Pulse propagation in discrete systems of coupled excitable cells
Soft Condensed Matter
2009-03-08 v1
Abstract
Propagation of pulses in myelinated fibers may be described by appropriate solutions of spatially discrete FitzHugh-Nagumo systems. In these systems, propagation failure may occur if either the coupling between nodes is not strong enough or the recovery is too fast. We give an asymptotic construction of pulses for spatially discrete FitzHugh-Nagumo systems which agrees well with numerical simulations and discuss evolution of initial data into pulses and pulse generation at a boundary. Formulas for the speed and length of pulses are also obtained.
Cite
@article{arxiv.cond-mat/0206241,
title = {Pulse propagation in discrete systems of coupled excitable cells},
author = {A. Carpio and L. L. Bonilla},
journal= {arXiv preprint arXiv:cond-mat/0206241},
year = {2009}
}
Comments
16 pages, 10 figures, to appear in SIAM J. Appl. Math