Existence and Stability of Persistent States in Large Neuronal Networks
- 30 April 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 86 (18) , 4175-4178
- https://doi.org/10.1103/physrevlett.86.4175
Abstract
We study the existence and stability of persistent states in large networks of quadratic integrate-and-fire neurons. The networks consist of two populations, one excitatory and one inhibitory. The stability of the asynchronous state is studied analytically. Our study demonstrates the role of recurrent inhibition and inhibitory-inhibitory interactions in stable persistent activity in large neuronal networks.Keywords
This publication has 19 references indexed in Scilit:
- Nonsaturation of AMPA and NMDA receptors at hippocampal synapsesProceedings of the National Academy of Sciences, 2000
- Stability of the Memory of Eye Position in a Recurrent Network of Conductance-Based Model NeuronsNeuron, 2000
- Synaptic interactions between smooth and spiny neurones in layer 4 of cat visual cortex in vitroThe Journal of Physiology, 1998
- Rapid Phase Locking in Systems of Pulse-Coupled Oscillators with DelaysPhysical Review Letters, 1996
- Synchrony in Excitatory Neural NetworksNeural Computation, 1995
- When inhibition not excitation synchronizes neural firingJournal of Computational Neuroscience, 1994
- Asynchronous states in networks of pulse-coupled oscillatorsPhysical Review E, 1993
- Neural Networks with Low Local Firing RatesEurophysics Letters, 1989
- Storing Infinite Numbers of Patterns in a Spin-Glass Model of Neural NetworksPhysical Review Letters, 1985
- Neural networks and physical systems with emergent collective computational abilities.Proceedings of the National Academy of Sciences, 1982