Madzvamuse, A. and Wathen, A. J. and Maini, P. K. (2003) A moving grid finite element method applied to a model biological pattern generator. Journal of Computational Physics, 190 (2). pp. 478-500.
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Abstract
Many problems in biology involve growth. In numerical simulations it can therefore be very convenient to employ a moving computational grid on a continuously deforming domain. In this paper we present a novel application of the moving grid finite element method to compute solutions of reaction–diffusion systems in two-dimensional continuously deforming Euclidean domains. A numerical software package has been developed as a result of this research that is capable of solving generalised Turing models for morphogenesis.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Moving grid finite elements; Reaction–diffusion systems; Turing instability; Colour pattern formation; Butterfly wing; Papilio dardanus |
| Subjects: | A - C > Biology and other natural sciences |
| Research Groups: | Centre for Mathematical Biology |
| ID Code: | 374 |
| Deposited By: | Philip Maini |
| Deposited On: | 17 Nov 2006 |
| Last Modified: | 20 Jul 2009 14:20 |
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