Large-excitability asymptotics for scroll waves in three-dimensional excitable media
UNSPECIFIED. (2002) Large-excitability asymptotics for scroll waves in three-dimensional excitable media. PHYSICAL REVIEW E, 66 (3 Part 2A). -. ISSN 1063-651XFull text not available from this repository.
Official URL: http://dx.doi.org/10.1103/PhysRevE.66.036214
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.
|Item Type:||Journal Article|
|Subjects:||Q Science > QC Physics|
|Journal or Publication Title:||PHYSICAL REVIEW E|
|Publisher:||AMERICAN PHYSICAL SOC|
|Official Date:||September 2002|
|Number:||3 Part 2A|
|Number of Pages:||13|
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