FORMATION OF STATIONARY DEMARCATION ZONES BETWEEN POPULATION AUTOWAVES PROPAGATING TOWARDS EACH OTHER

Citation
Ab. Medvinsky et al., FORMATION OF STATIONARY DEMARCATION ZONES BETWEEN POPULATION AUTOWAVES PROPAGATING TOWARDS EACH OTHER, Physica. D, 64(1-3), 1993, pp. 267-280
Citations number
43
Categorie Soggetti
Mathematical Method, Physical Science",Physics,"Physycs, Mathematical
Journal title
ISSN journal
01672789
Volume
64
Issue
1-3
Year of publication
1993
Pages
267 - 280
Database
ISI
SICI code
0167-2789(1993)64:1-3<267:FOSDZB>2.0.ZU;2-4
Abstract
Two kinds of autowaves are known to exist in the simplest mathematical models of excitable media: OMEGA and KOMEGA waves. One of the essenti al differences between them rests in the fact that the OMEGA waves col lide whereas the KOMEGA waves do not. In the present paper we show tha t both OMEGA- and KOMEGA-like waves occur in the essentially more comp lex population expansion mathematical model. The OMEGA-like waves prop agate at higher rates than do the KOMEGA-like ones. Both types of auto waves can carry out transitions from unstable spatial structures into other, stable ones. The results of computer experiments are supported by our experiments in vivo.