Analysis of the Fenton-Karma model through an approximation by a one-dimensional map.

Published

Journal Article

The Fenton-Karma model is a simplification of complex ionic models of cardiac membrane that reproduces quantitatively many of the characteristics of heart cells; its behavior is simple enough to be understood analytically. In this paper, a map is derived that approximates the response of the Fenton-Karma model to stimulation in zero spatial dimensions. This map contains some amount of memory, describing the action potential duration as a function of the previous diastolic interval and the previous action potential duration. Results obtained from iteration of the map and numerical simulations of the Fenton-Karma model are in good agreement. In particular, the iterated map admits different types of solutions corresponding to various dynamical behavior of the cardiac cell, such as 1:1 and 2:1 patterns. (c) 2002 American Institute of Physics.

Full Text

Duke Authors

Cited Authors

  • Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Mitchell, CC

Published Date

  • December 2002

Published In

Volume / Issue

  • 12 / 4

Start / End Page

  • 1034 - 1042

PubMed ID

  • 12779627

Pubmed Central ID

  • 12779627

Electronic International Standard Serial Number (EISSN)

  • 1089-7682

International Standard Serial Number (ISSN)

  • 1054-1500

Digital Object Identifier (DOI)

  • 10.1063/1.1515170

Language

  • eng