- Author:
- Mathieu Deneux <mathieu.deneux@gmail.com>
- Date:
- 2016-07-29 11:59:40+12:00
- Desc:
- Added SEDML file
- Permanent Source URI:
- https://models.cellml.org/workspace/362/rawfile/794b3900e6b2a6f52346dcd312cf6e63c0a50cc2/aslanidi_2009.cellml
<?xml version="1.0"?>
<model xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" name="aslanidi_2009" cmeta:id="aslanidi_2009" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Optimal velocity and safety of discontinuous conduction through the heterogeneous Purkinje-ventricular junction
</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 CellML model runs in both COR and PCEnv to reproduce the published results. The CellML model has been based on both the published paper and the original C Code the model was written in. Our thanks go to the authors Oleg and Philip for their help in curating the CellML model and getting it to reproduce their original results.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: Slow and discontinuous wave conduction through non-uniform junctions in cardiac tissues is generally considered unsafe and pro-arrythmogenic. However, the relationships between tissue structure, wave conduction velocity and safety at such junctions are unknown. We develop a structurally and electrophysiologically detailed model of the canine Purkinje-ventricular junction (PVJ) and vary its heterogeneity parameters in order to determine such relationships. We show that neither very fast nor very slow conduction is safe, and there exists an optimal velocity providing the maximum safety factor of conduction through the junction. The resultant conduction time delay across the PVJ is a natural consequence of the electrophysiological and morphological differences between the Purkinje fibre and ventricular tissue. The delay allows the PVJ to accumulate and pass sufficient charge to excite the adjacent ventricular tissue, but is not long enough for the source-to-load mismatch at the junction to be enhanced over time. The observed relationships between the conduction velocity and safety factor can provide new insights into optimal conditions for wave propagation through non-uniform junctions between various cardiac tissues.
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="aslanidi_2009.png"/>
</imageobject>
</mediaobject>
<caption>Schematic diagram of the cell model.</caption>
</informalfigure>
<para>
The original paper reference is cited below:
</para>
<para>
Optimal velocity and safety of discontinuous conduction through the heterogeneous Purkinje-ventricular junction, Oleg V. Aslanidi, Philip Stewart, Mark R. Boyett and Henggui Zhang, 2009, <emphasis>Biophysical Journal</emphasis>, volume 97, 20-39. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&cmd=Retrieve&dopt=AbstractPlus&list_uids=19580741&query_hl=1&itool=pubmed_docsum">PubMed ID: 19580741</ulink>
</para>
</sect1>
</article>
</documentation>
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<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">sodium-chloride cotransporter</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
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<rdf:Description rdf:about="#background_currents">
<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">background_currents</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">background currents</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/0P/PP-rdf-syntax-ns#">
<rdf:Description rdf:about="#intracellular_ion_concentrations">
<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">intracellular_ion_concentrations</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">intracellular ion concentrations</dcterms:alternative>
</rdf:Description>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Ca_i</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">intracellular calcium concentration</dcterms:alternative>
</rdf:Description>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Ca_MK_act</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">calcium-calmodulin-dependent protein kinase</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Ca_NSR</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">calcium concentration in the non-juctional sarcoplasmic reticulum</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
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<rdf:Description rdf:about="#Ca_JSR">
<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Ca_JSR</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">calcium concentration in the juctional sarcoplasmic reticulum</dcterms:alternative>
</rdf:Description>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">Ca_r</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">restricted space calcium concentration</dcterms:alternative>
</rdf:Description>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">q_leak</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">sarcoplasmic reticulum calcium leak flux</dcterms:alternative>
</rdf:Description>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">q_up</dc:title>
<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">sarcoplasmic reticulum calcium uptake flux</dcterms:alternative>
</rdf:Description>
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<dcterms:alternative xmlns:dcterms="http://purl.org/dc/terms/">sarcoplasmic reticulum calcium transfer flux</dcterms:alternative>
</rdf:Description>
</rdf:RDF> <units name="millisecond">
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</units>
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<unit exponent="-1" units="millisecond"/>
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<unit prefix="micro" units="ampere"/>
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<units name="joule_per_kilomole_kelvin">
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<units name="microF_per_cm2">
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</component>
<component name="membrane">
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<variable name="i_stim" units="microA_per_microF"/>
<variable name="i_tot" units="microA_per_microF"/>
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<variable name="i_Na" public_interface="in" units="microA_per_microF"/>
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<variable name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ca_T" public_interface="in" units="microA_per_microF"/>
<variable name="i_to_1" public_interface="in" units="microA_per_microF"/>
<variable name="i_to_2" public_interface="in" units="microA_per_microF"/>
<variable name="i_Kr" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ks" public_interface="in" units="microA_per_microF"/>
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<variable name="i_NaCa" public_interface="in" units="microA_per_microF"/>
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<variable initial_value="1" name="stim_end" units="millisecond"/>
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<variable name="Na_i" public_interface="in" units="millimolar"/>
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<variable name="Ca_i" public_interface="in" units="millimolar"/>
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<ci>R</ci>
</apply>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cl_o</ci>
<ci>Cl_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>E_Ks</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<apply>
<plus/>
<ci>K_o</ci>
<apply>
<times/>
<ci>r_NaK</ci>
<ci>Na_o</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>K_i</ci>
<apply>
<times/>
<ci>r_NaK</ci>
<ci>Na_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Na">
<variable cmeta:id="i_Na_i_Na" name="i_Na" public_interface="out" units="microA_per_microF"/>
<variable initial_value="8" name="g_Na" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_Na" public_interface="in" units="millivolt"/>
<variable name="m" private_interface="in" units="dimensionless"/>
<variable name="h" private_interface="in" units="dimensionless"/>
<variable name="j" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Na</ci>
<apply>
<times/>
<ci>g_Na</ci>
<apply>
<power/>
<ci>m</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.8</cn>
<ci>h</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.2</cn>
<ci>j</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Na_m_gate">
<variable initial_value="0.002003390432234504" name="m" public_interface="out" units="dimensionless"/>
<variable name="tau_m" units="millisecond"/>
<variable name="m_infinity" units="dimensionless"/>
<variable name="alpha_m" units="per_millisecond"/>
<variable name="beta_m" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_m</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_millisecond">0.32</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">47.13</cn>
</apply>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">47.13</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.08</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">11</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>m_infinity</ci>
<apply>
<divide/>
<ci>alpha_m</ci>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_m</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_m</ci>
<ci>beta_m</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>m_infinity</ci>
<ci>m</ci>
</apply>
<ci>tau_m</ci>
</apply>
</apply>
</math>
</component>
<component name="i_Na_h_gate">
<variable initial_value="0.9786390933308567" name="h" public_interface="out" units="dimensionless"/>
<variable name="tau_h" units="millisecond"/>
<variable name="h_infinity" units="dimensionless"/>
<variable name="alpha_h" units="per_millisecond"/>
<variable name="beta_h" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_h</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.135</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">80</cn>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.8</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_h</ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">3.56</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.079</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">310000</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.35</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<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#" cellml:units="millisecond">0.13</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">10.66</cn>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">11.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>h_infinity</ci>
<apply>
<divide/>
<ci>alpha_h</ci>
<apply>
<plus/>
<ci>alpha_h</ci>
<ci>beta_h</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_h</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_h</ci>
<ci>beta_h</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>h_infinity</ci>
<ci>h</ci>
</apply>
<ci>tau_h</ci>
</apply>
</apply>
</math>
</component>
<component name="i_Na_j_gate">
<variable initial_value="0.09866447258167589" name="j" public_interface="out" units="dimensionless"/>
<variable name="tau_j" units="millisecond"/>
<variable name="j_infinity" units="dimensionless"/>
<variable name="alpha_j" units="per_millisecond"/>
<variable name="beta_j" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_j</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_millisecond">127140</cn>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.2444</cn>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_millisecond">0.00003474</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.04391</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">37.78</cn>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.311</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">79.23</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>beta_j</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.1212</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.01052</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1378</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40.14</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<lt/>
<ci>V</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.3</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000002535</cn>
</apply>
<ci>V</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">32</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>j_infinity</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
<ci>alpha_j</ci>
</apply>
<apply>
<plus/>
<ci>alpha_j</ci>
<ci>beta_j</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_j</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
<apply>
<plus/>
<ci>alpha_j</ci>
<ci>beta_j</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>j</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>j_infinity</ci>
<ci>j</ci>
</apply>
<ci>tau_j</ci>
</apply>
</apply>
</math>
</component>
<component name="i_Na_L">
<variable cmeta:id="i_Na_L_i_Na_L" name="i_Na_L" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.037375" name="g_Na_L" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_Na" public_interface="in" units="millivolt"/>
<variable name="m_L" private_interface="in" units="dimensionless"/>
<variable name="h_L" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Na_L</ci>
<apply>
<times/>
<ci>g_Na_L</ci>
<apply>
<power/>
<ci>m_L</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>h_L</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Na_L_m_L_gate">
<variable initial_value="0.002003390432234504" name="m_L" public_interface="out" units="dimensionless"/>
<variable name="tau_m_L" units="millisecond"/>
<variable name="m_L_infinity" units="dimensionless"/>
<variable name="alpha_m_L" units="per_millisecond"/>
<variable name="beta_m_L" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_m_L</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt_millisecond">0.32</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">47.13</cn>
</apply>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.1</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">47.13</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_m_L</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.08</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">11</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>m_L_infinity</ci>
<apply>
<divide/>
<ci>alpha_m_L</ci>
<apply>
<plus/>
<ci>alpha_m_L</ci>
<ci>beta_m_L</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_m_L</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_m_L</ci>
<ci>beta_m_L</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m_L</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>m_L_infinity</ci>
<ci>m_L</ci>
</apply>
<ci>tau_m_L</ci>
</apply>
</apply>
</math>
</component>
<component name="i_Na_L_h_L_gate">
<variable initial_value="0.8946968372659203" name="h_L" public_interface="out" units="dimensionless"/>
<variable name="tau_h_L" units="millisecond"/>
<variable name="h_L_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>h_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">69</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_h_L</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">175</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">125</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">25</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>h_L</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>h_L_infinity</ci>
<ci>h_L</ci>
</apply>
<ci>tau_h_L</ci>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_L">
<variable cmeta:id="i_Ca_L_i_Ca_L" name="i_Ca_L" private_interface="out" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.3392328" name="g_Ca_L" public_interface="out" units="dimensionless"/>
<variable name="i_Ca_L_max" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.000243" name="p_Ca" units="cm_per_second"/>
<variable name="z_Ca" public_interface="in" units="dimensionless"/>
<variable name="gamma_Cai" public_interface="in" units="dimensionless"/>
<variable name="gamma_Cao" public_interface="in" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="Ca_r" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="Ca_MK_act" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="km_Ca_MK" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="Ca_o" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="d" private_interface="in" units="dimensionless"/>
<variable name="f" private_interface="in" units="dimensionless"/>
<variable name="f2" private_interface="in" units="dimensionless"/>
<variable name="f_Ca" private_interface="in" units="dimensionless"/>
<variable name="f_Ca2" private_interface="in" units="dimensionless"/>
<variable name="Cm" public_interface="in" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_L</ci>
<apply>
<times/>
<ci>g_Ca_L</ci>
<ci>d</ci>
<ci>f</ci>
<ci>f2</ci>
<ci>f_Ca</ci>
<ci>f_Ca2</ci>
<ci>i_Ca_L_max</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_L_max</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>p_Ca</ci>
</apply>
<ci>Cm</ci>
</apply>
<apply>
<power/>
<ci>z_Ca</ci>
<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">15</cn>
</apply>
<apply>
<power/>
<ci>F</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Cai</ci>
<ci>Ca_r</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Ca</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Cao</ci>
<ci>Ca_o</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Ca</ci>
<ci>F</ci>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_L_d_gate">
<variable initial_value="0.000002322223865147363" name="d" public_interface="out" units="dimensionless"/>
<variable name="d_infinity" units="dimensionless"/>
<variable name="tau_d" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>d</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>d_infinity</ci>
<ci>d</ci>
</apply>
<ci>tau_d</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>d_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">4</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.74</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_d</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">0.59</cn>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">0.8</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.052</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.132</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_L_f_gate">
<variable initial_value="0.9985607329462358" name="f" public_interface="out" units="dimensionless"/>
<variable name="f_infinity" units="dimensionless"/>
<variable name="tau_f" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_infinity</ci>
<ci>f</ci>
</apply>
<ci>tau_f</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_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</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">4</cn>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond_per_millivolt2">0.005</cn>
<apply>
<power/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">2.5</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_L_f2_gate">
<variable initial_value="0.8173435436674658" name="f2" public_interface="out" units="dimensionless"/>
<variable name="f2_infinity" units="dimensionless"/>
<variable name="tau_f2" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f2_infinity</ci>
<ci>f2</ci>
</apply>
<ci>tau_f2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f2_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</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f2</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">38</cn>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond_per_millivolt2">0.07</cn>
<apply>
<power/>
<apply>
<minus/>
<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="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_L_f_Ca_gate">
<variable initial_value="0.9610551285529658" name="f_Ca" public_interface="out" units="dimensionless"/>
<variable name="f_Ca_infinity" units="dimensionless"/>
<variable name="tau_f_Ca" units="millisecond"/>
<variable name="Ca_r" public_interface="in" units="millimolar"/>
<variable name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable name="Ca_MK_act" public_interface="in" units="dimensionless"/>
<variable name="km_Ca_MK" public_interface="in" units="millimolar"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_Ca</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_Ca_infinity</ci>
<ci>f_Ca</ci>
</apply>
<ci>tau_f_Ca</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_Ca_infinity</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.3</cn>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>i_Ca_L</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">0.05</cn>
</apply>
</apply>
</apply>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.55</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Ca_r</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.003</cn>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.15</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_Ca</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">0.5</cn>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">10</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
<ci>Ca_MK_act</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
<ci>Ca_MK_act</ci>
</apply>
<ci>km_Ca_MK</ci>
</apply>
</apply>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">1</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Ca_r</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.003</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_L_f_Ca2_gate">
<variable initial_value="0.868690796671854" name="f_Ca2" public_interface="out" units="dimensionless"/>
<variable name="f_Ca2_infinity" units="dimensionless"/>
<variable name="tau_f_Ca2" units="millisecond"/>
<variable name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>f_Ca2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>f_Ca2_infinity</ci>
<ci>f_Ca2</ci>
</apply>
<ci>tau_f_Ca2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>f_Ca2_infinity</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>i_Ca_L</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">0.01</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_f_Ca2</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">125</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">300</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>i_Ca_L</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">0.175</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">0.04</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_T">
<variable cmeta:id="i_Ca_T_i_Ca_T" name="i_Ca_T" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.13" name="g_Ca_T" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="b" private_interface="in" units="dimensionless"/>
<variable name="g" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_T</ci>
<apply>
<times/>
<ci>g_Ca_T</ci>
<ci>b</ci>
<ci>g</ci>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">50</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_T_b_gate">
<variable initial_value="0.0002563937630984438" name="b" public_interface="out" units="dimensionless"/>
<variable name="tau_b" units="millisecond"/>
<variable name="b_infinity" units="dimensionless"/>
<variable name="alpha_b" units="per_millisecond"/>
<variable name="beta_b" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_b</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">1.068</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">16.3</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_b</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">1.068</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">16.3</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>b_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">33</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_b</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_b</ci>
<ci>beta_b</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>b</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>b_infinity</ci>
<ci>b</ci>
</apply>
<ci>tau_b</ci>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_T_g_gate">
<variable initial_value="0.9720432601848331" name="g" public_interface="out" units="dimensionless"/>
<variable name="tau_g" units="millisecond"/>
<variable name="g_infinity" units="dimensionless"/>
<variable name="alpha_g" units="per_millisecond"/>
<variable name="beta_g" units="per_millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_g</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.015</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_g</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.015</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">15.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_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">60</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">6.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_g</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_g</ci>
<ci>beta_g</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>g</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>g_infinity</ci>
<ci>g</ci>
</apply>
<ci>tau_g</ci>
</apply>
</apply>
</math>
</component>
<component name="i_to_1">
<variable cmeta:id="i_to_1_i_to_1" name="i_to_1" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.14135944" name="g_to_1" units="milliS_per_microF"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="a" private_interface="in" units="dimensionless"/>
<variable name="i" private_interface="in" units="dimensionless"/>
<variable name="i2" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_to_1</ci>
<apply>
<times/>
<ci>g_to_1</ci>
<ci>a</ci>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.8</cn>
<ci>i</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.2</cn>
<ci>i2</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_to_1_a_gate">
<variable initial_value="0.0004238729429342389" name="a" public_interface="out" units="dimensionless"/>
<variable name="alpha_a" units="per_millisecond"/>
<variable name="beta_a" units="per_millisecond"/>
<variable name="tau_a" units="millisecond"/>
<variable name="a_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>a</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>a_infinity</ci>
<ci>a</ci>
</apply>
<ci>tau_a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_a</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">25</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">76</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">76</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_a</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">25</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">54</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
<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">54</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_a</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<ci>alpha_a</ci>
<ci>beta_a</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a_infinity</ci>
<apply>
<divide/>
<ci>alpha_a</ci>
<apply>
<plus/>
<ci>alpha_a</ci>
<ci>beta_a</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_to_1_i_gate">
<variable initial_value="0.9990935802459496" name="i" public_interface="out" units="dimensionless"/>
<variable name="alpha_i" units="per_millisecond"/>
<variable name="beta_i" units="per_millisecond"/>
<variable name="tau_i" units="millisecond"/>
<variable name="i_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>i</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>i_infinity</ci>
<ci>i</ci>
</apply>
<ci>tau_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_i</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.03</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">25</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_i</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">40</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_i</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">6</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">5</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>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">16.5</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_infinity</ci>
<apply>
<divide/>
<ci>alpha_i</ci>
<apply>
<plus/>
<ci>alpha_i</ci>
<ci>beta_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_to_1_i2_gate">
<variable initial_value="0.9777368439681764" name="i2" public_interface="out" units="dimensionless"/>
<variable name="alpha_i2" units="per_millisecond"/>
<variable name="beta_i2" units="per_millisecond"/>
<variable name="tau_i2" units="millisecond"/>
<variable name="i2_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>i2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>i2_infinity</ci>
<ci>i2</ci>
</apply>
<ci>tau_i2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_i2</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.00442</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">26</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">15</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_i2</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">0.05</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<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="millivolt">15</cn>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V</ci>
<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="millivolt">15</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_i2</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">21.5</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">30</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>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">25</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">10</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i2_infinity</ci>
<apply>
<divide/>
<ci>alpha_i2</ci>
<apply>
<plus/>
<ci>alpha_i2</ci>
<ci>beta_i2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Kr">
<variable cmeta:id="i_Kr_i_Kr" name="i_Kr" public_interface="out" units="microA_per_microF"/>
<variable name="g_Kr" units="milliS_per_microF"/>
<variable name="rr_infinity" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="K_o" public_interface="in" units="millimolar"/>
<variable name="xr" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kr</ci>
<apply>
<times/>
<ci>g_Kr</ci>
<ci>xr</ci>
<ci>rr_infinity</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_Kr</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="milliS_per_microF">0.040008488</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>K_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>rr_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/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.4</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">20.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Kr_xr_gate">
<variable initial_value="0.07084939408222911" name="xr" public_interface="out" units="dimensionless"/>
<variable name="tau_xr" units="millisecond"/>
<variable name="xr_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xr</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xr_infinity</ci>
<ci>xr</ci>
</apply>
<ci>tau_xr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xr</ci>
<apply>
<plus/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">900</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5</cn>
</apply>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">100</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>xr_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">0.085</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">12.25</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ks">
<variable cmeta:id="i_Ks_i_Ks" name="i_Ks" public_interface="out" units="microA_per_microF"/>
<variable name="g_Ks" units="milliS_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_Ks" public_interface="in" units="millivolt"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="xs1" private_interface="in" units="dimensionless"/>
<variable name="xs2" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ks</ci>
<apply>
<times/>
<ci>g_Ks</ci>
<ci>xs1</ci>
<ci>xs2</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Ks</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_Ks</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="milliS_per_microF">0.052581329</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.6</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.000038</cn>
<ci>Ca_i</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.4</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ks_xs1_gate">
<variable initial_value="0.0011737654433043125" name="xs1" public_interface="out" units="dimensionless"/>
<variable name="tau_xs1" units="millisecond"/>
<variable name="xs1_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs1</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs1_infinity</ci>
<ci>xs1</ci>
</apply>
<ci>tau_xs1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xs1</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">1</cn>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000761</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">44.6</cn>
</apply>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">9.97</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">44.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.00036</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.55</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.128</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.55</cn>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xs1_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">9</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ks_xs2_gate">
<variable initial_value="0.001179442867470093" name="xs2" public_interface="out" units="dimensionless"/>
<variable name="tau_xs2" units="millisecond"/>
<variable name="xs2_infinity" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>xs2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>xs2_infinity</ci>
<ci>xs2</ci>
</apply>
<ci>tau_xs2</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_xs2</ci>
<apply>
<divide/>
<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="millisecond">1</cn>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.0000761</cn>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">44.6</cn>
</apply>
</apply>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">9.97</cn>
</apply>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">44.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.00036</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.55</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.128</cn>
<apply>
<minus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">0.55</cn>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>xs2_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">9</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">13.7</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_K1">
<variable cmeta:id="i_K1_i_K1" name="i_K1" public_interface="out" units="microA_per_microF"/>
<variable name="g_K1" units="milliS_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="V" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="E_K" private_interface="out" public_interface="in" units="millivolt"/>
<variable name="K_o" public_interface="in" units="millimolar"/>
<variable name="xK1" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_K1</ci>
<apply>
<times/>
<apply>
<plus/>
<apply>
<times/>
<ci>g_K1</ci>
<ci>xK1</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="milliS_per_microF">0.004</cn>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_K1</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="milliS_per_microF">0.25</cn>
<apply>
<root/>
<apply>
<divide/>
<ci>K_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">5.4</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_K1_xK1_gate">
<variable name="xK1" public_interface="out" units="dimensionless"/>
<variable name="alpha_xK1" units="dimensionless"/>
<variable name="beta_xK1" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>xK1</ci>
<apply>
<divide/>
<ci>alpha_xK1</ci>
<apply>
<plus/>
<ci>alpha_xK1</ci>
<ci>beta_xK1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_xK1</ci>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.49124</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.08032</cn>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.476</cn>
</apply>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.06175</cn>
<apply>
<minus/>
<ci>V</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">594.31</cn>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.5143</cn>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>V</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">4.753</cn>
</apply>
<ci>E_K</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_xK1</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.02</cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millivolt">0.2385</cn>
<apply>
<minus/>
<ci>V</ci>
<apply>
<plus/>
<ci>E_K</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">59.215</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_K_p">
<variable cmeta:id="i_K_p_i_K_p" name="i_K_p" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.00276" name="g_K_p" units="milliS_per_microF"/>
<variable name="kp" units="dimensionless"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_K_p</ci>
<apply>
<times/>
<ci>g_K_p</ci>
<ci>kp</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>kp</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/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">7.488</cn>
<ci>V</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">5.98</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_to_2">
<variable cmeta:id="i_to_2_i_to_2" name="i_to_2" private_interface="out" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.0000004" name="p_Cl" units="cm_per_second"/>
<variable initial_value="-1" name="z_Cl" units="dimensionless"/>
<variable name="i_to_2_max" units="microA_per_microF"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="Ca_r" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="Cl_i" public_interface="in" units="millimolar"/>
<variable name="Cl_o" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="a" private_interface="in" units="dimensionless"/>
<variable name="Cm" public_interface="in" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_to_2</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">20</cn>
<ci>i_to_2_max</ci>
<ci>a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_to_2_max</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>p_Cl</ci>
</apply>
<ci>Cm</ci>
</apply>
<apply>
<power/>
<ci>z_Cl</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>Cl_i</ci>
<apply>
<times/>
<ci>Cl_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>z_Cl</ci>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</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/>
<ci>z_Cl</ci>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_to_2_a_gate">
<variable initial_value="0.0014909437525000811" name="a" public_interface="out" units="dimensionless"/>
<variable name="a_infinity" units="dimensionless"/>
<variable name="tau_a" units="millisecond"/>
<variable initial_value="0.1502" name="km_to_2" units="millimolar"/>
<variable name="Ca_r" public_interface="in" units="millimolar"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>a</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>a_infinity</ci>
<ci>a</ci>
</apply>
<ci>tau_a</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>a_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>
<divide/>
<ci>km_to_2</ci>
<ci>Ca_r</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_a</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">1</cn>
</apply>
</math>
</component>
<component name="i_NaCa">
<variable cmeta:id="i_NaCa_i_NaCa" name="i_NaCa" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.4" name="X_NaCa" units="dimensionless"/>
<variable initial_value="4.5" name="i_NaCa_max" units="microA_per_microF"/>
<variable initial_value="12.3" name="km_Na_i_1" units="millimolar"/>
<variable initial_value="87.5" name="km_Na_o" units="millimolar"/>
<variable initial_value="0.0036" name="km_Ca_i" units="millimolar"/>
<variable initial_value="1.3" name="km_Ca_o" units="millimolar"/>
<variable initial_value="0.000125" name="km_Ca_act" units="millimolar"/>
<variable initial_value="0.27" name="k_sat" units="dimensionless"/>
<variable name="dNaCa_1" units="millimolar4"/>
<variable name="dNaCa_2" units="millimolar4"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<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"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaCa</ci>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<times/>
<ci>X_NaCa</ci>
<ci>i_NaCa_max</ci>
<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>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.35</cn>
<ci>F</ci>
<ci>V</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">1.5</cn>
<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>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.65</cn>
</apply>
<ci>F</ci>
<ci>V</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>km_Ca_act</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
<ci>Ca_i</ci>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<times/>
<ci>k_sat</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.65</cn>
</apply>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>dNaCa_1</ci>
<ci>dNaCa_2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dNaCa_1</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>km_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>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
<apply>
<power/>
<ci>km_Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<ci>km_Na_i_1</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
</apply>
<ci>Ca_o</ci>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
<ci>Ca_i</ci>
</apply>
<ci>km_Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dNaCa_2</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>km_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>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>Na_i</ci>
<ci>km_Na_i_1</ci>
</apply>
</apply>
</apply>
<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>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.5</cn>
<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>
</apply>
</apply>
</math>
</component>
<component name="i_NaK">
<variable cmeta:id="i_NaK_i_NaK" name="i_NaK" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.61875" name="g_NaK" units="microA_per_microF"/>
<variable initial_value="10" name="km_Na_i_2" units="millimolar"/>
<variable initial_value="1.5" name="km_K_o" units="millimolar"/>
<variable name="f_NaK" units="dimensionless"/>
<variable name="sigma" units="dimensionless"/>
<variable name="K_o" public_interface="in" units="millimolar"/>
<variable name="Na_i" public_interface="in" units="millimolar"/>
<variable name="Na_o" public_interface="in" units="millimolar"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_NaK</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>g_NaK</ci>
<ci>f_NaK</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>km_Na_i_2</ci>
<ci>Na_i</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<ci>K_o</ci>
</apply>
<apply>
<plus/>
<ci>K_o</ci>
<ci>km_K_o</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>f_NaK</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>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1245</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.1</cn>
</apply>
<ci>F</ci>
<ci>V</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.0365</cn>
<ci>sigma</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>F</ci>
</apply>
<ci>V</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>sigma</ci>
<apply>
<times/>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">7</cn>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Na_o</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">67.3</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="i_Ca_p">
<variable cmeta:id="i_Ca_p_i_Ca_p" name="i_Ca_p" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.0575" name="i_Ca_p_max" units="microA_per_microF"/>
<variable initial_value="0.0005" name="km_Ca_p" units="millimolar"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Ca_p</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>i_Ca_p_max</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<plus/>
<ci>km_Ca_p</ci>
<ci>Ca_i</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="CT_K_Cl">
<variable cmeta:id="CT_K_Cl_CT_K_Cl" name="CT_K_Cl" public_interface="out" units="millimolar_per_millisecond"/>
<variable initial_value="7.0756e-6" name="CT_K_Cl_max" units="millimolar_per_millisecond"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="E_Cl" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>CT_K_Cl</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>CT_K_Cl_max</ci>
<apply>
<minus/>
<ci>E_K</ci>
<ci>E_Cl</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>E_K</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">87.8251</cn>
</apply>
<ci>E_Cl</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="CT_Na_Cl">
<variable cmeta:id="CT_Na_Cl_CT_Na_Cl" name="CT_Na_Cl" public_interface="out" units="millimolar_per_millisecond"/>
<variable initial_value="9.8443e-6" name="CT_Na_Cl_max" units="millimolar_per_millisecond"/>
<variable name="E_Na" public_interface="in" units="millivolt"/>
<variable name="E_Cl" public_interface="in" units="millivolt"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>CT_Na_Cl</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>CT_Na_Cl_max</ci>
<apply>
<power/>
<apply>
<minus/>
<ci>E_Na</ci>
<ci>E_Cl</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<apply>
<minus/>
<ci>E_Na</ci>
<ci>E_Cl</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
<apply>
<power/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millivolt">87.8251</cn>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="background_currents">
<variable cmeta:id="background_currents_i_Na_b" name="i_Na_b" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="background_currents_i_Ca_b" name="i_Ca_b" public_interface="out" units="microA_per_microF"/>
<variable name="i_K_b" public_interface="out" units="microA_per_microF"/>
<variable cmeta:id="background_currents_i_Cl_b" name="i_Cl_b" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.0025" name="g_Na_b" units="milliS_per_microF"/>
<variable initial_value="0.005" name="g_K_b" units="milliS_per_microF"/>
<variable initial_value="1.995084e-7" name="p_Ca_b" units="cm_per_second"/>
<variable initial_value="0.000225" name="g_Cl_b" units="milliS_per_microF"/>
<variable name="z_Ca" public_interface="in" units="dimensionless"/>
<variable name="gamma_Cai" public_interface="in" units="dimensionless"/>
<variable name="gamma_Cao" public_interface="in" units="dimensionless"/>
<variable name="E_K" public_interface="in" units="millivolt"/>
<variable name="E_Cl" public_interface="in" units="millivolt"/>
<variable name="E_Na" public_interface="in" units="millivolt"/>
<variable name="V" public_interface="in" units="millivolt"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="Ca_o" public_interface="in" units="millimolar"/>
<variable name="R" public_interface="in" units="joule_per_kilomole_kelvin"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="Cm" public_interface="in" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Na_b</ci>
<apply>
<times/>
<ci>g_Na_b</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Na</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_K_b</ci>
<apply>
<times/>
<ci>g_K_b</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_K</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Cl_b</ci>
<apply>
<times/>
<ci>g_Cl_b</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E_Cl</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_Ca_b</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>p_Ca_b</ci>
</apply>
<ci>Cm</ci>
</apply>
<apply>
<power/>
<ci>z_Ca</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
<ci>V</ci>
<apply>
<power/>
<ci>F</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>gamma_Cai</ci>
<ci>Ca_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Ca</ci>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>gamma_Cao</ci>
<ci>Ca_o</ci>
</apply>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>z_Ca</ci>
<ci>V</ci>
<ci>F</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
</apply>
</apply>
</math>
</component>
<component name="intracellular_ion_concentrations">
<variable initial_value="9.927155552932733" name="Na_i" public_interface="out" units="millimolar"/>
<variable initial_value="18.904682470140408" name="Cl_i" public_interface="out" units="millimolar"/>
<variable initial_value="141.9670801746057" name="K_i" public_interface="out" units="millimolar"/>
<variable name="Vol_myo" public_interface="in" units="microlitre"/>
<variable name="a_cap" public_interface="in" units="cm2"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="i_NaK" public_interface="in" units="microA_per_microF"/>
<variable name="i_NaCa" public_interface="in" units="microA_per_microF"/>
<variable name="i_Na_b" public_interface="in" units="microA_per_microF"/>
<variable name="i_Na" public_interface="in" units="microA_per_microF"/>
<variable name="i_Na_L" public_interface="in" units="microA_per_microF"/>
<variable name="i_K1" public_interface="in" units="microA_per_microF"/>
<variable name="i_to_1" public_interface="in" units="microA_per_microF"/>
<variable name="i_to_2" public_interface="in" units="microA_per_microF"/>
<variable name="i_Kr" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ks" public_interface="in" units="microA_per_microF"/>
<variable name="i_K_p" public_interface="in" units="microA_per_microF"/>
<variable name="i_K_b" public_interface="in" units="microA_per_microF"/>
<variable name="i_Cl_b" public_interface="in" units="microA_per_microF"/>
<variable name="CT_Na_Cl" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="CT_K_Cl" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="Cm" public_interface="in" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Na_i</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>Cm</ci>
</apply>
<apply>
<plus/>
<ci>i_Na</ci>
<ci>i_Na_L</ci>
<ci>i_Na_b</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
<ci>i_NaK</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">3</cn>
<ci>i_NaCa</ci>
</apply>
</apply>
<ci>a_cap</ci>
</apply>
<apply>
<times/>
<ci>Vol_myo</ci>
<ci>F</ci>
</apply>
</apply>
<ci>CT_Na_Cl</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>Cm</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_to_1</ci>
<ci>i_K1</ci>
<ci>i_Kr</ci>
<ci>i_Ks</ci>
<ci>i_K_p</ci>
<ci>i_K_b</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>
<ci>a_cap</ci>
</apply>
<apply>
<times/>
<ci>Vol_myo</ci>
<ci>F</ci>
</apply>
</apply>
<ci>CT_K_Cl</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cl_i</ci>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>Cm</ci>
</apply>
<apply>
<plus/>
<ci>i_to_2</ci>
<ci>i_Cl_b</ci>
</apply>
<ci>a_cap</ci>
</apply>
<apply>
<times/>
<ci>Vol_myo</ci>
<ci>F</ci>
</apply>
</apply>
<ci>CT_Na_Cl</ci>
<ci>CT_K_Cl</ci>
</apply>
</apply>
</math>
</component>
<component name="Ca_i">
<variable initial_value="0.00022355433459434943" name="Ca_i" public_interface="out" units="millimolar"/>
<variable initial_value="0.0005" name="km_TRPN" units="millimolar"/>
<variable initial_value="0.00238" name="km_CMDN" units="millimolar"/>
<variable initial_value="0.07" name="TRPN_max" units="millimolar"/>
<variable initial_value="0.05" name="CMDN_max" units="millimolar"/>
<variable name="TRPN" units="dimensionless"/>
<variable name="CMDN" units="dimensionless"/>
<variable name="b_myo" units="dimensionless"/>
<variable name="Vol_myo" public_interface="in" units="microlitre"/>
<variable name="Vol_nsr" public_interface="in" units="microlitre"/>
<variable name="Vol_ss" public_interface="in" units="microlitre"/>
<variable name="a_cap" public_interface="in" units="cm2"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="i_NaCa" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ca_b" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ca_p" public_interface="in" units="microA_per_microF"/>
<variable name="q_up" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="q_leak" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="q_diff" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="Cm" public_interface="in" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_i</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>b_myo</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>Cm</ci>
<apply>
<minus/>
<apply>
<plus/>
<ci>i_Ca_b</ci>
<ci>i_Ca_p</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>
<ci>a_cap</ci>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>Vol_myo</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>q_up</ci>
<ci>q_leak</ci>
</apply>
<ci>Vol_nsr</ci>
</apply>
<ci>Vol_myo</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>q_diff</ci>
<ci>Vol_ss</ci>
</apply>
<ci>Vol_myo</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>CMDN</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>CMDN_max</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>km_CMDN</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>TRPN</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>TRPN_max</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>km_TRPN</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>b_myo</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>
<ci>TRPN</ci>
<ci>CMDN</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca_MK_act">
<variable name="Ca_MK_act" public_interface="out" units="dimensionless"/>
<variable initial_value="0.15" name="km_Ca_MK" public_interface="out" units="millimolar"/>
<variable cmeta:id="Ca_MK_act_Ca_MK_trap" initial_value="0.000008789168284782809" name="Ca_MK_trap" units="dimensionless"/>
<variable name="Ca_MK_bound" units="dimensionless"/>
<variable initial_value="0.05" name="alpha_Ca_MK" units="per_millisecond"/>
<variable initial_value="0.00068" name="beta_Ca_MK" units="per_millisecond"/>
<variable initial_value="0.05" name="Ca_MK_0" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="Ca_r" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Ca_MK_act</ci>
<apply>
<plus/>
<ci>Ca_MK_bound</ci>
<ci>Ca_MK_trap</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_MK_trap</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>alpha_Ca_MK</ci>
<ci>Ca_MK_bound</ci>
<apply>
<plus/>
<ci>Ca_MK_bound</ci>
<ci>Ca_MK_trap</ci>
</apply>
</apply>
<apply>
<times/>
<ci>beta_Ca_MK</ci>
<ci>Ca_MK_trap</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_MK_bound</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>Ca_MK_0</ci>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<ci>Ca_MK_trap</ci>
</apply>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>km_Ca_MK</ci>
<ci>Ca_r</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca_NSR">
<variable initial_value="1.2132524695849454" name="Ca_NSR" public_interface="out" units="millimolar"/>
<variable name="Vol_jsr" public_interface="in" units="microlitre"/>
<variable name="Vol_nsr" public_interface="in" units="microlitre"/>
<variable name="q_up" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="q_leak" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="q_tr" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_NSR</ci>
</apply>
<apply>
<minus/>
<ci>q_up</ci>
<apply>
<plus/>
<ci>q_leak</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>q_tr</ci>
<ci>Vol_jsr</ci>
</apply>
<ci>Vol_nsr</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca_JSR">
<variable initial_value="1.1433050636518596" name="Ca_JSR" public_interface="out" units="millimolar"/>
<variable initial_value="10" name="CSQN_max" units="millimolar"/>
<variable initial_value="0.8" name="km_CSQN" units="millimolar"/>
<variable name="Vol_jsr" public_interface="in" units="microlitre"/>
<variable name="Vol_nsr" public_interface="in" units="microlitre"/>
<variable name="q_tr" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="q_rel" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_JSR</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>q_tr</ci>
<ci>q_rel</ci>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>CSQN_max</ci>
<ci>km_CSQN</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>km_CSQN</ci>
<ci>Ca_JSR</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ca_r">
<variable initial_value="0.00022418117117903934" name="Ca_r" public_interface="out" units="millimolar"/>
<variable name="q_diff" public_interface="out" units="millimolar_per_millisecond"/>
<variable initial_value="0.00087" name="km_b_SR" units="millimolar"/>
<variable initial_value="0.0087" name="km_b_SL" units="millimolar"/>
<variable initial_value="0.047" name="b_SR_max" units="millimolar"/>
<variable initial_value="1.124" name="b_SL_max" units="millimolar"/>
<variable initial_value="0.2" name="tau_ss" units="millisecond"/>
<variable name="b_SR" units="dimensionless"/>
<variable name="b_SL" units="dimensionless"/>
<variable name="Ca_r_tot" units="dimensionless"/>
<variable name="Vol_jsr" public_interface="in" units="microlitre"/>
<variable name="Vol_ss" public_interface="in" units="microlitre"/>
<variable name="a_cap" public_interface="in" units="cm2"/>
<variable name="z_Ca" public_interface="in" units="dimensionless"/>
<variable name="time" public_interface="in" units="millisecond"/>
<variable name="F" public_interface="in" units="coulomb_per_mole"/>
<variable name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable name="q_rel" public_interface="in" units="millimolar_per_millisecond"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<variable name="Cm" public_interface="in" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Ca_r</ci>
</apply>
<apply>
<times/>
<ci>Ca_r_tot</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>Cm</ci>
</apply>
<ci>i_Ca_L</ci>
<ci>a_cap</ci>
</apply>
<apply>
<times/>
<ci>Vol_ss</ci>
<ci>z_Ca</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>q_rel</ci>
<ci>Vol_jsr</ci>
</apply>
<ci>Vol_ss</ci>
</apply>
</apply>
<ci>q_diff</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>q_diff</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_r</ci>
<ci>Ca_i</ci>
</apply>
<ci>tau_ss</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>b_SL</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>b_SL_max</ci>
<ci>Ca_r</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>Ca_r</ci>
<ci>km_b_SL</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>b_SR</ci>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
<ci>b_SR_max</ci>
<ci>Ca_r</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>Ca_r</ci>
<ci>km_b_SR</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_r_tot</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>
<ci>b_SR</ci>
<ci>b_SL</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="q_rel">
<variable cmeta:id="q_rel_q_rel" name="q_rel" public_interface="out" units="millimolar_per_millisecond"/>
<variable name="g_rel" units="per_millisecond"/>
<variable name="vg" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="millisecond"/>
<variable name="Ca_MK_act" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="km_Ca_MK" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="Ca_r" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="Ca_JSR" private_interface="out" public_interface="in" units="millimolar"/>
<variable name="i_Ca_L" private_interface="out" public_interface="in" units="microA_per_microF"/>
<variable name="i_Ca_L_max" public_interface="in" units="microA_per_microF"/>
<variable name="g_Ca_L" public_interface="in" units="dimensionless"/>
<variable name="ri" private_interface="in" units="dimensionless"/>
<variable name="ro" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_rel</ci>
<apply>
<times/>
<ci>g_rel</ci>
<ci>ro</ci>
<ci>ri</ci>
<apply>
<minus/>
<ci>Ca_JSR</ci>
<ci>Ca_r</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>g_rel</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="per_millisecond">3000</cn>
<ci>vg</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>vg</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/>
<apply>
<times/>
<ci>g_Ca_L</ci>
<ci>i_Ca_L_max</ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">13</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="q_rel_ri_gate">
<variable initial_value="0.7802870066567904" name="ri" public_interface="out" units="dimensionless"/>
<variable name="tau_ri" units="millisecond"/>
<variable name="tau_Ca_MK" units="millisecond"/>
<variable initial_value="10" name="tau_Ca_MK_max" units="millisecond"/>
<variable name="Ca_fac" units="millimolar"/>
<variable name="ri_infinity" units="dimensionless"/>
<variable name="Ca_r" public_interface="in" units="millimolar"/>
<variable name="Ca_MK_act" public_interface="in" units="dimensionless"/>
<variable name="km_Ca_MK" public_interface="in" units="millimolar"/>
<variable name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ri</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ri_infinity</ci>
<ci>ri</ci>
</apply>
<ci>tau_ri</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_ri</ci>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<minus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">350</cn>
<ci>tau_Ca_MK</ci>
</apply>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<apply>
<minus/>
<ci>Ca_r</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.003</cn>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.003</cn>
<ci>Ca_fac</ci>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0002</cn>
</apply>
</apply>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millisecond">3</cn>
<ci>tau_Ca_MK</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>ri_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/>
<apply>
<minus/>
<ci>Ca_r</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0004</cn>
</apply>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.002</cn>
<ci>Ca_fac</ci>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.000025</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ca_fac</ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">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>i_Ca_L</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">0.05</cn>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="microA_per_microF">0.015</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_Ca_MK</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>tau_Ca_MK_max</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
<ci>Ca_MK_act</ci>
</apply>
<apply>
<plus/>
<ci>km_Ca_MK</ci>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
<ci>Ca_MK_act</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="q_rel_ro_gate">
<variable initial_value="1.2785734760674763e-9" name="ro" public_interface="out" units="dimensionless"/>
<variable initial_value="3" name="tau_ro" units="millisecond"/>
<variable name="ro_infinity" units="dimensionless"/>
<variable name="ro_infinity_JSR" units="dimensionless"/>
<variable name="Ca_r" public_interface="in" units="millimolar"/>
<variable name="Ca_JSR" public_interface="in" units="millimolar"/>
<variable name="i_Ca_L" public_interface="in" units="microA_per_microF"/>
<variable name="time" public_interface="in" units="millisecond"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>ro</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>ro_infinity</ci>
<ci>ro</ci>
</apply>
<ci>tau_ro</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>ro_infinity</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>ro_infinity_JSR</ci>
<apply>
<power/>
<ci>i_Ca_L</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>i_Ca_L</ci>
<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="microA_per_microF_2">1</cn>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>ro_infinity_JSR</ci>
<apply>
<divide/>
<apply>
<power/>
<ci>Ca_JSR</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.9</cn>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Ca_JSR</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.9</cn>
</apply>
<apply>
<power/>
<apply>
<divide/>
<apply>
<times/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">49.28</cn>
<ci>Ca_r</ci>
</apply>
<apply>
<plus/>
<ci>Ca_r</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">0.0028</cn>
</apply>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1.9</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="q_leak">
<variable cmeta:id="q_leak_q_leak" name="q_leak" public_interface="out" units="millimolar_per_millisecond"/>
<variable initial_value="0.004375" name="q_leak_max" units="millimolar_per_millisecond"/>
<variable initial_value="15" name="NSR_max" units="millimolar"/>
<variable name="Ca_NSR" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_leak</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>q_leak_max</ci>
<ci>Ca_NSR</ci>
</apply>
<ci>NSR_max</ci>
</apply>
</apply>
</math>
</component>
<component name="q_up">
<variable cmeta:id="q_up_q_up" name="q_up" public_interface="out" units="millimolar_per_millisecond"/>
<variable initial_value="0.5" name="X_q_up" units="dimensionless"/>
<variable initial_value="0.004375" name="q_up_max" units="millimolar_per_millisecond"/>
<variable name="dq_up_Ca_MK" units="dimensionless"/>
<variable initial_value="0.75" name="dq_up_Ca_MK_max" units="dimensionless"/>
<variable name="dkm_plb" units="millimolar"/>
<variable initial_value="0.00017" name="dkm_plb_max" units="millimolar"/>
<variable initial_value="0.00092" name="km_up" units="millimolar"/>
<variable name="Ca_MK_act" public_interface="in" units="dimensionless"/>
<variable name="km_Ca_MK" public_interface="in" units="millimolar"/>
<variable name="Ca_i" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_up</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>X_q_up</ci>
<apply>
<plus/>
<ci>dq_up_Ca_MK</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">1</cn>
</apply>
<ci>q_up_max</ci>
<ci>Ca_i</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci>Ca_i</ci>
<ci>km_up</ci>
</apply>
<ci>dkm_plb</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dq_up_Ca_MK</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>dq_up_Ca_MK_max</ci>
<ci>Ca_MK_act</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
</apply>
<apply>
<plus/>
<ci>km_Ca_MK</ci>
<apply>
<times/>
<ci>Ca_MK_act</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>dkm_plb</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>dkm_plb_max</ci>
<ci>Ca_MK_act</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
</apply>
<apply>
<plus/>
<ci>km_Ca_MK</ci>
<apply>
<times/>
<ci>Ca_MK_act</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="millimolar">1</cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="q_tr">
<variable cmeta:id="q_tr_q_tr" name="q_tr" public_interface="out" units="millimolar_per_millisecond"/>
<variable initial_value="120" name="tau_tr" units="millisecond"/>
<variable name="Ca_NSR" public_interface="in" units="millimolar"/>
<variable name="Ca_JSR" public_interface="in" units="millimolar"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_tr</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_NSR</ci>
<ci>Ca_JSR</ci>
</apply>
<ci>tau_tr</ci>
</apply>
</apply>
</math>
</component>
<component name="model_parameters">
<variable initial_value="140" name="Na_o" public_interface="out" units="millimolar"/>
<variable initial_value="1.8" name="Ca_o" public_interface="out" units="millimolar"/>
<variable initial_value="5.4" name="K_o" public_interface="out" units="millimolar"/>
<variable initial_value="100" name="Cl_o" public_interface="out" units="millimolar"/>
<variable initial_value="8314" name="R" public_interface="out" units="joule_per_kilomole_kelvin"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="96485" name="F" public_interface="out" units="coulomb_per_mole"/>
<variable initial_value="2" name="z_Ca" public_interface="out" units="dimensionless"/>
<variable initial_value="1" name="gamma_Cai" public_interface="out" units="dimensionless"/>
<variable initial_value="0.341" name="gamma_Cao" public_interface="out" units="dimensionless"/>
<variable name="Vol_myo" public_interface="out" units="microlitre"/>
<variable name="Vol_jsr" public_interface="out" units="microlitre"/>
<variable name="Vol_nsr" public_interface="out" units="microlitre"/>
<variable name="Vol_ss" public_interface="out" units="microlitre"/>
<variable name="a_cap" public_interface="out" units="cm2"/>
<variable initial_value="0.3454" name="Vol_cell" public_interface="out" units="microlitre"/>
<variable name="a_geo" units="cm2"/>
<variable initial_value="0.0011" name="radius" units="cm"/>
<variable initial_value="0.01" name="length" units="cm"/>
<variable initial_value="2" name="rcg" units="dimensionless"/>
<variable initial_value="1" name="Cm" public_interface="out" units="microF_per_cm2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>a_geo</ci>
<apply>
<plus/>
<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="dimensionless">3.14</cn>
<apply>
<power/>
<ci>radius</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">2</cn>
</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="dimensionless">3.14</cn>
<ci>radius</ci>
<ci>length</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>a_cap</ci>
<apply>
<times/>
<ci>rcg</ci>
<ci>a_geo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Vol_myo</ci>
<apply>
<times/>
<ci>Vol_cell</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.68</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Vol_nsr</ci>
<apply>
<times/>
<ci>Vol_cell</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.0552</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Vol_jsr</ci>
<apply>
<times/>
<ci>Vol_cell</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.0048</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>Vol_ss</ci>
<apply>
<times/>
<ci>Vol_cell</ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">0.02</cn>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="i_Na">
<component_ref component="i_Na_m_gate"/>
<component_ref component="i_Na_h_gate"/>
<component_ref component="i_Na_j_gate"/>
</component_ref>
<component_ref component="i_Na_L">
<component_ref component="i_Na_L_m_L_gate"/>
<component_ref component="i_Na_L_h_L_gate"/>
</component_ref>
<component_ref component="i_Ca_L">
<component_ref component="i_Ca_L_d_gate"/>
<component_ref component="i_Ca_L_f_gate"/>
<component_ref component="i_Ca_L_f2_gate"/>
<component_ref component="i_Ca_L_f_Ca_gate"/>
<component_ref component="i_Ca_L_f_Ca2_gate"/>
</component_ref>
<component_ref component="i_Ca_T">
<component_ref component="i_Ca_T_b_gate"/>
<component_ref component="i_Ca_T_g_gate"/>
</component_ref>
<component_ref component="i_to_1">
<component_ref component="i_to_1_a_gate"/>
<component_ref component="i_to_1_i_gate"/>
<component_ref component="i_to_1_i2_gate"/>
</component_ref>
<component_ref component="i_Kr">
<component_ref component="i_Kr_xr_gate"/>
</component_ref>
<component_ref component="i_Ks">
<component_ref component="i_Ks_xs1_gate"/>
<component_ref component="i_Ks_xs2_gate"/>
</component_ref>
<component_ref component="i_K1">
<component_ref component="i_K1_xK1_gate"/>
</component_ref>
<component_ref component="i_to_2">
<component_ref component="i_to_2_a_gate"/>
</component_ref>
<component_ref component="q_rel">
<component_ref component="q_rel_ri_gate"/>
<component_ref component="q_rel_ro_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="i_Na" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_Na_L" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_Ca_L" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_Ca_T" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_to_1" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_Kr" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_Ks" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_K1" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_K_p" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="i_to_2" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Ca_i" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Ca_MK_act" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Ca_NSR" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Ca_JSR" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="Ca_r" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="q_rel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Na"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Na_L"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Na_L" variable_2="i_Na_L"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Ca_L"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Ca_T"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ca_T" variable_2="i_Ca_T"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_to_1"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_to_1" variable_2="i_to_1"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Kr"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Kr" variable_2="i_Kr"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Ks"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ks" variable_2="i_Ks"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_K1"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_K1" variable_2="i_K1"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_K_p"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_K_p" variable_2="i_K_p"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_to_2"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_to_2" variable_2="i_to_2"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_NaCa"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_NaK"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_NaK" variable_2="i_NaK"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="i_Ca_p"/>
<map_variables variable_1="i_Ca_p" variable_2="i_Ca_p"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="background_currents"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
<map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
<map_variables variable_1="i_Cl_b" variable_2="i_Cl_b"/>
<map_variables variable_1="i_K_b" variable_2="i_K_b"/>
</connection>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="equilibrium_potentials"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="K_i" variable_2="K_i"/>
<map_variables variable_1="Cl_i" variable_2="Cl_i"/>
</connection>
<connection>
<map_components component_1="Ca_i" component_2="equilibrium_potentials"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="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"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
<map_variables variable_1="K_o" variable_2="K_o"/>
<map_variables variable_1="Cl_o" variable_2="Cl_o"/>
</connection>
<connection>
<map_components component_1="i_Na" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="i_Na_L" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="i_Ca_L"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_Ca" variable_2="z_Ca"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
<map_variables variable_1="gamma_Cai" variable_2="gamma_Cai"/>
<map_variables variable_1="gamma_Cao" variable_2="gamma_Cao"/>
<map_variables variable_1="Cm" variable_2="Cm"/>
</connection>
<connection>
<map_components component_1="Ca_r" component_2="i_Ca_L"/>
<map_variables variable_1="Ca_r" variable_2="Ca_r"/>
<map_variables variable_1="i_Ca_L" variable_2="i_Ca_L"/>
</connection>
<connection>
<map_components component_1="Ca_MK_act" component_2="i_Ca_L"/>
<map_variables variable_1="Ca_MK_act" variable_2="Ca_MK_act"/>
<map_variables variable_1="km_Ca_MK" variable_2="km_Ca_MK"/>
</connection>
<connection>
<map_components component_1="i_to_1" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="i_Kr" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="i_Kr"/>
<map_variables variable_1="K_o" variable_2="K_o"/>
</connection>
<connection>
<map_components component_1="i_Ks" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_Ks" variable_2="E_Ks"/>
</connection>
<connection>
<map_components component_1="Ca_i" component_2="i_Ks"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
</connection>
<connection>
<map_components component_1="i_K1" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="i_K1"/>
<map_variables variable_1="K_o" variable_2="K_o"/>
</connection>
<connection>
<map_components component_1="i_K_p" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="Ca_r" component_2="i_to_2"/>
<map_variables variable_1="Ca_r" variable_2="Ca_r"/>
</connection>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="i_to_2"/>
<map_variables variable_1="Cl_i" variable_2="Cl_i"/>
<map_variables variable_1="i_to_2" variable_2="i_to_2"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="i_to_2"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="Cl_o" variable_2="Cl_o"/>
<map_variables variable_1="Cm" variable_2="Cm"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="i_NaCa"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
</connection>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="i_NaCa"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
</connection>
<connection>
<map_components component_1="Ca_i" component_2="i_NaCa"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="i_NaCa" variable_2="i_NaCa"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="i_NaK"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="Na_o" variable_2="Na_o"/>
<map_variables variable_1="K_o" variable_2="K_o"/>
</connection>
<connection>
<map_components component_1="intracellular_ion_concentrations" component_2="i_NaK"/>
<map_variables variable_1="Na_i" variable_2="Na_i"/>
<map_variables variable_1="i_NaK" variable_2="i_NaK"/>
</connection>
<connection>
<map_components component_1="Ca_i" component_2="i_Ca_p"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="i_Ca_p" variable_2="i_Ca_p"/>
</connection>
<connection>
<map_components component_1="CT_K_Cl" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
<map_variables variable_1="E_Cl" variable_2="E_Cl"/>
</connection>
<connection>
<map_components component_1="CT_Na_Cl" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
<map_variables variable_1="E_Cl" variable_2="E_Cl"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="background_currents"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="z_Ca" variable_2="z_Ca"/>
<map_variables variable_1="Ca_o" variable_2="Ca_o"/>
<map_variables variable_1="gamma_Cai" variable_2="gamma_Cai"/>
<map_variables variable_1="gamma_Cao" variable_2="gamma_Cao"/>
<map_variables variable_1="Cm" variable_2="Cm"/>
</connection>
<connection>
<map_components component_1="background_currents" component_2="equilibrium_potentials"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
<map_variables variable_1="E_Cl" variable_2="E_Cl"/>
<map_variables variable_1="E_K" variable_2="E_K"/>
</connection>
<connection>
<map_components component_1="Ca_i" component_2="background_currents"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="i_Ca_b" variable_2="i_Ca_b"/>
</connection>
<connection>
<map_components component_1="i_Na" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_Na" variable_2="i_Na"/>
</connection>
<connection>
<map_components component_1="i_Na_L" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_Na_L" variable_2="i_Na_L"/>
</connection>
<connection>
<map_components component_1="i_K1" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_K1" variable_2="i_K1"/>
</connection>
<connection>
<map_components component_1="i_to_1" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_to_1" variable_2="i_to_1"/>
</connection>
<connection>
<map_components component_1="i_Kr" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_Kr" variable_2="i_Kr"/>
</connection>
<connection>
<map_components component_1="i_Ks" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_Ks" variable_2="i_Ks"/>
</connection>
<connection>
<map_components component_1="i_K_p" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_K_p" variable_2="i_K_p"/>
</connection>
<connection>
<map_components component_1="background_currents" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="i_Na_b" variable_2="i_Na_b"/>
<map_variables variable_1="i_K_b" variable_2="i_K_b"/>
<map_variables variable_1="i_Cl_b" variable_2="i_Cl_b"/>
</connection>
<connection>
<map_components component_1="CT_K_Cl" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="CT_K_Cl" variable_2="CT_K_Cl"/>
</connection>
<connection>
<map_components component_1="CT_Na_Cl" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="CT_Na_Cl" variable_2="CT_Na_Cl"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="intracellular_ion_concentrations"/>
<map_variables variable_1="Vol_myo" variable_2="Vol_myo"/>
<map_variables variable_1="a_cap" variable_2="a_cap"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="Cm" variable_2="Cm"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="Ca_i"/>
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Optimal velocity and safety of discontinuous conduction through the heterogeneous Purkinje-ventricular junction
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This is the CellML description of Aslanidi et al.'s mathematical model of of the caninine Purkinje-ventricular junction
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The Aslanidi et al. 2009 model of the caninine Purkinje-ventricular junction
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