- Author:
- Hanne <Hanne@hanne-nielsens-macbook.local>
- Date:
- 2010-04-29 12:21:37+12:00
- Desc:
- Remade session file, integrated clickable svg
- Permanent Source URI:
- https://models.cellml.org/workspace/hilgemann_noble_1987/rawfile/54d33d539f4c3b50cf88082ff232f8e70ef8bbce/hilgemann_noble_1987.cellml
<?xml version="1.0"?>
<!--
This CellML file was generated on 19/09/2007 at 14:06:50 using:
COR (0.9.31.769)
Copyright 2002-2007 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk
CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xml:base="" cmeta:id="hilgemann_noble_1987" name="hilgemann_noble_1987">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Hilemann-Noble Atrial Cell Model 1987</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 model has been curated by Penny Noble of Oxford University and is known to run in PCEnv and COR and reproduce the results published in the paper it is based on.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
In 1987, D.W. Hilemann and D. Noble published a mathematical model of the atrial action potential. This built upon the Di Francesco-Noble 1985 model and attempted to correct its main deficiency by considering intracellular calcium buffering. Although their model was directed towards atrial cells, it also provided a basis for modelling ventricular cells in species (rat, mouse) with short ventricular action potentials. This model (see the figure below) addressed a number of important questions concerning calcium balance.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
Excitation-contraction coupling and extracellular calcium transients in rabbit atrium: reconstruction of the basic cellular mechanisms, Hilemann, D.W. and Noble, D. 1987,<emphasis>Proc. R. Soc. Lond.</emphasis>, B230, 163-205. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=2884668&dopt=Abstract">PubMed ID: 2884668</ulink>
</para>
<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>cell diagram of the Hilemann-Noble model showing ionic currents across the sarcolemma</title>
</objectinfo>
<imagedata fileref="hilgemann_noble_1987.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram describing the current flows across the cell membrane that are captured in the Hilemann-Noble model.</caption>
</informalfigure>
<informalfigure float="0" id="fig_cellml_rendering">
<mediaobject>
<imageobject>
<objectinfo>
<title>the cellml rendering of the Hilemann-Noble model</title>
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<imagedata fileref="cellml_rendering.gif"/>
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</mediaobject>
<caption>The network defined in the CellML description of the Hilemann-Noble model. A key describing the significance of the shapes of the components and the colours of the connections between them is in the <ulink url="${HTML_EXMPL_GRAPHICAL_NOTATION}">notation guide</ulink>. For simplicity, not all the variables are shown.</caption>
</informalfigure>
<para>
The membrane physically contains the currents, pumps and exchangers as indicated by the blue arrows in <xref linkend="fig_cellml_rendering"/>. The currents act independently and are not connected to each other. Several of the channels encapsulate <emphasis>and</emphasis> contain further components which represent activation and inactivation gates. The addition of an encapsulation relationship informs modellers and processing software that the gates are important parts of the current model. It also prevents any other components that aren't also encapsulated by the parent component from connecting to its gates, effectively hiding them from the rest of the model.
</para>
<para>
The breakdown of the model into components and the definition of encapsulation and containment relationships between them is somewhat arbitrary. When considering how a model should be broken into components, modellers are encouraged to consider which parts of a model might be re-used and how the physiological elements of the system being modelled are naturally bounded. Containment relationships should be used to provide simple rendering information for processing software (ideally, this will correspond to the layout of the physical system), and encapsulation should be used to group sets of components into sub-models.
</para>
</sect1>
</article>
</documentation>
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<minus/>
<ci>n_NaCa</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
<apply>
<power/>
<ci>Na_o</ci>
<ci>n_NaCa</ci>
</apply>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn 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>
<ci>n_NaCa</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<power/>
<ci>Na_i</ci>
<ci>n_NaCa</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Ca_i</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0069</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="potassium_background_current">
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="i_b_K" public_interface="out" units="nanoA"/>
<variable initial_value="0.17" name="g_b_K" units="microS"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<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 name="time_independent_potassium_current">
<variable cmeta:id="time_independent_potassium_current_i_K1" name="i_K1" public_interface="out" units="nanoA"/>
<variable name="E_K" public_interface="out" units="millivolt"/>
<variable initial_value="1.7" name="g_K1" units="microS"/>
<variable initial_value="10" name="K_m_K1" units="millimolar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="RTONF" public_interface="in" units="millivolt"/>
<variable name="K_c" public_interface="in" units="millimolar"/>
<variable name="K_i" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_K</ci>
<apply>
<times/>
<ci>RTONF</ci>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_c</ci>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K1</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>g_K1</ci>
<ci>K_c</ci>
</apply>
<apply>
<plus/>
<ci>K_c</ci>
<ci>K_m_K1</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="second_inward_calcium_current">
<variable name="i_si" public_interface="out" units="nanoA"/>
<variable name="i_siCa" public_interface="out" units="nanoA"/>
<variable name="i_siK" public_interface="out" units="nanoA"/>
<variable name="i_siNa" public_interface="out" units="nanoA"/>
<variable initial_value="5" name="P_si" units="nanoA_per_millimolar"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ca_i" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="RTONF" public_interface="in" units="millivolt"/>
<variable name="Na_i" public_interface="in" units="millimolar"/>
<variable name="Na_o" public_interface="in" units="millimolar"/>
<variable name="Ca_o" public_interface="in" units="millimolar"/>
<variable name="K_i" public_interface="in" units="millimolar"/>
<variable name="K_c" public_interface="in" units="millimolar"/>
<variable name="d" private_interface="in" units="dimensionless"/>
<variable name="f_Ca" private_interface="in" units="dimensionless"/>
<variable name="CaChon" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_si</ci>
<apply>
<plus/>
<ci>i_siCa</ci>
<ci>i_siK</ci>
<ci>i_siNa</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_siCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
<ci>P_si</ci>
<ci>d</ci>
<ci>CaChon</ci>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">100</cn>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Ca_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_siK</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.002</cn>
<ci>P_si</ci>
<ci>d</ci>
<ci>CaChon</ci>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>K_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_c</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_siNa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.01</cn>
<ci>P_si</ci>
<ci>d</ci>
<ci>CaChon</ci>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>Na_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Na_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
<ci>RTONF</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="second_inward_calcium_current_d_gate">
<variable initial_value="0.0011" name="d" public_interface="out" units="dimensionless"/>
<variable name="alpha_d" units="per_second"/>
<variable name="beta_d" units="per_second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<variable initial_value="0.0001" name="delta_d" units="millivolt"/>
<variable name="E0_d" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_d</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">24</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_d</ci>
<piecewise>
<piece>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">120</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_d</ci>
</apply>
<ci>delta_d</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">30</cn>
<ci>E0_d</ci>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<ci>E0_d</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_d</ci>
<piecewise>
<piece>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">120</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_d</ci>
</apply>
<ci>delta_d</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">12</cn>
<ci>E0_d</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_d</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_d</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>d</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_d</ci>
<ci>d</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="second_inward_calcium_current_f_Ca_gate">
<variable initial_value="0.785" name="f_Ca" public_interface="out" units="dimensionless"/>
<variable name="alpha_f_Ca" units="per_second"/>
<variable name="beta_f_Ca" units="per_second"/>
<variable name="CaChoff" units="dimensionless"/>
<variable name="CaChon" public_interface="out" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable initial_value="0.0001" name="delta_f" units="millivolt"/>
<variable name="E0_f" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E0_f</ci>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">34</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_f_Ca</ci>
<piecewise>
<piece>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">25</cn>
<apply>
<lt/>
<apply>
<abs/>
<ci>E0_f</ci>
</apply>
<ci>delta_f</ci>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_second">6.25</cn>
<ci>E0_f</ci>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>E0_f</ci>
<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>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_f_Ca</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">12</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>E0_f</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_Ca</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">120</cn>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>f_Ca</ci>
</apply>
<ci>CaChoff</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>f_Ca</ci>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>CaChoff</ci>
</apply>
</apply>
</apply>
<ci>beta_f_Ca</ci>
</apply>
<apply>
<times/>
<ci>alpha_f_Ca</ci>
<ci>f_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CaChoff</ci>
<apply>
<divide/>
<ci>Ca_i</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.001</cn>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CaChon</ci>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>f_Ca</ci>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>CaChoff</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sarcoplasmic_reticulum_calcium_pump">
<variable name="i_up" public_interface="out" units="millimolar_per_second"/>
<variable name="K_1" units="dimensionless"/>
<variable name="K_2" units="millimolar"/>
<variable initial_value="0.0003" name="K_cyca" units="millimolar"/>
<variable initial_value="0.4" name="K_xcs" units="dimensionless"/>
<variable initial_value="0.5" name="K_srca" units="millimolar"/>
<variable initial_value="3" name="alpha_up" units="millimolar_per_second"/>
<variable initial_value="0.23" name="beta_up" units="millimolar_per_second"/>
<variable name="Ca_up" public_interface="in" units="millimolar"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>K_cyca</ci>
<ci>K_xcs</ci>
</apply>
<ci>K_srca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_2</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<apply>
<times/>
<ci>Ca_up</ci>
<ci>K_1</ci>
</apply>
<apply>
<times/>
<ci>K_cyca</ci>
<ci>K_xcs</ci>
</apply>
<ci>K_cyca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_up</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<ci>Ca_i</ci>
<ci>K_2</ci>
</apply>
<ci>alpha_up</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_up</ci>
<ci>K_1</ci>
</apply>
<ci>K_2</ci>
</apply>
<ci>beta_up</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_release">
<variable cmeta:id="calcium_release_i_rel" name="i_rel" public_interface="out" units="millimolar_per_second"/>
<variable name="VoltDep" units="dimensionless"/>
<variable name="RegBindSite" units="dimensionless"/>
<variable name="ActRate" units="per_second"/>
<variable name="InactRate" units="per_second"/>
<variable initial_value="0" name="K_leak_rate" units="per_second"/>
<variable initial_value="250" name="K_m_rel" units="per_second"/>
<variable name="PrecFrac" units="dimensionless"/>
<variable initial_value="0" name="ActFrac" units="dimensionless"/>
<variable initial_value="0" name="ProdFrac" units="dimensionless"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="Ca_rel" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>PrecFrac</ci>
<apply>
<minus/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>ActFrac</ci>
</apply>
<ci>ProdFrac</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>VoltDep</ci>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.08</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>RegBindSite</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_i</ci>
<apply>
<plus/>
<ci>Ca_i</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0005</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>ActRate</ci>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">600</cn>
<ci>VoltDep</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">500</cn>
<ci>RegBindSite</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>InactRate</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">60</cn>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">500</cn>
<ci>RegBindSite</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ActFrac</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>PrecFrac</ci>
<ci>ActRate</ci>
</apply>
<apply>
<times/>
<ci>ActFrac</ci>
<ci>InactRate</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ProdFrac</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>ActFrac</ci>
<ci>InactRate</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_second">0.6</cn>
<ci>ProdFrac</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_rel</ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<divide/>
<ci>ActFrac</ci>
<apply>
<plus/>
<ci>ActFrac</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.25</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>K_m_rel</ci>
</apply>
<ci>K_leak_rate</ci>
</apply>
<ci>Ca_rel</ci>
</apply>
</apply>
</math>
</component>
<component name="calcium_translocation">
<variable cmeta:id="calcium_translocation_i_trans" name="i_trans" public_interface="out" units="millimolar_per_second"/>
<variable name="Ca_rel" public_interface="in" units="millimolar"/>
<variable name="Ca_up" public_interface="in" units="millimolar"/>
<variable initial_value="50" name="alpha_tr" units="per_second"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_trans</ci>
<apply>
<times/>
<apply>
<minus/>
<ci>Ca_up</ci>
<ci>Ca_rel</ci>
</apply>
<ci>alpha_tr</ci>
</apply>
</apply>
</math>
</component>
<component name="extracellular_sodium_concentration">
<variable initial_value="140" name="Na_o" public_interface="out" units="millimolar"/>
</component>
<component name="intracellular_sodium_concentration">
<variable initial_value="6.5" name="Na_i" public_interface="out" units="millimolar"/>
<variable name="V_i" public_interface="in" units="micrometre3"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="i_Na" public_interface="in" units="nanoA"/>
<variable name="i_b_Na" public_interface="in" units="nanoA"/>
<variable name="i_siNa" public_interface="in" units="nanoA"/>
<variable name="i_NaK" public_interface="in" units="nanoA"/>
<variable name="i_NaCa" public_interface="in" units="nanoA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_b_Na</ci>
<apply>
<times/>
<ci>i_NaK</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaCa</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>i_siNa</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="extracellular_calcium_concentration">
<variable initial_value="2" name="Ca_o" public_interface="out" units="millimolar"/>
<variable name="i_NaCa" public_interface="in" units="nanoA"/>
<variable initial_value="2" name="Cab" units="millimolar"/>
<variable initial_value="0.0005" name="K_diff" units="per_second"/>
<variable name="Ve" public_interface="in" units="micrometre3"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="i_siCa" public_interface="in" units="nanoA"/>
<variable name="i_b_Ca" public_interface="in" units="nanoA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_o</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<ci>Cab</ci>
<ci>Ca_o</ci>
</apply>
<ci>K_diff</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
<apply>
<plus/>
<ci>i_siCa</ci>
<ci>i_NaCa</ci>
<ci>i_b_Ca</ci>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
<ci>Ve</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="extracellular_potassium_concentration">
<variable initial_value="4" name="K_c" public_interface="out" units="millimolar"/>
</component>
<component name="intracellular_potassium_concentration">
<variable initial_value="140" name="K_i" public_interface="out" units="millimolar"/>
<variable name="V_i" public_interface="in" units="micrometre3"/>
<variable name="i_K1" public_interface="in" units="nanoA"/>
<variable name="i_siK" public_interface="in" units="nanoA"/>
<variable name="i_b_K" public_interface="in" units="nanoA"/>
<variable name="i_NaK" 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>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_K1</ci>
<ci>i_siK</ci>
<ci>i_b_K</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>i_NaK</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="intracellular_calcium_concentration">
<variable cmeta:id="intracellular_calcium_concentration_Ca_i" initial_value="1e-5" name="Ca_i" public_interface="out" units="millimolar"/>
<variable initial_value="0.3" name="Ca_up" public_interface="out" units="millimolar"/>
<variable initial_value="0.3" name="Ca_rel" public_interface="out" units="millimolar"/>
<variable initial_value="0.0005" name="Ca_Calmod" units="millimolar"/>
<variable initial_value="0.0015" name="Ca_Trop" units="millimolar"/>
<variable initial_value="0.02" name="Calmod" units="millimolar"/>
<variable initial_value="0.15" name="Trop" units="millimolar"/>
<variable initial_value="100000" name="alpha_Calmod" units="per_millimolar_second"/>
<variable initial_value="50" name="beta_Calmod" units="per_second"/>
<variable initial_value="100000" name="alpha_Trop" units="per_millimolar_second"/>
<variable initial_value="200" name="beta_Trop" units="per_second"/>
<variable initial_value="0.08" name="radius" units="micrometre"/>
<variable initial_value="0.08" name="length" units="micrometre"/>
<variable name="V_i" public_interface="out" units="micrometre3"/>
<variable name="Ve" public_interface="out" units="micrometre3"/>
<variable name="V_Cell" units="micrometre3"/>
<variable name="V_i_ratio" units="dimensionless"/>
<variable initial_value="0.1" name="V_rel_ratio" units="dimensionless"/>
<variable initial_value="0.4" name="V_e_ratio" units="dimensionless"/>
<variable initial_value="0.01" name="V_up_ratio" units="dimensionless"/>
<variable name="i_up" public_interface="in" units="millimolar_per_second"/>
<variable name="i_trans" public_interface="in" units="millimolar_per_second"/>
<variable name="i_rel" public_interface="in" units="millimolar_per_second"/>
<variable name="i_NaCa" public_interface="in" units="nanoA"/>
<variable name="i_siCa" public_interface="in" units="nanoA"/>
<variable name="i_b_Ca" public_interface="in" units="nanoA"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_Cell</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3.141592654</cn>
<apply>
<power/>
<ci>radius</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>length</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_i_ratio</ci>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>V_e_ratio</ci>
</apply>
<ci>V_up_ratio</ci>
</apply>
<ci>V_rel_ratio</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_i</ci>
<apply>
<times/>
<ci>V_Cell</ci>
<ci>V_i_ratio</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ve</ci>
<apply>
<times/>
<ci>V_Cell</ci>
<ci>V_e_ratio</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="mA_nA">1</cn>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="litre_micrometre3">1</cn>
<ci>V_i</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_siCa</ci>
<ci>i_b_Ca</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>i_NaCa</ci>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>i_rel</ci>
<ci>V_rel_ratio</ci>
</apply>
<ci>V_i_ratio</ci>
</apply>
</apply>
<ci>dCaCalmoddt</ci>
</apply>
<ci>dCaTropdt</ci>
</apply>
<ci>i_up</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_up</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<ci>V_i_ratio</ci>
<ci>V_up_ratio</ci>
</apply>
<ci>i_up</ci>
</apply>
<ci>i_trans</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_rel</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<apply>
<divide/>
<ci>V_up_ratio</ci>
<ci>V_rel_ratio</ci>
</apply>
<ci>i_trans</ci>
</apply>
<ci>i_rel</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Calmod</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Calmod</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>Calmod</ci>
<ci>Ca_Calmod</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Calmod</ci>
<ci>Ca_Calmod</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_Trop</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Trop</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>Trop</ci>
<ci>Ca_Trop</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Trop</ci>
<ci>Ca_Trop</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dCaCalmoddt</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Calmod</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>Calmod</ci>
<ci>Ca_Calmod</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Calmod</ci>
<ci>Ca_Calmod</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dCaTropdt</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Trop</ci>
<ci>Ca_i</ci>
<apply>
<minus/>
<ci>Trop</ci>
<ci>Ca_Trop</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Trop</ci>
<ci>Ca_Trop</ci>
</apply>
</apply>
</apply>
</math>
<variable name="dCaCalmoddt" units="millimolar_per_second"/>
<variable name="dCaTropdt" units="millimolar_per_second"/>
</component>
<group>
<relationship_ref relationship="containment"/>
<component_ref component="membrane">
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
</component_ref>
<component_ref component="sodium_potassium_pump"/>
<component_ref component="sodium_background_current"/>
<component_ref component="calcium_background_current"/>
<component_ref component="potassium_background_current"/>
<component_ref component="Na_Ca_exchanger"/>
<component_ref component="time_independent_potassium_current"/>
<component_ref component="second_inward_calcium_current">
<component_ref component="second_inward_calcium_current_d_gate"/>
<component_ref component="second_inward_calcium_current_f_Ca_gate"/>
</component_ref>
<component_ref component="sarcoplasmic_reticulum_calcium_pump"/>
<component_ref component="intracellular_calcium_concentration"/>
<component_ref component="calcium_release"/>
<component_ref component="calcium_translocation"/>
<component_ref component="extracellular_calcium_concentration"/>
<component_ref component="intracellular_sodium_concentration"/>
<component_ref component="extracellular_sodium_concentration"/>
<component_ref component="intracellular_potassium_concentration"/>
<component_ref component="extracellular_potassium_concentration"/>
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate"/>
<component_ref component="fast_sodium_current_h_gate"/>
</component_ref>
<component_ref component="second_inward_calcium_current">
<component_ref component="second_inward_calcium_current_d_gate"/>
<component_ref component="second_inward_calcium_current_f_Ca_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="fast_sodium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_potassium_pump" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sodium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="potassium_background_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Na_Ca_exchanger" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="time_independent_potassium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="second_inward_calcium_current" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="sarcoplasmic_reticulum_calcium_pump" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_release" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="calcium_translocation" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="extracellular_calcium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_calcium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_sodium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_potassium_concentration" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
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<map_variables variable_1="Ca_rel" variable_2="Ca_rel"/>
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<connection>
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<connection>
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<connection>
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<connection>
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<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="V" variable_2="V"/>
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<connection>
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<connection>
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<vCard:FN xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">James Lawson</vCard:FN>
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<rdf:value>Added stimulus protocol to allow simulation of trains of action potentials.</rdf:value>
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<rdf:value>This version was created by Penny Noble of Oxford University and is known to run in both COR and PCEnv. The integration problems experienced with Version 03 are fixed in this version. A predefined operator diff error produced by PCEnv in the component intracellular_calcium_concentration of Penny Noble's version was fixed by James Lawson on 19/04/07. Due to the small stimulus duration, for this model to produce a train of action potentials, the max step size must be set at 0.001 or below and the number of points per graph must be over 10k.</rdf:value>
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