Turing-type instabilities in bulk-surface reaction-diffusion systems

被引：13

作者：

Raetz, Andreas ^{[1
]}

机构：

[1] TU Dortmund, Dortmund, Germany

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2015年 / 289卷

关键词：

Reaction-diffusion systems; PDE's on surfaces; Turing instability; Numerical simulations of reaction-diffusion systems; SIGNALING NETWORKS; INTERFACE APPROACH; PDES; BIOLOGY; MODEL;

D O I：

10.1016/j.cam.2015.02.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this contribution we consider a coupled bulk-surface reaction-diffusion system and for infinitely fast bulk diffusion its formal reduction to a non-local surface PDE model. Thereby, we review results of linear stability analyses for both models showing that Turing-type instabilities can occur for equal lateral diffusion coefficients. The stability results are confirmed by new numerical results. As a specific application, we study a model for a spatial and reaction cycle of signalling molecules in a cell. (C) 2015 Elsevier B.V. All rights reserved.

引用

收藏

页码：142 / 152

页数：11

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