Summary: Neurocomputing 4446 (2002) 285292
Syn˙re chain in a balanced network
Y. Aviela;, E. Pavlova, M. Abelesa, D. Hornb
aInterdisciplinary Center for Neural Computation, Hebrew University, Jerusalem, Israel
bSchool of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel
We investigate the formation of ordered spatiotemporal activations of pools of neurons in
syn˙re chains (SFC) within a balanced network, both by simulations and by analytic tools.
Using a suitable matrix of synaptic connections, we show that the results depend on the ratio
between the size of an individual pool of neurons (w) and the total excitatory input of a neuron
(K). In our simulations of 10,000 neurons, we obtain an asynchronous-irregular ˙ring mode,
which does not sustain a traveling pulse-packet of SFC activity. Our analysis shows that the
latter may be expected to exist in larger networks in which very small w=K values can be
realized. c 2002 Elsevier Science B.V. All rights reserved.
Keywords: Syn˙re chain; Balanced network; Asynchronous irregular state; Common input;
A randomly connected sparse network, where each neuron gets as much inhibition as
excitation is called a "balanced network" . Such a network of integrate-and-˙re (IAF)