PMID: 11328125May 1, 2001Paper

Bistability in pulse propagation in networks of excitatory and inhibitory populations

Physical Review Letters
D Golomb, G B Ermentrout

Abstract

We study the propagation of traveling solitary pulses in one-dimensional networks of excitatory and inhibitory integrate-and-fire neurons. Slow pulses, during which inhibitory cells fire well before neighboring excitatory cells, can propagate along the network at intermediate inhibition levels. At higher levels, they destabilize via a Hopf bifurcation. There is a bistable parameter regime in which both fast and slow pulses can propagate. Lurching pulses with spatiotemporal periodicity can propagate in regimes for which continuous pulses do not exist.

References

Nov 1, 1989·Journal of Neurophysiology·Y Chagnac-Amitai, B W Connors
Nov 1, 1988·Journal of Neurophysiology·R D ChervinB W Connors
Sep 1, 1995·Journal of Neurophysiology·U KimD A McCormick
Feb 1, 1996·Journal of Neurophysiology·D GolombJ Rinzel
Jun 9, 1998·Journal of Computational Neuroscience·B Ermentrout
Nov 11, 1999·Proceedings of the National Academy of Sciences of the United States of America·D Golomb, G B Ermentrout
Oct 4, 2000·Nature Neuroscience·M V Sanchez-Vives, D A McCormick

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Citations

Mar 9, 2005·Biological cybernetics·Alexander Kaske, Nils Bertschinger
Dec 9, 2010·Biological cybernetics·Thomas M WasylenkoIoannis G Kevrekidis
Nov 23, 2011·Biological cybernetics·Julie Goulet, G Bard Ermentrout
Nov 15, 2005·Journal of Computational Neuroscience·Wenxue WangPhilip S Ulinski
Dec 21, 2010·Journal of Computational Neuroscience·Jeremie LefebvreVictor G LeBlanc
Jun 7, 2003·Network : Computation in Neural Systems·Axel HuttThomas Wennekers
Dec 17, 2009·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·J LefebvreV G Leblanc
Apr 2, 2004·Journal of Neurophysiology·M BazhenovT J Sejnowski
Nov 20, 2013·Mathematical Biosciences and Engineering : MBE·Aniello BuonocoreMaria Francesca Carfora
May 12, 2009·Neuroscience Research·Toru Yanagawa, Ken Mogi
Jul 5, 2006·Network : Computation in Neural Systems·Carlo Laing, Stephen Coombes
Sep 22, 2016·Journal of Computational Neuroscience·Maxim Komarov, Maxim Bazhenov
Jun 1, 2004·Physical Review Letters·Alex RoxinSara A Solla
Jun 13, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xiaohui Xie, Martin A Giese
Aug 22, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·David Golomb, G Bard Ermentrout
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Laurent Badel, Arnaud Tonnelier
Feb 21, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ramana Dodla, John Rinzel
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jérémie LefebvreVictor G LeBlanc
Jul 15, 2017·Physical Review Letters·Davide Bernardi, Benjamin Lindner
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mihaela Enculescu, Michael Bestehorn
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M P JamesP C Bressloff
Jun 6, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·S Coombes
Apr 19, 2017·Physical Review. E·Felix TabbertSvetlana V Gurevich
Mar 17, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Joosup Lim, Bogdan I Epureanu
Sep 28, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hidetsugu Sakaguchi
Mar 5, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A J ElvinM G Roberts

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