PMID: 22587132May 17, 2012Paper

Recurrent interactions in spiking networks with arbitrary topology

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Volker PerniceStefan Rotter

Abstract

The population activity of random networks of excitatory and inhibitory leaky integrate-and-fire neurons has been studied extensively. In particular, a state of asynchronous activity with low firing rates and low pairwise correlations emerges in sparsely connected networks. We apply linear response theory to evaluate the influence of detailed network structure on neuron dynamics. It turns out that pairwise correlations induced by direct and indirect network connections can be related to the matrix of direct linear interactions. Furthermore, we study the influence of the characteristics of the neuron model. Interpreting the reset as self-inhibition, we examine its influence, via the spectrum of single-neuron activity, on network autocorrelation functions and the overall correlation level. The neuron model also affects the form of interaction kernels and consequently the time-dependent correlation functions. We find that a linear instability of networks with Erdös-Rényi topology coincides with a global transition to a highly correlated network state. Our work shows that recurrent interactions have a profound impact on spike train statistics and provides tools to study the effects of specific network topologies.

References

Dec 6, 1996·Science·C van Vreeswijk, H Sompolinsky
May 16, 2000·Journal of Computational Neuroscience·N Brunel
Apr 6, 2001·Physical Review Letters·N BrunelL F Abbott
Apr 6, 2001·Physical Review Letters·B Lindner, L Schimansky-Geier
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·B Cessac, J A Sepulchre
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Benjamin LindnerAndré Longtin
Dec 13, 2006·Physical Review Letters·Kanaka Rajan, L F Abbott
Apr 29, 2008·Neural Computation·Birgit KrienerStefan Rotter
Feb 18, 2009·Cerebral Cortex·Marcel StimbergKlaus Obermayer
Aug 21, 2009·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Srdjan OstojicVincent Hakim
Oct 2, 2009·Physical Review Letters·Juan I PerottiSergio A Cannas
Nov 26, 2009·Frontiers in Computational Neuroscience·Sven JahnkeMarc Timme
Jan 30, 2010·Science·Alfonso RenartKenneth D Harris
Sep 22, 2010·PLoS Computational Biology·Moritz HeliasMarkus Diesmann
Jan 12, 2011·Journal of Computational Neuroscience·Pierre YgerYves Frégnac
Mar 17, 2011·Physical Review Letters·Daniel B LarremoreJuan G Restrepo
Jun 1, 2011·PLoS Computational Biology·Volker PerniceStefan Rotter
Jun 8, 2011·Frontiers in Computational Neuroscience·Erwan Ledoux, Nicolas Brunel
Jul 23, 2011·Frontiers in Computational Neuroscience·Liqiong ZhaoDuane Q Nykamp

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Citations

Nov 2, 2012·Journal of Neurophysiology·Robert RosenbaumBrent Doiron
Nov 8, 2012·PLoS Computational Biology·Tom TetzlaffMarkus Diesmann
Jan 24, 2014·PLoS Computational Biology·Moritz HeliasMarkus Diesmann
Apr 9, 2014·Neural Computation·Christine Tuleau-MalotPatricia Reynaud-Bouret
Aug 25, 2015·Biometrical Journal. Biometrische Zeitschrift·Julien Chevallier, Thomas Laloë
Apr 9, 2015·Journal of Mathematical Neuroscience·Diego FasoliStefano Panzeri
Apr 20, 2014·Journal of Mathematical Neuroscience·Patricia Reynaud-BouretChristine Tuleau-Malot
Dec 19, 2014·Frontiers in Computational Neuroscience·Fereshteh Lagzi, Stefan Rotter
Apr 25, 2017·PLoS Computational Biology·Francesca Mastrogiuseppe, Srdjan Ostojic
Feb 8, 2018·Frontiers in Computational Neuroscience·Bin MinDavid Cai
Jan 20, 2018·Physical Review. E·Neta Ravid Tannenbaum, Yoram Burak
Jun 9, 2016·PLoS Computational Biology·Stojan Jovanović, Stefan Rotter
Jul 13, 2019·PLoS Computational Biology·Stefano RecanatesiEric Shea-Brown
Aug 16, 2016·PLoS Computational Biology·Neta Ravid Tannenbaum, Yoram Burak
Jun 13, 2017·PLoS Computational Biology·Tobias Kühn, Moritz Helias
Jun 20, 2019·Physical Review. E·Cody BakerRobert Rosenbaum
Feb 18, 2017·Physical Review. E·Taşkın Deniz, Stefan Rotter
Jan 24, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Moritz DegerWulfram Gerstner
Sep 2, 2017·Current Opinion in Neurobiology·Gabriel Koch OckerEric Shea-Brown
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Yu HuEric Shea-Brown

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