Existence and Stability of Persistent States in Large Neuronal Networks

1. Phys Rev Lett. 2001 Apr 30;86(18):4175-8. doi: 10.1103/PhysRevLett.86.4175.

Existence and stability of persistent states in large neuronal networks.

Hansel D(1), Mato G.

Author information:
(1)Laboratoire de Neurophysique et de Physiologie du Système Moteur, EP 1848
CNRS, Université René Descartes, 45 rue des Saints Pères, 75270 Paris Cedex 06,
France.

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.

DOI: 10.1103/PhysRevLett.86.4175
PMID: 11328124 [Indexed for MEDLINE]

Auteurs Bordeaux Neurocampus