- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2009-11-17 12:19:23+13:00
- Desc:
- removed links from citation and updated documentation to be consistent with current format.
- Permanent Source URI:
- https://models.cellml.org/workspace/vancapelle_durrer_1980/rawfile/bca066da46fbd7287e74503a5bd6bf42f60ba757/vancapelle_durrer_1980.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : van_capelle_durrer_model_1980.xml
CREATED : 28th December 2001
LAST MODIFIED : 9th April 2003
AUTHOR : Catherine Lloyd
Department of Engineering Science
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/01/2002 CellML Metadata 1.0 Specification.
DESCRIPTION : This file contains a CellML description of van Capelle and
Durrer's 1980 simplified model of cardiac myocytes.
CHANGES:
21/01/2002 - AAC - Updated metadata to conform to the 16/1/02 CellML Metadata
1.0 Specification.
22/07/2002 - CML - Added more metadata.
09/04/2003 - AAC - Added publication date information.
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="vancapelle_durrer_1980_version02" name="vancapelle_durrer_1980_version02">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>The van Capelle-Durrer Simplified Cardiac Myocyte Model</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: Arrhythmias were simulated in sheets or cables, consisting of coupled excitable elements, which were characterized by a simple regenerative mechanism. The geometry of the network, the amount of coupling among individual elements, and the properties of the elements relating to excitability, automaticity, and duration of the refractory period could be adjusted arbitrarily in an interactive computer program. When a critical amount of coupling was present between automatic and non-automatic cells, sustained repetitive activity could be initiated and stopped by stimulation of the elements. Using this mechanism, it also was possible to evoke reciprocal activity in a one-dimensional cable. In uniform sheets of coupled elements, circus movement of the activation front could be evoked. The presence of an obstacle or dispersion of the refractory periods of the elements was not a prerequisite for the initiation of circus movements. The vortex of circus movements in the homogeneous sheets consisted of elements which were inactivated by depolarizing currents from the circulating wavefront. In sheets of sufficient size, multiple vortices could be present.
</para>
<para>
The model created by van Capelle and Durrer (1980) follows the same general form as the <ulink url="http://models.cellml.org/exposure/7430333335941b3b0130d3a3d983d846">The FitzHugh-Nagumo Model, 1961</ulink>, with a single activation variable and a single recovery variable. It also includes the ability to add more complex parameter representations.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
Computer simulation of arrhythmias in a network of coupled excitable elements, van Capelle, F.J.L., Durrer, D., 1980,
<emphasis>Circ. Res.</emphasis>, 47, 454-466. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=7408126&dopt=Abstract">PubMed ID: 7408126</ulink>
</para>
</sect1>
</article>
</documentation>
<!--
Below, we define some additional units for association with variables and
constants within the model. The identifiers are fairly self-explanatory.
-->
<units name="millisecond">
<unit units="second" prefix="milli"/>
</units>
<units name="per_millisecond">
<unit units="second" prefix="milli" exponent="-1"/>
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<units name="millivolt">
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<units name="per_millivolt">
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<units name="microA_per_mm2">
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<!--
The "environment" component is used to declare variables that are used by
all or most of the other components, in this case just "time".
-->
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<component name="membrane">
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<ci> Vm </ci>
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</apply>
</piece>
<piece>
<apply>
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<cn cellml:units="microA_per_mm2"> -0.9884 </cn>
<apply>
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<cn cellml:units="per_millivolt"> 0.0171 </cn>
<apply>
<plus/>
<ci> Vm </ci>
<cn cellml:units="per_millivolt"> 27.8 </cn>
</apply>
</apply>
</apply>
<apply>
<gt/>
<ci> Vm </ci>
<cn cellml:units="millivolt"> -27.8 </cn>
</apply>
</piece>
<otherwise>
<apply>
<plus/>
<apply>
<times/>
<ci> af </ci>
<apply>
<power/>
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<cn cellml:units="dimensionless"> 3.0 </cn>
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<apply>
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<ci> Vm </ci>
</apply>
<ci> df </ci>
</apply>
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</piecewise>
</apply>
</math>
</component>
<connection>
<map_components component_2="environment" component_1="membrane"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<rdf:RDF>
<rdf:Bag rdf:about="rdf:#4862b4d1-0a3b-499c-a1fa-fea1e409ebad">
<rdf:li>Cardiac Myocyte</rdf:li>
<rdf:li>simplified model</rdf:li>
<rdf:li>cardiac myocyte</rdf:li>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>arrythmia</rdf:li>
<rdf:li>cardiac</rdf:li>
<rdf:li>minimal model</rdf:li>
</rdf:Bag>
<rdf:Seq rdf:about="rdf:#citationAuthorsSeq">
<rdf:li rdf:resource="rdf:#author1Vcard"/>
<rdf:li rdf:resource="rdf:#author2Vcard"/>
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<rdf:Description rdf:about="rdf:#6c6847d6-6088-451e-ac80-fda7ce727465">
<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8b1feecd-1bbc-4794-b74f-924380ab7196">
<vCard:FN>Catherine Lloyd</vCard:FN>
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<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Research Group</vCard:Orgunit>
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<rdf:Description rdf:about="rdf:#7380b16d-df01-4801-89d9-2a3f634ce3f3">
<dcterms:W3CDTF>1980-09-01</dcterms:W3CDTF>
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<dc:creator rdf:resource="rdf:#8b1feecd-1bbc-4794-b74f-924380ab7196"/>
<rdf:value>This is the CellML description of the van Capelle-Durrer 1980 simplified model of a cardiac myocyte. It follows the same general form as the FitzHugh-Nagumo model with a single activation variable and a single recovery variable. The model also includes the ability to add more complex parameter representations.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0dc1ba35-f8bc-4029-b13c-c47212d2d9cb">
<dcterms:W3CDTF>2002-07-22</dcterms:W3CDTF>
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<dc:publisher>
The University of Auckland, Bioengineering Research Group
</dc:publisher>
<cmeta:modification rdf:resource="rdf:#a6ff1681-e4e1-44c2-b53d-2ffed66bbf71"/>
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<rdf:value>
Added publication date information.
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<vCard:Given>D</vCard:Given>
<vCard:Family>Durrer</vCard:Family>
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<rdf:Description rdf:about="rdf:#be767b20-b3e9-4115-83c4-9a8b81b1948d">
<dcterms:W3CDTF>2003-04-09</dcterms:W3CDTF>
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<rdf:Description rdf:about="rdf:#e7732613-2857-4596-9edf-02023dc00985">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
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<dcterms:W3CDTF>2001-12-28</dcterms:W3CDTF>
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<dcterms:modified rdf:resource="rdf:#2599c7be-418a-4b8b-8f73-ce1a9624faef"/>
<rdf:value>
Updated metadata to conform to the 16/1/02 CellML Metadata 1.0
Specification.
</rdf:value>
<cmeta:modifier rdf:resource="rdf:#2fc41385-c677-4554-8cce-df55d2020cb8"/>
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<dc:title>Circulation Research</dc:title>
</rdf:Description>
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<dcterms:W3CDTF>2002-01-21</dcterms:W3CDTF>
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<rdf:Description rdf:about="#vancapelle_durrer_1980_version02">
<dc:title>
The van Capelle-Durrer Simplified Model of a Cardiac Myocyte
</dc:title>
<cmeta:bio_entity>Cardiac Myocyte</cmeta:bio_entity>
<cmeta:comment rdf:resource="rdf:#da66cf3f-c58f-4df2-a447-a7eabaafc468"/>
<bqs:reference rdf:resource="rdf:#414c20f6-2666-4f8e-a510-abd852c76a7f"/>
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<dc:creator rdf:resource="rdf:#citationAuthorsSeq"/>
<dc:title>Computer simulation of arrhythmias in a network of coupled excitable elements</dc:title>
<bqs:volume>47</bqs:volume>
<bqs:first_page>454</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#273e640d-2e6f-4a25-aed5-9bd5787affbd"/>
<dcterms:issued rdf:resource="rdf:#7380b16d-df01-4801-89d9-2a3f634ce3f3"/>
<bqs:last_page>466</bqs:last_page>
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<vCard:Given>F</vCard:Given>
<vCard:Family>van Capelle</vCard:Family>
<vCard:Other>J</vCard:Other>
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<rdf:Description rdf:about="rdf:#05522898-a7fe-46d5-b3e3-ddba3da3ffd4">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
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<rdf:Description rdf:about="rdf:#7b2d6089-76d6-4211-a855-0d4391379052">
<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A.</vCard:Other>
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<dcterms:modified rdf:resource="rdf:#0dc1ba35-f8bc-4029-b13c-c47212d2d9cb"/>
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Added more metadata.
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<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
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</model>
