Back to Search
Start Over
Geometrical factors in propagation block and spiral wave initiation
- Source :
- Chaos (Woodbury, N.Y.). 27(9)
- Publication Year :
- 2017
-
Abstract
- Many theoretical and experimental studies indicate that a propagation block represents an important factor in spiral wave initiation in excitable media. The analytical and numerical results we obtained for a generic two-component reaction-diffusion system demonstrate quantitative conditions for the propagation block in a one-dimensional and a two-dimensional medium due to a sharp spatial increase of the medium's excitability or the coupling strength above a certain critical value. Here, we prove that this critical value strongly depends on the medium parameters and the geometry of the inhomogeneity. For an exemplary two-dimensional medium, we show how the propagation block can be used to initiate spiral waves by a specific choice of the size and shape of the medium's inhomogeneity.
- Subjects :
- Physics
Coupling strength
business.industry
Wave propagation
Applied Mathematics
General Physics and Astronomy
Statistical and Nonlinear Physics
Mechanics
030204 cardiovascular system & hematology
Critical value
01 natural sciences
03 medical and health sciences
0302 clinical medicine
Optics
Spiral wave
0103 physical sciences
010306 general physics
business
Mathematical Physics
Spiral
Block (data storage)
Subjects
Details
- ISSN :
- 10897682
- Volume :
- 27
- Issue :
- 9
- Database :
- OpenAIRE
- Journal :
- Chaos (Woodbury, N.Y.)
- Accession number :
- edsair.doi.dedup.....421f6de7a4c053787f0e1761482beb29