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

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.

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Publication date:
2002-11-05
URN:
uuid:beaa9f07-8986-4357-be27-5cf7d4bf0eae
Local pid:
oai:eprints.maths.ox.ac.uk:1208

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