On Embedding Synfire Chains in a Balanced Network

We investigate the formation of synfire waves in a balanced network of integrate-and-fire neurons. The synaptic connectivity of this network embodies synfire chains within a sparse random connectivity. This network can exhibit global oscillations but can also operate in an asynchronous activity mode...

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Bibliographic Details
Published in:Neural computation 2003-06, Vol.15 (6), p.1321-1340
Main Authors: Aviel, Y, Mehring, C, Abeles, M, Horn, D
Format: Article
Language:English
Subjects:
Biological and medical sciences
Computer Simulation
Fundamental and applied biological sciences. Psychology
General aspects
Letters
Mathematics in biology. Statistical analysis. Models. Metrology. Data processing in biology (general aspects)
Models, Neurological
Neural Pathways - physiology
Neurons - physiology
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Summary:We investigate the formation of synfire waves in a balanced network of integrate-and-fire neurons. The synaptic connectivity of this network embodies synfire chains within a sparse random connectivity. This network can exhibit global oscillations but can also operate in an asynchronous activity mode. We analyze the correlations of two neurons in a pool as convenient indicators for the state of the network. We find, using different models, that these indicators depend on a scaling variable. Beyond a critical point, strong correlations and large network oscillations are obtained. We looked for the conditions under which a synfire wave could be propagated on top of an otherwise asynchronous state of the network. This condition was found to be highly restrictive, requiring a large number of neurons for its implementation in our network. The results are based on analytic derivations and simulations.
ISSN:0899-7667
1530-888X
DOI:10.1162/089976603321780290