Pulse propagation in discrete systems of coupled excitable cells

Details Pulse propagation in discrete systems of coupled excitable cells Pulse propagation in discrete systems of coupled excitable cells

2002-06-13

arxiv.org/abs/cond-mat/0206241v1

SIAM J. Appl. Math. 63, 619-635 (2003).

Physics

Condensed Matter

Soft Condensed Matter

16 pages, 10 figures, to appear in SIAM J. Appl. Math

Scientific paper

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.

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