Critical fronts in initiation of excitation waves
Pattern Formation and Solitons
2009-11-13 v3
Abstract
We consider the problem of initiation of propagating wave 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.
Keywords
Cite
@article{arxiv.nlin/0703045,
title = {Critical fronts in initiation of excitation waves},
author = {I. Idris and V. N. Biktashev},
journal= {arXiv preprint arXiv:nlin/0703045},
year = {2009}
}
Comments
Six pages, five figures. This is the version that was resubmitted to Phys Rev E on June 13, 2007