Page, K. and Maini, P. K. and Monk, N. A. M. (2003) Pattern formation in spatially heterogeneous Turing reaction-diffusion models. Physica D, 181 (1-2). pp. 80-101.
The Turing reaction–diffusion model [Phil. Trans. R. Soc. 237 (1952) 37–72] for self-organised spatial pattern formation has been the subject of a great deal of study for the case of spatially homogeneous parameters. The case of parameters which vary spatially has received less attention. Here, we show that a simple step function heterogeneity in a kinetic parameter can lead to spatial pattern formation outside the classical Turing space parameter regime for patterning. This reduces the constraints on the model parameters, extending possible applications. Furthermore, it highlights the potential importance of boundaries during pattern formation.
|Uncontrolled Keywords:||Pattern formation; Turing reaction–diffusion models; Self-organised spatial pattern|
|Subjects:||A - C > Biology and other natural sciences|
|Research Groups:||Centre for Mathematical Biology|
|Deposited By:||Philip Maini|
|Deposited On:||17 Nov 2006|
|Last Modified:||20 Jul 2009 14:20|
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