RT journal article
T1 Spiral-generation mechanism in the two-dimensional FitzHugh-Nagumo system
A1 Rubio-Mercedes, Cosme E.
A1 Lozada-Cruz, Germán
A1 Ortegón Gallego, Francisco
A2 Matemáticas
K1 Diffusion
K1 Spiral-generation
K1 FitzHugh-Nagumo
K1 Finite Element Method
AB 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, wherethe 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.
PB Springer
SN 0035-5038
YR 2022
FD 2022-07-14
LK http://hdl.handle.net/10498/34097
UL http://hdl.handle.net/10498/34097
LA eng
NO C. E.Rubio-Mercedes thanks to the Carolina Foundation for the financial support for the academic exchangeat the University of Cádiz, Spain. G. Lozada-Cruz thanks to the Fundação de Amparo à Pesquisa do Estadode São Paulo, (FAPESP), grant 2015/24095-6
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026