Publications [#246494] of Daniel J. Gauthier
Papers Published
- Tolkacheva, EG; Schaeffer, DG; Gauthier, DJ; Mitchell, CC, Analysis of the Fenton-Karma model through an approximation by a one-dimensional map.,
Chaos (Woodbury, N.Y.), vol. 12 no. 4
(December, 2002),
pp. 1034-1042 (Selected to appear in the Virtual Journal of
Biological Physics Research, Volume 4,
November 1, 2002.) [12779627], [doi]
(last updated on 2019/07/17)Abstract:
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.