@misc{10498/34097,
year = {2022},
month = {7},
url = {http://hdl.handle.net/10498/34097},
abstract = {Spiral waves are a mathematical concept that organizes spatio-temporal dynamics in dissipative, spatially extended biological, physical and chemical systems. They support a variety of important phenomena, such as re-entrant cardiac arrhythmias and spatial patterns in chemical reactions. In this paper we consider a two-dimensional (2D) disturbance wave that can make the pulse wave travel around the disturbance and generate a self-sustaining spiral wave. The use of a region temporarily refractory as a disturbance in formatwave is a novelmechanism for generating activity in spiral shape.
In addition, it is robust for a wide variety of refractory areas and geometry shapes.
This situationmodels the appearance of abnormal electrical activity in the heart, where
the disturbance is a cardiac tissue in damage. We present a Finite Element Method (FEM) scheme for the two-dimensional FitzHugh-Nagumo (FHN) system to simulate the spiral-generation mechanism in cardiac tissue. This scheme is based on the semiimplicit Eyres algorithm and we present some numerical results to demonstrate the effectiveness and usefulness of the present technique.},
organization = {C. E.Rubio-Mercedes thanks to the Carolina Foundation for the financial support for the academic exchange
at the University of Cádiz, Spain. G. Lozada-Cruz thanks to the Fundação de Amparo à Pesquisa do Estado
de São Paulo, (FAPESP), grant 2015/24095-6},
publisher = {Springer},
keywords = {Diffusion},
keywords = {Spiral-generation},
keywords = {FitzHugh-Nagumo},
keywords = {Finite Element Method},
title = {Spiral-generation mechanism in the two-dimensional FitzHugh-Nagumo system},
doi = {10.1007/s11587-022-00725-1},
author = {Rubio-Mercedes, Cosme E. and Lozada-Cruz, Germán and Ortegón Gallego, Francisco},
}