On Embedding Synfire Chains in a Balanced Network | Zendy

Yuval Aviel | Zendy; Carsten Mehring | Zendy; Micha Abeles | Zendy; D. Horn | Zendy

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On Embedding Synfire Chains in a Balanced Network

Author(s) -

Yuval Aviel,

Carsten Mehring,

Micha Abeles,

D. Horn

Publication year - 2003

Publication title -

neural computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.235

H-Index - 169

eISSN - 1530-888X

pISSN - 0899-7667

DOI - 10.1162/089976603321780290

Subject(s) - asynchronous communication , computer science , embedding , scaling , artificial neural network , echo state network , topology (electrical circuits) , artificial intelligence , mathematics , recurrent neural network , computer network , geometry , combinatorics

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.

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