par Hiernaux, Jacques Rene ;Erneux, Thomas
Référence The Bulletin of Mathematical Biophysics, 41, 4, page (461-468)
Publication Publié, 1979-07
Article révisé par les pairs
Résumé : A model of morphogenetic pattern formation recently proposed by French et 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. © 1979 Society for Mathematical Biology.