Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting
Acta Biotheoretica (forthcoming)
| Abstract | Abstract This article revisits a reduced model of cardiac electro-physiology which was proposed to understand the genesis of unidirectional block pathology and of ectopic foci. We underline some specificities of the model from the viewpoint of dynamical systems and bifurcation theory. We point out that essentially the same properties are shared by a simpler system more accessible to analysis. With this simpler system, it becomes possible to give a new presentation of the phenomenon in a phase plane with time moving slow manifolds. This presentation can be of interest both for cardiac electro-physiologists and for mathematicians. Content Type Journal Article Category Regular Article Pages 1-7 DOI 10.1007/s10441-012-9158-0 Authors L. El Alaoui, Université Paris 13, C.N.R.S., U.M.R. 7539, L.A.G.A, 99 avenue Jean-Baptiste Clément, 93430 Villetaneuse, France J.-P. Francoise, Laboratoire Jacques-Louis Lions, UMR 7598 CNRS, Université P.-M. Curie, Paris 6, 4 Place Jussieu, 75252 Paris, France M. Landau, Laboratoire Jacques-Louis Lions, UMR 7598 CNRS, Université P.-M. Curie, Paris 6, 4 Place Jussieu, 75252 Paris, France Journal Acta Biotheoretica Online ISSN 1572-8358 Print ISSN 0001-5342 | |||||||||
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