Synchronization of bursting Hodgkin-Huxley-type neurons in clustered networks

T. de L. Prado, S. R. Lopes, C. A. S. Batista, J. Kurths, R. L. Viana

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We considered a clustered network of bursting neurons described by the Huber-Braun model. In the upper level of the network we used the connectivity matrix of the cat cerebral cortex network, and in the lower level each cortex area (or cluster) is modelled as a small-world network. There are two different coupling strengths
related to inter- and intracluster dynamics. Each bursting cycle is composed of a quiescent period followed by a rapid chaotic sequence of spikes, and we defined a geometric phase which enables us to investigate the onset of synchronized bursting, as the state in which the neuron start bursting at the same time, whereas their spikes may remain uncorrelated. The bursting synchronization of a clustered network has been investigated using an order parameter and the average field of the network in order to identify regimes in which each cluster may display synchronized behavior, whereas the overall network does not. We introduce quantifiers to evaluate the relative contribution of each cluster in the partial synchronized behavior of the whole network. Our main finding is that we typically observe in the clustered network not a complete phase synchronized regime but instead a
complex pattern of partial phase synchronization in which different cortical areas may be internally synchronized at distinct phase values, hence they are not externally synchronized, unless the coupling strengths are too large
Original languageEnglish
Article number032818
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume90
DOIs
Publication statusPublished - 29 Sep 2014

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Bursting
neurons
Neuron
synchronism
Synchronization
Cortex
Spike
spikes
Chaotic Sequence
Partial
Geometric Phase
cerebral cortex
Phase Synchronization
Small-world Network
hubs
Quantifiers
cortexes
cats
Order Parameter
Connectivity

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Synchronization of bursting Hodgkin-Huxley-type neurons in clustered networks. / Prado, T. de L. ; Lopes, S. R.; Batista, C. A. S.; Kurths, J.; Viana, R. L.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 90, 032818, 29.09.2014.

Research output: Contribution to journalArticle

Prado, T. de L. ; Lopes, S. R. ; Batista, C. A. S. ; Kurths, J. ; Viana, R. L. / Synchronization of bursting Hodgkin-Huxley-type neurons in clustered networks. In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2014 ; Vol. 90.
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