Replicating spots in reaction-diffusion systems

Kyoung J. Lee, Harry L. Swinney

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We review the phenomenon of replicating spots in reaction-diffusion systems and discuss the mechanism of replication. This phenomenon was discovered in recent experiments on a ferrocyanide-iodate-sulfite reaction-diffusion system. Patterns form in a thin gel layer that is in contact with a continuously fed stirred reservoir. Patterns of spots are observed to undergo a continuous process of growth and multiplication through cell division and death through overcrowding. A similar phenomenon is also found in numerical simulations in one dimension on a four-species model of the ferrocyanide-iodate-sulfite reaction and in simulations in two dimensions of simpler two-species reaction-diffusion models: Gray-Scott model by J. Pearson and FitzHugh-Nagumo model by A. Hagberg and E. Meron.

Original languageEnglish
Pages (from-to)1149-1158
Number of pages10
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume7
Issue number5
DOIs
Publication statusPublished - 1997 May

ASJC Scopus subject areas

  • Modelling and Simulation
  • Engineering (miscellaneous)
  • General
  • Applied Mathematics

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