Speed-curvature relation for a discrete model of excitable media

Yuri B. Chernyak; Andrew B. Feldman; Richard J. Cohen

Speed-curvature relation for a discrete model of excitable media

Yuri B. Chernyak, Andrew B. Feldman, Richard J. Cohen

School of Medicine

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

Abstract

We derive expressions for the dependence of propagation speed on wavefront curvature directly from the excitation rules for a discrete model of an excitable medium in the limiting case of no recovery. This allows us to find the plane wave speed, critical curvature, and effective diffusion constant of the medium. Reproduction of these features is essential for modeling reentrant arrhythmias in the heart.

Original language	English (US)
Pages (from-to)	1921-1922
Number of pages	2
Journal	Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings
Volume	5
State	Published - Dec 1 1996
Event	Proceedings of the 1996 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 4 (of 5) - Amsterdam, Neth Duration: Oct 31 1996 → Nov 3 1996

ASJC Scopus subject areas

Signal Processing
Biomedical Engineering
Computer Vision and Pattern Recognition
Health Informatics

Cite this

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title = "Speed-curvature relation for a discrete model of excitable media",

abstract = "We derive expressions for the dependence of propagation speed on wavefront curvature directly from the excitation rules for a discrete model of an excitable medium in the limiting case of no recovery. This allows us to find the plane wave speed, critical curvature, and effective diffusion constant of the medium. Reproduction of these features is essential for modeling reentrant arrhythmias in the heart.",

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year = "1996",

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note = "Proceedings of the 1996 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 4 (of 5) ; Conference date: 31-10-1996 Through 03-11-1996",

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AU - Cohen, Richard J.

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N2 - We derive expressions for the dependence of propagation speed on wavefront curvature directly from the excitation rules for a discrete model of an excitable medium in the limiting case of no recovery. This allows us to find the plane wave speed, critical curvature, and effective diffusion constant of the medium. Reproduction of these features is essential for modeling reentrant arrhythmias in the heart.

AB - We derive expressions for the dependence of propagation speed on wavefront curvature directly from the excitation rules for a discrete model of an excitable medium in the limiting case of no recovery. This allows us to find the plane wave speed, critical curvature, and effective diffusion constant of the medium. Reproduction of these features is essential for modeling reentrant arrhythmias in the heart.

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AN - SCOPUS:0030314315

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EP - 1922

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

T2 - Proceedings of the 1996 18th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Part 4 (of 5)

Y2 - 31 October 1996 through 3 November 1996

ER -

Speed-curvature relation for a discrete model of excitable media

Abstract

ASJC Scopus subject areas

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