Turing structure during embryogenesis.

P K Tapaswi; J Chattopadhyay

doi:10.1016/0303-2647(93)90079-r

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Turing structure during embryogenesis.

P K Tapaswi·J Chattopadhyay

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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.

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Animals Diffusion Embryonic and Fetal Development Feedback Mathematics Models, Biological RNA, Messenger Journal Article

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P K Tapaswi, J Chattopadhyay. 1993. Turing structure during embryogenesis.. https://doi.org/10.1016/0303-2647(93)90079-r

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