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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. © 2003 Elsevier B.V. All rights reserved.

Original publication

DOI

10.1016/S0021-9991(03)00294-8

Type

Journal article

Journal

Journal of Computational Physics

Publication Date

20/09/2003

Volume

190

Pages

478 - 500