</ci>
<ci>Ca_dyad</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>s1</ci>
<apply>
<times/>
<cn cellml:units="per_ms">0.0182688</cn>
<ci>fca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k1</ci>
<apply>
<times/>
<cn cellml:units="per_ms">0.024168</cn>
<ci>fca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>s2</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>s1</ci>
<ci>r1</ci>
</apply>
<ci>r2</ci>
</apply>
<ci>k2</ci>
</apply>
<ci>k1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>s2t</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>s1t</ci>
<ci>r1</ci>
</apply>
<ci>r2</ci>
</apply>
<ci>k2t</ci>
</apply>
<ci>k1t</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>poi</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>
<ci>vx</ci>
</apply>
</apply>
<ci>sx</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k3</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>poi</ci>
</apply>
<ci>tau3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k3t</ci>
<ci>k3</ci>
</apply>
<apply>
<eq/>
<ci>Pr</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<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>
<ci>vy</ci>
</apply>
</apply>
<ci>sy</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>recov</ci>
<apply>
<plus/>
<cn cellml:units="ms">10</cn>
<apply>
<times/>
<cn cellml:units="ms">4954</cn>
<apply>
<exp/>
<apply>
<divide/>
<ci>V</ci>
<cn cellml:units="mV">15.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ca</ci>
<apply>
<plus/>
<apply>
<divide/>
<ci>tca</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_dyad</ci>
<ci>cpt</ci>
</apply>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
<cn cellml:units="ms">0.1</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tauca</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>recov</ci>
<ci>tau_ca</ci>
</apply>
<ci>Pr</ci>
</apply>
<ci>tau_ca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>tauba</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>recov</ci>
<cn cellml:units="ms">450</cn>
</apply>
<ci>Pr</ci>
</apply>
<cn cellml:units="ms">450</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Ps</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>
<ci>vyr</ci>
</apply>
</apply>
<ci>syr</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>k6</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>fca</ci>
<ci>Ps</ci>
</apply>
<ci>tauca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k5</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Ps</ci>
</apply>
<ci>tauca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k6t</ci>
<apply>
<divide/>
<ci>Ps</ci>
<ci>tauba</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k5t</ci>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Ps</ci>
</apply>
<ci>tauba</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k4</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>k3</ci>
<ci>alpha</ci>
</apply>
<ci>beta</ci>
</apply>
<ci>k1</ci>
</apply>
<ci>k2</ci>
</apply>
<ci>k5</ci>
</apply>
<ci>k6</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>k4t</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>k3t</ci>
<ci>alpha</ci>
</apply>
<ci>beta</ci>
</apply>
<ci>k1t</ci>
</apply>
<ci>k2t</ci>
</apply>
<ci>k5t</ci>
</apply>
<ci>k6t</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>po</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>xi1ca</ci>
</apply>
<ci>xi2ca</ci>
</apply>
<ci>xi1ba</ci>
</apply>
<ci>xi2ba</ci>
</apply>
<ci>c1</ci>
</apply>
<ci>c2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>c1</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>alpha</ci>
<ci>c2</ci>
</apply>
<apply>
<times/>
<ci>k2</ci>
<ci>xi1ca</ci>
</apply>
<apply>
<times/>
<ci>k2t</ci>
<ci>xi1ba</ci>
</apply>
<apply>
<times/>
<ci>r2</ci>
<ci>po</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>beta</ci>
<ci>r1</ci>
<ci>k1t</ci>
<ci>k1</ci>
</apply>
<ci>c1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>c2</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>beta</ci>
<ci>c1</ci>
</apply>
<apply>
<times/>
<ci>k5</ci>
<ci>xi2ca</ci>
</apply>
<apply>
<times/>
<ci>k5t</ci>
<ci>xi2ba</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k6</ci>
<ci>k6t</ci>
<ci>alpha</ci>
</apply>
<ci>c2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xi1ca</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k1</ci>
<ci>c1</ci>
</apply>
<apply>
<times/>
<ci>k4</ci>
<ci>xi2ca</ci>
</apply>
<apply>
<times/>
<ci>s1</ci>
<ci>po</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k3</ci>
<ci>k2</ci>
<ci>s2</ci>
</apply>
<ci>xi1ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xi1ba</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k1t</ci>
<ci>c1</ci>
</apply>
<apply>
<times/>
<ci>k4t</ci>
<ci>xi2ba</ci>
</apply>
<apply>
<times/>
<ci>s1t</ci>
<ci>po</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k3t</ci>
<ci>k2t</ci>
<ci>s2t</ci>
</apply>
<ci>xi1ba</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xi2ca</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k3</ci>
<ci>xi1ca</ci>
</apply>
<apply>
<times/>
<ci>k6</ci>
<ci>c2</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k5</ci>
<ci>k4</ci>
</apply>
<ci>xi2ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xi2ba</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci>k3t</ci>
<ci>xi1ba</ci>
</apply>
<apply>
<times/>
<ci>k6t</ci>
<ci>c2</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<ci>k5t</ci>
<ci>k4t</ci>
</apply>
<ci>xi2ba</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>jca</ci>
<apply>
<times/>
<ci>gca</ci>
<ci>po</ci>
<ci>rxa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>xica</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>wca</ci>
<ci>jca</ci>
</apply>
</apply>
</math>
</component>
<component name="IK1">
<variable units="mV" public_interface="in" name="V"/>
<variable units="mV" public_interface="in" name="ek"/>
<variable units="mM" public_interface="in" name="K_o"/>
<variable units="uS_per_nF" name="gkix" initial_value="0.3"/>
<variable units="per_ms" name="aki"/>
<variable units="per_ms" name="bki"/>
<variable units="dimensionless" name="xkin"/>
<variable units="nA_per_nF" public_interface="out" name="xik1"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>aki</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_mV">0.2385</cn>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
<cn cellml:units="mV">59.215</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>bki</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_ms">0.49124</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.08032</cn>
<apply>
<plus/>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
<cn cellml:units="mV">5.476</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_ms">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.06175</cn>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
<cn cellml:units="mV">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_mV">0.5143</cn>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
<cn cellml:units="mV">4.753</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xkin</ci>
<apply>
<divide/>
<ci>aki</ci>
<apply>
<plus/>
<ci>aki</ci>
<ci>bki</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xik1</ci>
<apply>
<times/>
<ci>gkix</ci>
<apply>
<root/>
<apply>
<divide/>
<ci>K_o</ci>
<cn cellml:units="mM">5.4</cn>
</apply>
</apply>
<ci>xkin</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="IKr">
<variable units="mV" public_interface="in" name="V"/>
<variable units="mV" public_interface="in" name="ek"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="mM" public_interface="in" name="K_o"/>
<variable units="dimensionless" name="xr" initial_value="0.007074239331"/>
<variable units="uS_per_nF" name="gkr" initial_value="0.0125"/>
<variable units="per_ms" name="xkrv1"/>
<variable units="per_ms" name="xkrv2"/>
<variable units="ms" name="taukr"/>
<variable units="dimensionless" name="xkrinf"/>
<variable units="dimensionless" name="rg"/>
<variable units="nA_per_nF" public_interface="out" name="xikr"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xkrv1</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">0.00138</cn>
<cn cellml:units="per_mV">1</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">7</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.123</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">7</cn>
</apply>
</apply>
<cn cellml:units="mV">0.001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<cn cellml:units="per_ms">0.00138</cn>
<cn cellml:units="dimensionless">0.123</cn>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>xkrv2</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_ms">0.00061</cn>
<cn cellml:units="per_mV">1</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.145</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<gt/>
<apply>
<abs/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<cn cellml:units="mV">0.001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<cn cellml:units="per_ms">0.00061</cn>
<cn cellml:units="dimensionless">0.145</cn>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>taukr</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>xkrv1</ci>
<ci>xkrv2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xkrinf</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="mV">50</cn>
</apply>
</apply>
<cn cellml:units="mV">7.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>rg</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">33</cn>
</apply>
<cn cellml:units="mV">22.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xikr</ci>
<apply>
<times/>
<ci>gkr</ci>
<apply>
<root/>
<apply>
<divide/>
<ci>K_o</ci>
<cn cellml:units="mM">5.4</cn>
</apply>
</apply>
<ci>xr</ci>
<ci>rg</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xr</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xkrinf</ci>
<ci>xr</ci>
</apply>
<ci>taukr</ci>
</apply>
</apply>
</math>
</component>
<component name="IKs">
<variable units="mV" public_interface="in" name="V"/>
<variable units="uM" public_interface="in" name="Ca_i"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="uS_per_nF" name="gks" initial_value="0.1386"/>
<variable units="dimensionless" name="xs1" initial_value="0.048267587131"/>
<variable units="dimensionless" name="xs2" initial_value="0.105468807033"/>
<variable units="mV" public_interface="in" name="eks"/>
<variable units="dimensionless" name="xs1ss"/>
<variable units="dimensionless" name="xs2ss"/>
<variable units="ms" name="tauxs1"/>
<variable units="ms" name="tauxs2"/>
<variable units="dimensionless" name="gksx"/>
<variable units="nA_per_nF" public_interface="out" name="xiks"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xs1ss</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="mV">1.5</cn>
</apply>
</apply>
<cn cellml:units="mV">16.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xs2ss</ci>
<ci>xs1ss</ci>
</apply>
<apply>
<eq/>
<ci>tauxs1</ci>
<piecewise>
<piece>
<apply>
<divide/>
<cn cellml:units="ms">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.0000719</cn>
<cn cellml:units="dimensionless">0.148</cn>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.000131</cn>
<cn cellml:units="dimensionless">0.0687</cn>
</apply>
</apply>
</apply>
<apply>
<lt/>
<apply>
<abs/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="mV">0.001</cn>
<cn cellml:units="dimensionless">0.0687</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<cn cellml:units="ms">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_mV">0.0000719</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_mV">0.148</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_mV">0.000131</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_mV">0.0687</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>tauxs2</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">4</cn>
<ci>tauxs1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gksx</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.8</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<cn cellml:units="uM">0.5</cn>
<ci>Ca_i</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xiks</ci>
<apply>
<times/>
<ci>gks</ci>
<ci>gksx</ci>
<ci>xs1</ci>
<ci>xs2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>eks</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs1</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs1ss</ci>
<ci>xs1</ci>
</apply>
<ci>tauxs1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs2ss</ci>
<ci>xs2</ci>
</apply>
<ci>tauxs2</ci>
</apply>
</apply>
</math>
</component>
<component name="Ito">
<variable units="mV" public_interface="in" name="V"/>
<variable units="mV" public_interface="in" name="ek"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="nA_per_nF" public_interface="out" name="xito"/>
<variable units="nA_per_nF" name="xitos"/>
<variable units="nA_per_nF" name="xitof"/>
<variable units="dimensionless" name="xtos" initial_value="0.00364776906"/>
<variable units="dimensionless" name="ytos" initial_value="0.174403618112"/>
<variable units="dimensionless" name="xtof" initial_value="0.003643592594"/>
<variable units="dimensionless" name="ytof" initial_value="0.993331326442"/>
<variable units="uS_per_nF" name="gtos" initial_value="0.04"/>
<variable units="uS_per_nF" name="gtof" initial_value="0.11"/>
<variable units="dimensionless" name="rt1"/>
<variable units="dimensionless" name="rt2"/>
<variable units="dimensionless" name="rt3"/>
<variable units="dimensionless" name="rt4"/>
<variable units="dimensionless" name="rt5"/>
<variable units="dimensionless" name="xtos_inf"/>
<variable units="dimensionless" name="ytos_inf"/>
<variable units="dimensionless" name="xtof_inf"/>
<variable units="dimensionless" name="ytof_inf"/>
<variable units="dimensionless" name="rs_inf"/>
<variable units="ms" name="txs"/>
<variable units="ms" name="tys"/>
<variable units="ms" name="txf"/>
<variable units="ms" name="tyf"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rt1</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">3</cn>
</apply>
</apply>
<cn cellml:units="mV">15</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt2</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">33.5</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt3</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">60</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt4</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="mV">30</cn>
</apply>
<ci>V</ci>
</apply>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>rt5</ci>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">33.5</cn>
</apply>
<cn cellml:units="mV">10</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>xtos_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt1</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ytos_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xtof_inf</ci>
<ci>xtos_inf</ci>
</apply>
<apply>
<eq/>
<ci>ytof_inf</ci>
<ci>ytos_inf</ci>
</apply>
<apply>
<eq/>
<ci>rs_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>txs</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="ms">9</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<minus/>
<ci>rt1</ci>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="ms">0.5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tys</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="ms">3000</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt3</ci>
</apply>
</apply>
</apply>
<cn cellml:units="ms">30</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>txf</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="ms">3.5</cn>
<apply>
<exp/>
<ci>rt4</ci>
</apply>
</apply>
<cn cellml:units="ms">1.5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tyf</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="ms">20</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<ci>rt5</ci>
</apply>
</apply>
</apply>
<cn cellml:units="ms">20</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xtos</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xtos_inf</ci>
<ci>xtos</ci>
</apply>
<ci>txs</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ytos</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ytos_inf</ci>
<ci>ytos</ci>
</apply>
<ci>tys</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xtof</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xtof_inf</ci>
<ci>xtof</ci>
</apply>
<ci>txf</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ytof</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ytof_inf</ci>
<ci>ytof</ci>
</apply>
<ci>tyf</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>xitos</ci>
<apply>
<times/>
<ci>gtos</ci>
<ci>xtos</ci>
<apply>
<plus/>
<ci>ytos</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>rs_inf</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xitof</ci>
<apply>
<times/>
<ci>gtof</ci>
<ci>xtof</ci>
<ci>ytof</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>ek</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xito</ci>
<apply>
<plus/>
<ci>xitos</ci>
<ci>xitof</ci>
</apply>
</apply>
</math>
</component>
<component name="INaK">
<variable units="mV" public_interface="in" name="V"/>
<variable units="mM" public_interface="in" name="Na_i"/>
<variable units="mM" public_interface="in" name="Na_o"/>
<variable units="mM" public_interface="in" name="K_o"/>
<variable units="per_mV" public_interface="in" name="FonRT"/>
<variable units="nA_per_nF" public_interface="out" name="xiNaK"/>
<variable units="nA_per_nF" name="gNaK" initial_value="1.5"/>
<variable units="mM" name="xkmko" initial_value="1.5"/>
<variable units="mM" name="xkmnai" initial_value="12"/>
<variable units="dimensionless" name="sigma"/>
<variable units="dimensionless" name="fNaK"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Na_o</ci>
<cn cellml:units="mM">67.3</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
<cn cellml:units="dimensionless">7</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>fNaK</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>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.1</cn>
</apply>
<ci>V</ci>
<ci>FonRT</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.0365</cn>
<ci>sigma</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<ci>FonRT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xiNaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>gNaK</ci>
<ci>fNaK</ci>
<ci>Na_i</ci>
</apply>
<apply>
<plus/>
<ci>Na_i</ci>
<ci>xkmnai</ci>
</apply>
</apply>
<ci>K_o</ci>
</apply>
<apply>
<plus/>
<ci>K_o</ci>
<ci>xkmko</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="INaCa">
<variable units="mV" public_interface="in" name="V"/>
<variable units="per_mV" public_interface="in" name="FonRT"/>
<variable units="uM" public_interface="in" name="Ca_submem"/>
<variable units="mM" public_interface="in" name="Ca_o"/>
<variable units="mM" public_interface="in" name="Na_i"/>
<variable units="mM" public_interface="in" name="Na_o"/>
<variable units="mM" public_interface="in" name="csm"/>
<variable units="mV_per_uM" public_interface="in" name="wca"/>
<variable units="uM_per_ms" name="gNaCa" initial_value="0.84"/>
<variable units="dimensionless" name="aloss"/>
<variable units="mM4" name="yz1"/>
<variable units="mM4" name="yz2"/>
<variable units="mM4" name="yz3"/>
<variable units="mM4" name="yz4"/>
<variable units="mM4" name="zw3"/>
<variable units="dimensionless" name="zw4"/>
<variable units="mM4" name="zw8"/>
<variable units="uM_per_ms" public_interface="out" name="jNaCa"/>
<variable units="nA_per_nF" public_interface="out" name="xiNaCa"/>
<variable units="uM" name="xkdna" initial_value="0.3"/>
<variable units="mM" name="xmcao" initial_value="1.3"/>
<variable units="mM" name="xmnao" initial_value="87.5"/>
<variable units="mM" name="xmnai" initial_value="12.3"/>
<variable units="mM" name="xmcai" initial_value="0.0036"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>zw3</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>V</ci>
<cn cellml:units="dimensionless">0.35</cn>
<ci>FonRT</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>csm</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.35</cn>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>FonRT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>zw4</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">0.2</cn>
<apply>
<exp/>
<apply>
<times/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">0.35</cn>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>FonRT</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>aloss</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>xkdna</ci>
<ci>Ca_submem</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>yz1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>xmcao</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>xmnao</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>csm</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>yz2</ci>
<apply>
<times/>
<apply>
<power/>
<ci>xmnai</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>csm</ci>
<ci>xmcai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>yz3</ci>
<apply>
<times/>
<ci>xmcai</ci>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Na_i</ci>
<ci>xmnai</ci>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>yz4</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Na_o</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>csm</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>zw8</ci>
<apply>
<plus/>
<ci>yz1</ci>
<ci>yz2</ci>
<ci>yz3</ci>
<ci>yz4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>jNaCa</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>gNaCa</ci>
<ci>aloss</ci>
<ci>zw3</ci>
</apply>
<apply>
<times/>
<ci>zw4</ci>
<ci>zw8</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xiNaCa</ci>
<apply>
<times/>
<ci>wca</ci>
<ci>jNaCa</ci>
</apply>
</apply>
</math>
</component>
<component name="Irel">
<variable units="mV" public_interface="in" name="V"/>
<variable units="ms" public_interface="in" name="time"/>
<variable units="uM" public_interface="in" name="Ca_NSR"/>
<variable units="uM_per_ms" public_interface="in" name="dCa_JSR"/>
<variable units="dimensionless" public_interface="in" name="po"/>
<variable units="mA_per_cm2" public_interface="in" name="rxa"/>
<variable units="uM" name="cstar" initial_value="90"/>
<variable units="uM" name="Ca_JSR" initial_value="97.505463697266"/>
<variable units="per_ms" name="gryr" initial_value="2.58079"/>
<variable units="dimensionless" name="gbarsr" initial_value="26841.8"/>
<variable units="mmole_per_coulomb_cm" name="gdyad" initial_value="9000"/>
<variable units="per_mV" name="ax" initial_value="0.3576"/>
<variable units="per_mV" name="ay" initial_value="0.05"/>
<variable units="per_ms" name="av" initial_value="11.3"/>
<variable units="uM_per_ms" name="bv"/>
<variable units="uM_per_ms" name="Qr0"/>
<variable units="uM_per_ms" name="Qr"/>
<variable units="dimensionless" name="sparkV"/>
<variable units="per_ms" name="spark_rate"/>
<variable units="ms" name="taua" initial_value="100"/>
<variable units="ms" name="taur" initial_value="30"/>
<variable units="uM_per_ms" name="xirp"/>
<variable units="uM_per_ms" name="xicap"/>
<variable units="uM_per_ms" public_interface="out" name="xiryr"/>
<variable units="uM_per_ms" public_interface="out" name="xir" initial_value="0.006679257264"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_JSR</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_NSR</ci>
<ci>Ca_JSR</ci>
</apply>
<ci>taua</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>bv</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_ms">1</cn>
<ci>av</ci>
</apply>
<ci>cstar</ci>
</apply>
<cn cellml:units="uM_per_ms">50</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Qr0</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_JSR</ci>
<cn cellml:units="uM">50</cn>
</apply>
<cn cellml:units="ms">1</cn>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>Ca_JSR</ci>
<cn cellml:units="uM">50</cn>
</apply>
<apply>
<lt/>
<ci>Ca_JSR</ci>
<ci>cstar</ci>
</apply>
</apply>
</piece>
<piece>
<apply>
<plus/>
<apply>
<times/>
<ci>av</ci>
<ci>Ca_JSR</ci>
</apply>
<ci>bv</ci>
</apply>
<apply>
<geq/>
<ci>Ca_JSR</ci>
<ci>cstar</ci>
</apply>
</piece>
<otherwise>
<cn cellml:units="uM_per_ms">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>Qr</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_NSR</ci>
<ci>Qr0</ci>
</apply>
<ci>cstar</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>sparkV</ci>
<apply>
<divide/>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>ay</ci>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>ay</ci>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>spark_rate</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>gryr</ci>
<cn cellml:units="mA_per_cm2">1</cn>
</apply>
<ci>po</ci>
<apply>
<abs/>
<ci>rxa</ci>
</apply>
<ci>sparkV</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xir</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>spark_rate</ci>
<ci>Qr</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>xir</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>taur</ci>
<ci>dCa_JSR</ci>
</apply>
<ci>Ca_NSR</ci>
</apply>
</apply>
</apply>
<ci>taur</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xirp</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>po</ci>
<ci>Qr</ci>
<apply>
<abs/>
<ci>rxa</ci>
</apply>
<ci>gbarsr</ci>
</apply>
<cn cellml:units="mA_per_cm2">1</cn>
</apply>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>ax</ci>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>ax</ci>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="mV">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xicap</ci>
<apply>
<times/>
<ci>po</ci>
<ci>gdyad</ci>
<apply>
<abs/>
<ci>rxa</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xiryr</ci>
<apply>
<plus/>
<ci>xirp</ci>
<ci>xicap</ci>
</apply>
</apply>
</math>
</component>
<component name="Ileak_Iup_Ixfer">
<variable units="uM" public_interface="in" name="Ca_i"/>
<variable units="uM" public_interface="in" name="Ca_NSR"/>
<variable units="uM_per_ms" public_interface="out" name="jup"/>
<variable units="uM_per_ms" public_interface="out" name="jleak"/>
<variable units="uM" name="cup" initial_value="0.5"/>
<variable units="uM" name="kj" initial_value="50"/>
<variable units="uM_per_ms" name="vup" initial_value="0.4"/>
<variable units="per_ms" name="gleak" initial_value="0.00002069"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>jup</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>vup</ci>
<ci>Ca_i</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ca_i</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<ci>cup</ci>
<ci>cup</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>jleak</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>gleak</ci>
<ci>Ca_NSR</ci>
<ci>Ca_NSR</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>Ca_NSR</ci>
<ci>Ca_NSR</ci>
</apply>
<apply>
<times/>
<ci>kj</ci>
<ci>kj</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_NSR</ci>
<cn cellml:units="dimensionless">16.667</cn>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Na">
<variable units="ms" public_interface="in" name="time"/>
<variable units="mV_per_uM" public_interface="in" name="wca"/>
<variable units="mM" public_interface="out" name="Na_i" initial_value="11.441712311614"/>
<variable units="nA_per_nF" public_interface="in" name="xina"/>
<variable units="nA_per_nF" public_interface="in" name="xiNaK"/>
<variable units="nA_per_nF" public_interface="in" name="xiNaCa"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>xina</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>xiNaK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>xiNaCa</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>wca</ci>
<cn cellml:units="u_per_m">1000</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca">
<variable units="ms" public_interface="in" name="time"/>
<variable units="uM_per_ms" public_interface="in" name="xiryr"/>
<variable units="uM" public_interface="out" name="Ca_dyad" initial_value="1.716573130685"/>
<variable units="uM" public_interface="out" name="Ca_submem" initial_value="0.226941113355"/>
<variable units="uM" public_interface="out" name="Ca_i" initial_value="0.256752008084"/>
<variable units="uM" public_interface="out" name="Ca_NSR" initial_value="104.450004990523"/>
<variable units="mM" public_interface="out" name="csm"/>
<variable units="uM" name="bcal" initial_value="24"/>
<variable units="uM" name="xkcal" initial_value="7"/>
<variable units="uM" name="srmax" initial_value="47"/>
<variable units="uM" name="srkd" initial_value="0.6"/>
<variable units="uM" name="bmem" initial_value="15"/>
<variable units="uM" name="kmem" initial_value="0.3"/>
<variable units="uM" name="bsar" initial_value="42"/>
<variable units="uM" name="ksar" initial_value="13"/>
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<variable units="dimensionless" name="spxs"/>
<variable units="dimensionless" name="mempxs"/>
<variable units="dimensionless" name="sarpxs"/>
<variable units="dimensionless" name="dcsib"/>
<variable units="dimensionless" name="bpxi"/>
<variable units="dimensionless" name="spxi"/>
<variable units="dimensionless" name="mempxi"/>
<variable units="dimensionless" name="sarpxi"/>
<variable units="dimensionless" name="dciib"/>
<variable units="per_uM_per_ms" name="xkon" initial_value="0.0327"/>
<variable units="per_ms" name="xkoff" initial_value="0.0196"/>
<variable units="uM" name="btrop" initial_value="70"/>
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<variable units="uM_per_ms" name="xbs"/>
<variable units="uM" name="tropi" initial_value="22.171689894953"/>
<variable units="uM" name="trops" initial_value="19.864701949854"/>
<variable units="ms" name="taud" initial_value="4"/>
<variable units="ms" name="taups" initial_value="0.5"/>
<variable units="uM_per_ms" name="jd"/>
<variable units="uM_per_ms" public_interface="in" name="jup"/>
<variable units="uM_per_ms" public_interface="in" name="jleak"/>
<variable units="uM_per_ms" public_interface="in" name="jNaCa"/>
<variable units="uM_per_ms" public_interface="in" name="xir"/>
<variable units="uM_per_ms" public_interface="in" name="jca"/>
<variable units="uM_per_ms" public_interface="out" name="dCa_JSR"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>bpxs</ci>
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<divide/>
<apply>
<times/>
<ci>bcal</ci>
<ci>xkcal</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>xkcal</ci>
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<plus/>
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<ci>Ca_submem</ci>
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<eq/>
<ci>spxs</ci>
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<divide/>
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<times/>
<ci>srmax</ci>
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<times/>
<apply>
<plus/>
<ci>srkd</ci>
<ci>Ca_submem</ci>
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<apply>
<plus/>
<ci>srkd</ci>
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</apply>
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<apply>
<eq/>
<ci>mempxs</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>bmem</ci>
<ci>kmem</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>kmem</ci>
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<apply>
<plus/>
<ci>kmem</ci>
<ci>Ca_submem</ci>
</apply>
</apply>
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<eq/>
<ci>sarpxs</ci>
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<divide/>
<apply>
<times/>
<ci>bsar</ci>
<ci>ksar</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>ksar</ci>
<ci>Ca_submem</ci>
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<apply>
<plus/>
<ci>ksar</ci>
<ci>Ca_submem</ci>
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</apply>
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<apply>
<eq/>
<ci>dcsib</ci>
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<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>bpxs</ci>
<ci>spxs</ci>
<ci>mempxs</ci>
<ci>sarpxs</ci>
</apply>
</apply>
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<apply>
<eq/>
<ci>bpxi</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>bcal</ci>
<ci>xkcal</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>xkcal</ci>
<ci>Ca_i</ci>
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<apply>
<plus/>
<ci>xkcal</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>spxi</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>srmax</ci>
<ci>srkd</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>srkd</ci>
<ci>Ca_i</ci>
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<apply>
<plus/>
<ci>srkd</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mempxi</ci>
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<divide/>
<apply>
<times/>
<ci>bmem</ci>
<ci>kmem</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>kmem</ci>
<ci>Ca_i</ci>
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<apply>
<plus/>
<ci>kmem</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>sarpxi</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>bsar</ci>
<ci>ksar</ci>
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<apply>
<times/>
<apply>
<plus/>
<ci>ksar</ci>
<ci>Ca_i</ci>
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<apply>
<plus/>
<ci>ksar</ci>
<ci>Ca_i</ci>
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</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dciib</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>bpxi</ci>
<ci>spxi</ci>
<ci>mempxi</ci>
<ci>sarpxi</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>jd</ci>
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<divide/>
<apply>
<minus/>
<ci>Ca_submem</ci>
<ci>Ca_i</ci>
</apply>
<ci>taud</ci>
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</apply>
<apply>
<eq/>
<ci>xbi</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>xkon</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>btrop</ci>
<ci>tropi</ci>
</apply>
</apply>
<apply>
<times/>
<ci>xkoff</ci>
<ci>tropi</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xbs</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>xkon</ci>
<ci>Ca_submem</ci>
<apply>
<minus/>
<ci>btrop</ci>
<ci>trops</ci>
</apply>
</apply>
<apply>
<times/>
<ci>xkoff</ci>
<ci>trops</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dCa_JSR</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>xir</ci>
</apply>
<ci>jup</ci>
</apply>
<ci>jleak</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_dyad</ci>
</apply>
<apply>
<minus/>
<ci>xiryr</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_dyad</ci>
<ci>Ca_submem</ci>
</apply>
<ci>taups</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_submem</ci>
</apply>
<apply>
<times/>
<ci>dcsib</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">50</cn>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<minus/>
<ci>xir</ci>
<ci>jd</ci>
</apply>
<ci>jca</ci>
</apply>
<ci>jNaCa</ci>
</apply>
</apply>
<ci>xbs</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<ci>dciib</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<minus/>
<ci>jd</ci>
<ci>jup</ci>
</apply>
<ci>jleak</ci>
</apply>
<ci>xbi</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_NSR</ci>
</apply>
<ci>dCa_JSR</ci>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>tropi</ci>
</apply>
<ci>xbi</ci>
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<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>trops</ci>
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<ci>xbs</ci>
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<apply>
<eq/>
<ci>csm</ci>
<apply>
<divide/>
<ci>Ca_submem</ci>
<cn cellml:units="u_per_m">1000</cn>
</apply>
</apply>
</math>
</component>
<component name="reversal_potentials">
<variable units="mV" public_interface="out" name="ek"/>
<variable units="mV" public_interface="out" name="eks"/>
<variable units="mV" public_interface="out" name="ena"/>
<variable units="mM" name="K_i" initial_value="140"/>
<variable units="mM" public_interface="in" name="K_o"/>
<variable units="mM" public_interface="in" name="Na_i"/>
<variable units="mM" public_interface="in" name="Na_o"/>
<variable units="per_mV" public_interface="in" name="FonRT"/>
<variable units="dimensionless" name="prNaK" initial_value="0.01833"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>ek</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>FonRT</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_o</ci>
<ci>K_i</ci>
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</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>eks</ci>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<ci>FonRT</ci>
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<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>K_o</ci>
<apply>
<times/>
<ci>prNaK</ci>
<ci>Na_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>K_i</ci>
<apply>
<times/>
<ci>prNaK</ci>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
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<apply>
<eq/>
<ci>ena</ci>
<apply>
<times/>
<apply>
<divide/>
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