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

@article{citeulike:1533308, 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.}, author = {Madzvamuse, Anotida and Wathen, Andrew J. and Maini, Philip K.}, citeulike-article-id = {1533308}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/S0021-9991(03)00294-8}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6WHY-49324BB-H/2/889b734f591f18d85b4cefe6b50b8fc6}, day = {20}, doi = {10.1016/S0021-9991(03)00294-8}, journal = {Journal of Computational Physics}, keywords = {element, finite, grid, pattern}, month = {September}, number = {2}, pages = {478--500}, posted-at = {2007-08-03 13:27:26}, priority = {2}, title = {A moving grid finite element method applied to a model biological pattern generator}, url = {http://dx.doi.org/10.1016/S0021-9991(03)00294-8}, volume = {190}, year = {2003} }

TY - JOUR ID - citeulike:1533308 L3 - citeulike-article-id:1533308 N2 - 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. IS - 2 JF - Journal of Computational Physics EP - 500 TI - A moving grid finite element method applied to a model biological pattern generator VL - 190 SP - 478 KW - element KW - finite KW - grid KW - pattern AU - Madzvamuse, Anotida AU - Wathen, Andrew AU - Maini, Philip PY - 2003/09/20/ UR - http://dx.doi.org/10.1016/S0021-9991(03)00294-8 ER -