Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

Anthony Mulholland; J. Gomatam

Pattern formation in excitable reaction-diffusion systems: the eikonal analysis on the torus

Department of Engineering Mathematics

Research output: Contribution to journal › Article (Academic Journal) › peer-review

Abstract

The excitable reaction-diffusion (R-D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.

Original language	English
Pages (from-to)	1013-1019
Number of pages	7
Journal	Journal of Biological Systems
Volume	3
Issue number	4
Publication status	Published - 1995

Keywords

Reaction–Diffusion
excitable
three-dimensional
stability
multiply-connected

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abstract = "The excitable reaction-diffusion (R-D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.",

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AU - Gomatam, J.

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AB - The excitable reaction-diffusion (R-D) systems of biological and chemical origin harbour a wealth of patterns and structures, not all of which have been modelled by the full R-D equations. The analytical and numerical facility offered by the eikonal approach to the R-D equation is exploited here in the demonstration of existence and stability of a class of solutions on a torus.

KW - Reaction–Diffusion

KW - excitable

KW - three-dimensional

KW - stability

KW - multiply-connected

UR - https://pureportal-staging.strath.ac.uk/en/publications/8feb38bf-d8c0-4c1b-b184-f23fabf64ea5

M3 - Article (Academic Journal)

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JO - Journal of Biological Systems

JF - Journal of Biological Systems

SN - 0218-3390

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