Computational Studies of Bacterial Colony Model
菌落模型的计算研究作者机构：Department of Mathematics Faculty of Nuclear Sciences and Physical Engineering Czech Technical University in Prague Prague Czech Republic
出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)
年 卷 期：2013年第3卷第2期
页 面：147-157页
基 金：The projects “Applied Mathematics in Physics and Technical Sciences” number MSM684077 0010 of the Ministry of Education Youth and Sports of the Czech Republic and “Advanced Supercomputing Methods for Implementation of Mathematical Models” number SGS11/161/OHK4/3T/14
主 题：Bacterial Colony Model Reaction-Diffusion Equations Method of Lines Galerkin Finite Element Method
摘 要：Microbiological experiments show that the colonies of the bacterium bacillus subtilis placed on a dish filled with an agar medium and nutrient form varied spatial patterns while the individual cells grow, reproduce and migrate on the dish in clumps. In this paper, we discuss a system of reaction-diffusion equations that can be used with a view to modelling this phenomenon and we solve it numerically by means of the method of lines. For the spatial discretization, we use the finite difference method and Galerkin finite element method. We present how the spatial patterns obtained depend on the spatial discretization employed and we measure the experimental order of convergence of the numerical schemes used. Further, we present the numerical results obtained by solving the model in a cubic domain.
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