Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting - Sorbonne Université Access content directly
Journal Articles Acta Biotheoretica Year : 2012

Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting

M. Landau
  • Function : Author

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.
No file

Dates and versions

hal-01407204 , version 1 (01-12-2016)

Identifiers

  • HAL Id : hal-01407204 , version 1
  • PUBMED : 22484843

Cite

Linda El Alaoui, Jean-Pierre Françoise, M. Landau. Reduced Models for Unidirectional Block Conduction and Their Geometrical Setting. Acta Biotheoretica, 2012, 60 (1-2), pp.131 - 137. ⟨hal-01407204⟩
78 View
0 Download

Altmetric

Share

Gmail Mastodon Facebook X LinkedIn More