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. (2002) A moving grid finite element method applied to a model biological pattern generator. Technical Report. Journal of Computational Physics. (Submitted)

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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 of morphogenesis.

Item Type:Technical Report (Technical Report)
Subjects:A - C > Biology and other natural sciences
H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1208
Deposited By:Lotti Ekert
Deposited On:19 May 2011 07:40
Last Modified:19 May 2011 07:40

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