Emergence of power laws in noncritical neuronal systems

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dc.contributor.authorFaqeeh, Ali
dc.contributor.authorOsat, Saeed
dc.contributor.authorRadicchi, Filippo
dc.contributor.authorGleeson, James P.
dc.contributor.funderScience Foundation Irelanden
dc.contributor.funderNational Science Foundationen
dc.contributor.funderArmy Research Officeen
dc.date.accessioned2021-02-22T15:31:33Z
dc.date.available2021-02-22T15:31:33Z
dc.date.issued2019-07-02
dc.description.abstractExperimental and computational studies provide compelling evidence that neuronal systems are characterized by power-law distributions of neuronal avalanche sizes. This fact is interpreted as an indication that these systems are operating near criticality, and, in turn, typical properties of critical dynamical processes, such as optimal information transmission and stability, are attributed to neuronal systems. The purpose of this Rapid Communication is to show that the presence of power-law distributions for the size of neuronal avalanches is not a sufficient condition for the system to operate near criticality. Specifically, we consider a simplistic model of neuronal dynamics on networks and show that the degree distribution of the underlying neuronal network may trigger power-law distributions for neuronal avalanches even when the system is not in its critical regime. To certify and explain our findings we develop an analytical approach based on percolation theory and branching processes techniques.en
dc.description.sponsorshipScience Foundation Ireland (Grants No. 16/IA/4470 and No. 16/RC/3918); National Science Foundation (CMMI-1552487); U.S. Army Research Office (W911NF-16-1-0104).en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationFaqeeh, A., Osat, S., Radicchi, F. and Gleeson, J. P. (2019) 'Emergence of power laws in noncritical neuronal systems', Physical Review E, 100(1), 010401 (7 pp). doi: 10.1103/PhysRevE.100.010401en
dc.identifier.doi10.1103/PhysRevE.100.010401en
dc.identifier.eissn2470-0053
dc.identifier.endpage7en
dc.identifier.issn2470-0045
dc.identifier.issued1en
dc.identifier.journaltitlePhysical Review Een
dc.identifier.startpage1en
dc.identifier.urihttps://hdl.handle.net/10468/11089
dc.identifier.volume100en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.urihttps://journals.aps.org/pre/abstract/10.1103/PhysRevE.100.010401
dc.rights© 2019 American Physical Societyen
dc.subjectContinuous percolation transitionen
dc.subjectDegree distributionsen
dc.subjectNetwork diffusionen
dc.subjectNetwork structureen
dc.subjectNeuronal dynamicsen
dc.subjectNeuronal network activityen
dc.subjectSpreadingen
dc.titleEmergence of power laws in noncritical neuronal systemsen
dc.typeArticle (peer-reviewed)en
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