Fast global oscillations in networks of integrate-and-fire neurons with low firing rates

Simple item page
dc.creatorBrunel, N.
dc.creatorHakim, V.
dc.date1999-04-20
dc.date.accessioned2026-07-07T03:13:17Z
dc.date.available2026-07-07T03:13:17Z
dc.descriptionWe study analytically the dynamics of a network of sparsely connected inhibitory integrate-and-fire neurons in a regime where individual neurons emit spikes irregularly and at a low rate. In the limit when the number of neurons N tends to infinity,the network exhibits a sharp transition between a stationary and an oscillatory global activity regime where neurons are weakly synchronized. The activity becomes oscillatory when the inhibitory feedback is strong enough. The period of the global oscillation is found to be mainly controlled by synaptic times, but depends also on the characteristics of the external input. In large but finite networks, the analysis shows that global oscillations of finite coherence time generically exist both above and below the critical inhibition threshold. Their characteristics are determined as functions of systems parameters, in these two different regimes. The results are found to be in good agreement with numerical simulations.
dc.description45 pages, 11 figures, to be published in Neural Computation
dc.identifierhttps://arxiv.org/abs/cond-mat/9904278
dc.identifierhttp://arxiv.org/abs/cond-mat/9904278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29241
dc.subjectDisordered Systems and Neural Networks
dc.subjectQuantitative Biology
dc.titleFast global oscillations in networks of integrate-and-fire neurons with low firing rates
dc.typetext

Files

Collections

arXiv