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On Embedding Synfire Chains in a Balanced Network

aviel{at}cc.huji.ac.il, Interdisciplinary Center for Neural Computation, Hebrew University, Jerusalem, Israel

C. Mehring

Mehring{at}biologie.uni-freiburg.de, Neurobiology and Biophysics, Institute of Biology III, Albert-Ludwigs-University, Freiburg, Germany

M. Abeles

abeles{at}hbf.huji.ac.il, Interdisciplinary Center for Neural Computation, Hebrew University, Jerusalem, Israel

D. Horn

horn{at}post.tau.ac.il, School of Physics and Astronomy, Tel Aviv University, Tel Aviv, Israel

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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