Critical fronts in initiation of excitation waves

I. Idris and V. N. Biktashev
Phys. Rev. E 76, 021906 – Published 7 August 2007

Abstract

We consider the problem of initiation of propagating waves in a one-dimensional excitable fiber. In the FitzHugh-Nagumo theory, the key role is played by “critical nucleus” and “critical pulse” solutions whose (center-) stable manifold is the threshold surface separating initial conditions leading to propagation and those leading to decay. We present evidence that in cardiac excitation models, this role is played by “critical front” solutions.

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  • Received 1 March 2007

DOI:https://doi.org/10.1103/PhysRevE.76.021906

©2007 American Physical Society

Authors & Affiliations

I. Idris and V. N. Biktashev

  • Department of Mathematical Sciences, University of Liverpool, Liverpool L69 7ZL, United Kingdom

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Issue

Vol. 76, Iss. 2 — August 2007

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