Synchronization of hyperexcitable systems with phase-repulsive coupling

Gábor Balázsi; Ann Cornell-Bell; Alexander B. Neiman; Frank Moss

doi:10.1103/PhysRevE.64.041912

Synchronization of hyperexcitable systems with phase-repulsive coupling

Gábor Balázsi
, Ann Cornell-Bell
, Alexander B. Neiman
, Frank Moss

Laufer Center for Physical and Quantitative Biology

Viatech Imaging
University of Missouri at St. Louis

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We study two-dimensional arrays of FitzHugh-Nagumo elements with nearest-neighbor coupling from the viewpoint of synchronization. The elements are diffusively coupled. By varying the diffusion coefficient from positive to negative values, interesting synchronization patterns are observed. The results of the simulations resemble the intracellular oscillation patterns observed in cultured human epileptic astrocytes. Three measures are proposed to determine the degree of synchronization (or coupling) in both the simulated and the experimental system.

Original language	English
Pages (from-to)	8
Number of pages	1
Journal	Physical Review E
Volume	64
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevE.64.041912
State	Published - 2001

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10.1103/PhysRevE.64.041912

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title = "Synchronization of hyperexcitable systems with phase-repulsive coupling",

abstract = "We study two-dimensional arrays of FitzHugh-Nagumo elements with nearest-neighbor coupling from the viewpoint of synchronization. The elements are diffusively coupled. By varying the diffusion coefficient from positive to negative values, interesting synchronization patterns are observed. The results of the simulations resemble the intracellular oscillation patterns observed in cultured human epileptic astrocytes. Three measures are proposed to determine the degree of synchronization (or coupling) in both the simulated and the experimental system.",

author = "G{\'a}bor Bal{\'a}zsi and Ann Cornell-Bell and Neiman, \{Alexander B.\} and Frank Moss",

year = "2001",

doi = "10.1103/PhysRevE.64.041912",

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AU - Balázsi, Gábor

AU - Cornell-Bell, Ann

AU - Neiman, Alexander B.

AU - Moss, Frank

PY - 2001

Y1 - 2001

N2 - We study two-dimensional arrays of FitzHugh-Nagumo elements with nearest-neighbor coupling from the viewpoint of synchronization. The elements are diffusively coupled. By varying the diffusion coefficient from positive to negative values, interesting synchronization patterns are observed. The results of the simulations resemble the intracellular oscillation patterns observed in cultured human epileptic astrocytes. Three measures are proposed to determine the degree of synchronization (or coupling) in both the simulated and the experimental system.

AB - We study two-dimensional arrays of FitzHugh-Nagumo elements with nearest-neighbor coupling from the viewpoint of synchronization. The elements are diffusively coupled. By varying the diffusion coefficient from positive to negative values, interesting synchronization patterns are observed. The results of the simulations resemble the intracellular oscillation patterns observed in cultured human epileptic astrocytes. Three measures are proposed to determine the degree of synchronization (or coupling) in both the simulated and the experimental system.

UR - https://www.scopus.com/pages/publications/85035285132

U2 - 10.1103/PhysRevE.64.041912

DO - 10.1103/PhysRevE.64.041912

M3 - Article

AN - SCOPUS:85035285132

SN - 1063-651X

VL - 64

SP - 8

JO - Physical Review E

JF - Physical Review E

IS - 4

ER -

Synchronization of hyperexcitable systems with phase-repulsive coupling

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