Spatial patterns in coupled biochemical oscillators

M. Ashkenazi, H. G. Othmer

Research output: Contribution to journalArticlepeer-review

66 Scopus citations

Abstract

The effects of diffusion on the dynamics of biochemical oscillators are investigated for general kinetic mechanisms and for a simplified model of glycolysis. When diffusion is sufficiently rapid a population of oscillators relaxes to a globally-synchronized oscillation, but when diffusion of one or more species is slow enough, the synchronized oscillation can be unstable and a nonuniform steady state or an asynchronous oscillation can arise. The significance of these results vis-a-vis models of contact inhibition and zonation patterns is discussed.

Original languageEnglish (US)
Pages (from-to)305-350
Number of pages46
JournalJournal of Mathematical Biology
Volume5
Issue number4
DOIs
StatePublished - Dec 1977

Keywords

  • Biochemical oscillators
  • Diffusion coupling

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