title: Turing structure during embryogenesis.
abstract: A non-linear reaction-diffusion model of the epigenetic system involving the synthesis and simultaneous intercellular self and cross-diffusion of the activator and inhibitor during embryogenesis has been proposed. It has been observed that the system spontaneously emerges into a stationary dissipative (Turing) structure only in the presence of positive cross-diffusion. That the stationary structure, thus evolved, has been shown to be globally asymptotically stable by using a suitable Liapunov's function.
authors.affiliation: Embryology Research Unit, Indian Statistical Institute, Calcutta.
authors.forename: P K
authors.initials: PK
authors.lastname: Tapaswi
authors.forename: J
authors.initials: J
authors.lastname: Chattopadhyay
mesh_terms: D000818:Animals; D004058:Diffusion; D005314:Embryonic and Fetal Development / Q000502:physiology*; D005246:Feedback; D008433:Mathematics; D008954:Models, Biological; D012333:RNA, Messenger / Q000096:biosynthesis
chemical_list: D012333:RNA, Messenger