Reaction-diffusion waves in biology

被引：213

作者：

Volpert, V. ^{[1
]}

Petrovskii, S. ^{[2
]}

机构：

[1] Univ Lyon 1, CNRS, UMR 5208, Inst Camille Jordan, F-69622 Villeurbanne, France

[2] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

来源：

PHYSICS OF LIFE REVIEWS | 2009年 / 6卷 / 04期

关键词：

Reaction-diffusion systems; Travelling waves; Population dynamics; Evolutionary branching; Cell dynamics; Leukemia; Atherosclerosis; PERIODIC TRAVELING-WAVES; PREDATOR-PREY SYSTEM; DYNAMICAL STABILIZATION; FRONT PROPAGATION; CALCIUM WAVES; INVASION; MODEL; COMPETITION; EQUATIONS; STABILITY;

D O I：

10.1016/j.plrev.2009.10.002

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The theory of reaction-diffusion waves begins in the 1930s with the works in population dynamics, combustion theory and chemical kinetics. At the present time, it is a well developed area of research which includes qualitative properties of travelling waves for the scalar reaction-diffusion equation and for system of equations, complex nonlinear dynamics, numerous applications in physics, chemistry, biology, medicine. This paper reviews biological applications of reaction-diffusion waves. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：267 / 310

页数：44

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