Vortex wave stability in homogeneous excitable media: simulations on a randomized discrete lattice

A. Feldman; J. Z. Yin; E. H. Saxberg; Y. B. Chernyak; R. J. Cohen

Vortex wave stability in homogeneous excitable media: simulations on a randomized discrete lattice

A. Feldman, J. Z. Yin, E. H. Saxberg, Y. B. Chernyak, R. J. Cohen

Research output: Contribution to journal › Conference article › peer-review

Abstract

We studied the stability of vortex waves in 2D homogeneous excitable media using a cellular automaton model on a randomized square lattice. We performed two different sets of simulations using both square and circular regions for the interaction neighborhood. In both cases, the spontaneous breaking of the vortex waves was eliminated by randomizing the positions of the lattice nodes beyond a minimum length scale λ_c. This scale was substantially smaller for the circular interaction region.

Original language	English (US)
Pages (from-to)	25-26
Number of pages	2
Journal	Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Volume	17
Issue number	1
State	Published - 1995
Externally published	Yes
Event	Proceedings of the 1995 IEEE Engineering in Medicine and Biology 17th Annual Conference and 21st Canadian Medical and Biological Engineering Conference. Part 2 (of 2) - Montreal, Can Duration: Sep 20 1995 → Sep 23 1995

ASJC Scopus subject areas

Signal Processing
Biomedical Engineering
Computer Vision and Pattern Recognition
Health Informatics

Cite this

@article{5fa1147b9b154e04b94aeeac1a5f02fc,

title = "Vortex wave stability in homogeneous excitable media: simulations on a randomized discrete lattice",

abstract = "We studied the stability of vortex waves in 2D homogeneous excitable media using a cellular automaton model on a randomized square lattice. We performed two different sets of simulations using both square and circular regions for the interaction neighborhood. In both cases, the spontaneous breaking of the vortex waves was eliminated by randomizing the positions of the lattice nodes beyond a minimum length scale λc. This scale was substantially smaller for the circular interaction region.",

author = "A. Feldman and Yin, {J. Z.} and Saxberg, {E. H.} and Chernyak, {Y. B.} and Cohen, {R. J.}",

year = "1995",

language = "English (US)",

volume = "17",

pages = "25--26",

journal = "Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings",

issn = "0589-1019",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "1",

note = "Proceedings of the 1995 IEEE Engineering in Medicine and Biology 17th Annual Conference and 21st Canadian Medical and Biological Engineering Conference. Part 2 (of 2) ; Conference date: 20-09-1995 Through 23-09-1995",

}

TY - JOUR

T1 - Vortex wave stability in homogeneous excitable media

T2 - Proceedings of the 1995 IEEE Engineering in Medicine and Biology 17th Annual Conference and 21st Canadian Medical and Biological Engineering Conference. Part 2 (of 2)

AU - Feldman, A.

AU - Yin, J. Z.

AU - Saxberg, E. H.

AU - Chernyak, Y. B.

AU - Cohen, R. J.

PY - 1995

Y1 - 1995

N2 - We studied the stability of vortex waves in 2D homogeneous excitable media using a cellular automaton model on a randomized square lattice. We performed two different sets of simulations using both square and circular regions for the interaction neighborhood. In both cases, the spontaneous breaking of the vortex waves was eliminated by randomizing the positions of the lattice nodes beyond a minimum length scale λc. This scale was substantially smaller for the circular interaction region.

AB - We studied the stability of vortex waves in 2D homogeneous excitable media using a cellular automaton model on a randomized square lattice. We performed two different sets of simulations using both square and circular regions for the interaction neighborhood. In both cases, the spontaneous breaking of the vortex waves was eliminated by randomizing the positions of the lattice nodes beyond a minimum length scale λc. This scale was substantially smaller for the circular interaction region.

UR - http://www.scopus.com/inward/record.url?scp=0029430484&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0029430484&partnerID=8YFLogxK

M3 - Conference article

AN - SCOPUS:0029430484

SN - 0589-1019

VL - 17

SP - 25

EP - 26

JO - Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

JF - Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

IS - 1

Y2 - 20 September 1995 through 23 September 1995

ER -

Vortex wave stability in homogeneous excitable media: simulations on a randomized discrete lattice

Abstract

ASJC Scopus subject areas

Other files and links

Fingerprint

Cite this