- Author:
- David Nickerson <david.nickerson@gmail.com>
- Date:
- 2021-09-17 15:50:49+12:00
- Desc:
- tweak html formatting
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/a1/rawfile/1b3862589abf79ae9119ee0b5e99a8b785d762e1/models/1994_luo/model.xml
<?xml version="1.0" encoding="iso-8859-1"?>
<!-- FILE : LR_II_model_1994.xml
CREATED : 28th March 2002
LAST MODIFIED : 30th July 2003
AUTHOR : Catherine Lloyd
The Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the CellML Metadata 1.0 Specification released on 16th
January, 2002.
DESCRIPTION : This file contains a CellML description of the mammalian
ventricular action potential based on the Luo-Rudy II model, 1994. This model
is a development of the LR-I model. In particular, the LR-II model describes
the processes which regulate [Ca]i (intracellular Calcium concentration), and
the movement of calcium ions through the cell and to and from the sarcoplasmic
reticulum.
CHANGES:
18/07/2002 - CML - Added more metadata.
09/04/2003 - AAC - Added publication date information.
05/06/2003 - CML - Fixed MathML in a few components.
30/07/2003 - CML - Fixed MathML in a few components.
-->
<model
name="LR_II_model_1994"
cmeta:id="LR_II_model_1994"
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#">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
xmlns:bqs="http://www.cellml.org/bqs/1.0#"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#"
xmlns:cs="http://www.cellml.org/metadata/simulation/1.0#">
<!--
The following RDF block contains metadata that applies to this document
as a whole, as indicated by the empty about attribute on the
<rdf:Description> element.
-->
<rdf:Description rdf:about="">
<!--
The Model Builder Metadata. The Dublin Core "creator" element is used
to indicate the person who translated the model into CellML.
-->
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Lloyd</vCard:Family>
<vCard:Given>Catherine</vCard:Given>
<vCard:Other>May</vCard:Other>
</vCard:N>
<vCard:EMAIL rdf:parseType="Resource">
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet" />
</vCard:EMAIL>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</vCard:ORG>
</dc:creator>
<!--
The Creation Date metadata. This is the date on which the model
was translated into CellML.
-->
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2002-03-28</dcterms:W3CDTF>
</dcterms:created>
<!--
The Modification History metadata. This lists the changes that have been
made to the document, who made the changes, and when they were made.
-->
<cmeta:modification rdf:parseType="Resource">
<rdf:value>
Fixed maths.
</rdf:value>
<cmeta:modifier rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Lloyd</vCard:Family>
<vCard:Given>Catherine</vCard:Given>
<vCard:Other>May</vCard:Other>
</vCard:N>
</cmeta:modifier>
<dcterms:modified rdf:parseType="Resource">
<dcterms:W3CDTF>2003-07-30</dcterms:W3CDTF>
</dcterms:modified>
</cmeta:modification>
<cmeta:modification rdf:parseType="Resource">
<rdf:value>
Fixed maths: alpha_J_calculation in fast_sodium_current_j_gate,
beta_K1_calculation in time_independent_potassium_current_K1_gate, and i_NaK_calculation in sodium_potassium_pump.
</rdf:value>
<cmeta:modifier rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Lloyd</vCard:Family>
<vCard:Given>Catherine</vCard:Given>
<vCard:Other>May</vCard:Other>
</vCard:N>
</cmeta:modifier>
<dcterms:modified rdf:parseType="Resource">
<dcterms:W3CDTF>2003-06-05</dcterms:W3CDTF>
</dcterms:modified>
</cmeta:modification>
<!-- The Publisher metadata. -->
<dc:publisher>
The University of Auckland, The Bioengineering Institute
</dc:publisher>
</rdf:Description>
<!--
The following metadata refers to the model itself, as indicated by the
reference to the ID "LR_II_model_1994", which is declared on the
<model> element.
-->
<rdf:Description rdf:about="#LR_II_model_1994">
<!-- A human readable name for the model. -->
<dc:title>
The Luo-Rudy II Model of Mammalian Ventricular Cardiac Action
Potentials, 1994
</dc:title>
<!-- A comment regarding the model. -->
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
This is the CellML description of Luo and Rudy's mathematical model of
the mammalian cardiac ventricular action potential. It is a
significant development on their original 1991 model. While this
version of the model qualitatively compares well to the LR II paper
for the action potential, the intracellular calcium dynamics have not
been included correctly - namely there is no calcium-induced
calcium-release (CICR) process in this version of the model. The
original version of the model simulates CICR via a mechanism whereby
CICR is induced if and only if the calcium accumulated in the cell in
the 2 ms following (dV/dt)max exceeds a given threshold. This sort of
process is a bit tricky to include in the CellML (or at least in a way
that will work with the CellML abilitites of CMISS) so has been left
out for now.
</rdf:value>
<!-- The creator of the comment. -->
<dc:creator rdf:parseType="Resource">
<vCard:FN>Catherine Lloyd</vCard:FN>
</dc:creator>
</cmeta:comment>
<!-- The model is relevant to all mammals. -->
<cmeta:species>Mammalia</cmeta:species>
<cmeta:bio_entity>Ventricular Myocyte</cmeta:bio_entity>
<!--
The CellML Metadata Specification recommends that bibliographic metadata
is used to provide information about the original model reference. The
"identifier" attribute on the "BibliographicReference" class provides an
elegant way to identify a cited reference using a database identifier such as Pubmed. All associated data such as author, journal title,
date, etc can be looked up on the database.
-->
<bqs:reference rdf:parseType="Resource">
<bqs:Pubmed_id>7514509</bqs:Pubmed_id>
</bqs:reference>
<cs:simulation>
<rdf:Description rdf:ID="simulation">
<cs:multistepMethod>bdf</cs:multistepMethod>
<cs:iterationMethod>newton</cs:iterationMethod>
<cs:linearSolver>dense</cs:linearSolver>
<cs:boundIntervals rdf:parseType="Collection">
<rdf:Description>
<cs:boundVariable>
<rdf:Description rdf:about="#time"/>
</cs:boundVariable>
<cs:maximumStepSize rdf:datatype="http://www.w3.org/2001/XMLSchema#double">
0.01
</cs:maximumStepSize>
<cs:tabulationStepSize rdf:datatype="http://www.w3.org/2001/XMLSchema#double">
1.0
</cs:tabulationStepSize>
<cs:startingValue rdf:datatype="http://www.w3.org/2001/XMLSchema#double">
0
</cs:startingValue>
<cs:endingValue rdf:datatype="http://www.w3.org/2001/XMLSchema#double">
700
</cs:endingValue>
</rdf:Description>
</cs:boundIntervals>
</rdf:Description>
</cs:simulation>
</rdf:Description>
</rdf:RDF>
<!--
Below, we define some additional units for association with variables and
constants within the model. The identifiers are fairly self-explanatory.
-->
<units name="ms">
<unit prefix="milli" units="second" />
</units>
<units name="per_ms">
<unit prefix="milli" units="second" exponent="-1" />
</units>
<units name="per_mm">
<unit prefix="milli" units="metre" exponent="-1" />
</units>
<units name="mV">
<unit prefix="milli" units="volt" />
</units>
<units name="mV_per_ms">
<unit units="mV" />
<unit units="ms" exponent="-1" />
</units>
<units name="per_mV">
<unit prefix="milli" units="volt" exponent="-1" />
</units>
<units name="per_mV_ms">
<unit units="mV" exponent="-1" />
<unit units="ms" exponent="-1" />
</units>
<units name="mS_per_mm2">
<unit prefix="milli" units="siemens" />
<unit prefix="milli" units="metre" exponent="-2" />
</units>
<units name="uF_per_mm2">
<unit prefix="micro" units="farad" />
<unit prefix="milli" units="metre" exponent="-2" />
</units>
<units name="uA_per_mm2">
<unit prefix="micro" units="ampere" />
<unit prefix="milli" units="metre" exponent="-2" />
</units>
<units name="mM_per_ms">
<unit units="mM" />
<unit units="ms" exponent="-1" />
</units>
<units name="mM">
<unit prefix="nano" units="mole" />
<unit prefix="milli" units="metre" exponent="-3" />
</units>
<units name="gas_constant_units">
<unit prefix="pico" units="joule" />
<unit prefix="nano" units="mole" exponent="-1" />
<unit units="kelvin" exponent="-1" />
</units>
<units name="faradays_constant_units">
<unit prefix="nano" units="coulomb" />
<unit prefix="nano" units="mole" exponent="-1" />
</units>
<units name="mm_per_ms">
<unit prefix="milli" units="metre" />
<unit units="ms" exponent="-1" />
</units>
<units name="mm2">
<unit prefix="milli" units="metre" exponent="2" />
</units>
<units name="uA_per_mmcu">
<unit prefix="micro" units="ampere" />
<unit prefix="milli" units="metre" exponent="-3"/>
</units>
<!--
The "environment" component is used to declare variables that are used by
all or most of the other components, in this case just "time".
-->
<component name="environment" cmeta:id="environment">
<variable cmeta:id="time" name="time" public_interface="out" units="ms" />
</component>
<component name="membrane" cmeta:id="membrane">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#membrane">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The main component for the model, contains all ionic currents and
defines the transmembrane potential.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable
cmeta:id="Vm" name="V" public_interface="out"
initial_value="-84.624" units="mV" />
<variable
name="R" public_interface="out"
initial_value="8.3145e3" units="gas_constant_units" />
<variable
name="T" public_interface="out"
initial_value="310.0" units="kelvin" />
<variable
name="F" public_interface="out"
initial_value="96845.0" units="faradays_constant_units" />
<variable
name="dV_dt" public_interface="out" units="mV_per_ms" />
<variable name="Am" public_interface="out" private_interface="out" initial_value="200" units="per_mm" />
<!-- These variables are defined here and only used internally. -->
<variable name="Cm" initial_value="0.01" units="uF_per_mm2" />
<variable name="I_st" units="uA_per_mm2" />
<variable name="stimTime" initial_value="100.0" units="ms"/>
<variable name="stimDuration" initial_value="1.0" units="ms"/>
<variable name="stimCurrent" initial_value="100" units="uA_per_mmcu"/>
<!-- These variables are imported from other components. -->
<variable name="time" public_interface="in" units="ms" />
<variable name="i_Na" public_interface="in" units="uA_per_mm2" />
<variable name="i_Ca_L" public_interface="in" units="uA_per_mm2" />
<variable name="i_K" public_interface="in" units="uA_per_mm2" />
<variable name="i_NaCa" public_interface="in" units="uA_per_mm2" />
<variable name="i_K1" public_interface="in" units="uA_per_mm2" />
<variable name="i_Kp" public_interface="in" units="uA_per_mm2" />
<variable name="i_p_Ca" public_interface="in" units="uA_per_mm2" />
<variable name="i_Na_b" public_interface="in" units="uA_per_mm2" />
<variable name="i_Ca_b" public_interface="in" units="uA_per_mm2" />
<variable name="i_NaK" public_interface="in" units="uA_per_mm2" />
<variable name="i_ns_Ca" public_interface="in" units="uA_per_mm2" />
<!--
The membrane voltage (V) is calculated as an ordinary
differential equation in terms of the currents.
-->
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#dV_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
We need to use dV/dt in the calulation of calcium-induced
calcium-release, so we make it accessible here.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="dV_dt_eq">
<apply id="dV_dt_eq"><eq />
<ci>dV_dt</ci>
<apply><divide />
<apply><minus/>
<ci> I_st </ci>
<apply><plus />
<ci> i_Na </ci>
<ci> i_Ca_L </ci>
<ci> i_K </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_NaCa </ci>
<ci> i_p_Ca </ci>
<ci> i_Na_b </ci>
<ci> i_Ca_b </ci>
<ci> i_NaK </ci>
<ci> i_ns_Ca </ci>
</apply>
</apply>
<ci> Cm </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#membrane_voltage_diff_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Assign the rate of change of potential for the differential
equation.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="membrane_voltage_diff_eq">
<apply id="membrane_voltage_diff_eq"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> V </ci>
</apply>
<ci>dV_dt</ci>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="IStim_for_cmiss_eq">
<apply id="stimulus_calculation"><eq />
<ci>I_st</ci>
<piecewise>
<piece>
<apply><divide/>
<ci>stimCurrent</ci>
<ci>Am</ci>
</apply>
<apply><and/>
<apply><geq/>
<ci>time</ci>
<ci>stimTime</ci>
</apply>
<apply><leq/>
<ci>time</ci>
<apply><plus/>
<ci>stimTime</ci>
<ci>stimDuration</ci>
</apply>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="uA_per_mmsq">0.0</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="fast_sodium_current" cmeta:id="fast_sodium_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#fast_sodium_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The fast sodium current is primarily responsible for the upstroke of
the action potential.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_Na" public_interface="out" units="uA_per_mm2" />
<variable name="E_Na" public_interface="out" units="mV" />
<variable name="g_Na" initial_value="0.16" units="mS_per_mm2" />
<variable
name="time" public_interface="in"
private_interface="out" units="ms" />
<variable
name="V" public_interface="in"
private_interface="out" units="mV" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="Nai" public_interface="in" units="mM" />
<variable name="Nao" public_interface="in" units="mM" />
<variable name="m" private_interface="in" units="dimensionless" />
<variable name="h" private_interface="in" units="dimensionless" />
<variable name="j" private_interface="in" units="dimensionless" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_Na_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the fast sodium current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_Na_calculation_eq">
<apply id="i_Na_calculation"><eq />
<ci> i_Na </ci>
<apply><times />
<ci> g_Na </ci>
<apply><power />
<ci> m </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> h </ci>
<ci> j </ci>
<apply><minus />
<ci> V </ci>
<ci> E_Na </ci>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#E_Na_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of reversal potential for the fast sodium channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="E_Na_calculation_eq">
<apply id="E_Na_calculation"><eq />
<ci> E_Na </ci>
<apply><times />
<apply><divide />
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply><ln />
<apply><divide />
<ci> Nao </ci>
<ci> Nai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_m_gate"
cmeta:id="fast_sodium_current_m_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#fast_sodium_current_m_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The voltage-dependent activation gate for the fast sodium channel -
the m gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="m" initial_value="0.0" public_interface="out" units="dimensionless" />
<variable name="alpha_m" units="per_ms" />
<variable name="beta_m" units="per_ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_m_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate for the m gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_m_calculation_eq">
<apply id="alpha_m_calculation"><eq />
<ci> alpha_m </ci>
<apply><divide />
<apply><times />
<cn cellml:units="per_mV_ms"> 0.32 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 47.13 </cn>
</apply>
</apply>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.1 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 47.13 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_m_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate for the m gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_m_calculation_eq">
<apply id="beta_m_calculation"><eq />
<ci> beta_m </ci>
<apply><times />
<cn cellml:units="per_ms"> 0.08 </cn>
<apply><exp />
<apply><divide />
<apply><minus />
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 11.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#dm_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the m gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="dm_dt_eq">
<apply id="dm_dt"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> m </ci>
</apply>
<apply><minus />
<apply><times />
<ci> alpha_m </ci>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> m </ci>
</apply>
</apply>
<apply><times />
<ci> beta_m </ci>
<ci> m </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_h_gate"
cmeta:id="fast_sodium_current_h_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#fast_sodium_current_h_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The voltage-dependent inactivation gate for the fast sodium channel -
the h gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="h" initial_value="1.0" public_interface="out" units="dimensionless" />
<variable name="alpha_h" units="per_ms" />
<variable name="beta_h" units="per_ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_h_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate for the h gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_h_calculation_eq">
<apply id="alpha_h_calculation"><eq />
<ci> alpha_h </ci>
<piecewise>
<piece>
<apply><times />
<cn cellml:units="per_ms"> 0.135 </cn>
<apply><exp />
<apply><divide />
<apply><plus />
<cn cellml:units="mV"> 80.0 </cn>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> -6.8 </cn>
</apply>
</apply>
</apply>
<apply><lt />
<ci> V </ci>
<cn cellml:units="mV"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_ms"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_h_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate for the h gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_h_calculation_eq">
<apply id="beta_h_calculation"><eq />
<ci> beta_h </ci>
<piecewise>
<piece>
<apply><plus />
<apply><times />
<cn cellml:units="per_ms"> 3.56 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="mV"> 0.079 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply><times />
<cn cellml:units="per_ms"> 310000.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> 0.35 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply><lt />
<ci> V </ci>
<cn cellml:units="mV"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times />
<cn cellml:units="ms"> 0.13 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><divide />
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 10.66 </cn>
</apply>
<cn cellml:units="mV"> -11.1 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#dh_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the h gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="dh_dt_eq">
<apply id="dh_dt"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> h </ci>
</apply>
<apply><minus />
<apply><times />
<ci> alpha_h </ci>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> h </ci>
</apply>
</apply>
<apply><times />
<ci> beta_h </ci>
<ci> h </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="fast_sodium_current_j_gate"
cmeta:id="fast_sodium_current_j_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#fast_sodium_current_j_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The voltage-dependent slow inactivation gate for the fast sodium
channel - the j gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="j" initial_value="1.0" public_interface="out" units="dimensionless" />
<variable name="alpha_j" units="per_ms" />
<variable name="beta_j" units="per_ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_j_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate for the j gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_j_calculation_eq">
<apply id="alpha_j_calculation"><eq />
<ci> alpha_j </ci>
<piecewise>
<piece>
<apply><times />
<apply><minus />
<apply><times />
<cn cellml:units="per_mV_ms"> -127140.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> 0.2444 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply><times />
<cn cellml:units="per_mV_ms"> 0.00003474 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.04391 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
</apply>
<apply><divide />
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 37.78 </cn>
</apply>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> 0.311 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 79.23 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><lt />
<ci> V </ci>
<cn cellml:units="mV"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="per_ms"> 0.0 </cn>
</otherwise>
</piecewise>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_j_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate for the j gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_j_calculation_eq">
<apply id="beta_j_calculation"><eq />
<ci> beta_j </ci>
<piecewise>
<piece>
<apply><divide />
<apply><times />
<cn cellml:units="per_ms"> 0.1212 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.01052 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.1378 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 40.14 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><lt />
<ci> V </ci>
<cn cellml:units="mV"> -40.0 </cn>
</apply>
</piece>
<otherwise>
<apply><divide />
<apply><times />
<cn cellml:units="per_ms"> 0.3 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.0000002535 </cn>
<ci> V </ci>
</apply>
</apply>
</apply>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.1 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 32.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#dj_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of for the j gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="dj_dt_eq">
<apply id="dj_dt"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> j </ci>
</apply>
<apply><minus />
<apply><times />
<ci> alpha_j </ci>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> j </ci>
</apply>
</apply>
<apply><times />
<ci> beta_j </ci>
<ci> j </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel" cmeta:id="L_type_Ca_channel">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#L_type_Ca_channel">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The L-type calcium channel. Primarily a calcium specific channel,
but with small potassium and sodium components, activated at plateau
potentials.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_Ca_L" public_interface="out" units="uA_per_mm2" />
<variable name="i_CaCa" public_interface="out" units="uA_per_mm2" />
<variable name="i_CaK" public_interface="out" units="uA_per_mm2" />
<variable name="i_CaNa" public_interface="out" units="uA_per_mm2" />
<variable name="gamma_Nai" public_interface="out" initial_value="0.75" units="dimensionless" />
<variable name="gamma_Nao" public_interface="out" initial_value="0.75" units="dimensionless" />
<variable name="gamma_Ki" public_interface="out" initial_value="0.75" units="dimensionless" />
<variable name="gamma_Ko" public_interface="out" initial_value="0.75" units="dimensionless" />
<variable name="I_CaCa" units="uA_per_mm2" />
<variable name="I_CaK" units="uA_per_mm2" />
<variable name="I_CaNa" units="uA_per_mm2" />
<variable name="P_Ca" initial_value="5.4e-6" units="mm_per_ms" />
<variable name="P_Na" initial_value="6.75e-9" units="mm_per_ms" />
<variable name="P_K" initial_value="1.93e-9" units="mm_per_ms" />
<variable name="gamma_Cai" initial_value="1.0" units="dimensionless" />
<variable name="gamma_Cao" initial_value="0.34" units="dimensionless" />
<variable
name="time" public_interface="in"
private_interface="out" units="ms" />
<variable
name="V" public_interface="in"
private_interface="out" units="mV" />
<variable
name="Cai" public_interface="in"
private_interface="out" units="mM" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="Cao" public_interface="in" units="mM" />
<variable name="Nao" public_interface="in" units="mM" />
<variable name="Ko" public_interface="in" units="mM" />
<variable name="Nai" public_interface="in" units="mM" />
<variable name="Ki" public_interface="in" units="mM" />
<variable name="d" private_interface="in" units="dimensionless" />
<variable name="f" private_interface="in" units="dimensionless" />
<variable name="f_Ca" private_interface="in" units="dimensionless" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_CaCa_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The calcium component of the total L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_CaCa_calculation_eq">
<apply id="i_CaCa_calculation"><eq />
<ci> i_CaCa </ci>
<apply><times />
<ci> d </ci>
<ci> f </ci>
<ci> f_Ca </ci>
<ci> I_CaCa </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_CaNa_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The sodium component of the total L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_CaNa_calculation_eq">
<apply id="i_CaNa_calculation"><eq />
<ci> i_CaNa </ci>
<apply><times />
<ci> d </ci>
<ci> f </ci>
<ci> f_Ca </ci>
<ci> I_CaNa </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_CaK_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The potassium component of the total L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_CaK_calculation_eq">
<apply id="i_CaK_calculation"><eq />
<ci> i_CaK </ci>
<apply><times />
<ci> d </ci>
<ci> f </ci>
<ci> f_Ca </ci>
<ci> I_CaK </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#I_CaCa_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The maximum calcium component of the total L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="I_CaCa_calculation_eq">
<apply id="I_CaCa_calculation"><eq />
<ci> I_CaCa </ci>
<apply><times />
<ci> P_Ca </ci>
<apply><power />
<cn cellml:units="dimensionless"> 2.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply><divide />
<apply><times />
<ci> V </ci>
<apply><power />
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply><divide />
<apply><minus />
<apply><times />
<ci> gamma_Cai </ci>
<ci> Cai </ci>
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 2.0 </cn>
<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> Cao </ci>
</apply>
</apply>
<apply><minus />
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#I_CaNa_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The maximum sodium component of the total L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="I_CaNa_calculation_eq">
<apply id="I_CaNa_calculation"><eq />
<ci> I_CaNa </ci>
<apply><times />
<ci> P_Na </ci>
<apply><power />
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply><divide />
<apply><times />
<ci> V </ci>
<apply><power />
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply><divide />
<apply><minus />
<apply><times />
<ci> gamma_Nai </ci>
<ci> Nai </ci>
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply><times />
<ci> gamma_Nao </ci>
<ci> Nao </ci>
</apply>
</apply>
<apply><minus />
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#I_CaK_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The maximum potassium component of the total L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="I_CaK_calculation_eq">
<apply id="I_CaK_calculation"><eq />
<ci> I_CaK </ci>
<apply><times />
<ci> P_K </ci>
<apply><power />
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply><divide />
<apply><times />
<ci> V </ci>
<apply><power />
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply><divide />
<apply><minus />
<apply><times />
<ci> gamma_Ki </ci>
<ci> Ki </ci>
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply><times />
<ci> gamma_Ko </ci>
<ci> Ko </ci>
</apply>
</apply>
<apply><minus />
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_Ca_L_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The total current of the L-type channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_Ca_L_calculation_eq">
<apply id="i_Ca_L_calculation"><eq />
<ci> i_Ca_L </ci>
<apply> <plus />
<ci> i_CaCa </ci>
<ci> i_CaK </ci>
<ci> i_CaNa </ci>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_d_gate"
cmeta:id="L_type_Ca_channel_d_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#L_type_Ca_channel_d_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The voltage-dependent activation gate for the L-type calcium
channel - the d gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="d" initial_value="0.0" public_interface="out" units="dimensionless" />
<variable name="alpha_d" units="per_ms" />
<variable name="beta_d" units="per_ms" />
<variable name="d_infinity" units="dimensionless" />
<variable name="tau_d" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_d_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate of the d gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_d_calculation_eq">
<apply id="alpha_d_calculation"><eq />
<ci> alpha_d </ci>
<apply><divide />
<ci> d_infinity </ci>
<ci> tau_d </ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="d_infinity_calculation_eq">
<apply id="d_infinity_calculation"><eq />
<ci> d_infinity </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><minus />
<apply><divide />
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 10.0 </cn>
</apply>
<cn cellml:units="mV"> 6.24 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="tau_d_calculation_eq">
<apply id="tau_d_calculation"><eq />
<ci> tau_d </ci>
<apply><times />
<ci> d_infinity </ci>
<apply><divide />
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><minus />
<apply><divide />
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 10.0 </cn>
</apply>
<cn cellml:units="mV"> 6.24 </cn>
</apply>
</apply>
</apply>
</apply>
<apply><times />
<cn cellml:units="per_mV_ms"> 0.035 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 10.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_d_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate of the d gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_d_calculation_eq">
<apply id="beta_d_calculation"><eq />
<ci> beta_d </ci>
<apply><divide />
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> d_infinity </ci>
</apply>
<ci> tau_d </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#dd_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the d gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="dd_dt_eq">
<apply id="dd_dt"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> d </ci>
</apply>
<apply><minus />
<apply><times />
<ci> alpha_d </ci>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> d </ci>
</apply>
</apply>
<apply><times />
<ci> beta_d </ci>
<ci> d </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_gate"
cmeta:id="L_type_Ca_channel_f_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#L_type_Ca_channel_f_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The voltage-dependent inactivation gate for the L-type calcium
channel - the f gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="f" initial_value="1.0" public_interface="out" units="dimensionless" />
<variable name="alpha_f" units="per_ms" />
<variable name="beta_f" units="per_ms" />
<variable name="f_infinity" units="dimensionless" />
<variable name="tau_f" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_f_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate of the f gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_f_calculation_eq">
<apply id="alpha_f_calculation"><eq />
<ci> alpha_f </ci>
<apply><divide />
<ci> f_infinity </ci>
<ci> tau_f </ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="f_infinity_calculation_eq">
<apply id="f_infinity_calculation"><eq />
<ci> f_infinity </ci>
<apply><plus />
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><divide />
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 35.06 </cn>
</apply>
<cn cellml:units="mV"> 8.6 </cn>
</apply>
</apply>
</apply>
</apply>
<apply><divide />
<cn cellml:units="dimensionless"> 0.6 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><divide />
<apply><minus />
<cn cellml:units="mV"> 50.0 </cn>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 20.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="tau_f_calculation_eq">
<apply id="tau_f_calculation"><eq />
<ci> tau_f </ci>
<apply><divide />
<cn cellml:units="ms"> 1.0 </cn>
<apply><plus />
<apply><times />
<cn cellml:units="dimensionless"> 0.0197 </cn>
<apply><exp />
<apply><minus />
<apply><power />
<apply><times />
<cn cellml:units="per_mV"> 0.0337 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 10.0 </cn>
</apply>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 0.02 </cn>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_f_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate of the f gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_f_calculation_eq">
<apply id="beta_f_calculation"><eq />
<ci> beta_f </ci>
<apply><divide />
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> f_infinity </ci>
</apply>
<ci> tau_f </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#df_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the f gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="df_dt_eq">
<apply id="df_dt"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> f </ci>
</apply>
<apply><minus />
<apply><times />
<ci> alpha_f </ci>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> f </ci>
</apply>
</apply>
<apply><times />
<ci> beta_f </ci>
<ci> f </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="L_type_Ca_channel_f_Ca_gate"
cmeta:id="L_type_Ca_channel_f_Ca_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#L_type_Ca_channel_f_Ca_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The calcium-dependent inactivation gate for the L-type calcium
channel - the fCa gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="f_Ca" public_interface="out" units="dimensionless" />
<variable name="Km_Ca" initial_value="0.6e-3" units="mM" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<variable name="Cai" public_interface="in" units="mM" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#f_Ca_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the fCa gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="f_Ca_calculation_eq">
<apply id="f_Ca_calculation"><eq />
<ci> f_Ca </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><power />
<apply><divide />
<ci> Cai </ci>
<ci> Km_Ca </ci>
</apply>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_dependent_potassium_current"
cmeta:id="time_dependent_potassium_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#time_dependent_potassium_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The time-dependent potassium reploarisation current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_K" public_interface="out" units="uA_per_mm2" />
<variable name="g_K_max" initial_value="2.82e-3" units="mS_per_mm2" />
<variable name="g_K" units="mS_per_mm2" />
<variable name="E_K" units="mV" />
<variable name="PR_NaK" initial_value="0.01833" units="dimensionless" />
<variable
name="time" public_interface="in"
private_interface="out" units="ms" />
<variable
name="V" public_interface="in"
private_interface="out" units="mV" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="Ko" public_interface="in" units="mM" />
<variable name="Ki" public_interface="in" units="mM" />
<variable name="Nao" public_interface="in" units="mM" />
<variable name="Nai" public_interface="in" units="mM" />
<variable name="X" private_interface="in" units="dimensionless" />
<variable name="Xi" private_interface="in" units="dimensionless" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#g_K_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The conductance for the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="g_K_calculation_eq">
<apply id="g_K_calculation"><eq />
<ci> g_K </ci>
<apply><times />
<ci>g_K_max</ci>
<apply><root />
<apply><divide />
<ci> Ko </ci>
<cn cellml:units="mM"> 5.4 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#E_K_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The reversal potential of the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="E_K_calculation_eq">
<apply id="E_K_calculation"><eq />
<ci> E_K </ci>
<apply><times />
<apply><divide />
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply><ln />
<apply><divide />
<apply><plus />
<ci> Ko </ci>
<apply><times />
<ci> PR_NaK </ci>
<ci> Nao </ci>
</apply>
</apply>
<apply><plus />
<ci> Ki </ci>
<apply><times />
<ci> PR_NaK </ci>
<ci> Nai </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_K_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_K_calculation_eq">
<apply id="i_K_calculation"><eq />
<ci> i_K </ci>
<apply><times />
<ci> g_K </ci>
<apply><power />
<ci> X </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<ci> Xi </ci>
<apply><minus />
<ci> V </ci>
<ci> E_K </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_dependent_potassium_current_X_gate"
cmeta:id="time_dependent_potassium_current_X_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#time_dependent_potassium_current_X_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The time-dependent activation gate for the time-dependent potassium
current - the X gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="X" initial_value="0.0" public_interface="out" units="dimensionless" />
<variable name="alpha_X" units="per_ms" />
<variable name="beta_X" units="per_ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_X_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate for the X gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_X_calculation_eq">
<apply id="alpha_X_calculation"><eq />
<ci> alpha_X </ci>
<apply><divide />
<apply><times />
<cn cellml:units="per_mV_ms"> 0.0000719 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 30.0 </cn>
</apply>
</apply>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="dimensionless"> -0.148 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 30.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_X_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate for the X gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_X_calculation_eq">
<apply id="beta_X_calculation"><eq />
<ci> beta_X </ci>
<apply><divide />
<apply><times />
<cn cellml:units="per_mV_ms"> 0.000131 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 30.0 </cn>
</apply>
</apply>
<apply><plus />
<cn cellml:units="dimensionless"> -1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="dimensionless"> 0.0687 </cn>
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 30.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#dX_dt_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the X gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="dX_dt_eq">
<apply id="dX_dt"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> X </ci>
</apply>
<apply><minus />
<apply><times />
<ci> alpha_X </ci>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> X </ci>
</apply>
</apply>
<apply><times />
<ci> beta_X </ci>
<ci> X </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_dependent_potassium_current_Xi_gate"
cmeta:id="time_dependent_potassium_current_Xi_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#time_dependent_potassium_current_Xi_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The time-independent inactivation gate for the time-dependent
potassium current - the Xi gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="Xi" public_interface="out" units="dimensionless" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#Xi_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The kinetics of the Xi gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="Xi_calculation_eq">
<apply id="Xi_calculation"><eq />
<ci> Xi </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><divide />
<apply><minus />
<ci> V </ci>
<cn cellml:units="mV"> 56.26 </cn>
</apply>
<cn cellml:units="mV"> 32.1 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current"
cmeta:id="time_independent_potassium_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#time_independent_potassium_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The time-independent potassium repolarisation current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_K1" public_interface="out" units="uA_per_mm2" />
<variable
name="E_K1" public_interface="out"
private_interface="out" units="mV" />
<variable name="g_K1_max" initial_value="7.5e-3" units="mS_per_mm2" />
<variable name="g_K1" units="mS_per_mm2" />
<variable
name="time" public_interface="in"
private_interface="out" units="ms" />
<variable
name="V" public_interface="in"
private_interface="out" units="mV" />
<variable name="Ko" public_interface="in" units="mM" />
<variable name="Ki" public_interface="in" units="mM" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="K1_infinity" private_interface="in" units="dimensionless" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#g_K1_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the channel conductance.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="g_K1_calculation_eq">
<apply id="g_K1_calculation"><eq />
<ci> g_K1 </ci>
<apply><times />
<ci>g_K1_max</ci>
<apply><root />
<apply><divide />
<ci> Ko </ci>
<cn cellml:units="mM"> 5.4 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#E_K1_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the channel reversal potential.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="E_K1_calculation_eq">
<apply id="E_K1_calculation"><eq />
<ci> E_K1 </ci>
<apply><times />
<apply><divide />
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
<ci> F </ci>
</apply>
<apply><ln />
<apply><divide />
<ci> Ko </ci>
<ci> Ki </ci>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_K1_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the channel current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_K1_calculation_eq">
<apply id="i_K1_calculation"><eq />
<ci> i_K1 </ci>
<apply><times />
<ci> g_K1 </ci>
<ci> K1_infinity </ci>
<apply><minus />
<ci> V </ci>
<ci> E_K1 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="time_independent_potassium_current_K1_gate"
cmeta:id="time_independent_potassium_current_K1_gate">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#time_independent_potassium_current_K1_gate">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The gating variable for the time-independent potassium current - the
K1 gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="K1_infinity" public_interface="out" units="dimensionless" />
<variable name="alpha_K1" units="per_ms" />
<variable name="beta_K1" units="per_ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<variable name="E_K1" public_interface="in" units="mV" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#alpha_K1_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The opening rate for the K1 gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="alpha_K1_calculation_eq">
<apply id="alpha_K1_calculation"><eq />
<ci> alpha_K1 </ci>
<apply><divide />
<cn cellml:units="per_ms"> 1.02 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> 0.2385 </cn>
<apply><minus />
<apply><minus />
<ci> V </ci>
<ci> E_K1 </ci>
</apply>
<cn cellml:units="mV"> 59.215 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#beta_K1_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The closing rate for the K1 gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="beta_K1_calculation_eq">
<apply id="beta_K1_calculation"><eq />
<ci> beta_K1 </ci>
<apply><divide />
<apply><plus />
<apply><times />
<cn cellml:units="per_ms"> 0.49124 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="dimensionless"> 0.08032 </cn>
<apply><minus />
<apply><plus />
<ci> V </ci>
<cn cellml:units="mV"> 5.476 </cn>
</apply>
<ci> E_K1 </ci>
</apply>
</apply>
</apply>
</apply>
<apply><exp />
<apply><times />
<cn cellml:units="dimensionless"> 0.06175 </cn>
<apply><minus />
<ci> V </ci>
<apply><plus />
<ci> E_K1 </ci>
<cn cellml:units="mV"> 594.31 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="per_mV"> -0.5143 </cn>
<apply><plus/>
<apply><minus />
<ci> V </ci>
<ci> E_K1 </ci>
</apply>
<cn cellml:units="mV"> 4.753 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#K1_infinity_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The steady-state kinetics of the K1 gate.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="K1_infinity_calculation_eq">
<apply id="K1_infinity_calculation"><eq />
<ci> K1_infinity </ci>
<apply><divide />
<ci> alpha_K1 </ci>
<apply><plus />
<ci> alpha_K1 </ci>
<ci> beta_K1 </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="plateau_potassium_current"
cmeta:id="plateau_potassium_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#plateau_potassium_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The potassium current active at plateau potentials.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_Kp" public_interface="out" units="uA_per_mm2" />
<variable name="E_Kp" units="mV" />
<variable name="g_Kp" initial_value="1.83e-4" units="mS_per_mm2" />
<variable name="Kp" units="dimensionless" />
<variable name="time" public_interface="in" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="E_K1" public_interface="in" units="mV" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#E_Kp_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The reversal potential for the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="E_Kp_calculation_eq">
<apply id="E_Kp_calculation"><eq />
<ci> E_Kp </ci>
<ci> E_K1 </ci>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#Kp_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The gating kinetics for the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="Kp_calculation_eq">
<apply id="Kp_calculation"><eq />
<ci> Kp </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><divide />
<apply><minus />
<cn cellml:units="mV"> 7.488 </cn>
<ci> V </ci>
</apply>
<cn cellml:units="mV"> 5.98 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_Kp_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_Kp_calculation_eq">
<apply id="i_Kp_calculation"><eq />
<ci> i_Kp </ci>
<apply><times />
<ci> g_Kp </ci>
<ci> Kp </ci>
<apply><minus />
<ci> V </ci>
<ci> E_Kp </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sarcolemmal_calcium_pump"
cmeta:id="sarcolemmal_calcium_pump">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#sarcolemmal_calcium_pump">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
A calcium pump for removal of calcium from the cytosol to the
extracellular space.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_p_Ca" public_interface="out" units="uA_per_mm2" />
<variable name="K_mpCa" initial_value="0.5e-3" units="mM" />
<variable name="I_pCa" initial_value="1.15e-2" units="uA_per_mm2" />
<variable name="time" public_interface="in" units="ms" />
<variable name="Cai" public_interface="in" units="mM" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_p_Ca_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The calcium pump current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_p_Ca_calculation_eq">
<apply id="i_p_Ca_calculation"><eq />
<ci> i_p_Ca </ci>
<apply><times />
<ci> I_pCa </ci>
<apply><divide />
<ci> Cai </ci>
<apply><plus />
<ci> K_mpCa </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_background_current"
cmeta:id="sodium_background_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#sodium_background_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The background sodium current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_Na_b" public_interface="out" units="uA_per_mm2" />
<variable name="g_Nab" initial_value="1.41e-5" units="mS_per_mm2" />
<variable name="E_NaN" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="E_Na" public_interface="in" units="mV" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#E_NaN_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The reversal potential for the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="E_NaN_calculation_eq">
<apply id="E_NaN_calculation"><eq />
<ci> E_NaN </ci>
<ci> E_Na </ci>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_Na_b_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_Na_b_calculation_eq">
<apply id="i_Na_b_calculation"><eq />
<ci> i_Na_b </ci>
<apply><times />
<ci> g_Nab </ci>
<apply><minus />
<ci> V </ci>
<ci> E_NaN </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_background_current"
cmeta:id="calcium_background_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#calcium_background_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The background calcium current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_Ca_b" public_interface="out" units="uA_per_mm2" />
<variable name="g_Cab" initial_value="3.016e-5" units="mS_per_mm2" />
<variable name="E_CaN" units="mV" />
<variable name="time" public_interface="in" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="Cai" public_interface="in" units="mM" />
<variable name="Cao" public_interface="in" units="mM" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#E_CaN_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The reversal potential for the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="E_CaN_calculation_eq">
<apply id="E_CaN_calculation"><eq />
<ci> E_CaN </ci>
<apply><times />
<apply><divide />
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
<apply><times />
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> F </ci>
</apply>
</apply>
<apply><ln />
<apply><divide />
<ci> Cao </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_Ca_b_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_Ca_b_calculation_eq">
<apply id="i_Ca_b_calculation"><eq />
<ci> i_Ca_b </ci>
<apply><times />
<ci> g_Cab </ci>
<apply><minus />
<ci> V </ci>
<ci> E_CaN </ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="sodium_potassium_pump" cmeta:id="sodium_potassium_pump">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#sodium_potassium_pump">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The sodium/potassium exchanger current which extrudes three sodium
ions from the cell in exchange for two potassium ions entering the
cell.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_NaK" public_interface="out" units="uA_per_mm2" />
<variable name="I_NaK" initial_value="1.5e-2" units="uA_per_mm2" />
<variable name="f_NaK" units="dimensionless" />
<variable name="K_mNai" initial_value="10.0" units="mM" />
<variable name="K_mKo" initial_value="1.5" units="mM" />
<variable name="sigma" units="dimensionless" />
<variable name="time" public_interface="in" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="Nai" public_interface="in" units="mM" />
<variable name="Nao" public_interface="in" units="mM" />
<variable name="Ko" public_interface="in" units="mM" />
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="f_NaK_calculation"><eq />
<ci> f_NaK </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times />
<cn cellml:units="dimensionless"> 0.1245 </cn>
<apply><exp />
<apply><times />
<cn cellml:units="dimensionless"> -0.1 </cn>
<apply><divide />
<apply><times />
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><times />
<cn cellml:units="dimensionless"> 0.0365 </cn>
<ci> sigma </ci>
<apply><exp />
<apply><minus />
<apply><divide />
<apply><times />
<ci> V </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="sigma_calculation"><eq />
<ci> sigma </ci>
<apply><times />
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 7.0 </cn>
</apply>
<apply><minus />
<apply><exp />
<apply><divide />
<ci> Nao </ci>
<cn cellml:units="dimensionless"> 67.3 </cn>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_NaK_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the exchanger current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_NaK_calculation_eq">
<apply id="i_NaK_calculation"><eq />
<ci> i_NaK </ci>
<apply><times />
<ci> I_NaK </ci>
<ci> f_NaK </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><power />
<apply><divide />
<ci> K_mNai </ci>
<ci> Nai </ci>
</apply>
<cn cellml:units="dimensionless"> 1.5 </cn>
</apply>
</apply>
</apply>
<apply><divide />
<ci> Ko </ci>
<apply><plus />
<ci> Ko </ci>
<ci> K_mKo </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="non_specific_calcium_activated_current"
cmeta:id="non_specific_calcium_activated_current">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#non_specific_calcium_activated_current">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
A non-specific calcium activated channel - assumed impermeable to
calcium ions but permeable to sodium and potassium ions.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_ns_Ca" public_interface="out" units="uA_per_mm2" />
<variable name="i_ns_Na" public_interface="out" units="uA_per_mm2" />
<variable name="i_ns_K" public_interface="out" units="uA_per_mm2" />
<variable name="P_ns_Ca" initial_value="1.75e-9" units="mm_per_ms" />
<variable name="gamma_Nai" public_interface="in" units="dimensionless" />
<variable name="gamma_Nao" public_interface="in" units="dimensionless" />
<variable name="gamma_Ki" public_interface="in" units="dimensionless" />
<variable name="gamma_Ko" public_interface="in" units="dimensionless" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="Cao" public_interface="in" units="mM" />
<variable name="Nao" public_interface="in" units="mM" />
<variable name="Ko" public_interface="in" units="mM" />
<variable name="Nai" public_interface="in" units="mM" />
<variable name="Ki" public_interface="in" units="mM" />
<variable name="I_ns_Na" units="uA_per_mm2" />
<variable name="I_ns_K" units="uA_per_mm2" />
<variable name="K_m_ns_Ca" initial_value="1.2e-3" units="mM" />
<variable name="time" public_interface="in" units="ms" />
<variable name="Cai" public_interface="in" units="mM" />
<variable name="V" public_interface="in" units="mV" />
<variable name="Vns" units="mV" />
<variable name="EnsCa" units="mV" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#EnsCa_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The channel reversal potential.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="EnsCa_calculation_eq">
<apply id="EnsCa_calculation"><eq />
<ci> EnsCa </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>Ko</ci>
<ci>Nao</ci>
</apply>
<apply><plus/>
<ci>Ki</ci>
<ci>Nai</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="Vns_calculation_eq">
<apply id="Vns_calculation"><eq />
<ci>Vns</ci>
<apply><minus/>
<ci>V</ci>
<ci>EnsCa</ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_ns_Na_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The sodium component of the channel's current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_ns_Na_calculation_eq">
<apply id="i_ns_Na_calculation"><eq />
<ci> i_ns_Na </ci>
<apply><times />
<ci> I_ns_Na </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><power />
<apply><divide />
<ci> K_m_ns_Ca </ci>
<ci> Cai </ci>
</apply>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_ns_K_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The potassium component of the channel's current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_ns_K_calculation_eq">
<apply id="i_ns_K_calculation"><eq />
<ci> i_ns_K </ci>
<apply><times />
<ci> I_ns_K </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><power />
<apply><divide />
<ci> K_m_ns_Ca </ci>
<ci> Cai </ci>
</apply>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_ns_Ca_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The total current through the channel.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_ns_Ca_calculation_eq">
<apply id="i_ns_Ca_calculation"><eq />
<ci> i_ns_Ca </ci>
<apply><plus />
<ci> i_ns_Na </ci>
<ci> i_ns_K </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#I_ns_Na_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The maximum sodium component of the channel's current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="I_ns_Na_calculation_eq">
<apply id="I_ns_Na_calculation"><eq />
<ci> I_ns_Na </ci>
<apply><times />
<ci> P_ns_Ca </ci>
<apply><power />
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply><divide />
<apply><times />
<ci> Vns </ci>
<apply><power />
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply><divide />
<apply><minus />
<apply><times />
<ci> gamma_Nai </ci>
<ci> Nai </ci>
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> Vns </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply><times />
<ci> gamma_Nao </ci>
<ci> Nao </ci>
</apply>
</apply>
<apply><minus />
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> Vns </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#I_ns_K_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The maximum potassium component of the channel's current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="I_ns_K_calculation_eq">
<apply id="I_ns_K_calculation"><eq />
<ci> I_ns_K </ci>
<apply><times />
<ci> P_ns_Ca </ci>
<apply><power />
<cn cellml:units="dimensionless"> 1.0 </cn>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
<apply><divide />
<apply><times />
<ci> Vns </ci>
<apply><power />
<ci> F </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
<apply><divide />
<apply><minus />
<apply><times />
<ci> gamma_Ki </ci>
<ci> Ki </ci>
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> Vns </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply><times />
<ci> gamma_Ko </ci>
<ci> Ko </ci>
</apply>
</apply>
<apply><minus />
<apply><exp />
<apply><divide />
<apply><times />
<cn cellml:units="dimensionless"> 1.0 </cn>
<ci> Vns </ci>
<ci> F </ci>
</apply>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Na_Ca_exchanger" cmeta:id="Na_Ca_exchanger">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#Na_Ca_exchanger">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The sodium-calcium exchanger current, exchanges three sodium ions
for one calcium ion.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_NaCa" public_interface="out" units="uA_per_mm2" />
<variable name="K_NaCa" initial_value="20.0" units="uA_per_mm2" />
<variable name="K_mNa" initial_value="87.5" units="mM" />
<variable name="K_mCa" initial_value="1.38" units="mM" />
<variable name="K_sat" initial_value="0.1" units="dimensionless" />
<variable name="eta" initial_value="0.35" units="dimensionless" />
<variable name="time" public_interface="in" units="ms" />
<variable name="V" public_interface="in" units="mV" />
<variable name="R" public_interface="in" units="gas_constant_units" />
<variable name="T" public_interface="in" units="kelvin" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="Nai" public_interface="in" units="mM" />
<variable name="Nao" public_interface="in" units="mM" />
<variable name="Cai" public_interface="in" units="mM" />
<variable name="Cao" public_interface="in" units="mM" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#Na_Ca_exchanger_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the exchanger current.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="Na_Ca_exchanger_eq">
<apply id="Na_Ca_exchanger"><eq />
<ci> i_NaCa </ci>
<apply><times />
<ci> K_NaCa </ci>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<apply><power />
<ci> K_mNa </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<apply><power />
<ci> Nao </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<ci> K_mCa </ci>
<ci> Cao </ci>
</apply>
</apply>
<apply><divide />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><plus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><times />
<ci> K_sat </ci>
<apply><exp />
<apply><times />
<apply><minus />
<ci> eta </ci>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
<ci> V </ci>
<apply><divide />
<ci> F </ci>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><minus />
<apply><times />
<apply><exp />
<apply><times />
<ci> eta </ci>
<ci> V </ci>
<apply><divide />
<ci> F </ci>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply><power />
<ci> Nai </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> Cao </ci>
</apply>
<apply><times />
<apply><exp />
<apply><times />
<apply><minus />
<ci> eta </ci>
<cn cellml:units="dimensionless"> 1.0 </cn>
</apply>
<ci> V </ci>
<apply><divide />
<ci> F </ci>
<apply><times />
<ci> R </ci>
<ci> T </ci>
</apply>
</apply>
</apply>
</apply>
<apply><power />
<ci> Nao </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="calcium_fluxes_in_the_SR" cmeta:id="calcium_fluxes_in_the_SR">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#calcium_fluxes_in_the_SR">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The various calcium fluxes into and from the sarcoplasmic reticulum.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="i_rel" public_interface="out" units="mM_per_ms" />
<variable name="i_up" public_interface="out" units="mM_per_ms" />
<variable name="i_leak" public_interface="out" units="mM_per_ms" />
<variable name="i_tr" public_interface="out" units="mM_per_ms" />
<variable name="G_rel" units="per_ms" />
<variable name="G_rel_peak" units="per_ms" />
<variable name="G_rel_max" initial_value="60.0" units="per_ms" />
<variable name="tau_on" initial_value="2.0" units="ms" />
<variable name="tau_off" initial_value="2.0" units="ms" />
<variable name="t_CICR" initial_value="0.0" units="ms" />
<variable name="tau_tr" initial_value="180.0" units="ms" />
<variable name="K_mrel" initial_value="0.8e-3" units="mM" />
<variable name="K_mup" initial_value="0.92e-3" units="mM" />
<variable name="K_leak" units="per_ms" />
<variable name="I_up" initial_value="0.005" units="mM_per_ms" />
<variable name="Ca_NSR_max" initial_value="15.0" units="mM" />
<variable name="delta_Ca_i2" initial_value="0.0" units="mM" />
<variable name="delta_Ca_ith" initial_value="0.18e-3" units="mM" />
<variable name="time" public_interface="in" units="ms" />
<variable name="Cai" public_interface="in" units="mM" />
<variable name="Ca_JSR" public_interface="in" units="mM" />
<variable name="Ca_NSR" public_interface="in" units="mM" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_rel_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The release flux from the junctional sarcoplasmic reticulum into the
cytosol.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_rel_calculation_eq">
<apply id="i_rel_calculation"><eq />
<ci> i_rel </ci>
<apply><times />
<ci> G_rel </ci>
<apply><minus />
<ci> Ca_JSR </ci>
<ci> Cai </ci>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#G_rel_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calculation of the release channel conductance. This is incorrect as
there is no CICR induced via the accumulation of calcium in the
cytosol in the period following max(dV/dt)
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="G_rel_calculation_eq">
<apply id="G_rel_calculation"><eq />
<ci> G_rel </ci>
<apply><times />
<ci> G_rel_peak </ci>
<apply><divide />
<apply><minus />
<ci> delta_Ca_i2 </ci>
<ci> delta_Ca_ith </ci>
</apply>
<apply><minus />
<apply><plus />
<ci> K_mrel </ci>
<ci> delta_Ca_i2 </ci>
</apply>
<ci> delta_Ca_ith </ci>
</apply>
</apply>
<apply><minus />
<cn cellml:units="dimensionless"> 1.0 </cn>
<apply><exp />
<apply><minus />
<apply><divide />
<ci> t_CICR </ci>
<ci> tau_on </ci>
</apply>
</apply>
</apply>
</apply>
<apply><exp />
<apply><minus />
<apply><divide />
<ci> t_CICR </ci>
<ci> tau_off </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="G_rel_peak_calculation_eq">
<apply id="G_rel_peak_calculation"><eq />
<ci> G_rel_peak </ci>
<piecewise>
<piece>
<cn cellml:units="per_ms"> 0.0 </cn>
<apply><lt />
<ci> delta_Ca_i2 </ci>
<ci> delta_Ca_ith </ci>
</apply>
</piece>
<otherwise>
<ci> G_rel_max </ci>
</otherwise>
</piecewise>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_up_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The uptake flux into the sarcoplasmic reticulum from the cytosol.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_up_calculation_eq">
<apply id="i_up_calculation"><eq />
<ci> i_up </ci>
<apply><times />
<ci> I_up </ci>
<apply><divide />
<ci> Cai </ci>
<apply><plus />
<ci> Cai </ci>
<ci> K_mup </ci>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_leak_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Calcium leak flux from the network sarcoplasmic reticulum into the
cytosol.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_leak_calculation_eq">
<apply id="i_leak_calcualtion"><eq />
<ci> i_leak </ci>
<apply><times />
<ci> K_leak </ci>
<ci> Ca_NSR </ci>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="K_leak_calculation_eq">
<apply id="K_leak_calculation"><eq />
<ci> K_leak </ci>
<apply><divide />
<ci> I_up </ci>
<ci> Ca_NSR_max </ci>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#i_tr_calculation_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Translocation flux from the network to the junctional sarcoplasmic
reticulum.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="i_tr_calculation_eq">
<apply id="i_tr_calculation"><eq />
<ci> i_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="ionic_concentrations" cmeta:id="ionic_concentrations">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#ionic_concentrations">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
Component grouping together the differential equations for the
various ionic concentrations that the model tracks.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<variable name="Nai" public_interface="out" initial_value="10.0" units="mM" />
<variable name="Nao" public_interface="out" initial_value="140.0" units="mM" />
<variable name="Cai" public_interface="out" initial_value="0.12e-3" units="mM" />
<variable name="Cao" public_interface="out" initial_value="1.8" units="mM" />
<variable name="Ki" public_interface="out" initial_value="145.0" units="mM" />
<variable name="Ko" public_interface="out" initial_value="5.4" units="mM" />
<variable name="Ca_JSR" public_interface="out" initial_value="1.8" units="mM" />
<variable name="Ca_NSR" public_interface="out" initial_value="1.8" units="mM" />
<variable name="Am" public_interface="in" units="per_mm" />
<!-- volume fractions -->
<variable name="V_myo" initial_value="0.68" units="dimensionless" />
<variable name="V_JSR" initial_value="0.0048" units="dimensionless" />
<variable name="V_NSR" initial_value="0.0552" units="dimensionless" />
<variable name="time" public_interface="in" units="ms" />
<variable name="F" public_interface="in" units="faradays_constant_units" />
<variable name="i_Na" public_interface="in" units="uA_per_mm2" />
<variable name="i_CaNa" public_interface="in" units="uA_per_mm2" />
<variable name="i_Na_b" public_interface="in" units="uA_per_mm2" />
<variable name="i_ns_Na" public_interface="in" units="uA_per_mm2" />
<variable name="i_NaCa" public_interface="in" units="uA_per_mm2" />
<variable name="i_NaK" public_interface="in" units="uA_per_mm2" />
<variable name="i_CaCa" public_interface="in" units="uA_per_mm2" />
<variable name="i_CaK" public_interface="in" units="uA_per_mm2" />
<variable name="i_p_Ca" public_interface="in" units="uA_per_mm2" />
<variable name="i_Ca_b" public_interface="in" units="uA_per_mm2" />
<variable name="i_K" public_interface="in" units="uA_per_mm2" />
<variable name="i_K1" public_interface="in" units="uA_per_mm2" />
<variable name="i_Kp" public_interface="in" units="uA_per_mm2" />
<variable name="i_ns_K" public_interface="in" units="uA_per_mm2" />
<variable name="i_tr" public_interface="in" units="mM_per_ms" />
<variable name="i_rel" public_interface="in" units="mM_per_ms" />
<variable name="i_leak" public_interface="in" units="mM_per_ms" />
<variable name="i_up" public_interface="in" units="mM_per_ms" />
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#sodium_diff_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The change in intracellular sodium concentration.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="sodium_diff_eq">
<apply id="sodium_diff_eq"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> Nai </ci>
</apply>
<apply><times />
<apply><minus />
<apply><plus />
<ci> i_Na </ci>
<ci> i_CaNa </ci>
<ci> i_Na_b </ci>
<ci> i_ns_Na </ci>
<apply><times />
<ci> i_NaCa </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
<apply><times />
<ci> i_NaK </ci>
<cn cellml:units="dimensionless"> 3.0 </cn>
</apply>
</apply>
</apply>
<apply><divide />
<ci> Am </ci>
<apply><times />
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#calcium_internal_diff_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The change in intracellular calcium concentration.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="calcium_internal_diff_eq">
<apply id="calcium_internal_diff_eq"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> Cai </ci>
</apply>
<apply><plus />
<apply><times />
<apply><minus/>
<apply><minus />
<apply><plus />
<ci> i_CaCa </ci>
<ci> i_p_Ca </ci>
<ci> i_Ca_b </ci>
</apply>
<ci> i_NaCa </ci>
</apply>
</apply>
<apply><divide />
<ci> Am </ci>
<apply><times />
<cn cellml:units="dimensionless"> 2.0 </cn>
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
<apply><times />
<ci> i_rel </ci>
<apply><divide />
<ci> V_JSR </ci>
<ci> V_myo </ci>
</apply>
</apply>
<apply><times />
<apply><minus />
<ci> i_leak </ci>
<ci> i_up </ci>
</apply>
<apply><divide />
<ci> V_NSR </ci>
<ci> V_myo </ci>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#potassium_internal_diff_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The change in intracellular potassium concentration.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="potassium_internal_diff_eq">
<apply id="potassium_internal_diff_eq"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> Ki </ci>
</apply>
<apply><times />
<apply><minus />
<apply><plus />
<ci> i_CaK </ci>
<ci> i_K </ci>
<ci> i_K1 </ci>
<ci> i_Kp </ci>
<ci> i_ns_K </ci>
<apply><minus />
<apply><times />
<ci> i_NaK </ci>
<cn cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
<apply><divide />
<ci> Am </ci>
<apply><times />
<ci> V_myo </ci>
<ci> F </ci>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#calcium_JSR_diff_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The change in calcium concentration in the junctional sarcoplasmic
reticulum.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="calcium_JSR_diff_eq">
<apply id="calcium_JSR_diff_eq"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> Ca_JSR </ci>
</apply>
<apply><minus />
<apply><minus />
<ci> i_rel </ci>
<apply><times />
<ci> i_tr </ci>
<apply><divide />
<ci> V_NSR </ci>
<ci> V_JSR </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#calcium_NSR_diff_eq">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
The change in calcium concentration in the network sarcoplasmic
reticulum.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<math xmlns="http://www.w3.org/1998/Math/MathML"
cmeta:id="calcium_NSR_diff_eq">
<apply id="calcium_NSR_diff_eq"><eq />
<apply><diff />
<bvar><ci> time </ci></bvar>
<ci> Ca_NSR </ci>
</apply>
<apply><minus />
<apply><minus />
<apply><plus />
<ci> i_leak </ci>
<ci> i_tr </ci>
</apply>
<ci> i_up </ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="containment" />
<component_ref component="membrane">
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate" />
<component_ref component="fast_sodium_current_h_gate" />
<component_ref component="fast_sodium_current_j_gate" />
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate" />
<component_ref component="L_type_Ca_channel_f_gate" />
<component_ref component="L_type_Ca_channel_f_Ca_gate" />
</component_ref>
<component_ref component="time_dependent_potassium_current">
<component_ref component="time_dependent_potassium_current_X_gate" />
<component_ref component="time_dependent_potassium_current_Xi_gate" />
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate" />
</component_ref>
<component_ref component="Na_Ca_exchanger" />
<component_ref component="plateau_potassium_current" />
<component_ref component="sarcolemmal_calcium_pump" />
<component_ref component="sodium_background_current" />
<component_ref component="calcium_background_current" />
<component_ref component="sodium_potassium_pump" />
<component_ref component="non_specific_calcium_activated_current" />
<component_ref component="ionic_concentrations" />
<component_ref component="calcium_fluxes_in_the_SR" />
</component_ref>
</group>
<group>
<relationship_ref relationship="encapsulation" />
<component_ref component="fast_sodium_current">
<component_ref component="fast_sodium_current_m_gate" />
<component_ref component="fast_sodium_current_h_gate" />
<component_ref component="fast_sodium_current_j_gate" />
</component_ref>
<component_ref component="L_type_Ca_channel">
<component_ref component="L_type_Ca_channel_d_gate" />
<component_ref component="L_type_Ca_channel_f_gate" />
<component_ref component="L_type_Ca_channel_f_Ca_gate" />
</component_ref>
<component_ref component="time_dependent_potassium_current">
<component_ref component="time_dependent_potassium_current_X_gate" />
<component_ref component="time_dependent_potassium_current_Xi_gate" />
</component_ref>
<component_ref component="time_independent_potassium_current">
<component_ref component="time_independent_potassium_current_K1_gate" />
</component_ref>
</group>
<connection>
<map_components
component_1="membrane" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="fast_sodium_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="L_type_Ca_channel" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="time_dependent_potassium_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="time_independent_potassium_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="Na_Ca_exchanger" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="plateau_potassium_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="sarcolemmal_calcium_pump" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="sodium_background_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="calcium_background_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="sodium_potassium_pump" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="non_specific_calcium_activated_current" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="ionic_concentrations" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="calcium_fluxes_in_the_SR" component_2="environment" />
<map_variables variable_1="time" variable_2="time" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="fast_sodium_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_Na" variable_2="i_Na" />
<map_variables variable_1="R" variable_2="R" />
<map_variables variable_1="T" variable_2="T" />
<map_variables variable_1="F" variable_2="F" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="L_type_Ca_channel" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_Ca_L" variable_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" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="time_dependent_potassium_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_K" variable_2="i_K" />
<map_variables variable_1="R" variable_2="R" />
<map_variables variable_1="T" variable_2="T" />
<map_variables variable_1="F" variable_2="F" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="Na_Ca_exchanger" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_NaCa" variable_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" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="time_independent_potassium_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_K1" variable_2="i_K1" />
<map_variables variable_1="R" variable_2="R" />
<map_variables variable_1="T" variable_2="T" />
<map_variables variable_1="F" variable_2="F" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="plateau_potassium_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_Kp" variable_2="i_Kp" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="sarcolemmal_calcium_pump" />
<map_variables variable_1="i_p_Ca" variable_2="i_p_Ca" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="sodium_background_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_Na_b" variable_2="i_Na_b" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="calcium_background_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_Ca_b" variable_2="i_Ca_b" />
<map_variables variable_1="R" variable_2="R" />
<map_variables variable_1="T" variable_2="T" />
<map_variables variable_1="F" variable_2="F" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="sodium_potassium_pump" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="i_NaK" variable_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" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="non_specific_calcium_activated_current" />
<map_variables variable_1="V" variable_2="V" />
<map_variables variable_1="R" variable_2="R" />
<map_variables variable_1="T" variable_2="T" />
<map_variables variable_1="F" variable_2="F" />
<map_variables variable_1="i_ns_Ca" variable_2="i_ns_Ca" />
</connection>
<connection>
<map_components
component_1="membrane" component_2="ionic_concentrations" />
<map_variables variable_1="F" variable_2="F" />
<map_variables variable_1="Am" variable_2="Am" />
</connection>
<connection>
<map_components
component_1="fast_sodium_current" component_2="ionic_concentrations" />
<map_variables variable_1="i_Na" variable_2="i_Na" />
<map_variables variable_1="Nao" variable_2="Nao" />
<map_variables variable_1="Nai" variable_2="Nai" />
</connection>
<connection>
<map_components
component_1="fast_sodium_current" component_2="sodium_background_current" />
<map_variables variable_1="E_Na" variable_2="E_Na" />
</connection>
<connection>
<map_components
component_1="L_type_Ca_channel" component_2="ionic_concentrations" />
<map_variables variable_1="Cai" variable_2="Cai" />
<map_variables variable_1="Cao" variable_2="Cao" />
<map_variables variable_1="Nao" variable_2="Nao" />
<map_variables variable_1="Nai" variable_2="Nai" />
<map_variables variable_1="Ko" variable_2="Ko" />
<map_variables variable_1="Ki" variable_2="Ki" />
<map_variables variable_1="i_CaCa" variable_2="i_CaCa" />
<map_variables variable_1="i_CaNa" variable_2="i_CaNa" />
<map_variables variable_1="i_CaK" variable_2="i_CaK" />
</connection>
<connection>
<map_components
component_1="time_dependent_potassium_current" component_2="ionic_concentrations" />
<map_variables variable_1="Ki" variable_2="Ki" />
<map_variables variable_1="Ko" variable_2="Ko" />
<map_variables variable_1="Nao" variable_2="Nao" />
<map_variables variable_1="Nai" variable_2="Nai" />
<map_variables variable_1="i_K" variable_2="i_K" />
</connection>
<connection>
<map_components
component_1="Na_Ca_exchanger" component_2="ionic_concentrations" />
<map_variables variable_1="Cai" variable_2="Cai" />
<map_variables variable_1="Nai" variable_2="Nai" />
<map_variables variable_1="Cao" variable_2="Cao" />
<map_variables variable_1="Nao" variable_2="Nao" />
<map_variables variable_1="i_NaCa" variable_2="i_NaCa" />
</connection>
<connection>
<map_components
component_1="time_independent_potassium_current" component_2="ionic_concentrations" />
<map_variables variable_1="Ki" variable_2="Ki" />
<map_variables variable_1="Ko" variable_2="Ko" />
<map_variables variable_1="i_K1" variable_2="i_K1" />
</connection>
<connection>
<map_components
component_1="plateau_potassium_current" component_2="time_independent_potassium_current" />
<map_variables variable_1="E_K1" variable_2="E_K1" />
</connection>
<connection>
<map_components
component_1="plateau_potassium_current" component_2="ionic_concentrations" />
<map_variables variable_1="i_Kp" variable_2="i_Kp" />
</connection>
<connection>
<map_components
component_1="sarcolemmal_calcium_pump" component_2="ionic_concentrations" />
<map_variables variable_1="i_p_Ca" variable_2="i_p_Ca" />
<map_variables variable_1="Cai" variable_2="Cai" />
</connection>
<connection>
<map_components
component_1="sodium_background_current" component_2="ionic_concentrations" />
<map_variables variable_1="i_Na_b" variable_2="i_Na_b" />
</connection>
<connection>
<map_components
component_1="calcium_background_current" component_2="ionic_concentrations" />
<map_variables variable_1="Cai" variable_2="Cai" />
<map_variables variable_1="Cao" variable_2="Cao" />
<map_variables variable_1="i_Ca_b" variable_2="i_Ca_b" />
</connection>
<connection>
<map_components
component_1="sodium_potassium_pump" component_2="ionic_concentrations" />
<map_variables variable_1="Nai" variable_2="Nai" />
<map_variables variable_1="Nao" variable_2="Nao" />
<map_variables variable_1="Ko" variable_2="Ko" />
<map_variables variable_1="i_NaK" variable_2="i_NaK" />
</connection>
<connection>
<map_components
component_1="non_specific_calcium_activated_current" component_2="ionic_concentrations" />
<map_variables variable_1="Cai" variable_2="Cai" />
<map_variables variable_1="Cao" variable_2="Cao" />
<map_variables variable_1="Nao" variable_2="Nao" />
<map_variables variable_1="Nai" variable_2="Nai" />
<map_variables variable_1="Ko" variable_2="Ko" />
<map_variables variable_1="Ki" variable_2="Ki" />
<map_variables variable_1="i_ns_Na" variable_2="i_ns_Na" />
<map_variables variable_1="i_ns_K" variable_2="i_ns_K" />
</connection>
<connection>
<map_components
component_1="calcium_fluxes_in_the_SR" component_2="ionic_concentrations" />
<map_variables variable_1="i_rel" variable_2="i_rel" />
<map_variables variable_1="i_tr" variable_2="i_tr" />
<map_variables variable_1="i_leak" variable_2="i_leak" />
<map_variables variable_1="i_up" variable_2="i_up" />
<map_variables variable_1="Cai" variable_2="Cai" />
<map_variables variable_1="Ca_JSR" variable_2="Ca_JSR" />
<map_variables variable_1="Ca_NSR" variable_2="Ca_NSR" />
</connection>
<connection>
<map_components
component_1="L_type_Ca_channel" component_2="non_specific_calcium_activated_current" />
<map_variables variable_1="gamma_Nao" variable_2="gamma_Nao" />
<map_variables variable_1="gamma_Nai" variable_2="gamma_Nai" />
<map_variables variable_1="gamma_Ko" variable_2="gamma_Ko" />
<map_variables variable_1="gamma_Ki" variable_2="gamma_Ki" />
</connection>
<connection>
<map_components
component_1="fast_sodium_current" component_2="fast_sodium_current_m_gate" />
<map_variables variable_1="m" variable_2="m" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="fast_sodium_current" component_2="fast_sodium_current_h_gate" />
<map_variables variable_1="h" variable_2="h" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="fast_sodium_current" component_2="fast_sodium_current_j_gate" />
<map_variables variable_1="j" variable_2="j" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_d_gate" />
<map_variables variable_1="d" variable_2="d" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_gate" />
<map_variables variable_1="f" variable_2="f" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="L_type_Ca_channel" component_2="L_type_Ca_channel_f_Ca_gate" />
<map_variables variable_1="f_Ca" variable_2="f_Ca" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="Cai" variable_2="Cai" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="time_dependent_potassium_current" component_2="time_dependent_potassium_current_X_gate" />
<map_variables variable_1="X" variable_2="X" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="time_dependent_potassium_current" component_2="time_dependent_potassium_current_Xi_gate" />
<map_variables variable_1="Xi" variable_2="Xi" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
<connection>
<map_components
component_1="time_independent_potassium_current" component_2="time_independent_potassium_current_K1_gate" />
<map_variables variable_1="K1_infinity" variable_2="K1_infinity" />
<map_variables variable_1="E_K1" variable_2="E_K1" />
<map_variables variable_1="time" variable_2="time" />
<map_variables variable_1="V" variable_2="V" />
</connection>
</model>
