<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 14/01/2008 at 15:17:17 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#" cmeta:id="sakmann_2006_M" name="sakmann_2006_M">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Distribution of a Persistent Sodium Current Across theVentricular Wall in Guinea Pigs</title>
<author>
<firstname>Penny</firstname>
<surname>Noble</surname>
<affiliation>
<shortaffil>Oxford University</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model has been curated and unit-checked and is known to run in COR and PCEnv. This variant is parameterised for the cardiac M CELL.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: A tetrodotoxin-sensitive persistent sodium current, IpNa, was found in guinea pig ventricular myocytes bywhole-cell patch clamping. This current was characterized in cells derived from the basal left ventricular subendocardium,midmyocardium, and subepicardium. Midmyocardial cells show a statistically significant (P,0.05) smaller IpNathan subendocardial and subepicardial myocytes. There was no significant difference in IpNa current density betweensubepicardial and subendocardial cells. Computer modeling studies support a role of this current in the dispersion ofaction potential duration across the ventricular wall."
</para>
<para>
The original paper reference is cited below:
</para>
<para>Distribution of a persistent sodium current across the ventricular wall in guinea pigs, Bernhard F.A.S. Sakmann, Anthony J. Spindler, Simon M. Bryant, Klaus W. Linz and Denis Noble, 2000, <emphasis>Circulation Research</emphasis>, 87, (10), 910-914. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&cmd=Retrieve&dopt=AbstractPlus&list_uids=11073887&query_hl=1&itool=pubmed_docsum">PubMed ID: 11073887</ulink>
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="sakmann_2000.png"/>
</imageobject>
</mediaobject>
<caption>Schematic diagram of the Sakmann et al. 2000 cardiac cell model.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="micrometre">
<unit units="metre" prefix="micro"/>
</units>
<units name="per_second">
<unit units="second" exponent="-1"/>
</units>
<units name="millivolt">
<unit units="volt" prefix="milli"/>
</units>
<units name="per_millivolt">
<unit units="volt" prefix="milli" exponent="-1"/>
</units>
<units name="per_millivolt_second">
<unit units="millivolt" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units name="microS">
<unit units="siemens" prefix="micro"/>
</units>
<units name="microF">
<unit units="farad" prefix="micro"/>
</units>
<units name="microS_per_microF">
<unit units="microS"/>
<unit units="microF" exponent="-1"/>
</units>
<units name="per_microF">
<unit units="microF" exponent="-1"/>
</units>
<units name="nanoA">
<unit units="ampere" prefix="nano"/>
</units>
<units name="mA_nA">
<unit units="ampere" prefix="milli"/>
<unit units="nanoA" exponent="-1"/>
</units>
<units name="nanoA_per_millimolar">
<unit units="ampere" prefix="nano"/>
<unit units="millimolar" exponent="-1"/>
</units>
<units name="millimolar">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="millimolar4">
<unit units="millimolar" exponent="4"/>
</units>
<units name="millimolar_per_second">
<unit units="millimolar"/>
<unit units="second" exponent="-1"/>
</units>
<units name="per_millimolar_second">
<unit units="millimolar" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units name="joule_per_kilomole_kelvin">
<unit units="joule"/>
<unit units="mole" prefix="kilo" exponent="-1"/>
<unit units="kelvin" exponent="-1"/>
</units>
<units name="coulomb_per_mole">
<unit units="coulomb"/>
<unit units="mole" exponent="-1"/>
</units>
<units name="micrometre3">
<unit units="metre" prefix="micro" exponent="3"/>
</units>
<units name="litre_micrometre3">
<unit units="litre"/>
<unit units="micrometre3" exponent="-1"/>
</units>
<component name="environment">
<variable units="second" public_interface="out" name="time"/>
</component>
<component name="membrane">
<variable units="millivolt" public_interface="out" name="V" initial_value="-89.1374183"/>
<variable units="joule_per_kilomole_kelvin" public_interface="out" name="R" initial_value="8314.472"/>
<variable units="kelvin" public_interface="out" name="T" initial_value="310"/>
<variable units="coulomb_per_mole" public_interface="out" name="F" initial_value="96485.3415"/>
<variable units="microF" public_interface="out" name="Cm" initial_value="0.000161"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="nanoA" public_interface="in" name="i_K1"/>
<variable units="nanoA" public_interface="in" name="i_to"/>
<variable units="nanoA" public_interface="in" name="i_Kr"/>
<variable units="nanoA" public_interface="in" name="i_Ks"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_K_cyt"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_K_ds"/>
<variable units="nanoA" public_interface="in" name="i_NaK"/>
<variable units="nanoA" public_interface="in" name="i_Na"/>
<variable units="nanoA" public_interface="in" name="i_b_Na"/>
<variable units="nanoA" public_interface="in" name="i_p_Na"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Na_cyt"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Na_ds"/>
<variable units="nanoA" public_interface="in" name="i_NaCa_cyt"/>
<variable units="nanoA" public_interface="in" name="i_NaCa_ds"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Ca_cyt"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Ca_ds"/>
<variable units="nanoA" public_interface="in" name="i_b_Ca"/>
<variable units="nanoA" name="i_Stim"/>
<variable units="second" name="stim_start" initial_value="0.1"/>
<variable units="second" name="stim_end" initial_value="9"/>
<variable units="second" name="stim_period" initial_value="1"/>
<variable units="second" name="stim_duration" initial_value="0.003"/>
<variable units="nanoA" name="stim_amplitude" initial_value="-2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Stim</ci>
<piecewise>
<piece>
<ci>stim_amplitude</ci>
<apply>
<and/>
<apply>
<geq/>
<ci>time</ci>
<ci>stim_start</ci>
</apply>
<apply>
<leq/>
<ci>time</ci>
<ci>stim_end</ci>
</apply>
<apply>
<leq/>
<apply>
<minus/>
<apply>
<minus/>
<ci>time</ci>
<ci>stim_start</ci>
</apply>
<apply>
<times/>
<apply>
<floor/>
<apply>
<divide/>
<apply>
<minus/>
<ci>time</ci>
<ci>stim_start</ci>
</apply>
<ci>stim_period</ci>
</apply>
</apply>
<ci>stim_period</ci>
</apply>
</apply>
<ci>stim_duration</ci>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="nanoA">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<ci>Cm</ci>
</apply>
<apply>
<plus/>
<ci>i_Stim</ci>
<ci>i_K1</ci>
<ci>i_to</ci>
<ci>i_Kr</ci>
<ci>i_Ks</ci>
<ci>i_NaK</ci>
<ci>i_Na</ci>
<ci>i_b_Na</ci>
<ci>i_p_Na</ci>
<ci>i_Ca_L_Na_cyt</ci>
<ci>i_Ca_L_Na_ds</ci>
<ci>i_NaCa_cyt</ci>
<ci>i_NaCa_ds</ci>
<ci>i_Ca_L_Ca_cyt</ci>
<ci>i_Ca_L_Ca_ds</ci>
<ci>i_Ca_L_K_cyt</ci>
<ci>i_Ca_L_K_ds</ci>
<ci>i_b_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="reversal_potentials">
<variable units="millivolt" public_interface="out" name="E_Na"/>
<variable units="millivolt" public_interface="out" name="E_K"/>
<variable units="millivolt" public_interface="out" name="E_Ks"/>
<variable units="millivolt" public_interface="out" name="E_Ca"/>
<variable units="millivolt" public_interface="out" name="E_mh"/>
<variable units="dimensionless" name="P_kna" initial_value="0.03"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="millimolar" public_interface="in" name="Na_o"/>
<variable units="millimolar" public_interface="in" name="K_i"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="Ca_o"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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/>
<ci>Na_o</ci>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_o</ci>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Ks</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>K_o</ci>
<apply>
<times/>
<ci>P_kna</ci>
<ci>Na_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>K_i</ci>
<apply>
<times/>
<ci>P_kna</ci>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.5</cn>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ca_o</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_mh</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>Na_o</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.12</cn>
<ci>K_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>Na_i</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.12</cn>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current">
<variable units="nanoA" public_interface="out" name="i_K1"/>
<variable units="millimolar" public_interface="out" name="K_mk1" initial_value="10"/>
<variable units="microS" name="g_K1" initial_value="0.2"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="second" 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/>
<ci>g_K1</ci>
<ci>K_o</ci>
</apply>
<apply>
<plus/>
<ci>K_o</ci>
<ci>K_mk1</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
<cn cellml:units="millivolt">10</cn>
</apply>
<ci>F</ci>
<cn cellml:units="dimensionless">1.5</cn>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifier_potassium_current">
<variable units="nanoA" public_interface="out" name="i_Kr"/>
<variable units="microS" name="g_Kr"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="microF" public_interface="in" name="Cm"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="xr"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Kr</ci>
<apply>
<times/>
<ci>Cm</ci>
<cn cellml:units="microS_per_microF">9.9926</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>K_o</ci>
<cn cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Kr</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>g_Kr</ci>
<ci>xr</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">9</cn>
</apply>
<cn cellml:units="millivolt">22.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="rapid_delayed_rectifier_potassium_current_xr_gate">
<variable units="dimensionless" public_interface="out" name="xr" initial_value="1.98e-5"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="dimensionless" name="xr_inf"/>
<variable units="second" name="tau_xr"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xr_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">21.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xr</ci>
<apply>
<divide/>
<cn cellml:units="second">0.001</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.00138</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.2</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.123</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.00061</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">38.9</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.145</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">38.9</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xr</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xr_inf</ci>
<ci>xr</ci>
</apply>
<ci>tau_xr</ci>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifier_potassium_current">
<variable units="nanoA" public_interface="out" name="i_Ks"/>
<variable units="microS" name="g_Ks"/>
<variable units="millivolt" public_interface="in" name="E_Ks"/>
<variable units="microF" public_interface="in" name="Cm"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="xs"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Ks</ci>
<apply>
<times/>
<ci>Cm</ci>
<cn cellml:units="microS_per_microF">25.3</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ks</ci>
<apply>
<times/>
<ci>g_Ks</ci>
<apply>
<power/>
<ci>xs</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ks</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="slow_delayed_rectifier_potassium_current_xs_gate">
<variable units="dimensionless" public_interface="out" name="xs" initial_value="0.0381477"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="dimensionless" name="xs_inf"/>
<variable units="second" name="tau_xs"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xs_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">1.5</cn>
</apply>
</apply>
<cn cellml:units="millivolt">16.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xs</ci>
<apply>
<divide/>
<cn cellml:units="second">0.001</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0000719</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.148</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.000131</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0687</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs_inf</ci>
<ci>xs</ci>
</apply>
<ci>tau_xs</ci>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current">
<variable units="nanoA" public_interface="out" name="i_Na"/>
<variable units="microS" name="g_Na"/>
<variable units="per_microF" name="nachanneldensity" initial_value="1075"/>
<variable units="microS" name="gnachannel" initial_value="20"/>
<variable units="millivolt" public_interface="in" name="E_mh"/>
<variable units="microF" public_interface="in" name="Cm"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="m"/>
<variable units="dimensionless" private_interface="in" name="h"/>
<variable units="dimensionless" private_interface="in" name="proton"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>nachanneldensity</ci>
<ci>Cm</ci>
<ci>gnachannel</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.26</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>proton</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">1000</cn>
<cn cellml:units="dimensionless">2.5119e-6</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">0.34</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1.58</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<times/>
<ci>g_Na</ci>
<apply>
<power/>
<ci>m</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>h</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_mh</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_m_gate">
<variable units="dimensionless" public_interface="out" name="m" initial_value="0.0026891"/>
<variable units="per_second" name="alpha_m"/>
<variable units="per_second" name="beta_m"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" name="delta_m" initial_value="1e-5"/>
<variable units="millivolt" name="E0_m"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_m</ci>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">41</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_m</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">2000</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_m</ci>
</apply>
<ci>delta_m</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">200</cn>
<ci>E0_m</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.1</cn>
</apply>
<ci>E0_m</ci>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn cellml:units="per_second">8000</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.056</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">66</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_m</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>m</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_m</ci>
<ci>m</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_h_gate">
<variable units="dimensionless" public_interface="out" name="h" initial_value="0.9873107"/>
<variable units="per_second" name="alpha_h"/>
<variable units="per_second" name="beta_h"/>
<variable units="dimensionless" public_interface="out" name="proton" initial_value="3.98e-5"/>
<variable units="millivolt" name="shifth"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>shifth</ci>
<apply>
<minus/>
<apply>
<divide/>
<cn cellml:units="millivolt">32.7</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<divide/>
<ci>proton</ci>
<cn cellml:units="dimensionless">1000</cn>
</apply>
<cn cellml:units="dimensionless">2.5119e-6</cn>
</apply>
</apply>
</apply>
<cn cellml:units="millivolt">32.18</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_h</ci>
<apply>
<times/>
<cn cellml:units="per_second">20</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.125</cn>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
<ci>shifth</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_h</ci>
<apply>
<divide/>
<cn cellml:units="per_second">2000</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="dimensionless">320</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.1</cn>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
<ci>shifth</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_h</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>h</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_h</ci>
<ci>h</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="persistent_sodium_current">
<variable units="nanoA" public_interface="out" name="i_p_Na"/>
<variable units="microS" name="g_pna" initial_value="0.0029"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="microF" public_interface="in" name="Cm"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_p_Na</ci>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>Cm</ci>
<cn cellml:units="per_microF">1000000</cn>
<ci>g_pna</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">51.371</cn>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">53.9271</cn>
</apply>
</apply>
<cn cellml:units="millivolt">7.4751</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1000</cn>
</apply>
</apply>
</math>
</component>
<component name="sodium_background_current">
<variable units="nanoA" public_interface="out" name="i_b_Na"/>
<variable units="microS" name="g_bna" initial_value="0.0006"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_b_Na</ci>
<apply>
<times/>
<ci>g_bna</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel">
<variable units="nanoA" public_interface="out" name="i_Ca_L_Ca_cyt"/>
<variable units="nanoA" public_interface="out" name="i_Ca_L_K_cyt"/>
<variable units="nanoA" public_interface="out" name="i_Ca_L_Na_cyt"/>
<variable units="nanoA" public_interface="out" name="i_Ca_L_Ca_ds"/>
<variable units="nanoA" public_interface="out" name="i_Ca_L_K_ds"/>
<variable units="nanoA" public_interface="out" name="i_Ca_L_Na_ds"/>
<variable units="nanoA" public_interface="out" name="i_Ca_L"/>
<variable units="nanoA_per_millimolar" name="P_Ca_L" initial_value="0.11"/>
<variable units="dimensionless" name="P_CaK" initial_value="0.002"/>
<variable units="dimensionless" name="P_CaNa" initial_value="0.01"/>
<variable units="millimolar" public_interface="in" name="Ca_o"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Ca_i"/>
<variable units="millimolar" public_interface="in" private_interface="out" name="Ca_ds"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="millimolar" public_interface="in" name="K_i"/>
<variable units="millimolar" public_interface="in" name="Na_o"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="dimensionless" private_interface="in" name="d"/>
<variable units="dimensionless" private_interface="in" name="f"/>
<variable units="dimensionless" private_interface="in" name="f2"/>
<variable units="dimensionless" private_interface="in" name="f2ds"/>
<variable units="millimolar" private_interface="out" name="Km_f2" initial_value="100000"/>
<variable units="millimolar" private_interface="out" name="Km_f2ds" initial_value="0.001"/>
<variable units="per_second" public_interface="out" private_interface="out" name="R_decay" initial_value="20"/>
<variable units="dimensionless" name="FrICa" initial_value="1"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_L_Ca_cyt</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>FrICa</ci>
</apply>
<cn cellml:units="dimensionless">4</cn>
<ci>P_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">100</cn>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L_K_cyt</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>FrICa</ci>
</apply>
<ci>P_CaK</ci>
<ci>P_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>K_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">50</cn>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L_Na_cyt</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>FrICa</ci>
</apply>
<ci>P_CaNa</ci>
<ci>P_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Na_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">50</cn>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Na_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L_Ca_ds</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>FrICa</ci>
<cn cellml:units="dimensionless">4</cn>
<ci>P_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2ds</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">100</cn>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L_K_ds</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>FrICa</ci>
<ci>P_CaK</ci>
<ci>P_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2ds</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>K_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">50</cn>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L_Na_ds</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>FrICa</ci>
<ci>P_CaNa</ci>
<ci>P_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2ds</ci>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Na_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="millivolt">50</cn>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Na_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L</ci>
<apply>
<plus/>
<ci>i_Ca_L_Ca_cyt</ci>
<ci>i_Ca_L_K_cyt</ci>
<ci>i_Ca_L_Na_cyt</ci>
<ci>i_Ca_L_Ca_ds</ci>
<ci>i_Ca_L_K_ds</ci>
<ci>i_Ca_L_Na_ds</ci>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_d_gate">
<variable units="dimensionless" public_interface="out" name="d" initial_value="1.44e-4"/>
<variable units="per_second" name="alpha_d"/>
<variable units="per_second" name="beta_d"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" name="E0_d"/>
<variable units="dimensionless" name="speed_d" initial_value="3"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_d</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">24</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_d</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">120</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_d</ci>
</apply>
<cn cellml:units="millivolt">0.0001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">30</cn>
<ci>E0_d</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>E0_d</ci>
</apply>
<cn cellml:units="millivolt">7.2</cn>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_d</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">120</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_d</ci>
</apply>
<cn cellml:units="millivolt">0.0001</cn>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">12</cn>
<ci>E0_d</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_d</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">2.5</cn>
<cn cellml:units="millivolt">7.2</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<times/>
<ci>speed_d</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_d</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>d</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_d</ci>
<ci>d</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_gate">
<variable units="dimensionless" public_interface="out" name="f" initial_value="0.9999993"/>
<variable units="per_second" name="alpha_f"/>
<variable units="per_second" name="beta_f"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="dimensionless" name="speed_f" initial_value="0.3"/>
<variable units="millivolt" name="delta_f" initial_value="0.0001"/>
<variable units="millivolt" name="E0_f"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_f</ci>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_f</ci>
<piecewise>
<piece>
<cn cellml:units="per_second">25</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_f</ci>
</apply>
<ci>delta_f</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">6.25</cn>
<ci>E0_f</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_f</ci>
<cn cellml:units="millivolt">5.1</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_f</ci>
<apply>
<divide/>
<cn cellml:units="per_second">12</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">34</cn>
</apply>
</apply>
<cn cellml:units="millivolt">5.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f</ci>
</apply>
<apply>
<times/>
<ci>speed_f</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_f</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_f</ci>
<ci>f</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f2_gate">
<variable units="dimensionless" public_interface="out" name="f2" initial_value="0.254433"/>
<variable units="millimolar" public_interface="in" name="Km_f2"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f2</ci>
</apply>
<apply>
<minus/>
<cn cellml:units="per_second">1</cn>
<apply>
<times/>
<cn cellml:units="per_second">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<ci>Ca_i</ci>
<apply>
<plus/>
<ci>Km_f2</ci>
<ci>Ca_i</ci>
</apply>
</apply>
<ci>f2</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f2ds_gate">
<variable units="dimensionless" public_interface="out" name="f2ds" initial_value="0.9292189"/>
<variable units="millimolar" public_interface="in" name="Km_f2ds"/>
<variable units="per_second" public_interface="in" name="R_decay"/>
<variable units="millimolar" public_interface="in" name="Ca_ds"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f2ds</ci>
</apply>
<apply>
<times/>
<ci>R_decay</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<ci>Ca_ds</ci>
<apply>
<plus/>
<ci>Km_f2ds</ci>
<ci>Ca_ds</ci>
</apply>
</apply>
<ci>f2ds</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_background_current">
<variable units="nanoA" public_interface="out" name="i_b_Ca"/>
<variable units="microS" name="g_bca" initial_value="0.00025"/>
<variable units="millivolt" public_interface="in" name="E_Ca"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_b_Ca</ci>
<apply>
<times/>
<ci>g_bca</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_current">
<variable units="nanoA" public_interface="out" name="i_to"/>
<variable units="microS" name="g_to" initial_value="0.005"/>
<variable units="dimensionless" name="g_tos" initial_value="0"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="dimensionless" private_interface="in" name="s"/>
<variable units="dimensionless" private_interface="in" name="r"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_to</ci>
<apply>
<times/>
<ci>g_to</ci>
<apply>
<plus/>
<ci>g_tos</ci>
<apply>
<times/>
<ci>s</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>g_tos</ci>
</apply>
</apply>
</apply>
<ci>r</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_current_s_gate">
<variable units="dimensionless" public_interface="out" name="s" initial_value="0.7352365"/>
<variable units="per_second" name="alpha_s"/>
<variable units="per_second" name="beta_s"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_s</ci>
<apply>
<times/>
<cn cellml:units="per_second">0.033</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn cellml:units="millivolt">17</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_s</ci>
<apply>
<divide/>
<cn cellml:units="per_second">33</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.125</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>s</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_s</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>s</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_s</ci>
<ci>s</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="transient_outward_current_r_gate">
<variable units="dimensionless" public_interface="out" name="r" initial_value="0"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>r</ci>
</apply>
<apply>
<times/>
<cn cellml:units="per_second">333</cn>
<apply>
<minus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
<ci>r</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump">
<variable units="nanoA" public_interface="out" name="i_NaK"/>
<variable units="nanoA" name="i_NaK_max" initial_value="0.7"/>
<variable units="millimolar" name="K_mK" initial_value="1"/>
<variable units="millimolar" name="K_mNa" initial_value="40"/>
<variable units="millimolar" public_interface="in" name="K_o"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="second" public_interface="in" name="time"/>
<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>K_o</ci>
</apply>
<apply>
<plus/>
<ci>K_mK</ci>
<ci>K_o</ci>
</apply>
</apply>
<ci>Na_i</ci>
</apply>
<apply>
<plus/>
<ci>K_mNa</ci>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_calcium_exchanger">
<variable units="nanoA" public_interface="out" name="i_NaCa"/>
<variable units="nanoA" public_interface="out" name="i_NaCa_cyt"/>
<variable units="nanoA" public_interface="out" name="i_NaCa_ds"/>
<variable units="nanoA" name="k_NaCa" initial_value="0.00012"/>
<variable units="dimensionless" name="n_NaCa" initial_value="3"/>
<variable units="dimensionless" name="d_NaCa" initial_value="0"/>
<variable units="dimensionless" name="gamma" initial_value="0.5"/>
<variable units="dimensionless" name="FRiNaCa" initial_value="0.001"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="Na_o"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millimolar" public_interface="in" name="Ca_ds"/>
<variable units="millimolar" public_interface="in" name="Ca_o"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaCa_cyt</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>FRiNaCa</ci>
</apply>
<ci>k_NaCa</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>gamma</ci>
<apply>
<minus/>
<ci>n_NaCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<ci>n_NaCa</ci>
</apply>
<ci>Ca_o</ci>
</apply>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>n_NaCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Na_o</ci>
<ci>n_NaCa</ci>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="millimolar4">1</cn>
<apply>
<times/>
<ci>d_NaCa</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>Ca_i</ci>
<apply>
<power/>
<ci>Na_o</ci>
<ci>n_NaCa</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<power/>
<ci>Na_i</ci>
<ci>n_NaCa</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Ca_i</ci>
<cn cellml:units="millimolar">0.0069</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_NaCa_ds</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>FRiNaCa</ci>
<ci>k_NaCa</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>gamma</ci>
<apply>
<minus/>
<ci>n_NaCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Na_i</ci>
<ci>n_NaCa</ci>
</apply>
<ci>Ca_o</ci>
</apply>
<apply>
<times/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>n_NaCa</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<power/>
<ci>Na_o</ci>
<ci>n_NaCa</ci>
</apply>
<ci>Ca_ds</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="millimolar4">1</cn>
<apply>
<times/>
<ci>d_NaCa</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>Ca_ds</ci>
<apply>
<power/>
<ci>Na_o</ci>
<ci>n_NaCa</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<power/>
<ci>Na_i</ci>
<ci>n_NaCa</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Ca_ds</ci>
<cn cellml:units="millimolar">0.0069</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_NaCa</ci>
<apply>
<plus/>
<ci>i_NaCa_cyt</ci>
<ci>i_NaCa_ds</ci>
</apply>
</apply>
</math>
</component>
<component name="sarcoplasmic_reticulum_calcium_pump">
<variable units="millimolar_per_second" public_interface="out" name="i_up"/>
<variable units="dimensionless" name="K_1"/>
<variable units="millimolar" name="K_2"/>
<variable units="millimolar" name="K_cyca" initial_value="0.0003"/>
<variable units="dimensionless" name="K_xcs" initial_value="0.4"/>
<variable units="millimolar" name="K_srca" initial_value="0.5"/>
<variable units="millimolar_per_second" name="alpha_up" initial_value="0.4"/>
<variable units="millimolar_per_second" name="beta_up" initial_value="0.03"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millimolar" public_interface="in" name="Ca_up"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>K_cyca</ci>
<ci>K_xcs</ci>
</apply>
<ci>K_srca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_2</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<times/>
<ci>Ca_up</ci>
<ci>K_1</ci>
</apply>
<apply>
<times/>
<ci>K_cyca</ci>
<ci>K_xcs</ci>
</apply>
<ci>K_cyca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_up</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<ci>Ca_i</ci>
<ci>K_2</ci>
</apply>
<ci>alpha_up</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_up</ci>
<ci>K_1</ci>
</apply>
<ci>K_2</ci>
</apply>
<ci>beta_up</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_translocation">
<variable units="millimolar_per_second" public_interface="out" name="i_trans"/>
<variable units="millimolar" public_interface="in" name="Ca_rel"/>
<variable units="millimolar" public_interface="in" name="Ca_up"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_trans</ci>
<apply>
<times/>
<cn cellml:units="per_second">50</cn>
<apply>
<minus/>
<ci>Ca_up</ci>
<ci>Ca_rel</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_release">
<variable units="millimolar_per_second" public_interface="out" name="i_rel"/>
<variable units="dimensionless" name="VoltDep"/>
<variable units="dimensionless" name="RegBindSite"/>
<variable units="dimensionless" name="CaiReg"/>
<variable units="dimensionless" name="CadsReg"/>
<variable units="per_second" name="ActRate"/>
<variable units="per_second" name="InactRate"/>
<variable units="per_second" name="K_leak_rate" initial_value="0.05"/>
<variable units="per_second" name="K_m_rel" initial_value="250"/>
<variable units="millimolar" name="K_m_Ca_cyt" initial_value="0.0005"/>
<variable units="millimolar" name="K_m_Ca_ds" initial_value="0.01"/>
<variable units="dimensionless" name="PrecFrac"/>
<variable units="dimensionless" name="ActFrac" initial_value="0.0101647"/>
<variable units="dimensionless" name="ProdFrac" initial_value="0.9584464"/>
<variable units="dimensionless" name="SpeedRel"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="millivolt" public_interface="in" name="V"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millimolar" public_interface="in" name="Ca_ds"/>
<variable units="millimolar" public_interface="in" name="Ca_rel"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>VoltDep</ci>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.08</cn>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CaiReg</ci>
<apply>
<divide/>
<ci>Ca_i</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>K_m_Ca_cyt</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CadsReg</ci>
<apply>
<divide/>
<ci>Ca_ds</ci>
<apply>
<plus/>
<ci>Ca_ds</ci>
<ci>K_m_Ca_ds</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>RegBindSite</ci>
<apply>
<plus/>
<ci>CaiReg</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>CaiReg</ci>
</apply>
<ci>CadsReg</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ActRate</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_second">0</cn>
<ci>VoltDep</ci>
</apply>
<apply>
<times/>
<cn cellml:units="per_second">500</cn>
<apply>
<power/>
<ci>RegBindSite</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>InactRate</ci>
<apply>
<plus/>
<cn cellml:units="per_second">60</cn>
<apply>
<times/>
<cn cellml:units="per_second">500</cn>
<apply>
<power/>
<ci>RegBindSite</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>SpeedRel</ci>
<piecewise>
<piece>
<cn cellml:units="dimensionless">5</cn>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn cellml:units="millivolt">50</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="dimensionless">1</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>PrecFrac</ci>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>ActFrac</ci>
</apply>
<ci>ProdFrac</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ActFrac</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>PrecFrac</ci>
<ci>SpeedRel</ci>
<ci>ActRate</ci>
</apply>
<apply>
<times/>
<ci>ActFrac</ci>
<ci>SpeedRel</ci>
<ci>InactRate</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ProdFrac</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>ActFrac</ci>
<ci>SpeedRel</ci>
<ci>InactRate</ci>
</apply>
<apply>
<times/>
<ci>SpeedRel</ci>
<cn cellml:units="per_second">1</cn>
<ci>ProdFrac</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_rel</ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<ci>ActFrac</ci>
<apply>
<plus/>
<ci>ActFrac</ci>
<cn cellml:units="dimensionless">0.25</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>K_m_rel</ci>
</apply>
<ci>K_leak_rate</ci>
</apply>
<ci>Ca_rel</ci>
</apply>
</apply>
</math>
</component>
<component name="extracellular_sodium_concentration">
<variable units="millimolar" public_interface="out" name="Na_o" initial_value="140"/>
</component>
<component name="intracellular_sodium_concentration">
<variable units="millimolar" public_interface="out" name="Na_i" initial_value="5.6633707"/>
<variable units="micrometre3" public_interface="in" name="V_i"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="nanoA" public_interface="in" name="i_Na"/>
<variable units="nanoA" public_interface="in" name="i_b_Na"/>
<variable units="nanoA" public_interface="in" name="i_p_Na"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Na_cyt"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Na_ds"/>
<variable units="nanoA" public_interface="in" name="i_NaK"/>
<variable units="nanoA" public_interface="in" name="i_NaCa_cyt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<apply>
<times/>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_p_Na</ci>
<ci>i_b_Na</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_cyt</ci>
</apply>
<ci>i_Ca_L_Na_cyt</ci>
<ci>i_Ca_L_Na_ds</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="extracellular_calcium_concentration">
<variable units="millimolar" public_interface="out" name="Ca_o" initial_value="2"/>
</component>
<component name="extracellular_potassium_concentration">
<variable units="millimolar" public_interface="out" name="K_o" initial_value="4"/>
</component>
<component name="intracellular_potassium_concentration">
<variable units="millimolar" public_interface="out" name="K_i" initial_value="138.7963753"/>
<variable units="micrometre3" public_interface="in" name="V_i"/>
<variable units="nanoA" public_interface="in" name="i_K1"/>
<variable units="nanoA" public_interface="in" name="i_Kr"/>
<variable units="nanoA" public_interface="in" name="i_Ks"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_K_cyt"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_K_ds"/>
<variable units="nanoA" public_interface="in" name="i_to"/>
<variable units="nanoA" public_interface="in" name="i_NaK"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<apply>
<times/>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_K1</ci>
<ci>i_Kr</ci>
<ci>i_Ks</ci>
<ci>i_Ca_L_K_cyt</ci>
<ci>i_Ca_L_K_ds</ci>
<ci>i_to</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaK</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="intracellular_calcium_concentration">
<variable units="millimolar" public_interface="out" name="Ca_i" initial_value="5.44e-5"/>
<variable units="millimolar" public_interface="out" name="Ca_ds" initial_value="0.0018991"/>
<variable units="millimolar" public_interface="out" name="Ca_up" initial_value="0.7625025"/>
<variable units="millimolar" public_interface="out" name="Ca_rel" initial_value="0.7368094"/>
<variable units="millimolar" name="Ca_Calmod" initial_value="0.0018544"/>
<variable units="millimolar" name="Ca_Trop" initial_value="0.0012852"/>
<variable units="millimolar" name="Calmod" initial_value="0.02"/>
<variable units="millimolar" name="Trop" initial_value="0.05"/>
<variable units="per_millimolar_second" name="alpha_Calmod" initial_value="100000"/>
<variable units="per_second" name="beta_Calmod" initial_value="50"/>
<variable units="per_millimolar_second" name="alpha_Trop" initial_value="100000"/>
<variable units="per_second" name="beta_Trop" initial_value="200"/>
<variable units="micrometre" name="radius" initial_value="12"/>
<variable units="micrometre" name="length" initial_value="74"/>
<variable units="micrometre3" public_interface="out" name="V_i"/>
<variable units="micrometre3" name="V_Cell"/>
<variable units="dimensionless" name="V_i_ratio"/>
<variable units="dimensionless" name="V_ds_ratio" initial_value="0.1"/>
<variable units="dimensionless" name="V_rel_ratio" initial_value="0.1"/>
<variable units="dimensionless" name="V_e_ratio" initial_value="0.4"/>
<variable units="dimensionless" name="V_up_ratio" initial_value="0.01"/>
<variable units="per_second" name="Kdecay" initial_value="10"/>
<variable units="millimolar_per_second" public_interface="in" name="i_up"/>
<variable units="millimolar_per_second" public_interface="in" name="i_trans"/>
<variable units="millimolar_per_second" public_interface="in" name="i_rel"/>
<variable units="nanoA" public_interface="in" name="i_NaCa_cyt"/>
<variable units="nanoA" public_interface="in" name="i_NaCa_ds"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Ca_cyt"/>
<variable units="nanoA" public_interface="in" name="i_Ca_L_Ca_ds"/>
<variable units="nanoA" public_interface="in" name="i_b_Ca"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_Cell</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">3.141592654</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>radius</ci>
<cn cellml:units="dimensionless">1000</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>length</ci>
</apply>
<cn cellml:units="dimensionless">1000</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>V_i_ratio</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>V_e_ratio</ci>
</apply>
<ci>V_up_ratio</ci>
</apply>
<ci>V_rel_ratio</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_i</ci>
<apply>
<times/>
<ci>V_Cell</ci>
<ci>V_i_ratio</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_Ca_L_Ca_cyt</ci>
<ci>i_b_Ca</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaCa_cyt</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_ds</ci>
<ci>V_ds_ratio</ci>
<ci>Kdecay</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>i_rel</ci>
<ci>V_rel_ratio</ci>
</apply>
<ci>V_i_ratio</ci>
</apply>
</apply>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Calmod</ci>
</apply>
</apply>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Trop</ci>
</apply>
</apply>
<ci>i_up</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_ds</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mA_nA">1</cn>
</apply>
<ci>i_Ca_L_Ca_ds</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="litre_micrometre3">1</cn>
<ci>V_ds_ratio</ci>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_ds</ci>
<ci>Kdecay</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_up</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<ci>V_i_ratio</ci>
<ci>V_up_ratio</ci>
</apply>
<ci>i_up</ci>
</apply>
<ci>i_trans</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_rel</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<ci>V_up_ratio</ci>
<ci>V_rel_ratio</ci>
</apply>
<ci>i_trans</ci>
</apply>
<ci>i_rel</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Calmod</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Calmod</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>Calmod</ci>
<ci>Ca_Calmod</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Calmod</ci>
<ci>Ca_Calmod</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Trop</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Trop</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>Trop</ci>
<ci>Ca_Trop</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Trop</ci>
<ci>Ca_Trop</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f2_gate"/>
<component_ref component="L_type_Ca_channel_f2ds_gate"/>
</component_ref>
<component_ref component="rapid_delayed_rectifier_potassium_current">
<component_ref component="rapid_delayed_rectifier_potassium_current_xr_gate"/>
</component_ref>
<component_ref component="slow_delayed_rectifier_potassium_current">
<component_ref component="slow_delayed_rectifier_potassium_current_xs_gate"/>
</component_ref>
<component_ref component="time_independent_potassium_current"/>
<component_ref component="persistent_sodium_current"/>
<component_ref component="sodium_background_current"/>
<component_ref component="calcium_background_current"/>
<component_ref component="transient_outward_current">
<component_ref component="transient_outward_current_s_gate"/>
<component_ref component="transient_outward_current_r_gate"/>
</component_ref>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="sodium_calcium_exchanger"/>
<component_ref component="sarcoplasmic_reticulum_calcium_pump"/>
<component_ref component="calcium_translocation"/>
<component_ref component="calcium_release"/>
<component_ref component="extracellular_sodium_concentration"/>
<component_ref component="intracellular_sodium_concentration"/>
<component_ref component="extracellular_potassium_concentration"/>
<component_ref component="intracellular_potassium_concentration"/>
<component_ref component="extracellular_calcium_concentration"/>
<component_ref component="intracellular_calcium_concentration"/>
<component_ref component="reversal_potentials"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate"/>
<component_ref component="L_type_Ca_channel_f_gate"/>
<component_ref component="L_type_Ca_channel_f2_gate"/>
<component_ref component="L_type_Ca_channel_f2ds_gate"/>
</component_ref>
<component_ref component="transient_outward_current">
<component_ref component="transient_outward_current_s_gate"/>
<component_ref component="transient_outward_current_r_gate"/>
</component_ref>
<component_ref component="rapid_delayed_rectifier_potassium_current">
<component_ref component="rapid_delayed_rectifier_potassium_current_xr_gate"/>
</component_ref>
<component_ref component="slow_delayed_rectifier_potassium_current">
<component_ref component="slow_delayed_rectifier_potassium_current_xs_gate"/>
</component_ref>
</group>
<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="reversal_potentials"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="fast_sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="L_type_Ca_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="rapid_delayed_rectifier_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="persistent_sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="transient_outward_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_potassium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_calcium_exchanger"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_sodium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_potassium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_calcium_concentration"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sarcoplasmic_reticulum_calcium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_translocation"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="calcium_release"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="calcium_release"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="reversal_potentials" component_1="membrane"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ca_L_Ca_cyt" variable_1="i_Ca_L_Ca_cyt"/>
<map_variables variable_2="i_Ca_L_Ca_ds" variable_1="i_Ca_L_Ca_ds"/>
<map_variables variable_2="i_Ca_L_Na_cyt" variable_1="i_Ca_L_Na_cyt"/>
<map_variables variable_2="i_Ca_L_Na_ds" variable_1="i_Ca_L_Na_ds"/>
<map_variables variable_2="i_Ca_L_K_cyt" variable_1="i_Ca_L_K_cyt"/>
<map_variables variable_2="i_Ca_L_K_ds" variable_1="i_Ca_L_K_ds"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="rapid_delayed_rectifier_potassium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Kr" variable_1="i_Kr"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
</connection>
<connection>
<map_components component_2="slow_delayed_rectifier_potassium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_Ks" variable_1="i_Ks"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
</connection>
<connection>
<map_components component_2="transient_outward_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_to" variable_1="i_to"/>
</connection>
<connection>
<map_components component_2="time_independent_potassium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="persistent_sodium_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_p_Na" variable_1="i_p_Na"/>
<map_variables variable_2="Cm" variable_1="Cm"/>
</connection>
<connection>
<map_components component_2="sodium_background_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_b_Na" variable_1="i_b_Na"/>
</connection>
<connection>
<map_components component_2="calcium_background_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_b_Ca" variable_1="i_b_Ca"/>
</connection>
<connection>
<map_components component_2="sodium_potassium_pump" component_1="membrane"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
</connection>
<connection>
<map_components component_2="sodium_calcium_exchanger" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_NaCa_cyt" variable_1="i_NaCa_cyt"/>
<map_variables variable_2="i_NaCa_ds" variable_1="i_NaCa_ds"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="sodium_background_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="persistent_sodium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="time_independent_potassium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="rapid_delayed_rectifier_potassium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="slow_delayed_rectifier_potassium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_Ks" variable_1="E_Ks"/>
</connection>
<connection>
<map_components component_2="transient_outward_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="calcium_background_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_Ca" variable_1="E_Ca"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_mh" variable_1="E_mh"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="reversal_potentials"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="reversal_potentials"/>
<map_variables variable_2="Na_o" variable_1="Na_o"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="reversal_potentials"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="reversal_potentials"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="extracellular_calcium_concentration" component_1="reversal_potentials"/>
<map_variables variable_2="Ca_o" variable_1="Ca_o"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="reversal_potentials"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="time_independent_potassium_current"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="time_independent_potassium_current"/>
<map_variables variable_2="i_K1" variable_1="i_K1"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="rapid_delayed_rectifier_potassium_current"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="rapid_delayed_rectifier_potassium_current"/>
<map_variables variable_2="i_Kr" variable_1="i_Kr"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="slow_delayed_rectifier_potassium_current"/>
<map_variables variable_2="i_Ks" variable_1="i_Ks"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="fast_sodium_current"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="sodium_background_current"/>
<map_variables variable_2="i_b_Na" variable_1="i_b_Na"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="persistent_sodium_current"/>
<map_variables variable_2="i_p_Na" variable_1="i_p_Na"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="L_type_Ca_channel"/>
<map_variables variable_2="i_Ca_L_Na_cyt" variable_1="i_Ca_L_Na_cyt"/>
<map_variables variable_2="i_Ca_L_Na_ds" variable_1="i_Ca_L_Na_ds"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="L_type_Ca_channel"/>
<map_variables variable_2="i_Ca_L_Ca_cyt" variable_1="i_Ca_L_Ca_cyt"/>
<map_variables variable_2="i_Ca_L_Ca_ds" variable_1="i_Ca_L_Ca_ds"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="L_type_Ca_channel"/>
<map_variables variable_2="i_Ca_L_K_cyt" variable_1="i_Ca_L_K_cyt"/>
<map_variables variable_2="i_Ca_L_K_ds" variable_1="i_Ca_L_K_ds"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="L_type_Ca_channel"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="L_type_Ca_channel"/>
<map_variables variable_2="Na_o" variable_1="Na_o"/>
</connection>
<connection>
<map_components component_2="extracellular_calcium_concentration" component_1="L_type_Ca_channel"/>
<map_variables variable_2="Ca_o" variable_1="Ca_o"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="calcium_background_current"/>
<map_variables variable_2="i_b_Ca" variable_1="i_b_Ca"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="sodium_potassium_pump"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="extracellular_potassium_concentration" component_1="sodium_potassium_pump"/>
<map_variables variable_2="K_o" variable_1="K_o"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="sodium_potassium_pump"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
</connection>
<connection>
<map_components component_2="intracellular_potassium_concentration" component_1="transient_outward_current"/>
<map_variables variable_2="i_to" variable_1="i_to"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="sodium_calcium_exchanger"/>
<map_variables variable_2="i_NaCa_cyt" variable_1="i_NaCa_cyt"/>
<map_variables variable_2="i_NaCa_ds" variable_1="i_NaCa_ds"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
</connection>
<connection>
<map_components component_2="intracellular_sodium_concentration" component_1="sodium_calcium_exchanger"/>
<map_variables variable_2="i_NaCa_cyt" variable_1="i_NaCa_cyt"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
</connection>
<connection>
<map_components component_2="extracellular_sodium_concentration" component_1="sodium_calcium_exchanger"/>
<map_variables variable_2="Na_o" variable_1="Na_o"/>
</connection>
<connection>
<map_components component_2="extracellular_calcium_concentration" component_1="sodium_calcium_exchanger"/>
<map_variables variable_2="Ca_o" variable_1="Ca_o"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="sarcoplasmic_reticulum_calcium_pump"/>
<map_variables variable_2="i_up" variable_1="i_up"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Ca_up" variable_1="Ca_up"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="calcium_translocation"/>
<map_variables variable_2="i_trans" variable_1="i_trans"/>
<map_variables variable_2="Ca_rel" variable_1="Ca_rel"/>
<map_variables variable_2="Ca_up" variable_1="Ca_up"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="calcium_release"/>
<map_variables variable_2="i_rel" variable_1="i_rel"/>
<map_variables variable_2="Ca_rel" variable_1="Ca_rel"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
</connection>
<connection>
<map_components component_2="rapid_delayed_rectifier_potassium_current_xr_gate" component_1="rapid_delayed_rectifier_potassium_current"/>
<map_variables variable_2="xr" variable_1="xr"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="slow_delayed_rectifier_potassium_current_xs_gate" component_1="slow_delayed_rectifier_potassium_current"/>
<map_variables variable_2="xs" variable_1="xs"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current_m_gate" component_1="fast_sodium_current"/>
<map_variables variable_2="m" variable_1="m"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="fast_sodium_current_h_gate" component_1="fast_sodium_current"/>
<map_variables variable_2="h" variable_1="h"/>
<map_variables variable_2="proton" variable_1="proton"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel_d_gate" component_1="L_type_Ca_channel"/>
<map_variables variable_2="d" variable_1="d"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel_f_gate" component_1="L_type_Ca_channel"/>
<map_variables variable_2="f" variable_1="f"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel_f2_gate" component_1="L_type_Ca_channel"/>
<map_variables variable_2="f2" variable_1="f2"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Km_f2" variable_1="Km_f2"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel_f2ds_gate" component_1="L_type_Ca_channel"/>
<map_variables variable_2="f2ds" variable_1="f2ds"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="Ca_ds" variable_1="Ca_ds"/>
<map_variables variable_2="Km_f2ds" variable_1="Km_f2ds"/>
<map_variables variable_2="R_decay" variable_1="R_decay"/>
</connection>
<connection>
<map_components component_2="transient_outward_current_s_gate" component_1="transient_outward_current"/>
<map_variables variable_2="s" variable_1="s"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="transient_outward_current_r_gate" component_1="transient_outward_current"/>
<map_variables variable_2="r" variable_1="r"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="intracellular_sodium_concentration"/>
<map_variables variable_2="V_i" variable_1="V_i"/>
</connection>
<connection>
<map_components component_2="intracellular_calcium_concentration" component_1="intracellular_potassium_concentration"/>
<map_variables variable_2="V_i" variable_1="V_i"/>
</connection>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#8208b3c8-2634-4096-b542-446481ab11b6">
<rdf:li rdf:resource="rdf:#48b9f831-22c7-4bfe-8418-d9c2f7a84bed"/>
<rdf:li rdf:resource="rdf:#0951aa3a-d4ea-47ec-9a91-5c262fe555a3"/>
<rdf:li rdf:resource="rdf:#260264ff-08c5-4f75-be68-cac7b98cf779"/>
<rdf:li rdf:resource="rdf:#f0f01c2b-e6ab-459f-899d-136299ee59d2"/>
<rdf:li rdf:resource="rdf:#885dc8cc-6df9-4bd0-b919-205f0468885d"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#020c7362-cf13-495f-ba0f-9033e3834993">
<vCard:Given>SM</vCard:Given>
<vCard:Family>Bryant</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6fd332a6-f119-4ed5-b6f7-06dc09b14bcd">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>penny.noble@dpag.ox.ac.uk</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#885dc8cc-6df9-4bd0-b919-205f0468885d">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#8e9e3f22-1d00-4afe-8eeb-45fafcfc4395"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#43d5ab3d-26bf-4137-95fd-ecdc50df7fd9">
<vCard:Given>KW</vCard:Given>
<vCard:Family>Linz</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7f73d8d6-1681-46db-8c24-dff68f0759c1">
<vCard:FN/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f0f01c2b-e6ab-459f-899d-136299ee59d2">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#43d5ab3d-26bf-4137-95fd-ecdc50df7fd9"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#31c4c164-00c6-4b4e-af80-e172ae8f5be5">
<bqs:Pubmed_id>11073887</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#0140ed35-973d-42da-bf7e-627078ea59b7"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:title>Distribution of a persistent sodium current across the ventricular wall in guinea pigs (Midmyocardial Cell)</dc:title>
<dc:publisher/>
<cmeta:comment rdf:resource="rdf:#0b29ccfb-6fa0-44c9-ae91-cda2130da5c7"/>
<dcterms:created rdf:resource="rdf:#eb8cff64-1e47-4dfe-b3eb-7390a21883b9"/>
<dc:creator rdf:resource="rdf:#9f1f839b-d8f2-4281-a852-38c5a2ef470a"/>
<cmeta:modification rdf:resource="rdf:#a852d8bc-94c3-4316-b780-bbb19eb9bfe6"/>
</rdf:Description>
<rdf:Description rdf:about="#sakmann_2006_M">
<bqs:reference rdf:resource="rdf:#31c4c164-00c6-4b4e-af80-e172ae8f5be5"/>
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>persistent sodium current</rdf:li>
<rdf:li>guinea-pig</rdf:li>
<rdf:li>ventricular myocyte</rdf:li>
<rdf:li>guinea pig</rdf:li>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>cardiac</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
<cmeta:comment rdf:resource="rdf:#9badc3ef-a6b5-4801-a39e-8a910ff33d43"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#eb0ba425-28fa-4f22-80a6-5d6e5dfa9d41">
<vCard:Given>Penny</vCard:Given>
<vCard:Family>Noble</vCard:Family>
<vCard:Other/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0140ed35-973d-42da-bf7e-627078ea59b7">
<dc:creator rdf:resource="rdf:#8208b3c8-2634-4096-b542-446481ab11b6"/>
<dc:title>Distribution of a persistent sodium current across the ventricular wall in guinea pigs.</dc:title>
<bqs:volume>87</bqs:volume>
<bqs:first_page>910</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#37af484d-e20b-4302-99bf-3ba8b90c5dde"/>
<dcterms:issued rdf:resource="rdf:#6aab48e7-0244-43b0-a5d1-1d06d8cc95cb"/>
<bqs:last_page>914</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0951aa3a-d4ea-47ec-9a91-5c262fe555a3">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#92d0d2ea-130e-490b-95f4-cbe02d512c94"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8e9e3f22-1d00-4afe-8eeb-45fafcfc4395">
<vCard:Given>D</vCard:Given>
<vCard:Family>Noble</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#37af484d-e20b-4302-99bf-3ba8b90c5dde">
<dc:title>Circulation Research</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9f1f839b-d8f2-4281-a852-38c5a2ef470a">
<vCard:ORG rdf:resource="rdf:#af33a86a-041b-490a-a80e-4290f2d962ad"/>
<vCard:EMAIL rdf:resource="rdf:#6fd332a6-f119-4ed5-b6f7-06dc09b14bcd"/>
<vCard:N rdf:resource="rdf:#c7581b62-a870-4c2c-adf0-eb2ff7081346"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#92d0d2ea-130e-490b-95f4-cbe02d512c94">
<vCard:Given>AJ</vCard:Given>
<vCard:Family>Spindler</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2fc6da2f-11e4-4c02-bd4b-6c168cd5900e">
<dcterms:W3CDTF>2008-05-13T04:15:05+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#260264ff-08c5-4f75-be68-cac7b98cf779">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#020c7362-cf13-495f-ba0f-9033e3834993"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9badc3ef-a6b5-4801-a39e-8a910ff33d43">
<dc:creator rdf:resource="rdf:#7f73d8d6-1681-46db-8c24-dff68f0759c1"/>
<rdf:value/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#014b0ad3-dadd-4fbd-ac79-8b29ceeff2ef">
<vCard:FN>Penny Noble</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#583e8c28-c7ed-4ea9-8d10-3d303cbb4310">
<vCard:Given>BF</vCard:Given>
<vCard:Family>Sakmann</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a852d8bc-94c3-4316-b780-bbb19eb9bfe6">
<dcterms:modified rdf:resource="rdf:#2fc6da2f-11e4-4c02-bd4b-6c168cd5900e"/>
<rdf:value>Corrections to model name and IK equations.</rdf:value>
<cmeta:modifier rdf:resource="rdf:#5171d5a5-7960-485b-867f-36dea16819d7"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5171d5a5-7960-485b-867f-36dea16819d7">
<vCard:N rdf:resource="rdf:#eb0ba425-28fa-4f22-80a6-5d6e5dfa9d41"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#6aab48e7-0244-43b0-a5d1-1d06d8cc95cb">
<dcterms:W3CDTF>2000-11-00 00:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0b29ccfb-6fa0-44c9-ae91-cda2130da5c7">
<dc:creator rdf:resource="rdf:#014b0ad3-dadd-4fbd-ac79-8b29ceeff2ef"/>
<rdf:value>This model was based on the paper "Distribution of a Persistent Sodium Current Across theVentricular Wall in Guinea Pigs" by Bernhard F.A.S. Sakmann, Anthony J. Spindler, Simon M. Bryant, Klaus W. Linz and Denis Noble.
Reference: Circulation Research 2000 Nov 10;87(10):910-4.
The following is the abstract from the paper:
"A tetrodotoxin-sensitive persistent sodium current, IpNa, was found in guinea pig ventricular myocytes bywhole-cell patch clamping. This current was characterized in cells derived from the basal left ventricular subendocardium,midmyocardium, and subepicardium. Midmyocardial cells show a statistically significant (P,0.05) smaller IpNathan subendocardial and subepicardial myocytes. There was no significant difference in IpNa current density betweensubepicardial and subendocardial cells. Computer modeling studies support a role of this current in the dispersion ofaction potential duration across the ventricular wall."</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#c7581b62-a870-4c2c-adf0-eb2ff7081346">
<vCard:Given>Penny</vCard:Given>
<vCard:Family>Noble</vCard:Family>
<vCard:Other/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#af33a86a-041b-490a-a80e-4290f2d962ad">
<vCard:Orgname>University of Oxford</vCard:Orgname>
<vCard:Orgunit/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#48b9f831-22c7-4bfe-8418-d9c2f7a84bed">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#583e8c28-c7ed-4ea9-8d10-3d303cbb4310"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#eb8cff64-1e47-4dfe-b3eb-7390a21883b9">
<dcterms:W3CDTF>2008-05-13T00:00:00+00:00</dcterms:W3CDTF>
</rdf:Description>
</rdf:RDF>
</model>
