A derived one-dimensional map approximating the Fenton-Karma model showed good agreement with numerical simulations, reproducing dynamical behaviors like 1:1 and 2:1 patterns.
A one-dimensional map approximation of the Fenton-Karma model successfully reproduces complex dynamical behaviors of cardiac cells, such as 1:1 and 2:1 patterns.
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.
Tolkacheva et al. (Sun,) reported a other. One-dimensional map approximation vs. Numerical simulations of the Fenton-Karma model was evaluated on Agreement between iterated map and numerical simulations. A derived one-dimensional map approximating the Fenton-Karma model showed good agreement with numerical simulations, reproducing dynamical behaviors like 1:1 and 2:1 patterns.
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