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.
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Hiernaux, J., Erneux, T. Chemical patterns in circular morphogenetic fields. Bltn Mathcal Biology 41, 461–468 (1979). https://doi.org/10.1007/BF02458324
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DOI: https://doi.org/10.1007/BF02458324