Reaction-diffusion waves in biology

被引：214
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.
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页码：267 / 310
页数：44
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