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

journal contribution
posted on 2023-06-07, 20:36 authored by Anotida Madzvamuse, Andrew J Wathen, Philip K Maini
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.

History

Publication status

  • Published

Journal

Journal of Computational Physics

ISSN

0021-9991

Issue

2

Volume

190

Page range

478-500

Pages

23.0

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2012-02-06

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