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

Authors:
Anotida Madzvamuse;Andrew J. Wathen;Philip K. Maini
Affiliations:
Mathematics Department, 221 Parker Hall, Auburn University, AL;Numerical Analysis Group, Oxford University Computing Laboratory, Wolfson Building, Parks Road, Oxford OX1 3QD, UK;Centre for Mathematical Biology, Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford OX1 3LB, UK
Venue:
Journal of Computational Physics
Year:
2003

Citing 7
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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.