- Author:
- James Lawson <j.lawson@auckland.ac.nz>
- Date:
- 2009-06-29 13:40:55+12:00
- Desc:
- updated curation status, documentation
- Permanent Source URI:
- http://models.cellml.org/workspace/demir_clark_giles_murphey_1994/rawfile/3c31201695e7c263ccef2098df70ef22509d8c5e/demir_clark_giles_murphey_1994.cellml
<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 29/11/2005 at 13:26:48 using:
COR (0.9.31.137)
Copyright 2002-2005 Oxford Cardiac Electrophysiology Group
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#" cmeta:id="demir_clark_giles_murphey_1994_version01" name="demir_clark_giles_murphey_1994_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>A Mathematical Model Of A Rabbit Sinoatrial Node Cell, 1994</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This version of the model has been curated by Penny Noble using
COR and is known to read in to PCEnv and JSim.
</para><para>
ValidateCellML confirms this model as valid CellML detects units inconsistencies.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
In 1994 S.S. Demir <emphasis>et al</emphasis> published a mathematical model which describes the electrophysiological responses of a rabbit sinoatrial node cell (see <xref linkend="fig_cell_diagram"/> below). The model is based on voltage-clamp data from single, isolated myocytes. Ion channels, pumps and exchangers in the sarcolemma are described using equations for these known currents in mammalian pacemaker cells. The extracellular environment is treated as a diffusion limited space, and the myoplasm contains calcium binding proteins (calmodulin and troponin).
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
A mathematical model of a rabbit sinoatrial node cell, S.S. Demir, J.W. Clark, C.R. Murphey and W.R. Giles, 1994, <ulink url="http://ajpcell.physiology.org/">
<emphasis>American Journal of Physiology</emphasis>
</ulink>, 266, C832-C852. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=8166247&dopt=Abstract">PubMed ID: 8166247</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>cell diagram of the Demir et al SAN model showing ionic currents, pumps and exchangers within the sarcolemma</title>
</objectinfo>
<imagedata fileref="demir_1994.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Demir <emphasis>et al</emphasis> 1994 model of the electrophysiological activity in a SA node cell.</caption>
</informalfigure>
<informalfigure float="0" id="fig_cellml_rendering">
<mediaobject>
<imageobject>
<objectinfo>
<title>the cellml rendering of the Demir et al SAN model</title>
</objectinfo>
<imagedata fileref="cellml_rendering.gif"/>
</imageobject>
</mediaobject>
<caption>The network defined in the CellML description of the Demir <emphasis>et al</emphasis> 1994 model. For simplicity, not all the variables are shown.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="millisecond">
<unit units="second" prefix="milli"/>
</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="picoS">
<unit units="siemens" prefix="pico"/>
</units>
<units name="microF">
<unit units="farad" prefix="pico"/>
</units>
<units name="nanoA">
<unit units="ampere" prefix="nano"/>
</units>
<units name="picoA">
<unit units="ampere" prefix="pico"/>
</units>
<units name="millimolar">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="per_millimolar">
<unit units="mole" prefix="milli" exponent="-1"/>
<unit units="litre"/>
</units>
<units name="millimolar_per_second">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units name="nanomolar">
<unit units="mole" prefix="nano"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="microS_per_millimolar">
<unit units="microS"/>
<unit units="millimolar" exponent="-1"/>
</units>
<units name="nanoA_per_millimolar">
<unit units="picoA"/>
<unit units="millimolar" exponent="-1"/>
</units>
<units name="nanoA_per_nanomolar_4">
<unit units="picoA"/>
<unit units="nanomolar" exponent="-4"/>
</units>
<units name="millimolar_4">
<unit units="millimolar" exponent="-4"/>
</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="ml_per_second">
<unit units="litre" prefix="milli"/>
<unit units="second" exponent="-1"/>
</units>
<units name="mm_cubed">
<unit units="litre" prefix="micro"/>
</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="-49.54105"/>
<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" name="Cm" initial_value="5.5e-5"/>
<variable units="second" public_interface="in" name="time"/>
<variable units="picoA" public_interface="in" name="i_Na"/>
<variable units="picoA" public_interface="in" name="i_Ca_T"/>
<variable units="picoA" public_interface="in" name="i_Ca_L"/>
<variable units="picoA" public_interface="in" name="i_K"/>
<variable units="picoA" public_interface="in" name="i_f"/>
<variable units="picoA" public_interface="in" name="i_B"/>
<variable units="picoA" public_interface="in" name="i_NaK"/>
<variable units="picoA" public_interface="in" name="i_NaCa"/>
<variable units="picoA" public_interface="in" name="i_Ca_P"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>V</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_Ca_T</ci>
<ci>i_Ca_L</ci>
<ci>i_K</ci>
<ci>i_f</ci>
<ci>i_B</ci>
<ci>i_NaK</ci>
<ci>i_NaCa</ci>
<ci>i_Ca_P</ci>
</apply>
</apply>
<ci>Cm</ci>
</apply>
</apply>
</math>
</component>
<component name="sodium_current">
<variable units="picoA" public_interface="out" name="i_Na"/>
<variable units="ml_per_second" name="P_Na" initial_value="0.00344"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="millimolar" public_interface="in" name="Na_c"/>
<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="m"/>
<variable units="dimensionless" private_interface="in" name="h1"/>
<variable units="dimensionless" private_interface="in" name="h2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>P_Na</ci>
<apply>
<power/>
<ci>m</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>h1</ci>
<ci>h2</ci>
<ci>Na_c</ci>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_current_m_gate">
<variable units="dimensionless" public_interface="out" name="m" initial_value="0.2501130"/>
<variable units="dimensionless" name="m_infinity"/>
<variable units="second" name="tau_m"/>
<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"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_m</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt_second">824</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">51.9</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">51.9</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">8.9</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn cellml:units="per_second">32960</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">51.9</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">8.9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>m_infinity</ci>
<apply>
<divide/>
<ci>alpha_m</ci>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_m</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
</apply>
</apply>
<cn cellml:units="second">0.000015</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>m_infinity</ci>
<ci>m</ci>
</apply>
<ci>tau_m</ci>
</apply>
</apply>
</math>
</component>
<component name="sodium_current_h_gate">
<variable units="dimensionless" public_interface="out" name="h1" initial_value="0.001386897"/>
<variable units="dimensionless" public_interface="out" name="h2" initial_value="0.002065463"/>
<variable units="dimensionless" name="h1_infinity"/>
<variable units="dimensionless" name="h2_infinity"/>
<variable units="second" name="tau_h1"/>
<variable units="second" name="tau_h2"/>
<variable units="per_second" name="alpha_h1"/>
<variable units="per_second" name="beta_h1"/>
<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_h1</ci>
<apply>
<times/>
<cn cellml:units="per_second">165</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">101.3</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">12.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_h1</ci>
<apply>
<divide/>
<cn cellml:units="per_second">12360</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">320</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">101.3</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">12.6</cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>h1_infinity</ci>
<apply>
<divide/>
<ci>alpha_h1</ci>
<apply>
<plus/>
<ci>alpha_h1</ci>
<ci>beta_h1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_h1</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_h1</ci>
<ci>beta_h1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>h2_infinity</ci>
<ci>h1_infinity</ci>
</apply>
<apply>
<eq/>
<ci>tau_h2</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">20</cn>
<ci>tau_h1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h1</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>h1_infinity</ci>
<ci>h1</ci>
</apply>
<ci>tau_h1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>h2_infinity</ci>
<ci>h2</ci>
</apply>
<ci>tau_h2</ci>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel">
<variable units="picoA" public_interface="out" name="i_Ca_L"/>
<variable units="microS" name="g_Ca_L" initial_value="0.02115"/>
<variable units="millivolt" name="E_Ca_L" initial_value="46.4"/>
<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_L"/>
<variable units="dimensionless" private_interface="in" name="d_L_infinity"/>
<variable units="dimensionless" private_interface="in" name="f_L"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_L</ci>
<apply>
<times/>
<ci>g_Ca_L</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>f_L</ci>
<ci>d_L</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.095</cn>
<ci>d_L_infinity</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca_L</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_d_gate">
<variable units="dimensionless" public_interface="out" name="d_L" initial_value="0.002572773"/>
<variable units="dimensionless" public_interface="out" name="d_L_infinity"/>
<variable units="per_second" name="alpha_d_L"/>
<variable units="per_second" name="beta_d_L"/>
<variable units="second" name="tau_d_L"/>
<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_d_L</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt_second">28.39</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">35</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">35</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">2.5</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt_second">84.9</cn>
</apply>
<ci>V</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.208</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">11.43</cn>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.4</cn>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_L</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_d_L</ci>
<ci>beta_d_L</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d_L_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">14.1</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d_L</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>d_L_infinity</ci>
<ci>d_L</ci>
</apply>
<ci>tau_d_L</ci>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_gate">
<variable units="dimensionless" public_interface="out" name="f_L" initial_value="0.98651"/>
<variable units="per_second" name="alpha_f_L"/>
<variable units="per_second" name="beta_f_L"/>
<variable units="dimensionless" name="f_L_infinity"/>
<variable units="second" name="tau_f_L"/>
<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_f_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="per_millivolt_second">3.75</cn>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f_L</ci>
<apply>
<divide/>
<cn cellml:units="per_second">30</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">28</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_L</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_f_L</ci>
<ci>beta_f_L</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_L_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">30</cn>
</apply>
<cn cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_L</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_L_infinity</ci>
<ci>f_L</ci>
</apply>
<ci>tau_f_L</ci>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel">
<variable units="picoA" public_interface="out" name="i_Ca_T"/>
<variable units="microS" name="g_Ca_T" initial_value="0.02521"/>
<variable units="millivolt" name="E_Ca_T" initial_value="45"/>
<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_T"/>
<variable units="dimensionless" private_interface="in" name="f_T"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_T</ci>
<apply>
<times/>
<ci>g_Ca_T</ci>
<ci>d_T</ci>
<ci>f_T</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca_T</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_d_gate">
<variable units="dimensionless" public_interface="out" name="d_T" initial_value="0.02012114"/>
<variable units="per_second" name="alpha_d_T"/>
<variable units="per_second" name="beta_d_T"/>
<variable units="dimensionless" name="d_T_infinity"/>
<variable units="second" name="tau_d_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>alpha_d_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">1068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.3</cn>
</apply>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">1068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.3</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_T</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_d_T</ci>
<ci>beta_d_T</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>d_T_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">26.3</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d_T</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>d_T_infinity</ci>
<ci>d_T</ci>
</apply>
<ci>tau_d_T</ci>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_f_gate">
<variable units="dimensionless" public_interface="out" name="f_T" initial_value="0.1945111"/>
<variable units="per_second" name="alpha_f_T"/>
<variable units="per_second" name="beta_f_T"/>
<variable units="dimensionless" name="f_T_infinity"/>
<variable units="second" name="tau_f_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>alpha_f_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">15.3</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">61.7</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">83.3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f_T</ci>
<apply>
<times/>
<cn cellml:units="per_second">15</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">61.7</cn>
</apply>
<cn cellml:units="millivolt">15.38</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_T</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_f_T</ci>
<ci>beta_f_T</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_T_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">61.7</cn>
</apply>
<cn cellml:units="millivolt">5.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_T</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_T_infinity</ci>
<ci>f_T</ci>
</apply>
<ci>tau_f_T</ci>
</apply>
</apply>
</math>
</component>
<component name="delayed_rectifying_potassium_current">
<variable units="picoA" public_interface="out" name="i_K"/>
<variable units="microS" name="g_K"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<variable units="second" public_interface="in" private_interface="out" name="time"/>
<variable units="millivolt" public_interface="in" private_interface="out" name="V"/>
<variable units="millimolar" public_interface="in" name="K_b"/>
<variable units="dimensionless" private_interface="in" name="P_a"/>
<variable units="dimensionless" private_interface="in" name="P_i"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K</ci>
<apply>
<times/>
<cn cellml:units="microS">0.00693</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_b</ci>
<cn cellml:units="millimolar">1</cn>
</apply>
<cn cellml:units="dimensionless">0.59</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K</ci>
<apply>
<times/>
<ci>g_K</ci>
<ci>P_a</ci>
<ci>P_i</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="delayed_rectifying_potassium_current_P_a_gate">
<variable units="dimensionless" public_interface="out" name="P_a" initial_value="0.02302278"/>
<variable units="second" name="tau_P_a"/>
<variable units="dimensionless" name="P_a_infinity"/>
<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>P_a_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">5.1</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">7.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_P_a</ci>
<apply>
<divide/>
<cn cellml:units="second">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">17</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.0398</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2.11</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0510</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_a</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_a_infinity</ci>
<ci>P_a</ci>
</apply>
<ci>tau_P_a</ci>
</apply>
</apply>
</math>
</component>
<component name="delayed_rectifying_potassium_current_P_i_gate">
<variable units="dimensionless" public_interface="out" name="P_i" initial_value="0.3777728"/>
<variable units="per_second" name="alpha_P_i"/>
<variable units="per_second" name="beta_P_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/>
<ci>alpha_P_i</ci>
<apply>
<times/>
<cn cellml:units="per_second">100</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="per_millivolt">0.0183</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_P_i</ci>
<apply>
<times/>
<cn cellml:units="per_second">656</cn>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.00942</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_i</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_P_i</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>P_i</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_P_i</ci>
<ci>P_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="linear_background_current">
<variable units="picoA" public_interface="out" name="i_B"/>
<variable units="picoA" public_interface="out" name="i_B_Na"/>
<variable units="picoA" public_interface="out" name="i_B_Ca"/>
<variable units="picoA" public_interface="out" name="i_B_K"/>
<variable units="microS" name="g_B_Na" initial_value="0.000160"/>
<variable units="microS" name="g_B_Ca" initial_value="0.0000364"/>
<variable units="microS" name="g_B_K" initial_value="0.0000694"/>
<variable units="millivolt" public_interface="in" name="E_Na"/>
<variable units="millivolt" public_interface="in" name="E_Ca"/>
<variable units="millivolt" public_interface="in" name="E_K"/>
<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_B_Na</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_B_Ca</ci>
<apply>
<times/>
<ci>g_B_Ca</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_B_K</ci>
<apply>
<times/>
<ci>g_B_K</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_B</ci>
<apply>
<plus/>
<ci>i_B_Na</ci>
<ci>i_B_Ca</ci>
<ci>i_B_K</ci>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current">
<variable units="picoA" public_interface="out" name="i_f"/>
<variable units="picoA" public_interface="out" name="i_f_Na"/>
<variable units="picoA" public_interface="out" name="i_f_K"/>
<variable units="microS" name="g_f_Na" initial_value="0.0067478"/>
<variable units="microS" name="g_f_K" initial_value="0.0128821"/>
<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="y"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_f_Na</ci>
<apply>
<times/>
<ci>g_f_Na</ci>
<apply>
<power/>
<ci>y</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">75</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_K</ci>
<apply>
<times/>
<ci>g_f_K</ci>
<apply>
<power/>
<ci>y</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">85</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f</ci>
<apply>
<plus/>
<ci>i_f_Na</ci>
<ci>i_f_K</ci>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current_y_gate">
<variable units="dimensionless" public_interface="out" name="y" initial_value="0.09227776"/>
<variable units="dimensionless" name="y_infinity"/>
<variable units="second" name="tau_y"/>
<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>y_infinity</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">72.2</cn>
</apply>
<cn cellml:units="millivolt">9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_y</ci>
<apply>
<divide/>
<cn cellml:units="second">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">1.6483</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">54.06</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">24.33</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn cellml:units="dimensionless">14.01055</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">0.7</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">60</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">5.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>y</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>y_infinity</ci>
<ci>y</ci>
</apply>
<ci>tau_y</ci>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump">
<variable units="picoA" public_interface="out" name="i_NaK"/>
<variable units="millimolar" name="K_m_Na" initial_value="5.46"/>
<variable units="millimolar" name="K_m_K" initial_value="0.621"/>
<variable units="nanoA" name="i_NaK_max" initial_value="0.2192"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="K_c"/>
<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_NaK</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_NaK_max</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Na_i</ci>
<apply>
<plus/>
<ci>K_m_Na</ci>
<ci>Na_i</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>K_c</ci>
<apply>
<plus/>
<ci>K_m_K</ci>
<ci>K_c</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<cn cellml:units="dimensionless">1.6</cn>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.5</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn cellml:units="millivolt">60</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="millivolt">40</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_pump_current">
<variable units="picoA" public_interface="out" name="i_Ca_P"/>
<variable units="nanoA" name="i_Ca_P_max" initial_value="0.02869"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="second" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_P</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_Ca_P_max</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<ci>Ca_i</ci>
<cn cellml:units="millimolar">0.0004</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_calcium_pump">
<variable units="picoA" public_interface="out" name="i_NaCa"/>
<variable units="nanoA_per_nanomolar_4" name="K_NaCa" initial_value="0.00001248"/>
<variable units="millimolar_4" name="d_NaCa" initial_value="0.0001"/>
<variable units="dimensionless" name="gamma" initial_value="0.5"/>
<variable units="millimolar" public_interface="in" name="Na_i"/>
<variable units="millimolar" public_interface="in" name="Na_c"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="millimolar" public_interface="in" name="Ca_c"/>
<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</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>K_NaCa</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_c</ci>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.03743</cn>
<ci>V</ci>
<ci>gamma</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Na_c</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<times/>
<cn cellml:units="per_millivolt">0.03743</cn>
<ci>V</ci>
<apply>
<minus/>
<ci>gamma</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>d_NaCa</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>Ca_i</ci>
<apply>
<power/>
<ci>Na_c</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_c</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="intracellular_concentrations_and_buffer_equations">
<variable units="millimolar" public_interface="out" name="Na_i" initial_value="9.701621"/>
<variable units="millimolar" public_interface="out" name="Ca_i" initial_value="3.787018e-4"/>
<variable units="millimolar" public_interface="out" name="K_i" initial_value="1.407347e2"/>
<variable units="millimolar" name="Ca_Calmod" initial_value="0.1411678"/>
<variable units="millimolar" name="Ca_Trop" initial_value="0.07331396"/>
<variable units="millimolar" name="Ca_Mg_Trop" initial_value="0.7618549"/>
<variable units="millimolar" name="Mg_Mg_Trop" initial_value="0.2097049"/>
<variable units="dimensionless" name="phi_C"/>
<variable units="dimensionless" name="phi_TC"/>
<variable units="dimensionless" name="phi_TMgC"/>
<variable units="dimensionless" name="phi_TMgM"/>
<variable units="dimensionless" name="phi_B"/>
<variable units="millimolar" name="Mg_i" initial_value="2.5"/>
<variable units="dimensionless" name="F_C"/>
<variable units="dimensionless" name="F_TC"/>
<variable units="dimensionless" name="F_TMgC"/>
<variable units="mm_cubed" public_interface="in" name="Vol"/>
<variable units="mm_cubed" public_interface="out" name="V_i"/>
<variable units="picoA" public_interface="in" name="i_NaK"/>
<variable units="picoA" public_interface="in" name="i_NaCa"/>
<variable units="picoA" public_interface="in" name="i_B_Na"/>
<variable units="picoA" public_interface="in" name="i_f_Na"/>
<variable units="picoA" public_interface="in" name="i_Na"/>
<variable units="picoA" public_interface="in" name="i_K"/>
<variable units="picoA" public_interface="in" name="i_B_K"/>
<variable units="picoA" public_interface="in" name="i_f_K"/>
<variable units="picoA" public_interface="in" name="i_Ca_L"/>
<variable units="picoA" public_interface="in" name="i_Ca_T"/>
<variable units="picoA" public_interface="in" name="i_Ca_P"/>
<variable units="picoA" public_interface="in" name="i_B_Ca"/>
<variable units="picoA" public_interface="in" name="i_up"/>
<variable units="picoA" public_interface="in" name="i_rel"/>
<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_i</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.465</cn>
<ci>Vol</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>phi_C</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_millimolar">129000</cn>
<ci>Ca_i</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="per_millimolar">1</cn>
<ci>Ca_Calmod</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millimolar">307</cn>
<ci>Ca_Calmod</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Calmod</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millimolar_per_second">1</cn>
<ci>phi_C</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>phi_TC</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_millimolar">50500</cn>
<ci>Ca_i</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>Ca_Trop</ci>
<cn cellml:units="per_millimolar">1</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millimolar">252</cn>
<ci>Ca_Trop</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Trop</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millimolar_per_second">1</cn>
<ci>phi_TC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>phi_TMgC</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_millimolar">129000</cn>
<ci>Ca_i</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="per_millimolar">1</cn>
<apply>
<plus/>
<ci>Ca_Mg_Trop</ci>
<ci>Mg_Mg_Trop</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millimolar">4.25</cn>
<ci>Ca_Mg_Trop</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Mg_Trop</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millimolar_per_second">1</cn>
<ci>phi_TMgC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>phi_TMgM</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_millimolar">1290</cn>
<ci>Mg_i</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn cellml:units="per_millimolar">1</cn>
<apply>
<plus/>
<ci>Ca_Mg_Trop</ci>
<ci>Mg_Mg_Trop</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_millimolar">429</cn>
<ci>Mg_Mg_Trop</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Mg_Mg_Trop</ci>
</apply>
<apply>
<times/>
<cn cellml:units="millimolar_per_second">1</cn>
<ci>phi_TMgM</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>F_C</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.09</cn>
<ci>phi_C</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>F_TC</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.031</cn>
<ci>phi_TC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>F_TMgC</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.062</cn>
<ci>phi_TMgC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>phi_B</ci>
<apply>
<plus/>
<ci>F_C</ci>
<ci>F_TC</ci>
<ci>F_TMgC</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>i_NaK</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>i_NaCa</ci>
</apply>
<ci>i_B_Na</ci>
<ci>i_f_Na</ci>
<ci>i_Na</ci>
</apply>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>V_i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaK</ci>
</apply>
<apply>
<plus/>
<ci>i_K</ci>
<ci>i_f_K</ci>
<ci>i_B_K</ci>
</apply>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>V_i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>i_NaCa</ci>
</apply>
<ci>i_rel</ci>
</apply>
<apply>
<plus/>
<ci>i_Ca_L</ci>
<ci>i_Ca_T</ci>
<ci>i_Ca_P</ci>
<ci>i_B_Ca</ci>
<ci>i_up</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<times/>
<ci>phi_B</ci>
<cn cellml:units="millimolar_per_second">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="cleft_space_equations">
<variable units="millimolar" public_interface="out" name="Na_c" initial_value="139.9988"/>
<variable units="millimolar" public_interface="out" name="Ca_c" initial_value="2.004740"/>
<variable units="millimolar" public_interface="out" name="K_c" initial_value="5.389014"/>
<variable units="millimolar" public_interface="out" name="K_b" initial_value="5.4"/>
<variable units="millimolar" name="Na_b" initial_value="140"/>
<variable units="millimolar" name="Ca_b" initial_value="2"/>
<variable units="mm_cubed" public_interface="out" name="Vol" initial_value="3.497e-6"/>
<variable units="mm_cubed" name="V_c"/>
<variable units="second" name="tau_p" initial_value="0.01"/>
<variable units="picoA" public_interface="in" name="i_NaK"/>
<variable units="picoA" public_interface="in" name="i_NaCa"/>
<variable units="picoA" public_interface="in" name="i_B_Na"/>
<variable units="picoA" public_interface="in" name="i_f_Na"/>
<variable units="picoA" public_interface="in" name="i_Na"/>
<variable units="picoA" public_interface="in" name="i_K"/>
<variable units="picoA" public_interface="in" name="i_B_K"/>
<variable units="picoA" public_interface="in" name="i_f_K"/>
<variable units="picoA" public_interface="in" name="i_Ca_L"/>
<variable units="picoA" public_interface="in" name="i_Ca_T"/>
<variable units="picoA" public_interface="in" name="i_Ca_P"/>
<variable units="picoA" 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_c</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.136</cn>
<ci>Vol</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_c</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Na_b</ci>
<ci>Na_c</ci>
</apply>
<ci>tau_p</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<ci>i_Na</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>i_NaCa</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>i_NaK</ci>
</apply>
<ci>i_B_Na</ci>
<ci>i_f_Na</ci>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>V_c</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_c</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>K_b</ci>
<ci>K_c</ci>
</apply>
<ci>tau_p</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>i_NaK</ci>
</apply>
<ci>i_K</ci>
<ci>i_B_K</ci>
<ci>i_f_K</ci>
</apply>
<apply>
<times/>
<ci>F</ci>
<ci>V_c</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_c</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_b</ci>
<ci>Ca_c</ci>
</apply>
<ci>tau_p</ci>
</apply>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>i_NaCa</ci>
</apply>
<ci>i_Ca_L</ci>
<ci>i_Ca_T</ci>
<ci>i_Ca_P</ci>
<ci>i_B_Ca</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>V_c</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="SR_Ca_uptake_and_release">
<variable units="picoA" public_interface="out" name="i_rel"/>
<variable units="picoA" public_interface="out" name="i_up"/>
<variable units="millimolar" name="Ca_up" initial_value="16.95311"/>
<variable units="nanoA" name="alpha_up" initial_value="0.08"/>
<variable units="nanoA" name="beta_up" initial_value="0.072"/>
<variable units="millimolar" name="Ca_rel" initial_value="16.85024"/>
<variable units="nanoA_per_millimolar" name="alpha_rel" initial_value="0.5"/>
<variable units="picoA" name="i_tr"/>
<variable units="millimolar" name="K1"/>
<variable units="millimolar" name="K2"/>
<variable units="millimolar" name="k_cyca" initial_value="0.00005"/>
<variable units="millimolar" name="k_xcs" initial_value="0.9"/>
<variable units="millimolar" name="k_SRCa" initial_value="22"/>
<variable units="millimolar" name="k_rel" initial_value="0.004"/>
<variable units="per_second" name="r_act"/>
<variable units="per_second" name="r_inact"/>
<variable units="millimolar" name="Ca_Calse" initial_value="0.9528726"/>
<variable units="millimolar" name="phi_Calse"/>
<variable units="dimensionless" name="F1" initial_value="0.1133251"/>
<variable units="dimensionless" name="F2" initial_value="0.0007594214"/>
<variable units="dimensionless" name="F3" initial_value="0.8859153"/>
<variable units="mm_cubed" public_interface="in" name="V_i"/>
<variable units="mm_cubed" name="V_up"/>
<variable units="mm_cubed" name="V_rel"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<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>V_up</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.01166</cn>
<ci>V_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_rel</ci>
<apply>
<times/>
<cn cellml:units="dimensionless">0.001296</cn>
<ci>V_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>k_cyca</ci>
<ci>k_xcs</ci>
</apply>
<ci>k_SRCa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K2</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_up</ci>
<ci>K1</ci>
</apply>
<cn cellml:units="millimolar">1</cn>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>k_cyca</ci>
<ci>k_xcs</ci>
</apply>
<cn cellml:units="millimolar">1</cn>
</apply>
<ci>k_cyca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>r_act</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="per_second">240</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>V</ci>
<cn cellml:units="millivolt">40</cn>
</apply>
<cn cellml:units="per_millivolt">0.08</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_second">240</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_i</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>k_rel</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r_inact</ci>
<apply>
<plus/>
<cn cellml:units="per_second">40</cn>
<apply>
<times/>
<cn cellml:units="per_second">240</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_i</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>k_rel</ci>
</apply>
</apply>
<cn cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>phi_Calse</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_millimolar">770</cn>
<ci>Ca_rel</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">1</cn>
<ci>Ca_Calse</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">641</cn>
<ci>Ca_Calse</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Calse</ci>
</apply>
<apply>
<times/>
<cn cellml:units="per_second">1</cn>
<ci>phi_Calse</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F1</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="per_second">0.96</cn>
<ci>F3</ci>
</apply>
<apply>
<times/>
<ci>r_act</ci>
<ci>F1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F2</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>r_act</ci>
<ci>F1</ci>
</apply>
<apply>
<times/>
<ci>r_inact</ci>
<ci>F2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>r_inact</ci>
<ci>F2</ci>
</apply>
<apply>
<times/>
<cn cellml:units="per_second">0.96</cn>
<ci>F3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_rel</ci>
<apply>
<times/>
<ci>alpha_rel</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>F2</ci>
<apply>
<plus/>
<ci>F2</ci>
<cn cellml:units="dimensionless">0.25</cn>
</apply>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>Ca_rel</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_tr</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>Ca_up</ci>
<ci>Ca_rel</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
<ci>V_up</ci>
</apply>
<cn cellml:units="second">0.06418</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>i_up</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_up</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>beta_up</ci>
<ci>Ca_up</ci>
<ci>K1</ci>
</apply>
<cn cellml:units="millimolar">1</cn>
</apply>
</apply>
<ci>K2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_up</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>i_up</ci>
<ci>i_tr</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_up</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_rel</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<minus/>
<ci>i_tr</ci>
<ci>i_rel</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_rel</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="per_second">11.48</cn>
<ci>phi_Calse</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_Ca"/>
<variable units="millimolar" public_interface="in" name="K_c"/>
<variable units="millimolar" public_interface="in" name="Na_c"/>
<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_c"/>
<variable units="millimolar" public_interface="in" name="Ca_i"/>
<variable units="joule_per_kilomole_kelvin" public_interface="in" name="R"/>
<variable units="kelvin" public_interface="in" name="T"/>
<variable units="coulomb_per_mole" public_interface="in" name="F"/>
<variable units="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_c</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_c</ci>
<ci>K_i</ci>
</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_c</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="sodium_current">
<component_ref component="sodium_current_m_gate"/>
<component_ref component="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_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_d_gate"/>
<component_ref component="T_type_Ca_channel_f_gate"/>
</component_ref>
<component_ref component="delayed_rectifying_potassium_current">
<component_ref component="delayed_rectifying_potassium_current_P_a_gate"/>
<component_ref component="delayed_rectifying_potassium_current_P_i_gate"/>
</component_ref>
<component_ref component="linear_background_current"/>
<component_ref component="hyperpolarisation_activated_current">
<component_ref component="hyperpolarisation_activated_current_y_gate"/>
</component_ref>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="calcium_pump_current"/>
<component_ref component="sodium_calcium_pump"/>
<component_ref component="intracellular_concentrations_and_buffer_equations"/>
<component_ref component="cleft_space_equations"/>
<component_ref component="SR_Ca_uptake_and_release"/>
<component_ref component="reversal_potentials"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="sodium_current">
<component_ref component="sodium_current_m_gate"/>
<component_ref component="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_ref component="T_type_Ca_channel">
<component_ref component="T_type_Ca_channel_d_gate"/>
<component_ref component="T_type_Ca_channel_f_gate"/>
</component_ref>
<component_ref component="delayed_rectifying_potassium_current">
<component_ref component="delayed_rectifying_potassium_current_P_a_gate"/>
<component_ref component="delayed_rectifying_potassium_current_P_i_gate"/>
</component_ref>
<component_ref component="hyperpolarisation_activated_current">
<component_ref component="hyperpolarisation_activated_current_y_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="sodium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="L_type_Ca_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="T_type_Ca_channel"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="delayed_rectifying_potassium_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="linear_background_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="hyperpolarisation_activated_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="calcium_pump_current"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="sodium_calcium_pump"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="cleft_space_equations"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="SR_Ca_uptake_and_release"/>
<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="sodium_current" component_1="membrane"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="L_type_Ca_channel" component_1="membrane"/>
<map_variables variable_2="i_Ca_L" variable_1="i_Ca_L"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="T_type_Ca_channel" component_1="membrane"/>
<map_variables variable_2="i_Ca_T" variable_1="i_Ca_T"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="delayed_rectifying_potassium_current" component_1="membrane"/>
<map_variables variable_2="i_K" variable_1="i_K"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="linear_background_current" component_1="membrane"/>
<map_variables variable_2="V" variable_1="V"/>
<map_variables variable_2="i_B" variable_1="i_B"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current" component_1="membrane"/>
<map_variables variable_2="i_f" variable_1="i_f"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="membrane" component_1="calcium_pump_current"/>
<map_variables variable_2="i_Ca_P" variable_1="i_Ca_P"/>
</connection>
<connection>
<map_components component_2="sodium_potassium_pump" component_1="membrane"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="sodium_calcium_pump" component_1="membrane"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
</connection>
<connection>
<map_components component_2="SR_Ca_uptake_and_release" component_1="membrane"/>
<map_variables variable_2="F" variable_1="F"/>
<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="sodium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
</connection>
<connection>
<map_components component_2="sodium_current" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
</connection>
<connection>
<map_components component_2="sodium_current" component_1="cleft_space_equations"/>
<map_variables variable_2="i_Na" variable_1="i_Na"/>
<map_variables variable_2="Na_c" variable_1="Na_c"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="L_type_Ca_channel"/>
<map_variables variable_2="i_Ca_L" variable_1="i_Ca_L"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="L_type_Ca_channel"/>
<map_variables variable_2="i_Ca_L" variable_1="i_Ca_L"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="T_type_Ca_channel"/>
<map_variables variable_2="i_Ca_T" variable_1="i_Ca_T"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="T_type_Ca_channel"/>
<map_variables variable_2="i_Ca_T" variable_1="i_Ca_T"/>
</connection>
<connection>
<map_components component_2="delayed_rectifying_potassium_current" component_1="cleft_space_equations"/>
<map_variables variable_2="i_K" variable_1="i_K"/>
<map_variables variable_2="K_b" variable_1="K_b"/>
</connection>
<connection>
<map_components component_2="delayed_rectifying_potassium_current" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="i_K" variable_1="i_K"/>
</connection>
<connection>
<map_components component_2="delayed_rectifying_potassium_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="linear_background_current" component_1="reversal_potentials"/>
<map_variables variable_2="E_Na" variable_1="E_Na"/>
<map_variables variable_2="E_Ca" variable_1="E_Ca"/>
<map_variables variable_2="E_K" variable_1="E_K"/>
</connection>
<connection>
<map_components component_2="linear_background_current" component_1="cleft_space_equations"/>
<map_variables variable_2="i_B_Na" variable_1="i_B_Na"/>
<map_variables variable_2="i_B_Ca" variable_1="i_B_Ca"/>
<map_variables variable_2="i_B_K" variable_1="i_B_K"/>
</connection>
<connection>
<map_components component_2="linear_background_current" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="i_B_Na" variable_1="i_B_Na"/>
<map_variables variable_2="i_B_Ca" variable_1="i_B_Ca"/>
<map_variables variable_2="i_B_K" variable_1="i_B_K"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="i_f_K" variable_1="i_f_K"/>
<map_variables variable_2="i_f_Na" variable_1="i_f_Na"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current" component_1="cleft_space_equations"/>
<map_variables variable_2="i_f_K" variable_1="i_f_K"/>
<map_variables variable_2="i_f_Na" variable_1="i_f_Na"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="sodium_potassium_pump"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="sodium_potassium_pump"/>
<map_variables variable_2="K_c" variable_1="K_c"/>
<map_variables variable_2="i_NaK" variable_1="i_NaK"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="calcium_pump_current"/>
<map_variables variable_2="i_Ca_P" variable_1="i_Ca_P"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="calcium_pump_current"/>
<map_variables variable_2="i_Ca_P" variable_1="i_Ca_P"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="sodium_calcium_pump"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="sodium_calcium_pump"/>
<map_variables variable_2="Ca_c" variable_1="Ca_c"/>
<map_variables variable_2="Na_c" variable_1="Na_c"/>
<map_variables variable_2="i_NaCa" variable_1="i_NaCa"/>
</connection>
<connection>
<map_components component_2="intracellular_concentrations_and_buffer_equations" component_1="reversal_potentials"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="reversal_potentials"/>
<map_variables variable_2="K_c" variable_1="K_c"/>
<map_variables variable_2="Na_c" variable_1="Na_c"/>
<map_variables variable_2="Ca_c" variable_1="Ca_c"/>
</connection>
<connection>
<map_components component_2="cleft_space_equations" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="Vol" variable_1="Vol"/>
</connection>
<connection>
<map_components component_2="SR_Ca_uptake_and_release" component_1="intracellular_concentrations_and_buffer_equations"/>
<map_variables variable_2="i_rel" variable_1="i_rel"/>
<map_variables variable_2="i_up" variable_1="i_up"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="V_i" variable_1="V_i"/>
</connection>
<connection>
<map_components component_2="sodium_current_m_gate" component_1="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="sodium_current_h_gate" component_1="sodium_current"/>
<map_variables variable_2="h1" variable_1="h1"/>
<map_variables variable_2="h2" variable_1="h2"/>
<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_L" variable_1="d_L"/>
<map_variables variable_2="d_L_infinity" variable_1="d_L_infinity"/>
<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_L" variable_1="f_L"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="T_type_Ca_channel_d_gate" component_1="T_type_Ca_channel"/>
<map_variables variable_2="d_T" variable_1="d_T"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="T_type_Ca_channel_f_gate" component_1="T_type_Ca_channel"/>
<map_variables variable_2="f_T" variable_1="f_T"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="delayed_rectifying_potassium_current_P_a_gate" component_1="delayed_rectifying_potassium_current"/>
<map_variables variable_2="P_a" variable_1="P_a"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="delayed_rectifying_potassium_current_P_i_gate" component_1="delayed_rectifying_potassium_current"/>
<map_variables variable_2="P_i" variable_1="P_i"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<connection>
<map_components component_2="hyperpolarisation_activated_current_y_gate" component_1="hyperpolarisation_activated_current"/>
<map_variables variable_2="y" variable_1="y"/>
<map_variables variable_2="time" variable_1="time"/>
<map_variables variable_2="V" variable_1="V"/>
</connection>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#citationAuthorsSeq">
<rdf:li rdf:resource="rdf:#author1Vcard"/>
<rdf:li rdf:resource="rdf:#author2Vcard"/>
<rdf:li rdf:resource="rdf:#author3Vcard"/>
<rdf:li rdf:resource="rdf:#author4Vcard"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#be39a29b-0829-4d71-8ca3-5cb8e71d6220">
<bqs:JournalArticle rdf:resource="rdf:#ccca7b13-1d58-4de0-880b-bb8e5b3a0e84"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1f7e39e4-c589-424e-b1e1-087042a2918e">
<vCard:Given>Peter</vCard:Given>
<vCard:Family>Villiger</vCard:Family>
<vCard:Other>J</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author4Vcard">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#author4VcardN"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a047a17c-984a-42c7-92b8-b1fce8634695">
<vCard:N rdf:resource="rdf:#1f7e39e4-c589-424e-b1e1-087042a2918e"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author1Vcard">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#author1VcardN"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ff75bcdc-f5c1-470d-83a6-6e441fd6628c">
<vCard:Given>Penny</vCard:Given>
<vCard:Family>Noble</vCard:Family>
<vCard:Other>unknown</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="">
<cmeta:modification rdf:resource="rdf:#fff5b863-1b9a-4086-97e4-2706cd17995b"/>
<dcterms:created rdf:resource="rdf:#44b0544d-7a05-4a72-8615-0a3569d6b566"/>
<dc:creator rdf:resource="rdf:#e5a3ad1c-9241-4f04-93fc-23e48f5cdc9d"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author3VcardN">
<vCard:Given>W</vCard:Given>
<vCard:Family>Giles</vCard:Family>
<vCard:Other>R</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author2VcardN">
<vCard:Given>J</vCard:Given>
<vCard:Family>Clark</vCard:Family>
<vCard:Other>W</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author2Vcard">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#author2VcardN"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#b859390d-732f-4fc4-bf64-c23b19a7e169">
<vCard:Orgname>Oxford University</vCard:Orgname>
<vCard:Orgunit>unknown</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#81a6687f-782b-4061-879d-088b6ffd132e">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>penny.noble@physiol.ox.ac.uk</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ccca7b13-1d58-4de0-880b-bb8e5b3a0e84">
<dc:creator rdf:resource="rdf:#citationAuthorsSeq"/>
<dc:title>A Mathematical Model of a Rabbit Sinoatrial Node Cell</dc:title>
<bqs:volume>266</bqs:volume>
<bqs:first_page>C832</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#44eae6fb-5245-45f2-96ae-2582f6506a4b"/>
<dcterms:issued rdf:resource="rdf:#618443dc-d57f-4b90-931c-dd75f55f6ff5"/>
<bqs:last_page>C852</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#18f15d86-eb6b-44d5-966b-0204df5e20a1">
<dcterms:W3CDTF>2006-03-31</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#618443dc-d57f-4b90-931c-dd75f55f6ff5">
<dcterms:W3CDTF>1994-01-01</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#44b0544d-7a05-4a72-8615-0a3569d6b566">
<dcterms:W3CDTF>2002-01-30</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author3Vcard">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#author3VcardN"/>
</rdf:Description>
<rdf:Description rdf:about="#demir_clark_giles_murphey_1994_version01">
<bqs:reference rdf:resource="rdf:#be39a29b-0829-4d71-8ca3-5cb8e71d6220"/>
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>sinoatrial node</rdf:li>
<rdf:li>rabbit</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author1VcardN">
<vCard:Given>S</vCard:Given>
<vCard:Family>Demir</vCard:Family>
<vCard:Other>S</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#fff5b863-1b9a-4086-97e4-2706cd17995b">
<dcterms:modified rdf:resource="rdf:#18f15d86-eb6b-44d5-966b-0204df5e20a1"/>
<rdf:value>
added metadata
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#a047a17c-984a-42c7-92b8-b1fce8634695"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e5a3ad1c-9241-4f04-93fc-23e48f5cdc9d">
<vCard:ORG rdf:resource="rdf:#b859390d-732f-4fc4-bf64-c23b19a7e169"/>
<vCard:EMAIL rdf:resource="rdf:#81a6687f-782b-4061-879d-088b6ffd132e"/>
<vCard:N rdf:resource="rdf:#ff75bcdc-f5c1-470d-83a6-6e441fd6628c"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author4VcardN">
<vCard:Given>C</vCard:Given>
<vCard:Family>Murphey</vCard:Family>
<vCard:Other>R</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#44eae6fb-5245-45f2-96ae-2582f6506a4b">
<dc:title>American Journal of Physiology</dc:title>
</rdf:Description>
</rdf:RDF>
</model>
