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Large-excitability asymptotics for scroll waves in three-dimensional excitable media
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UNSPECIFIED (2002) Large-excitability asymptotics for scroll waves in three-dimensional excitable media. PHYSICAL REVIEW E, 66 (3 Part 2A). -. doi:10.1103/PhysRevE.66.036214
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Official URL: http://dx.doi.org/10.1103/PhysRevE.66.036214
Abstract
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 | ||||
| ISSN: | 1063-651X | ||||
| Official Date: | September 2002 | ||||
| Dates: |
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| Volume: | 66 | ||||
| Number: | 3 Part 2A | ||||
| Number of Pages: | 13 | ||||
| Page Range: | - | ||||
| DOI: | 10.1103/PhysRevE.66.036214 | ||||
| Publication Status: | Published |
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