Location: Endresen, 1996 @ 8a05a1fd51af / endresen_1996.cellml

Author:

dougalcowan <devnull@localhost>

Date:

2010-02-09 11:31:33+13:00

Desc:

fixed highlighting and IDs

Permanent Source URI:

https://staging.physiomeproject.org/workspace/endresen_1996/rawfile/8a05a1fd51af0378adcfcac968559c168d0325bf/endresen_1996.cellml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xml:base="http://models.cellml.org/workspace/endresen_1996/@@xmlbase/57da3b8aede26952d1b28c5ca2dbe11f9cc5e323//" cmeta:id="endresen_1997" name="endresen_1997">

<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Mathematical modeling and qualitative analysis of insulin therapies</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
        This CellML version of the model has been checked in COR and OpenCell and is known to be valid CellML. The units are consistent and the model runs to recreate the published results.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: A model of the rabbit sinoatrial action potential is introduced, based on a model by Morris and Lecar. One cell is described by two nonlinear first-order ordinary differential equations, with ten constant parameters. The model is much simpler than most other models in use, but can reproduce perfectly experimentally recorded action potentials. The dynamics of two coupled cells, with and without the presence of periodic acetylcholine pulses, shows examples of bifurcations and strange attractors, mathematical phenomena characterizing chaotic motion. It remains to be clarified whether such dynamics is actually observed, for example in the small irregular variations of the normal heart rate.
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>model diagram</title>
    </objectinfo>
    <imagedata fileref="endresen_1996.png"/>
  </imageobject>
</mediaobject>
<caption>Schematic diagram of the cell model</caption>
</informalfigure>

<para>
The original paper reference is cited below:
</para>

<para>
Chaos in weakly-coupled pacemaker cells, Lars Petter Endresen, 1997, <emphasis>Journal of Theoretical Biology</emphasis>, 184, 41-50. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&amp;cmd=Retrieve&amp;dopt=AbstractPlus&amp;list_uids=9039399&amp;query_hl=1&amp;itool=pubmed_docsum">PubMed ID: 9039399</ulink>
</para>

</sect1>
</article>
</documentation> 


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<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="rdf:#1d03292c-8dbc-4762-b560-4d8d86a43832"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2007-09-11T00:00:00+00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#2c80736c-e859-421a-bea6-25ae4cf08209"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#251aeac3-44bd-4bbb-ae3e-23b01226b981"/></creator><rdf:value xml:lang="en">This model is known to run in COR and PCEnv 0.2 and reproduces the published results.</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#$dFMBC2"><rdf:first><rdf:Description rdf:about="rdf:#$eFMBC2"/></rdf:first><rdf:rest><rdf:Description rdf:about="//www.w3.org/1999/02/22-rdf-syntax-ns#nil"/></rdf:rest></rdf:Description><rdf:Description rdf:about="rdf:#bd8bd4f8-4d61-4311-8c10-4364c1b8d375"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Lars</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Endresen</Family><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">P</Other></rdf:Description><rdf:Description rdf:about="rdf:#$eFMBC2"><algorithm xmlns="http://www.cellml.org/metadata/simulation/1.0#nonstandard-" xml:lang="en">am112</algorithm><endingValue xmlns="http://www.cellml.org/metadata/simulation/1.0#" xml:lang="en">3.5</endingValue></rdf:Description><rdf:Description rdf:about="rdf:#50da750b-df24-407d-9c83-0b3dc29c9768"><JournalArticle xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#703fc683-0ae4-402e-88e5-b1225749cc90"/></JournalArticle><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">9039399</Pubmed_id></rdf:Description><rdf:Description rdf:about="rdf:#ffda8d00-d5dd-4d3e-bc89-317dc176d460"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#37220945-17e2-4486-8f5b-aab7e12c651c"/></N><ORG xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#c7b7b9f9-9a5c-4a68-ad5f-965d6005886e"/></ORG><EMAIL xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#366ce1a5-ad3d-4ac5-8e0c-c6df1f1961f6"/></EMAIL></rdf:Description><rdf:Description rdf:about="rdf:#37220945-17e2-4486-8f5b-aab7e12c651c"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Penny</Given><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Noble</Family><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">J</Other></rdf:Description><rdf:Description rdf:about="rdf:#596283fa-cef8-49b7-b36a-a836d28b607e"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">1996-01-07 00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#$cFMBC2"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$dFMBC2"/></boundIntervals></rdf:Description><rdf:Description rdf:about="rdf:#c7b7b9f9-9a5c-4a68-ad5f-965d6005886e"><Orgname xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Oxford University</Orgname><Orgunit xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Dept of Physiology, Anatomy &amp; Genetics</Orgunit></rdf:Description><rdf:Description rdf:nodeID="n1"><subject xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:nodeID="n2"/></subject></rdf:Description><rdf:Description rdf:about="rdf:#681639cc-a2ef-42ea-a526-bc882f863c8b"><rdf:_1><rdf:Description rdf:about="rdf:#09699ae2-00bd-46f7-938d-33197d0eeff6"/></rdf:_1><rdf:type><rdf:Description rdf:about="//www.w3.org/1999/02/22-rdf-syntax-ns#Seq"/></rdf:type></rdf:Description><rdf:Description rdf:about=""><cmeta:comment><rdf:Description rdf:about="rdf:#2c80736c-e859-421a-bea6-25ae4cf08209"/></cmeta:comment><publisher xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Oxford University</publisher><created xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#1d03292c-8dbc-4762-b560-4d8d86a43832"/></created><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#ffda8d00-d5dd-4d3e-bc89-317dc176d460"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#51aea0e7-d1f8-478c-b157-e3bef4323451"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#809b8eed-69f0-4f13-920c-dea2a96a1898"/></creator><rdf:value xml:lang="en">This file is a CellML description of Endresen's 1996 model of the rabbit sinoatrial action potential from the paper "Chaos in Weakly-coupled Pacemaker Cells"</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#366ce1a5-ad3d-4ac5-8e0c-c6df1f1961f6"><rdf:type><rdf:Description rdf:about="//imc.org/vCard/3.0#internet"/></rdf:type><rdf:value xml:lang="en">penny.noble@dpag.ox.ac.uk</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#809b8eed-69f0-4f13-920c-dea2a96a1898"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">James Lawson</FN></rdf:Description><rdf:Description rdf:nodeID="n3"><rdf:_2 xml:lang="en">cardiac</rdf:_2><rdf:_1 xml:lang="en">electrophysiology</rdf:_1><rdf:type><rdf:Description rdf:about="//www.w3.org/1999/02/22-rdf-syntax-ns#Bag"/></rdf:type><rdf:_3 xml:lang="en">rabbit</rdf:_3></rdf:Description><rdf:Description rdf:about="rdf:#703fc683-0ae4-402e-88e5-b1225749cc90"><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">50</last_page><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Chaos in Weakly-coupled Pacemaker Cells</title><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#eb58e65a-c1ac-4367-96da-1f07380a294f"/></Journal><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#681639cc-a2ef-42ea-a526-bc882f863c8b"/></creator><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#596283fa-cef8-49b7-b36a-a836d28b607e"/></issued><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">184(1)</volume><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">41</first_page></rdf:Description><rdf:Description rdf:about="#endresen_1997"><cmeta:comment><rdf:Description rdf:about="rdf:#51aea0e7-d1f8-478c-b157-e3bef4323451"/></cmeta:comment><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:about="rdf:#$cFMBC2"/></simulation><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#50da750b-df24-407d-9c83-0b3dc29c9768"/></reference><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:nodeID="n1"/></reference></rdf:Description><rdf:Description rdf:about="rdf:#251aeac3-44bd-4bbb-ae3e-23b01226b981"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">James Lawson</FN></rdf:Description><rdf:Description rdf:about="rdf:#09699ae2-00bd-46f7-938d-33197d0eeff6"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#bd8bd4f8-4d61-4311-8c10-4364c1b8d375"/></N><rdf:type><rdf:Description rdf:about="//www.cellml.org/bqs/1.0#Person"/></rdf:type></rdf:Description><rdf:Description rdf:nodeID="n2"><subject_type xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">keyword</subject_type><rdf:value><rdf:Description rdf:nodeID="n3"/></rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#eb58e65a-c1ac-4367-96da-1f07380a294f"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Journal of Theoretical Biology</title></rdf:Description></rdf:RDF></model>