Analysis of the Fenton-Karma model through approximation by a one-dimensional map
Abstract
The Fenton-Karma (FK) model is a phenomenological simplification of complex ionic models of cardiac membrane. It reproduces quantitatively many of the characteristics of heart cells, and its behavior is simple enough to be understood analytically. In this paper, a map in a phase space of one dimension is derived to approximate the response of the FK model to periodic stimulation in zero spatial dimension (patch model). Results obtained from the iteration of the map and numerical simulations of the FK model are in good agreement. 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 and alternans). The existence of various solution types and their stability is determined analytically as a function of parameters.
- Publication:
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APS March Meeting Abstracts
- Pub Date:
- March 2002
- Bibcode:
- 2002APS..MARM30014T