The Mathematical Institute, University of Oxford, Eprints Archive

A moving grid finite element method applied to a model biological pattern generator

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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