Breaking of Spiral Waves Due to Obstacles
Daniel Olmos-Liceaga, Dalicia Leal Soto, Roberto Ávila-Pozos
Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 4 Oct 2017
10.9734/JAMCS/2017/36584Abstract
A spiral wave, which is a self-sustaining wave, is believed to be the source of certain types of arrhythmias, which can lead to fibrillation. In this paper, we study a generic model for the propagation of electrical impulses in cardiac tissue based on the Fitzhugh-Nagumo (FHN) equations. By numerical simulations we consider the evolution of spiral waves and their interaction with obstacles, such as ischemic or dead tissue from a heart attack or surgery. We describe three possible outcomes (attachment, bouncing and break up) when a spiral wave in the trochoidal regime interacts with an obstacle. The results can be useful to understand the dynamics of the interaction between drifting spiral waves and obstacles and to observe that obstacles might act as a switch from a less to a more dangerous arrhythmic regime.
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Cited by 6
Yixuan Chen, Guodong Ren, Jun Ma · Communications in Nonlinear Science and Numerical Simulation · 2026
Devanand Jaiswal, Jiten C Kalita · Scientific Reports · 2022
Devanand Jaiswal, Jiten C. Kalita · Applied Mathematical Modelling · 2020
Showing 3 of 6 known citations — external sources report more than can currently be individually listed.
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