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

نویسندگان

  • Anotida Madzvamuse
  • Andrew J. Wathen
  • Philip K. Maini
چکیده

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.

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تاریخ انتشار 2003