RT Journal Article
T1 Pulse propagation in discrete systems of coupled excitable cells
A1 Carpio Rodríguez, Ana María
A1 Bonilla, Luis L.
AB 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.
PB Society for Industrial and Applied Mathematics
SN 0036-1399
YR 2002
FD 2002
LK https://hdl.handle.net/20.500.14352/57208
UL https://hdl.handle.net/20.500.14352/57208
LA eng
NO 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.
NO Directorate General for Higher Education (Portugal)
NO Madrid Ciencia y Tecnología
NO Comunidad de Madrid
NO Unión Europea
DS Docta Complutense
RD 9 abr 2025