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Bulletin of Mathematical Biology

, Volume 41, Issue 4, pp 461–468 | Cite as

Chemical patterns in circular morphogenetic fields

  • J. Hiernaux
  • T. Erneux
Article

Abstract

A model of morphogenetic pattern formation recently proposed by Frenchet al. (1976) is investigated in relation to the properties of reaction-diffusion systems operating on two-dimensional circular medium. One of the basic requirements of this model is the existence of a circular morphogenetic gradient exhibiting no discontinuity. We explain how bifur-cation theory may account for the generation of such a spatial pattern through reaction-diffusion processes. For this, we study the emergence of multiple-order bifurcations.

Keywords

Bifurcation Diagram Bifurcation Point Bifurcation Analysis Positional Information Primary Branch 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Society for Mathematical Biology 1979

Authors and Affiliations

  • J. Hiernaux
    • 1
  • T. Erneux
    • 1
  1. 1.Faculté des SciencesUniversité Libre de BruxellesBelgium

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