- Author:
- Hanne <Hanne@hanne-nielsens-macbook.local>
- Date:
- 2009-11-19 14:14:54+13:00
- Desc:
- Added images in ai svg and png format
- Permanent Source URI:
- http://models.cellml.org/workspace/endresen_1996/rawfile/56893a073b3dbb67b7f32341f4657d3c63bbb57f/endresen_1996.cellml
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<!--
This CellML file was generated on 17/07/2007 at 16:19:18 using:
COR (0.9.31.723)
Copyright 2002-2007 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk
CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
-->
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<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>
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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>
In the paper described here, Lars Petter Endresen presents a very simple mathematical model of the rabbit sinoatrial action potential. One cell is defined by two nonlinear first-order ordinary differential equations, using just ten constant parameters. These two equations represent the slow inward calcium current, and the outward potassium current. Despite its inherent simplicity, the model can reproduce the complex waveforms and rhythms observed in experimentally recorded action potentials.
</para>
<para>
The complete 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&cmd=Retrieve&dopt=AbstractPlus&list_uids=9039399&query_hl=1&itool=pubmed_docsum">PubMed ID: 9039399</ulink>
</para>
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</article>
</documentation>
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<vCard:Given>Penny</vCard:Given>
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<vCard:Other>J</vCard:Other>
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