Large-excitability asymptotics for scroll waves in three-dimensional excitable media

被引：6

作者：

Margerit, D ^{[1
]}

Barkley, D ^{[1
]}

机构：

[1] Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England

来源：

PHYSICAL REVIEW E | 2002年 / 66卷 / 03期

关键词：

D O I：

10.1103/PhysRevE.66.036214

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

Three-dimensional scroll waves are considered in a reaction-diffusion model of excitable media in the large excitability limit. Coordinates based on the scroll filament are defined and shown to provide a natural extension of the coordinates used for two-dimensional spiral waves. The leading-order free-boundary equations for interface motion in three dimensions are explicitly derived in these coordinates. Three specific examples are considered: straight twisted scroll waves, axisymmetric scroll waves, and helical scroll waves. The equations for the fields at leading and first order in the core region are given.

引用

页数：13

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