Synaptically Generated Wave Propagation in Excitable Neural Media
Open Access
- 5 April 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 82 (14) , 2979-2982
- https://doi.org/10.1103/physrevlett.82.2979
Abstract
We study the propagation of solitary waves in a one-dimensional network of excitable integrate-and-fire neurons with axo-dendritic synaptic coupling. We show that for small axonal delays there exists a stable solitary wave, and derive a power scaling law for the velocity as a function of the coupling. In the case of large axonal delays and fast synapses we establish that the solitary wave can destabilize via a Hopf bifurcation in the firing times.This publication has 13 references indexed in Scilit:
- Spike Train Dynamics Underlying Pattern Formation in Integrate-and-Fire Oscillator NetworksPhysical Review Letters, 1998
- Desynchronization, Mode Locking, and Bursting in Strongly Coupled Integrate-and-Fire OscillatorsPhysical Review Letters, 1998
- Traveling Waves in a Chain of Pulse-Coupled OscillatorsPhysical Review Letters, 1998
- Mathematical PhysiologyPublished by Springer Nature ,1998
- Propagating Neuronal Discharges in Neocortical Slices: Computational and Experimental StudyJournal of Neurophysiology, 1997
- Ionic mechanisms underlying synchronized oscillations and propagating waves in a model of ferret thalamic slicesJournal of Neurophysiology, 1996
- Propagation of spindle waves in a thalamic slice modelJournal of Neurophysiology, 1996
- CONNECTIVITY AND THE DYNAMICS OF INTEGRATE-AND-FIRE NEURAL NETWORKSInternational Journal of Bifurcation and Chaos, 1994
- Analysis of the propagation of disinhibition‐induced after‐discharges along the guinea‐pig hippocampal slice in vitro.The Journal of Physiology, 1993
- Periodicity and directionality in the propagation of epileptiform discharges across neocortexJournal of Neurophysiology, 1988