Complex pattern formation in reaction-diffusion systems with spatially varying parameters

被引：102
|
作者：
Page, KM
Maini, PK
Monk, NAM
机构：
[1] UCL, Dept Comp Sci, Bioinformat Unit, London WC1E 6BT, England
[2] Math Inst, Ctr Math Biol, Oxford OX1 3LB, England
[3] Univ Sheffield, Ctr Bioinformat & Computat Biol, Div Genom Med, Royal Hallamshire Hosp, Sheffield S10 2JF, S Yorkshire, England
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2005年 / 202卷 / 1-2期
基金：
英国工程与自然科学研究理事会; 英国生物技术与生命科学研究理事会; 英国医学研究理事会;
关键词：
spatially varying parameters; Gierer-Meinhardt reaction-diffusion; turing space; pattern formation; self-organised spatial pattern;
D O I：
10.1016/j.physd.2005.01.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Spontaneous pattern formation in reaction-diffusion systems on a spatially homogeneous domain has been well studied. However, in embryonic development and elsewhere, pattern formation often takes place on a spatially heterogeneous background. We explore the effects of spatially varying parameters on pattern formation in one and two dimensions using the Gierer-Meinhardt reaction-diffusion model. We investigate the effect of the wavelength of a pre-pattern and demonstrate a novel form of moving pattern. We find that spatially heterogeneous parameters can both increase the range and complexity of possible patterns and enhance the robustness of pattern selection. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码：95 / 115
页数：21
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