Morphogenetic prepattern during embryonic development—a nonlinear analysis

Abstract

By considering a nonlinear reaction-diffusion negative feedback epigenetic control system, involving synthesis of the mitotic-inducing and inhibiting proteins simultaneously with intercellular self-diffusion and negative cross-diffusion of the latter only, Tapaswi and Saha [1] have showed the system generates a Turing structure during embryonic development. In this paper, we have observed, by using Lyapunov's direct method, that the pattern, thus generated, is globally asymptotically stable.