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

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-diffu...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Madzvamuse, A, Wathen, A, Maini, P
التنسيق: Report
منشور في: Journal of Computational Physics 2002
الوصف
الملخص: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 of morphogenesis.