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Dynamics of Populations of Integrate-and-Fire Neurons, Partial Synchronization and Memory

Usher, Marius and Schuster, Heinz Georg and Niebur, Ernst (1993) Dynamics of Populations of Integrate-and-Fire Neurons, Partial Synchronization and Memory. Neural Computation, 5 (4). pp. 570-586. ISSN 0899-7667. doi:10.1162/neco.1993.5.4.570.

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We study the dynamics of completely connected populations of refractory integrate-and-fire neurons in the presence of noise. Solving the master equation based on a mean-field approach, and by computer simulations, we find sustained states of activity that correspond to fixed points and show that for the same value of external input, the system has one or two attractors. The dynamic behavior of the population under the influence of external input and noise manifests hysteresis effects that might have a functional role for memory. The temporal dynamics at higher temporal resolution, finer than the transmission delay times and the refractory period, are characterized by synchronized activity of subpopulations. The global activity of the population shows aperiodic oscillations analogous to experimentally found field potentials.

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Additional Information:© 1993 Massachusetts Institute of Technology. Posted Online April 4, 2008. EN is supported by the Office of Naval Research and wishes to thank HGS and the Institute for Theoretical Physics of the University of Kiel for their hospitality. HGS thanks Christof Koch for his kind hospitality during his stay at Caltech. MU is supported by a Bantrell fellowship. This work was supported by NATO Grant 911034COP.
Group:Koch Laboratory (KLAB)
Funding AgencyGrant Number
Office of Naval ResearchUNSPECIFIED
Bantrell FellowshipUNSPECIFIED
North Atlantic Treaty Organization (NATO)911034COP
Subject Keywords:Short-term memory
Issue or Number:4
Record Number:CaltechAUTHORS:USHnc93
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Official Citation: Dynamics of Populations of Integrate-and-Fire Neurons, Partial Synchronization and Memory Marius Usher, Heinz Georg Schuster, and Ernst Niebur Neural Computation 1993 5:4, 570-586
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:13655
Deposited On:19 Jun 2009 16:03
Last Modified:08 Nov 2021 22:39

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