- Author:
- rcai987 <devnull@localhost>
- Date:
- 2015-01-16 12:37:34+13:00
- Desc:
- Added annotations to boyett_zhang_garny_holden_2001 model
- Permanent Source URI:
- https://models.cellml.org/workspace/boyett_zhang_garny_holden_2001/rawfile/38940e98896f530598d42a18eeced9c2dd4202db/boyett_zhang_garny_holden_2001.cellml
<?xml version="1.0"?>
<!-- FILE : boyett_SAN_model_2001.xml
CREATED : 28th January 2002
LAST MODIFIED : 20th April 2005
AUTHOR : Catherine Lloyd
Department of Engineering Science
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/01/2002 CellML Metadata 1.0 Specification.
DESCRIPTION : This file contains a CellML description of Boyett et al's 2001
mathematical model of control of the pacemaker activity of the sinoatrial node.
CHANGES:
25/02/2002 - CML - Corrected several equations.
19/07/2002 - CML - Added more metadata.
20/04/2005 - PJV - Updated syntax to conform with cellml 1.1 specs
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Modelling The Effect Of Intracellular Ca2+ On Sinoatrial Node Action Potentials, 2001</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This model is valid CellML. However the model will not run in either OpenCell or COR and the model requires further curation.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: The possible effects of intracellular Ca2+ on the pacemaker of the heart, the sinoatrial node, are reviewed. In mammalian sinoatrial node, reduction or abolition of the intracellular Ca2+ transient by ryanodine, sarcoplasmic reticulum Ca2+ pump block or 1,2-bis(2-aminophenoxy)ethane-N, N, N', N'-tetraacetic acid (BAPTA) reduces the spontaneous rate by 21-32%, whereas in amphibian sinus venosus it abolishes spontaneous activity. In rabbit sinoatrial node, ryanodine/BAPTA reduces the T-type Ca2+ current (iCa,T), perhaps slows inactivation of the L-type Ca2+ current (iCa,L), reduces the inward Na+-Ca2+ exchange current (iNaCa), and reduces the rapid and slow delayed rectifier K+ currents (iK,r and iK,s, respectively). Other evidence shows that a reduction of intracellular Ca2+ inhibits the hyperpolarization-activated current (if). These putative intracellular Ca2+-dependent changes in ionic currents have been incorporated into different models of rabbit sinoatrial node action potentials. In the models, block of the Ca2+ transient reduced the spontaneous rate by 24 and 26% in the central and peripheral models of Zhang and others, 13% in the Oxsoft model (Noble et al.), 9% in the model of Wilders and others, and 41% in the model of Demir and others. In all models, the reduction in rate was not primarily the result of the decrease in iNaCa, but instead the combination of all changes in ionic currents.
</para>
<para>
The original paper reference is cited below:
</para>
<para>
Control of the pacemaker activity of the sinoatrial node by intracellular Ca<superscript>2+</superscript>. Experiments and modelling, M.R. Boyett, H. Zhang, A. Garny and A.V. Holden, 2001, <emphasis>Phil. Trans. R. Soc. Lond. A.</emphasis>, 359, 1091-1110. (note there is no PubMed ID for this publication).
</para>
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<mediaobject>
<imageobject>
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<title>cell diagram of the Boyett et al SAN model showing ionic currents, pumps and exchangers within the sarcolemma and the sarcoplasmic reticulum</title>
</objectinfo>
<imagedata fileref="boyett_2001.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Boyett <emphasis>et al</emphasis> 2001 model of the action potentials in the peripheral cells of the SA node.</caption>
</informalfigure>
</sect1>
</article>
</documentation>
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<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.003732</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.3426</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">37.76</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.0005977</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_h2</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="second">3.186<sep/>-8</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.6219</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">18.8</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="dimensionless">7.189<sep/>-5</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.6683</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34.07</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.003556</cn>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00035" name="L_type_Ca_channel">
<variable cmeta:id="id_00037" name="FCell" private_interface="out" public_interface="in" units="dimensionless"/>
<variable cmeta:id="L_type_Ca_channel_i_Ca_L" name="i_Ca_L" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00036" initial_value="0.0058" name="g_Ca_L_Centre" units="microS"/>
<variable cmeta:id="id_00038" initial_value="0.0659" name="g_Ca_L_Periphery" units="microS"/>
<variable cmeta:id="id_00039" name="g_Ca_L" units="microS"/>
<variable cmeta:id="id_00040" initial_value="46.4" name="E_Ca_L" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="d_L" private_interface="in" units="dimensionless"/>
<variable name="f_L" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Ca_L</ci>
<apply>
<plus/>
<ci>g_Ca_L_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_Ca_L_Periphery</ci>
<ci>g_Ca_L_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<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>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.006</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">14.1</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ca_L</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00041" name="L_type_Ca_channel_d_gate">
<variable cmeta:id="id_00042" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00043" initial_value="0.04804900895" name="d_L" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00044" name="alpha_d_L" units="per_second"/>
<variable cmeta:id="id_00045" name="beta_d_L" units="per_second"/>
<variable cmeta:id="id_00046" name="d_L_infinity" units="dimensionless"/>
<variable cmeta:id="id_00047" name="tau_d_L" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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>
<apply>
<eq/>
<ci>alpha_d_L</ci>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">28.38</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">35</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">35</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2.5</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">84.9</cn>
<ci>V</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.208</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">11.42</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.4</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_L</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">23.1</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00048" name="L_type_Ca_channel_f_gate">
<variable cmeta:id="id_00049" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00050" initial_value="0.48779845203" name="f_L" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00051" name="alpha_f_L" units="per_second"/>
<variable cmeta:id="id_00052" name="beta_f_L" units="per_second"/>
<variable cmeta:id="id_00053" name="f_L_infinity" units="dimensionless"/>
<variable cmeta:id="id_00054" name="tau_f_L" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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>
<apply>
<eq/>
<ci>alpha_f_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">3.12</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">28</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">28</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f_L</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">25</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">28</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_L</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">45</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00055" name="T_type_Ca_channel">
<variable cmeta:id="id_00056" name="FCell" private_interface="out" public_interface="in" units="dimensionless"/>
<variable cmeta:id="T_type_Ca_channel_i_Ca_T" name="i_Ca_T" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00057" initial_value="0.0043" name="g_Ca_T_Centre" units="microS"/>
<variable cmeta:id="id_00058" initial_value="0.0139" name="g_Ca_T_Periphery" units="microS"/>
<variable cmeta:id="id_00059" name="g_Ca_T" units="microS"/>
<variable cmeta:id="id_00060" initial_value="45" name="E_Ca_T" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable cmeta:id="id_00061" name="d_T" private_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00062" name="f_T" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_Ca_T</ci>
<apply>
<plus/>
<ci>g_Ca_T_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_Ca_T_Periphery</ci>
<ci>g_Ca_T_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<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 cmeta:id="id_00063" name="T_type_Ca_channel_d_gate">
<variable cmeta:id="id_00064" initial_value="0.42074047435" name="d_T" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00065" name="alpha_d_T" units="per_second"/>
<variable cmeta:id="id_00066" name="beta_d_T" units="per_second"/>
<variable cmeta:id="id_00067" name="d_T_infinity" units="dimensionless"/>
<variable cmeta:id="id_00068" name="tau_d_T" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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>
<apply>
<eq/>
<ci>alpha_d_T</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">26.3</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_d_T</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">26.3</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d_T</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">37</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00069" name="T_type_Ca_channel_f_gate">
<variable cmeta:id="id_00070" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="id_00071" initial_value="0.038968420558" name="f_T" public_interface="out" units="dimensionless"/>
<variable cmeta:id="id_00072" name="alpha_f_T" units="per_second"/>
<variable cmeta:id="id_00073" name="beta_f_T" units="per_second"/>
<variable cmeta:id="id_00074" name="f_T_infinity" units="dimensionless"/>
<variable cmeta:id="id_00075" name="tau_f_T" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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>
<apply>
<eq/>
<ci>alpha_f_T</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">15.3</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">71.7</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">83.3</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_f_T</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">15</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">71.7</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15.38</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_T</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">71</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="four_AP_sensitive_currents">
<variable name="FCell" private_interface="out" public_interface="in" units="dimensionless"/>
<variable cmeta:id="four_AP_sensitive_currents_i_to" name="i_to" public_interface="out" units="nanoA"/>
<variable cmeta:id="four_AP_sensitive_currents_i_sus" name="i_sus" public_interface="out" units="nanoA"/>
<variable initial_value="0.00491" name="g_to_Centre" units="microS"/>
<variable initial_value="0.03649" name="g_to_Periphery" units="microS"/>
<variable name="g_to" units="microS"/>
<variable initial_value="6.65e-5" name="g_sus_Centre" units="microS"/>
<variable initial_value="0.0114" name="g_sus_Periphery" units="microS"/>
<variable name="g_sus" units="microS"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="q" private_interface="in" units="dimensionless"/>
<variable name="r" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_to</ci>
<apply>
<plus/>
<ci>g_to_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_to_Periphery</ci>
<ci>g_to_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_sus</ci>
<apply>
<plus/>
<ci>g_sus_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_sus_Periphery</ci>
<ci>g_sus_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_to</ci>
<apply>
<times/>
<ci>g_to</ci>
<ci>q</ci>
<ci>r</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_sus</ci>
<apply>
<times/>
<ci>g_sus</ci>
<ci>r</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="four_AP_sensitive_currents_q_gate">
<variable name="FCell" public_interface="in" units="dimensionless"/>
<variable initial_value="0.29760539675" name="q" public_interface="out" units="dimensionless"/>
<variable name="q_infinity" units="dimensionless"/>
<variable name="tau_q" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>q_infinity</ci>
<ci>q</ci>
</apply>
<ci>tau_q</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_infinity</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">59.37</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_q</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.0101</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">0.06517</cn>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.57</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.08</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">49</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" type="e-notation" cellml:units="second">2.4<sep/>-5</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50.93</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="four_AP_sensitive_currents_r_gate">
<variable initial_value="0.064402950262" name="r" public_interface="out" units="dimensionless"/>
<variable name="r_infinity" units="dimensionless"/>
<variable name="tau_r" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>r</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>r_infinity</ci>
<ci>r</ci>
</apply>
<ci>tau_r</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>r_infinity</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10.93</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">19.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_r</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.001</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">2.98</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">15.59</cn>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.037</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.09</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">30.61</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.369</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.12</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">23.84</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00153" name="rapid_delayed_rectifying_potassium_current">
<variable cmeta:id="id_00154" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="rapid_delayed_rectifying_potassium_current_i_K_r" name="i_K_r" public_interface="out" units="nanoA"/>
<variable initial_value="0.000797" name="g_K_r_Centre" units="microS"/>
<variable initial_value="0.016" name="g_K_r_Periphery" units="microS"/>
<variable name="g_K_r" units="microS"/>
<variable name="P_a" units="dimensionless"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="P_af" private_interface="in" units="dimensionless"/>
<variable name="P_as" private_interface="in" units="dimensionless"/>
<variable name="P_i" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K_r</ci>
<apply>
<plus/>
<ci>g_K_r_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_K_r_Periphery</ci>
<ci>g_K_r_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_r</ci>
<apply>
<times/>
<ci>g_K_r</ci>
<ci>P_a</ci>
<ci>P_i</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>P_a</ci>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.6</cn>
<ci>P_af</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.4</cn>
<ci>P_as</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00155" name="rapid_delayed_rectifying_potassium_current_P_af_gate">
<variable initial_value="0.13034201158" name="P_af" public_interface="out" units="dimensionless"/>
<variable name="P_af_infinity" public_interface="out" units="dimensionless"/>
<variable name="tau_P_af" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_af</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_af_infinity</ci>
<ci>P_af</ci>
</apply>
<ci>tau_P_af</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_af_infinity</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">14.2</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_P_af</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">37.2</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15.9</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.96</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">22.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00156" name="rapid_delayed_rectifying_potassium_current_P_as_gate">
<variable initial_value="0.46960956028" name="P_as" public_interface="out" units="dimensionless"/>
<variable name="P_as_infinity" units="dimensionless"/>
<variable name="tau_P_as" units="second"/>
<variable name="P_af_infinity" public_interface="in" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_as</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_as_infinity</ci>
<ci>P_as</ci>
</apply>
<ci>tau_P_as</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_as_infinity</ci>
<ci>P_af_infinity</ci>
</apply>
<apply>
<eq/>
<ci>tau_P_as</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="second">1</cn>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4.2</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">17</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.15</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">21.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00157" name="rapid_delayed_rectifying_potassium_current_P_i_gate">
<variable initial_value="0.87993375273" name="P_i" public_interface="out" units="dimensionless"/>
<variable name="P_i_infinity" units="dimensionless"/>
<variable initial_value="0.002" name="tau_P_i" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>P_i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>P_i_infinity</ci>
<ci>P_i</ci>
</apply>
<ci>tau_P_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_i_infinity</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">18.6</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00158" name="slow_delayed_rectifying_potassium_current">
<variable cmeta:id="id_00160" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="slow_delayed_rectifying_potassium_current_i_K_s" name="i_K_s" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00161" initial_value="0.000518" name="g_K_s_Centre" units="microS"/>
<variable cmeta:id="id_00162" initial_value="0.0104" name="g_K_s_Periphery" units="microS"/>
<variable cmeta:id="id_00163" name="g_K_s" units="microS"/>
<variable cmeta:id="id_00164" name="E_K_s" public_interface="in" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="xs" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_K_s</ci>
<apply>
<plus/>
<ci>g_K_s_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_K_s_Periphery</ci>
<ci>g_K_s_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_s</ci>
<apply>
<times/>
<ci>g_K_s</ci>
<apply>
<power/>
<ci>xs</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K_s</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00159" name="slow_delayed_rectifying_potassium_current_xs_gate">
<variable initial_value="0.082293827208" name="xs" public_interface="out" units="dimensionless"/>
<variable name="alpha_xs" units="per_second"/>
<variable name="beta_xs" units="per_second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_xs</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>xs</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_xs</ci>
<ci>xs</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_xs</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">14</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">9</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_xs</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">45</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current">
<variable name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="hyperpolarisation_activated_current_i_f_Na" name="i_f_Na" public_interface="out" units="nanoA"/>
<variable cmeta:id="hyperpolarisation_activated_current_i_f_K" name="i_f_K" public_interface="out" units="nanoA"/>
<variable initial_value="0.000548" name="g_f_Na_Centre" units="microS"/>
<variable initial_value="0.0069" name="g_f_Na_Periphery" units="microS"/>
<variable name="g_f_Na" units="microS"/>
<variable initial_value="0.000548" name="g_f_K_Centre" units="microS"/>
<variable initial_value="0.0069" name="g_f_K_Periphery" units="microS"/>
<variable name="g_f_K" units="microS"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="E_Na" public_interface="in" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="y" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_f_Na</ci>
<apply>
<plus/>
<ci>g_f_Na_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_f_Na_Periphery</ci>
<ci>g_f_Na_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_Na</ci>
<apply>
<times/>
<ci>g_f_Na</ci>
<ci>y</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_f_K</ci>
<apply>
<plus/>
<ci>g_f_K_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_f_K_Periphery</ci>
<ci>g_f_K_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_f_K</ci>
<apply>
<times/>
<ci>g_f_K</ci>
<ci>y</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="hyperpolarisation_activated_current_y_gate">
<variable initial_value="0.03889291759" name="y" public_interface="out" units="dimensionless"/>
<variable name="alpha_y" units="per_second"/>
<variable name="beta_y" units="per_second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>y</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_y</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>y</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_y</ci>
<ci>y</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_y</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">78.91</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">26.62</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_y</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">75.13</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">21.25</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00025" name="sodium_background_current">
<variable name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="sodium_background_current_i_b_Na" name="i_b_Na" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00026" initial_value="5.8e-5" name="g_b_Na_Centre" units="microS"/>
<variable cmeta:id="id_00027" initial_value="0.000189" name="g_b_Na_Periphery" units="microS"/>
<variable cmeta:id="id_00028" name="g_b_Na" units="microS"/>
<variable cmeta:id="id_00029" name="E_Na" public_interface="in" units="millivolt"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_b_Na</ci>
<apply>
<plus/>
<ci>g_b_Na_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_b_Na_Periphery</ci>
<ci>g_b_Na_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<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>
</math>
</component>
<component cmeta:id="id_00138" name="potassium_background_current">
<variable cmeta:id="id_00139" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="potassium_background_current_i_b_K" name="i_b_K" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00140" initial_value="2.52e-5" name="g_b_K_Centre" units="microS"/>
<variable cmeta:id="id_00141" initial_value="8.19e-5" name="g_b_K_Periphery" units="microS"/>
<variable cmeta:id="id_00142" name="g_b_K" units="microS"/>
<variable cmeta:id="id_00143" name="E_K" public_interface="in" units="millivolt"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_b_K</ci>
<apply>
<plus/>
<ci>g_b_K_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_b_K_Periphery</ci>
<ci>g_b_K_Centre</ci>
</apply>
</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>
</math>
</component>
<component cmeta:id="id_00076" name="calcium_background_current">
<variable cmeta:id="id_00077" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="calcium_background_current_i_b_Ca" name="i_b_Ca" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00078" initial_value="1.32e-5" name="g_b_Ca_Centre" units="microS"/>
<variable cmeta:id="id_00079" initial_value="4.3e-5" name="g_b_Ca_Periphery" units="microS"/>
<variable cmeta:id="id_00080" name="g_b_Ca" units="microS"/>
<variable cmeta:id="id_00081" name="E_Ca" public_interface="in" units="millivolt"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>g_b_Ca</ci>
<apply>
<plus/>
<ci>g_b_Ca_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>g_b_Ca_Periphery</ci>
<ci>g_b_Ca_Centre</ci>
</apply>
</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>
</math>
</component>
<component cmeta:id="id_00144" name="sodium_calcium_exchanger">
<variable cmeta:id="id_00145" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="sodium_calcium_exchanger_i_NaCa" name="i_NaCa" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00149" initial_value="2.7e-6" name="k_NaCa_Centre" units="nanoA"/>
<variable cmeta:id="id_00148" initial_value="8.8e-6" name="k_NaCa_Periphery" units="nanoA"/>
<variable cmeta:id="id_00147" name="k_NaCa" units="nanoA"/>
<variable cmeta:id="id_00146" initial_value="0.0001" name="d_NaCa" units="dimensionless"/>
<variable initial_value="0.5" name="gamma_NaCa" units="dimensionless"/>
<variable name="Na_i" public_interface="in" units="millimolar"/>
<variable name="Na_o" public_interface="in" units="millimolar"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="Ca_o" public_interface="in" units="millimolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>k_NaCa</ci>
<apply>
<plus/>
<ci>k_NaCa_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>k_NaCa_Periphery</ci>
<ci>k_NaCa_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<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 xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.03743</cn>
<ci>V</ci>
<ci>gamma_NaCa</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0374</cn>
<ci>V</ci>
<apply>
<minus/>
<ci>gamma_NaCa</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" 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>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<power/>
<ci>Na_i</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00150" name="sodium_potassium_pump">
<variable cmeta:id="id_00151" name="FCell" public_interface="in" units="dimensionless"/>
<variable cmeta:id="sodium_potassium_pump_i_p" name="i_p" public_interface="out" units="nanoA"/>
<variable cmeta:id="id_00152" initial_value="5.64" name="K_m_Na" units="millimolar"/>
<variable initial_value="0.621" name="K_m_K" units="millimolar"/>
<variable initial_value="0.0478" name="i_p_max_Centre" units="nanoA"/>
<variable initial_value="0.16" name="i_p_max_Periphery" units="nanoA"/>
<variable name="i_p_max" units="nanoA"/>
<variable name="Na_i" public_interface="in" units="millimolar"/>
<variable name="K_o" public_interface="in" units="millimolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_p_max</ci>
<apply>
<plus/>
<ci>i_p_max_Centre</ci>
<apply>
<times/>
<ci>FCell</ci>
<apply>
<minus/>
<ci>i_p_max_Periphery</ci>
<ci>i_p_max_Centre</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_p</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_p_max</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Na_i</ci>
<apply>
<plus/>
<ci>K_m_Na</ci>
<ci>Na_i</ci>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<ci>K_o</ci>
<apply>
<plus/>
<ci>K_m_K</ci>
<ci>K_o</ci>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.6</cn>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">60</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="id_00152" name="ionic_concentrations">
<variable initial_value="8" name="Na_i" public_interface="out" units="millimolar"/>
<variable initial_value="140" name="Na_o" public_interface="out" units="millimolar"/>
<variable initial_value="0.0001" name="Ca_i" public_interface="out" units="millimolar"/>
<variable initial_value="2" name="Ca_o" public_interface="out" units="millimolar"/>
<variable initial_value="140" name="K_i" public_interface="out" units="millimolar"/>
<variable initial_value="5.4" name="K_o" public_interface="out" units="millimolar"/>
</component>
<component cmeta:id="id_00031" name="reversal_and_equilibrium_potentials">
<variable cmeta:id="id_00030" name="E_Na" public_interface="out" units="millivolt"/>
<variable name="E_K" public_interface="out" units="millivolt"/>
<variable name="E_K_s" public_interface="out" units="millivolt"/>
<variable cmeta:id="id_00082" name="E_Ca" public_interface="out" units="millivolt"/>
<variable name="K_o" public_interface="in" units="millimolar"/>
<variable name="Na_o" public_interface="in" units="millimolar"/>
<variable name="K_i" public_interface="in" units="millimolar"/>
<variable name="Na_i" public_interface="in" units="millimolar"/>
<variable name="Ca_o" public_interface="in" units="millimolar"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="millijoule_per_mole_kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="T" public_interface="in" units="kelvin"/>
<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_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Ca_o</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_K_s</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/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.12</cn>
<ci>Na_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>K_i</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.12</cn>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="sustained_inward_current" name="sustained_inward_current">
<variable name="i_st" public_interface="out" units="nanoA"/>
<variable initial_value="0.00214" name="g_st" units="microS"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="d_s" private_interface="in" units="dimensionless"/>
<variable name="f_s" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="i_st_calculation">
<eq/>
<ci> i_st </ci>
<apply>
<times/>
<ci> g_st </ci>
<ci> d_s </ci>
<ci> f_s </ci>
<apply>
<minus/>
<ci> V </ci>
<cn cellml:units="millivolt"> 18.0 </cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sustained_inward_current_d_gate">
<variable initial_value="0.230" name="d_s" public_interface="out" units="dimensionless"/>
<variable name="alpha_d_s" units="per_second"/>
<variable name="beta_d_s" units="per_second"/>
<variable name="d_s_infinity" units="dimensionless"/>
<variable name="tau_d_s" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="d_s_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> d_s </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> d_s_infinity </ci>
<ci> d_s </ci>
</apply>
<ci> tau_d_s </ci>
</apply>
</apply>
<apply id="alpha_d_s_calculation">
<eq/>
<ci> alpha_d_s </ci>
<apply>
<divide/>
<cn cellml:units="per_second"> 1000.0 </cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.15 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> 11.0 </cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.2 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> 700.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_d_s_calculation">
<eq/>
<ci> beta_d_s </ci>
<apply>
<divide/>
<cn cellml:units="per_second"> 1000.0 </cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 16.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<ci> V </ci>
<cn cellml:units="millivolt"> 8.0 </cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.2 </cn>
<apply>
<exp/>
<apply>
<divide/>
<ci> V </ci>
<cn cellml:units="millivolt"> 50.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_d_s_calculation">
<eq/>
<ci> tau_d_s </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<ci> alpha_d_s </ci>
<ci> beta_d_s </ci>
</apply>
</apply>
</apply>
<apply id="d_s_infinity_calculation">
<eq/>
<ci> d_s_infinity </ci>
<apply>
<divide/>
<ci> alpha_d_s </ci>
<apply>
<plus/>
<ci> alpha_d_s </ci>
<ci> beta_d_s </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sustained_inward_current_f_gate">
<variable initial_value="0.283" name="f_s" public_interface="out" units="dimensionless"/>
<variable name="alpha_f_s" units="per_second"/>
<variable name="beta_f_s" units="per_second"/>
<variable name="f_s_infinity" units="dimensionless"/>
<variable name="tau_f_s" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="f_s_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> f_s </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> f_s_infinity </ci>
<ci> f_s </ci>
</apply>
<ci> tau_f_s </ci>
</apply>
</apply>
<apply id="alpha_f_s_calculation">
<eq/>
<ci> alpha_f_s </ci>
<apply>
<divide/>
<cn cellml:units="per_second"> 1000.0 </cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 3100.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> 13.0 </cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 700.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci> V </ci>
</apply>
<cn cellml:units="millivolt"> 70.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="beta_f_s_calculation">
<eq/>
<ci> beta_f_s </ci>
<apply>
<divide/>
<cn cellml:units="per_second"> 1000.0 </cn>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 16.0 </cn>
<apply>
<exp/>
<apply>
<divide/>
<ci> V </ci>
<cn cellml:units="millivolt"> 8.0 </cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.2 </cn>
<apply>
<exp/>
<apply>
<divide/>
<ci> V </ci>
<cn cellml:units="millivolt"> 50.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="tau_f_s_calculation">
<eq/>
<ci> tau_f_s </ci>
<apply>
<divide/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<ci> alpha_f_s </ci>
<ci> beta_f_s </ci>
</apply>
</apply>
</apply>
<apply id="f_s_infinity_calculation">
<eq/>
<ci> f_s_infinity </ci>
<apply>
<divide/>
<ci> alpha_f_s </ci>
<apply>
<plus/>
<ci> alpha_f_s </ci>
<ci> beta_f_s </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="intracellular_calcium_handling" name="intracellular_calcium_handling">
<variable name="i_Ca_P" public_interface="out" units="nanoA"/>
<variable name="U_d" units="dimensionless"/>
<variable name="U_s" units="dimensionless"/>
<variable initial_value="0.24" name="i_Ca_P_max" units="nanoA"/>
<variable name="J_Ca_ds" units="millimole_per_second"/>
<variable name="J_Ca_r" units="millimole_per_second"/>
<variable name="J_Ca_P" units="millimole_per_second"/>
<variable initial_value="0.00000000096" name="J_Ca_P_max" units="millimole_per_second"/>
<variable name="J_Ca_u" units="millimole_per_second"/>
<variable initial_value="0.00000000096" name="J_Ca_u_max" units="millimole_per_second"/>
<variable name="J_Ca_ur" units="millimole_per_second"/>
<variable name="J_Ca_1" units="millimole_per_second"/>
<variable initial_value="0.001544" name="Ca_d" units="millimolar"/>
<variable initial_value="0.05487" name="Ca_s" units="millimolar"/>
<variable initial_value="6.983" name="Ca_u" units="millimolar"/>
<variable initial_value="4.909" name="Ca_r" units="millimolar"/>
<variable initial_value="0.4" name="B_d" units="millimolar"/>
<variable initial_value="0.2" name="B_s" units="millimolar"/>
<variable name="Vol_u" units="litre"/>
<variable name="Vol_r" units="litre"/>
<variable name="Vol_d" units="litre"/>
<variable name="Vol_s" units="litre"/>
<variable initial_value="8.0e-12" name="Vol_c" units="litre"/>
<variable initial_value="0.002" name="K_m_b" units="millimolar"/>
<variable initial_value="0.001" name="K_m_r" units="millimolar"/>
<variable initial_value="0.005" name="K_m_u" units="millimolar"/>
<variable initial_value="0.1" name="f_d" units="dimensionless"/>
<variable initial_value="0.3" name="f_r" units="dimensionless"/>
<variable initial_value="0.06" name="f_u" units="dimensionless"/>
<variable initial_value="3300.0" name="alpha_ds" units="per_second"/>
<variable initial_value="6670.0" name="alpha_fR" units="per_second_millimolar"/>
<variable initial_value="0.172" name="alpha_1" units="per_second"/>
<variable initial_value="333.5" name="alpha_r" units="per_second"/>
<variable initial_value="533.6" name="alpha_ur" units="per_second"/>
<variable initial_value="2.0" name="beta_fR" units="per_second"/>
<variable initial_value="0.188" name="f_R" units="dimensionless"/>
<variable name="i_Ca" units="nanoA"/>
<variable name="i_Ca_L" public_interface="in" units="nanoA"/>
<variable name="i_Ca_T" public_interface="in" units="nanoA"/>
<variable name="i_NaCa" public_interface="in" units="nanoA"/>
<variable name="i_b_Ca" public_interface="in" units="nanoA"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="U_d_calculation">
<eq/>
<ci> U_d </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<ci> B_d </ci>
<apply>
<plus/>
<ci> K_m_b </ci>
<ci> Ca_d </ci>
<ci> B_d </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="J_Ca_ds_calculation">
<eq/>
<ci> J_Ca_ds </ci>
<apply>
<times/>
<ci> alpha_ds </ci>
<ci> Vol_d </ci>
<apply>
<minus/>
<ci> Ca_d </ci>
<ci> Ca_s </ci>
</apply>
</apply>
</apply>
<apply id="i_Ca_P_calculation">
<eq/>
<ci> i_Ca_P </ci>
<apply>
<times/>
<ci> i_Ca_P_max </ci>
<apply>
<divide/>
<ci> Ca_s </ci>
<apply>
<plus/>
<ci> Ca_s </ci>
<cn cellml:units="millimolar"> 0.0004 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="J_Ca_r_calculation">
<eq/>
<ci> J_Ca_r </ci>
<apply>
<times/>
<ci> alpha_r </ci>
<ci> f_R </ci>
<apply>
<divide/>
<apply>
<power/>
<ci> Ca_d </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci> K_m_r </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_d </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
<ci> Vol_r </ci>
<ci> Ca_r </ci>
</apply>
</apply>
<apply id="f_R_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> f_R </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci> alpha_fR </ci>
</apply>
<ci> Ca_d </ci>
<ci> f_R </ci>
</apply>
<apply>
<times/>
<ci> beta_fR </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> f_R </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="U_s_calculation">
<eq/>
<ci> U_s </ci>
<apply>
<minus/>
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<ci> B_s </ci>
<apply>
<plus/>
<ci> K_m_b </ci>
<ci> Ca_s </ci>
<ci> B_s </ci>
</apply>
</apply>
</apply>
</apply>
<apply id="J_Ca_P_calculation">
<eq/>
<ci> J_Ca_P </ci>
<apply>
<times/>
<ci> J_Ca_P_max </ci>
<apply>
<divide/>
<ci> Ca_s </ci>
<apply>
<plus/>
<ci> Ca_s </ci>
<cn cellml:units="millimolar"> 0.0004 </cn>
</apply>
</apply>
</apply>
</apply>
<apply id="J_Ca_u_calculation">
<eq/>
<ci> J_Ca_u </ci>
<apply>
<times/>
<ci> J_Ca_u_max </ci>
<apply>
<divide/>
<apply>
<power/>
<ci> Ca_s </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci> K_m_u </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply>
<power/>
<ci> Ca_s </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="J_Ca_ur_calculation">
<eq/>
<ci> J_Ca_ur </ci>
<apply>
<times/>
<ci> alpha_ur </ci>
<ci> Vol_u </ci>
<apply>
<minus/>
<ci> Ca_u </ci>
<ci> Ca_r </ci>
</apply>
</apply>
</apply>
<apply id="J_Ca_1_calculation">
<eq/>
<ci> J_Ca_1 </ci>
<apply>
<times/>
<ci> alpha_1 </ci>
<ci> Vol_u </ci>
<ci> Ca_u </ci>
</apply>
</apply>
<apply id="i_Ca_calculation">
<eq/>
<ci> i_Ca </ci>
<apply>
<plus/>
<ci> i_Ca_L </ci>
<ci> i_Ca_T </ci>
</apply>
</apply>
<apply id="Ca_d_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_d </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> U_d </ci>
<ci> Vol_d </ci>
</apply>
<apply>
<minus/>
<ci> J_Ca_ds </ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.95 </cn>
<ci> i_Ca </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="Ca_s_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_s </ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<ci> U_s </ci>
<ci> Vol_s </ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci> J_Ca_ds </ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless"> 0.05 </cn>
<ci> i_Ca </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> i_NaCa </ci>
</apply>
</apply>
<ci> i_b_Ca </ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> F </ci>
</apply>
</apply>
<ci> J_Ca_u </ci>
</apply>
</apply>
<ci> J_Ca_r </ci>
<ci> J_Ca_1 </ci>
</apply>
</apply>
</apply>
<apply id="Ca_u_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_u </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> J_Ca_u </ci>
<apply>
<plus/>
<ci> J_Ca_1 </ci>
<ci> J_Ca_ur </ci>
</apply>
</apply>
<ci> Vol_u </ci>
</apply>
</apply>
<apply id="Ca_r_diff_eq">
<eq/>
<apply>
<diff/>
<bvar>
<ci> time </ci>
</bvar>
<ci> Ca_r </ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci> J_Ca_ur </ci>
<ci> J_Ca_r </ci>
</apply>
<ci> Vol_r </ci>
</apply>
</apply>
<apply id="Vol_u_calculation">
<eq/>
<ci> Vol_u </ci>
<apply>
<times/>
<ci> f_u </ci>
<ci> Vol_c </ci>
</apply>
</apply>
<apply id="Vol_r_calculation">
<eq/>
<ci> Vol_r </ci>
<apply>
<times/>
<ci> f_r </ci>
<ci> Vol_c </ci>
</apply>
</apply>
<apply id="Vol_d_calculation">
<eq/>
<ci> Vol_d </ci>
<apply>
<times/>
<ci> f_d </ci>
<ci> Vol_c </ci>
</apply>
</apply>
<apply id="Vol_s_calculation">
<eq/>
<ci> Vol_s </ci>
<apply>
<minus/>
<ci> Vol_c </ci>
<apply>
<plus/>
<ci> Vol_u </ci>
<ci> Vol_d </ci>
</apply>
</apply>
</apply>
</math>
</component>
<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="four_AP_sensitive_currents">
<component_ref component="four_AP_sensitive_currents_q_gate"/>
<component_ref component="four_AP_sensitive_currents_r_gate"/>
</component_ref>
<component_ref component="rapid_delayed_rectifying_potassium_current">
<component_ref component="rapid_delayed_rectifying_potassium_current_P_af_gate"/>
<component_ref component="rapid_delayed_rectifying_potassium_current_P_as_gate"/>
<component_ref component="rapid_delayed_rectifying_potassium_current_P_i_gate"/>
</component_ref>
<component_ref component="slow_delayed_rectifying_potassium_current">
<component_ref component="slow_delayed_rectifying_potassium_current_xs_gate"/>
</component_ref>
<component_ref component="hyperpolarisation_activated_current">
<component_ref component="hyperpolarisation_activated_current_y_gate"/>
</component_ref>
<component_ref component="sustained_inward_current">
<component_ref component="sustained_inward_current_d_gate"/>
<component_ref component="sustained_inward_current_f_gate"/>
</component_ref>
</group>
<connection>
<map_components component_1="membrane" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="four_AP_sensitive_currents" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="rapid_delayed_rectifying_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="slow_delayed_rectifying_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="hyperpolarisation_activated_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sustained_inward_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_handling" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="L_type_Ca_channel"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="T_type_Ca_channel"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="four_AP_sensitive_currents"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_to" variable_2="i_to"/>
<map_variables variable_1="i_sus" variable_2="i_sus"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="rapid_delayed_rectifying_potassium_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_K_r" variable_2="i_K_r"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="slow_delayed_rectifying_potassium_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_K_s" variable_2="i_K_s"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="hyperpolarisation_activated_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_f_Na" variable_2="i_f_Na"/>
<map_variables variable_1="i_f_K" variable_2="i_f_K"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_background_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_b_Na" variable_2="i_b_Na"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="potassium_background_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_b_K" variable_2="i_b_K"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="calcium_background_current"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_b_Ca" variable_2="i_b_Ca"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_calcium_exchanger"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sodium_potassium_pump"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="i_p" variable_2="i_p"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="sustained_inward_current"/>
<map_variables variable_1="i_st" variable_2="i_st"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="reversal_and_equilibrium_potentials"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="intracellular_calcium_handling"/>
<map_variables variable_1="i_Ca_P" variable_2="i_Ca_P"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_handling" component_2="calcium_background_current"/>
<map_variables variable_1="i_b_Ca" variable_2="i_b_Ca"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_handling" component_2="L_type_Ca_channel"/>
<map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_handling" component_2="T_type_Ca_channel"/>
<map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_handling" component_2="sodium_calcium_exchanger"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="sodium_current"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="ionic_concentrations" component_2="sodium_current"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="four_AP_sensitive_currents"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="rapid_delayed_rectifying_potassium_current"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="slow_delayed_rectifying_potassium_current"/>
<map_variables variable_1="E_K_s" variable_2="E_K_s"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="hyperpolarisation_activated_current"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="sodium_background_current"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="potassium_background_current"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="calcium_background_current"/>
<map_variables variable_1="E_Ca" variable_2="E_Ca"/>
</connection>
<connection>
<map_components component_1="sodium_calcium_exchanger" component_2="ionic_concentrations"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
</connection>
<connection>
<map_components component_1="sodium_potassium_pump" component_2="ionic_concentrations"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="K_o" variable_2="K_o"/>
</connection>
<connection>
<map_components component_1="reversal_and_equilibrium_potentials" component_2="ionic_concentrations"/>
<map_variables variable_1="K_o" variable_2="K_o"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
<map_variables variable_1="K_i" variable_2="K_i"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
</connection>
<connection>
<map_components component_1="sodium_current" component_2="sodium_current_m_gate"/>
<map_variables variable_1="m" variable_2="m"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="sodium_current" component_2="sodium_current_h_gate"/>
<map_variables variable_1="h" variable_2="h"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_d_gate"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="d_L" variable_2="d_L"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_gate"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="f_L" variable_2="f_L"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_d_gate"/>
<map_variables variable_1="d_T" variable_2="d_T"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_f_gate"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="f_T" variable_2="f_T"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="four_AP_sensitive_currents" component_2="four_AP_sensitive_currents_q_gate"/>
<map_variables variable_1="FCell" variable_2="FCell"/>
<map_variables variable_1="q" variable_2="q"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="four_AP_sensitive_currents" component_2="four_AP_sensitive_currents_r_gate"/>
<map_variables variable_1="r" variable_2="r"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="rapid_delayed_rectifying_potassium_current" component_2="rapid_delayed_rectifying_potassium_current_P_af_gate"/>
<map_variables variable_1="P_af" variable_2="P_af"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="rapid_delayed_rectifying_potassium_current" component_2="rapid_delayed_rectifying_potassium_current_P_as_gate"/>
<map_variables variable_1="P_as" variable_2="P_as"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="rapid_delayed_rectifying_potassium_current_P_af_gate" component_2="rapid_delayed_rectifying_potassium_current_P_as_gate"/>
<map_variables variable_1="P_af_infinity" variable_2="P_af_infinity"/>
</connection>
<connection>
<map_components component_1="rapid_delayed_rectifying_potassium_current" component_2="rapid_delayed_rectifying_potassium_current_P_i_gate"/>
<map_variables variable_1="P_i" variable_2="P_i"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="slow_delayed_rectifying_potassium_current" component_2="slow_delayed_rectifying_potassium_current_xs_gate"/>
<map_variables variable_1="xs" variable_2="xs"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="hyperpolarisation_activated_current" component_2="hyperpolarisation_activated_current_y_gate"/>
<map_variables variable_1="y" variable_2="y"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="sustained_inward_current" component_2="sustained_inward_current_d_gate"/>
<map_variables variable_1="d_s" variable_2="d_s"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="sustained_inward_current" component_2="sustained_inward_current_f_gate"/>
<map_variables variable_1="f_s" variable_2="f_s"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<rdf:RDF><rdf:Description rdf:about="rdf:#b29b9a3e-6e5c-42a3-adb2-d15a76420329"><rdf:value xml:lang="en">
The sodium current was originally thought to be absent in SA node
cells and consequently, most of the earlier models of the SA node
action potential do not include i_Na. However, more recent
experimental results show that i_Na is present and that it is
physiologically important. The sodium channel has one activation
gate m and one inactivation gate which has two components, a fast and
a slow inactivation variable; h1 and h2.
</rdf:value></rdf:Description><rdf:Description rdf:about="#hyperpolarisation_activated_current"><cmeta:comment><rdf:Description rdf:about="rdf:#f40d5b6c-163f-43d0-abdd-040a53da1c1d"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="rdf:#f40d5b6c-163f-43d0-abdd-040a53da1c1d"><rdf:value xml:lang="en">
i_f is a mixed current composed of both Na+ and K+ ions. In the
equation to describe i_f, Zhang et al included i_f_Na and i_f_K as
separate components and they also included a single activation
variable y.
</rdf:value></rdf:Description><rdf:Description rdf:about="#L_type_Ca_channel"><cmeta:comment><rdf:Description rdf:about="rdf:#02e18c1c-6f5c-41e7-8cd4-2f6009b2c81d"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="rdf:#02e18c1c-6f5c-41e7-8cd4-2f6009b2c81d"><rdf:value xml:lang="en">
The L-type calcium channel has two gates, an activation gate d_L and
an inactivation gate f_L.
</rdf:value></rdf:Description><rdf:Description rdf:about="#ionic_concentrations"><cmeta:comment><rdf:Description rdf:about="rdf:#ea0d6d02-19ae-45c4-ae35-0074de6868ac"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="rdf:#ea0d6d02-19ae-45c4-ae35-0074de6868ac"><rdf:value xml:lang="en">
Other SA node models have included computation of concentrations of
intracellular Na+ and Ca2+. In this model, Zhang et al have assumed
that all ion concentrations remain constant.
</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#e7982718-8191-4340-9f32-3395a0f1d925"><rdf:value xml:lang="en">
The slow sigmoidal activation of i_K_s is modelled by squaring the
gating variable xs. The i_K_s channel is also slightly permeable to
Na+ ions.
</rdf:value></rdf:Description><rdf:Description rdf:about="#sodium_current"><cmeta:comment><rdf:Description rdf:about="rdf:#b29b9a3e-6e5c-42a3-adb2-d15a76420329"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="#four_AP_sensitive_currents"><cmeta:comment><rdf:Description rdf:about="rdf:#49f80294-f412-4475-a5b3-b74fdfe6b32a"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="rdf:#49f80294-f412-4475-a5b3-b74fdfe6b32a"><rdf:value xml:lang="en">
i_to and i_sus are respectively the transient and sustained
components of the 4-Aminopyridine-sensitive current. The current has
an activation variable r and and inactivation variable q.
</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#e022a12b-fcc4-435a-90f4-0e3a090eb803"><rdf:value xml:lang="en">
The potassium cuurent in rabbit SA node cells can be divided into two
kinetically different components, a fast cuurent i_K_r and a slow
current i_K_s. Activation and inactivation of i_K_r has
double-exponential time courses. To model this, Zhang et al have
used two activation variables; a fast one (P_a_f) and a slow one
(P_a_s). There is a single inactivation variable P_i.
</rdf:value></rdf:Description><rdf:Description rdf:about="#T_type_Ca_channel"><cmeta:comment><rdf:Description rdf:about="rdf:#a2bd07db-7119-4bc1-ac1c-32835c71483c"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="rdf:#a2bd07db-7119-4bc1-ac1c-32835c71483c"><rdf:value xml:lang="en">
The T-type calcium channel has two gates, an activation gate d_T and
an inactivation gate f_T.
</rdf:value></rdf:Description><rdf:Description rdf:about="#slow_delayed_rectifying_potassium_current"><cmeta:comment><rdf:Description rdf:about="rdf:#e7982718-8191-4340-9f32-3395a0f1d925"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="#rapid_delayed_rectifying_potassium_current"><cmeta:comment><rdf:Description rdf:about="rdf:#e022a12b-fcc4-435a-90f4-0e3a090eb803"/></cmeta:comment></rdf:Description><rdf:Description rdf:about="#id_00001"><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0060075"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0030322"/></isVersionOf><isVersionOf xmlns="http://biomodels.net/biology-qualifiers/"><rdf:Description rdf:about="http://identifiers.org/go/GO:0042391"/></isVersionOf></rdf:Description><rdf:Description rdf:about="#id_00002"><isVersionOf 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