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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 for morphogenesis.

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Publication date:
2003-01-01


UUID:
uuid:449bf71f-d2a2-4daf-bbd1-92905917797d
Local pid:
oai:eprints.maths.ox.ac.uk:374
Deposit date:
2011-05-19

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