Dynamics of Populations of Integrate-and-Fire Neurons, Partial Synchronization and Memory
Abstract
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.
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.Attached Files
Published - USHnc93.pdf
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Additional details
- Eprint ID
- 13655
- Resolver ID
- CaltechAUTHORS:USHnc93
- Office of Naval Research
- Bantrell Fellowship
- 911034COP
- North Atlantic Treaty Organization (NATO)
- Created
-
2009-06-19Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field
- Caltech groups
- Koch Laboratory (KLAB)