Instability of turing patterns in reaction-diffusion-ODE systems
نویسندگان
چکیده
منابع مشابه
Instability of turing patterns in reaction-diffusion-ODE systems
The aim of this paper is to contribute to the understanding of the pattern formation phenomenon in reaction-diffusion equations coupled with ordinary differential equations. Such systems of equations arise, for example, from modeling of interactions between cellular processes such as cell growth, differentiation or transformation and diffusing signaling factors. We focus on stability analysis o...
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Turing suggested that, under certain conditions, chemicals can react and diffuse in such a way as to produce steady-state inhomogeneous spatial patterns of chemical concentrations. We consider a simple two-variable reaction-diffusion system and find there is a spatio-temporally oscillating solution (STOS) in parameter regions where linear analysis predicts a pure Turing instability and no Hopf ...
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We study the effect of randomness and anisotropy on Turing patterns in reaction-diffusion systems. For this purpose, the GiererMeinhardt model of pattern formation is considered. The cases we study are: (i)randomness in the underlying lattice structure, (ii)the case in which there is a probablity p that at a lattice site both reaction and diffusion occur, otherwise there is only diffusion and l...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2016
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-016-1035-z