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Pulse propagation in discrete systems of coupled excitable cells

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https://doi.org/10.1137/S0036139901391732

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2002

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Society for Industrial and Applied Mathematics
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https://hdl.handle.net/20.500.14352/57208

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Carpio Rodríguez, A. M. y Bonilla, L. L. «Pulse Propagation in Discrete Systems of Coupled Excitable Cells». SIAM Journal on Applied Mathematics, vol. 63, n.o 2, enero de 2003, pp. 619-35. DOI.org (Crossref), https://doi.org/10.1137/S0036139901391732.

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 the 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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Estadística matemática (Matemáticas), Ecuaciones diferenciales

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1209 Estadística, 1202.07 Ecuaciones en Diferencias

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