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:
-
- 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}
}
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