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

By A. Madzvamuse, A. J. Wathen and P. K. Maini

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

Topics: Biology and other natural sciences
Year: 2003
DOI identifier: 10.1016/S0021-9991(03)00294-8
OAI identifier: oai:generic.eprints.org:374/core69

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