- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2006-09-04 00:02:18+12:00
- Desc:
- committing version01 of hunter_mcnaughton_noble_1975
- Permanent Source URI:
- https://models.cellml.org/workspace/hunter_mcnaughton_noble_1975/rawfile/ac13c053fe2570e11960fc78754370c319aeccad/hunter_mcnaughton_noble_1975.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : hunter_mcnaughton_noble_model_1975.xml
CREATED : 28th December 2001
LAST MODIFIED : 19th July 2002
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 Hunter, McNaughton and
Noble's 1975 simplified polynomial model of cardiac myocytes.
CHANGES:
21/01/2002 - AAC - Updated metadata to conform to the 16/1/02 CellML Metadata
1.0 Specification.
19/07/2002 - CML - Added more metadata.
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>The Polynomial 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>
Often it is not necessary to model the ionic currents of a cell with the accuracy and complexity inherent in the biophysically based models. With a view to investigating phenomena on a larger spatial and temporal scale, several ionic current models have been developed that do not seek to model subcellular processes but only to provide an action potential at a minimal computational cost.
</para>
<para>
The simplest of these models is a polynomial model that just uses one variable. It was developed by Hunter, McNaughton and Noble in 1975 and it is commonly used to track cellular depolarisation. However, it does not attempt to model repolarisation. The lowest order polynomial model is the cubic model which can be extended to use a higher order polynomial. As there is only a single variable, the model is very fast to calculate and therefore it may be used on large geometries.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
Analytical models of propagation in excitable cells, Hunter, P.J., McNaughton, P.A. and Noble, D., 1975, <ulink url="http://www.elsevier.nl/locate/pbiomolbio">
<emphasis>Prog. Biophys. molec. Biol.</emphasis>
</ulink>, 30, 99-144. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=792954&dopt=Abstract">PubMed ID: 792954</ulink>
</para>
<para>
The raw CellML description of the simplified cardiac myocyte models can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>. For an example of a more complete documentation for an electrophysiological model, see <ulink url="${HTML_EXMPL_HHSA_INTRO}">The Hodgkin-Huxley Squid Axon Model, 1952</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.
-->
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<units name="millivolt">
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<unit units="ampere" prefix="micro"/>
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<units name="microF_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".
-->
<component name="environment">
<variable units="millisecond" public_interface="out" name="time"/>
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<component name="membrane">
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</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:#e80e168c-addf-47f3-9cc0-c4163f114db3">
<rdf:li>Cardiac Myocyte</rdf:li>
<rdf:li>electrophysiology</rdf:li>
<rdf:li>simplified model</rdf:li>
</rdf:Bag>
<rdf:Seq rdf:about="rdf:#citationAuthorsSeq">
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<dc:creator rdf:resource="rdf:#citationAuthorsSeq"/>
<dc:title>Analytical models of propagation in excitable cells</dc:title>
<bqs:volume>30</bqs:volume>
<bqs:first_page>99</bqs:first_page>
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<vCard:Given>Catherine</vCard:Given>
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<vCard:Other>May</vCard:Other>
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<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#03b06b4a-555c-48dc-b253-f9b3c68ea4bb">
<dcterms:W3CDTF>2002-07-19</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#author3VcardN">
<vCard:Given>Denis</vCard:Given>
<vCard:Family>Noble</vCard:Family>
</rdf:Description>
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<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Research Group</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#968e8780-f53f-45a0-a2d0-01008cb13d79">
<dcterms:W3CDTF>2002-01-21</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#hunter_mcnaughton_noble_1975_version01">
<dc:title>
The Hunter-McNaughton-Noble Simplified Polynomial Model of Cardiac
Myocytes
</dc:title>
<cmeta:comment rdf:resource="rdf:#e48d5c25-422f-41d0-8a4f-a281b1b989c1"/>
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<dc:title>Progress in Biophysics and Molecular Biology</dc:title>
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<vCard:Given>P</vCard:Given>
<vCard:Family>McNaughton</vCard:Family>
<vCard:Other>A</vCard:Other>
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<dcterms:W3CDTF>1975-01-01</dcterms:W3CDTF>
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<rdf:value>
Updated metadata to conform to the 16/1/02 CellML Metadata 1.0
Specification.
</rdf:value>
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<vCard:Given>Peter</vCard:Given>
<vCard:Family>Hunter</vCard:Family>
<vCard:Other>J</vCard:Other>
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<dcterms:W3CDTF>2001-12-28</dcterms:W3CDTF>
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<vCard:Given>Autumn</vCard:Given>
<vCard:Family>Cuellar</vCard:Family>
<vCard:Other>A.</vCard:Other>
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<dc:publisher>
The University of Auckland, Bioengineering Research Group
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<rdf:value>This is the CellML description of the Hunter-McNaughton-Noble simplified polynomial model of cardiac myocytes. The polynomial model tracks cellular depolarisation but does not attempt to model repolarisation.</rdf:value>
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Added more metadata.
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