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

Abstract

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.

Authors:
;  [1]
  1. Brandeis Univ., Waltham, MA (United States)
Publication Date:
OSTI Identifier:
6230876
DOE Contract Number:  
AC02-76ER03230
Resource Type:
Journal Article
Journal Name:
SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States)
Additional Journal Information:
Journal Volume: 53:1; Journal ID: ISSN 0036-1399
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Vanreeswijk, C, and Abbott, L F. Self-sustained firing in populations of integrate-and-fire neurons. United States: N. p., 1993. Web. doi:10.1137/0153015.
Vanreeswijk, C, & Abbott, L F. Self-sustained firing in populations of integrate-and-fire neurons. United States. https://doi.org/10.1137/0153015
Vanreeswijk, C, and Abbott, L F. 1993. "Self-sustained firing in populations of integrate-and-fire neurons". United States. https://doi.org/10.1137/0153015.
@article{osti_6230876,
title = {Self-sustained firing in populations of integrate-and-fire neurons},
author = {Vanreeswijk, C and Abbott, L F},
abstractNote = {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.},
doi = {10.1137/0153015},
url = {https://www.osti.gov/biblio/6230876}, journal = {SIAM Journal of Applied Mathematics (Society for Industrial and Applied Mathematics); (United States)},
issn = {0036-1399},
number = ,
volume = 53:1,
place = {United States},
year = {Mon Feb 01 00:00:00 EST 1993},
month = {Mon Feb 01 00:00:00 EST 1993}
}