Tapaswi, P.K. ; Chattopadhyay, J. (1993) Turing structure during embryogenesis Biosystems, 29 (1). pp. 25-36. ISSN 03032647
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Official URL: http://doi.org/10.1016/0303-2647(93)90079-R
Related URL: http://dx.doi.org/10.1016/0303-2647(93)90079-R
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 envolved, has been shown to be globally asymptotically stable by using a suitable Liapunov's function.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Ireland Ltd |
| Keywords: | Activator;Inhibitor;Cross-diffusion;Global stability |
| ID Code: | 132457 |
| Deposited On: | 16 Dec 2022 09:44 |
| Last Modified: | 16 Dec 2022 09:44 |
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