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Regulated Criticality in the Brain?

Elie Bienenstock and Daniel Lehmann
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Elie Bienenstock: Division of Applied Mathematics, Brown University, Providence RI 02912, USA
Daniel Lehmann: Institute of Computer Science and Center for Neural Computation, Hebrew University, Jerusalem 91904, Israel

Advances in Complex Systems (ACS), 1999, vol. 01, issue 04, 361-384

Abstract: We propose that a regulation mechanism based on Hebbian covariance plasticity may cause the brain to operate near criticality. We analyze the effect of such a regulation on the dynamics of a network with excitatory and inhibitory neurons and uniform connectivity within and across the two populations. We show that, under broad conditions, the system converges to a critcal state lying at the common boundary of three regions in parameter space; these correspond to three modes of behavior: high activity, low activity, oscillation.

Keywords: Brain; criticality; synaptic plasticity; bifurcation; covariance (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1142/S0219525998000223

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