Self-sustained firing in populations of integrate-and-fire neurons

Journal Article · Mon Feb 01 00:00:00 EST 1993 · SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States)

DOI:https://doi.org/10.1137/0153015· OSTI ID:6230876

Vanreeswijk, C; Abbott, L F ^[1]

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1. Brandeis Univ., Waltham, MA (United States)

A coupled population of simple integrate-and-fire model neurons is analyzed to determine the conditions that lead to stable firing sustained by all-to-all excitatory interactions. The possible temporal firing patterns are determined, and the initial conditions that produce them are discussed. For certain parameter values, two different patterns of firing are possible: one in which the firing is distributed among many groups that fire alternately. The probabilities of different temporal firing patterns arising from random initial conditions and noise conditions and noise inputs are analyzed by computer simulation.

• DOE Contract Number: AC02-76ER03230
• OSTI ID: 6230876
• Journal Information: SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States), Vol. 53:1; ISSN 0036-1399
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
NEURAL NETWORKS
RESEARCH PROGRAMS
COMPUTERIZED SIMULATION
MEAN-FIELD THEORY
NERVE CELLS
NOISE
PROBABILITY
ANIMAL CELLS
SIMULATION
SOMATIC CELLS
990200* - Mathematics & Computers