Relations between continuous and discrete models of excitable media

A. Feldman; Y. B. Chernyak; R. J. Cohen

Relations between continuous and discrete models of excitable media

A. Feldman, Y. B. Chernyak, R. J. Cohen

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

Abstract

We derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium. This equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. We used an approximate solution to obtain equations linking the excitation time scale τ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.

Original language	English (US)
Pages (from-to)	47-48
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

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title = "Relations between continuous and discrete models of excitable media",

abstract = "We derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium. This equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. We used an approximate solution to obtain equations linking the excitation time scale τ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.",

author = "A. Feldman and Chernyak, {Y. B.} and Cohen, {R. J.}",

year = "1995",

language = "English (US)",

volume = "17",

pages = "47--48",

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

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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",

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T1 - Relations between continuous and discrete models of excitable media

AU - Feldman, A.

AU - Chernyak, Y. B.

AU - Cohen, R. J.

PY - 1995

Y1 - 1995

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AB - We derived a general eikonal equation describing the evolution of a wavefront propagating in an excitable medium. This equation implements the relation between the propagation speed and the wavefront curvature known from a more detailed theory. We used an approximate solution to obtain equations linking the excitation time scale τ and diffusion constant D of a continuous reaction rate model with the excitation parameters of a discrete cellular automaton model on a randomized lattice.

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M3 - Conference article

AN - SCOPUS:0029429031

SN - 0589-1019

VL - 17

SP - 47

EP - 48

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

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)

Y2 - 20 September 1995 through 23 September 1995

ER -

Relations between continuous and discrete models of excitable media

Abstract

ASJC Scopus subject areas

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