Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
1999-04-20
Physics
Condensed Matter
Disordered Systems and Neural Networks
45 pages, 11 figures, to be published in Neural Computation
Scientific paper
We 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.
Brunel Nicolas
Hakim Vincent
No associations
LandOfFree
Fast global oscillations in networks of integrate-and-fire neurons with low firing rates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Fast global oscillations in networks of integrate-and-fire neurons with low firing rates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fast global oscillations in networks of integrate-and-fire neurons with low firing rates will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-328822