Bursting synchronization in scale-free networks

Neuronal networks in some areas of the brain cortex present the scale-free property, i.e., the neuron connectivity is distributed according to a power-law, such that neurons are more likely to couple with other already well-connected ones. Neuron activity presents two timescales, a fast one related...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2009-09, Vol.41 (5), p.2220-2225
Main Authors: Batista, C.A.S., Batista, A.M., de Pontes, J.C.A., Lopes, S.R., Viana, R.L.
Format: Article
Language:English
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Summary:Neuronal networks in some areas of the brain cortex present the scale-free property, i.e., the neuron connectivity is distributed according to a power-law, such that neurons are more likely to couple with other already well-connected ones. Neuron activity presents two timescales, a fast one related to action-potential spiking, and a slow timescale in which bursting takes place. Some pathological conditions are related with the synchronization of the bursting activity in a weak sense, meaning the adjustment of the bursting phase due to coupling. Hence it has been proposed that an externally applied time-periodic signal be applied in order to control undesirable synchronized bursting rhythms. We investigated this kind of intervention using a two-dimensional map to describe neurons with spiking–bursting activity in a scale-free network.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2008.08.025