- Author:
- Catherine Lloyd <c.lloyd@auckland.ac.nz>
- Date:
- 2009-11-24 13:58:50+13:00
- Desc:
- Added a link in the documentation to reference Hanne's diagram.
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/endresen_1996/rawfile/b4cfcfc1e89daa63944632f4b8e5f3746ae6b438/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>
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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.
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The original paper reference is cited below:
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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>
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