Author(s)

B.Y. Kogan, W.J. Karplus & M.G. Karpoukhin

Abstract

Computer simulation of heart arrhythmia and fibrillation in 2D and 3D cardiac tissue requires adequate mathematical models. The models based on the latest physiological data are very complicated even for modern su- percomputers. The widely used second - order simplified models give only qualitative results and do not reproduce properly the cell recovery pro- cesses, which affect the appearance of spiral waves, the character of their propagation and possible breakup of the wavefront. In order to overcome the limitations of second - order simplified models third - order models are introduced. The synthesis of these models is based on up - to - date physi- ological data and includes the effect of the gate variable j on a fast inward current and the total effect of a time

Keywords