ORDER AND LOCALIZATION IN REACTION-DIFFUSION PATTERN

Citation
Dm. Holloway et Lg. Harrison, ORDER AND LOCALIZATION IN REACTION-DIFFUSION PATTERN, Physica. A, 222(1-4), 1995, pp. 210-233
Citations number
50
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Physics
Journal title
ISSN journal
0378-4371
Volume
222
Issue
1-4
Year of publication
1995
Pages
210 - 233
Database
ISI
SICI code
0378-4371(1995)222:1-4<210:OALIRP>2.0.ZU;2-G
Abstract
The present work is concerned with two aspects of pattern formation: p attern localization and degree of pattern order. In reaction-diffusion models, there are three major effects. These stem from the reaction t erms, the diffusion terms and the presence or absence of precursor gra dients. Global analysis of reaction terms at late stages of pattern fo rmation is at present unavailable. Therefore, we study the effect of t he diffusion terms and of precursor gradients with numerical solution in two models: the Brusselator and the Gierer-Meinhardt. Differences i n response to changes in the diffusion terms and the precursor gradien ts are related to contrasts between the nonlinear kinetics of the two models. These models both have Hill coefficient 2; effects of higher c ooperativities have recently been discussed by Hunding and Engelhardt [1].