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Title: Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells

Abstract

We study the onset of the propagation failure of wave fronts in systems of coupled cells. We introduce a new method to analyze the scaling of the critical external field at which fronts cease to propagate, as a function of intercellular coupling. We find the universal scaling of the field throughout the range of couplings and show that the field becomes exponentially small for large couplings. Our method is generic and applicable to a wide class of cellular dynamics in chemical, biological, and engineering systems. We confirm our results by direct numerical simulations. (c) 2000 The American Physical Society.

Authors:
; ;
Publication Date:
OSTI Identifier:
20216445
Resource Type:
Journal Article
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 84; Journal Issue: 19; Other Information: PBD: 8 May 2000; Journal ID: ISSN 0031-9007
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; WAVE PROPAGATION; SCALING LAWS; BIOPHYSICS; THEORETICAL DATA

Citation Formats

Kladko, Konstantin, Mitkov, Igor, and Bishop, A. R. Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells. United States: N. p., 2000. Web. doi:10.1103/PhysRevLett.84.4505.
Kladko, Konstantin, Mitkov, Igor, & Bishop, A. R. Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells. United States. doi:10.1103/PhysRevLett.84.4505.
Kladko, Konstantin, Mitkov, Igor, and Bishop, A. R. Mon . "Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells". United States. doi:10.1103/PhysRevLett.84.4505.
@article{osti_20216445,
title = {Universal Scaling of Wave Propagation Failure in Arrays of Coupled Nonlinear Cells},
author = {Kladko, Konstantin and Mitkov, Igor and Bishop, A. R.},
abstractNote = {We study the onset of the propagation failure of wave fronts in systems of coupled cells. We introduce a new method to analyze the scaling of the critical external field at which fronts cease to propagate, as a function of intercellular coupling. We find the universal scaling of the field throughout the range of couplings and show that the field becomes exponentially small for large couplings. Our method is generic and applicable to a wide class of cellular dynamics in chemical, biological, and engineering systems. We confirm our results by direct numerical simulations. (c) 2000 The American Physical Society.},
doi = {10.1103/PhysRevLett.84.4505},
journal = {Physical Review Letters},
issn = {0031-9007},
number = 19,
volume = 84,
place = {United States},
year = {2000},
month = {5}
}