PMID: 11308673Apr 20, 2001Paper

Shot noise in the leaky integrate-and-fire neuron

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
N Hohn, A N Burkitt

Abstract

We study the influence of noise on the transmission of temporal information by a leaky integrate-and-fire neuron using the theory of shot noise. The model includes a finite number of synapses and has a membrane potential variance de facto modulated by the input signal. The phenomenon of stochastic resonance in spiking neurons is analytically exhibited using an inhomogeneous Poisson process model of the spike trains, and links with the traditional Ornstein-Uhlenbeck process obtained by a diffusion approximation are given. It is shown that the modulated membrane potential variance inherent to the model gives better signal processing capabilities than the diffusion approximation.

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Citations

Feb 3, 2005·Biological cybernetics·Leonel GómezJosé Pedro Segundo
Nov 7, 2008·Journal of Computational Neuroscience·Chin-Yueh Liu, Duane Q Nykamp
Apr 22, 2006·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Graeme M Clark
Aug 6, 2010·Journal of Neurophysiology·Paula T KuokkanenRichard Kempter
Nov 14, 2001·Neural Computation·A N Burkitt, G M Clark
Nov 25, 2003·Neural Computation·Carlo R Laing, André Longtin
Apr 15, 2005·Neural Computation·Magnus J E Richardson, Wulfram Gerstner
Jun 25, 2009·Neural Computation·Ram Krips, Miriam Furst
Jun 30, 2009·PLoS Computational Biology·Mark D McDonnell, Derek Abbott
Sep 22, 2010·PLoS Computational Biology·Moritz HeliasMarkus Diesmann
Nov 10, 2013·PLoS Computational Biology·Ramakrishnan IyerStefan Mihalas
Dec 5, 2008·IEEE Transactions on Neural Networks·Ashok Patel, Bart Kosko
Nov 18, 2005·Journal of Physiology, Paris·Michael Rudolph, Alain Destexhe
Mar 12, 2015·Network : Computation in Neural Systems·Mark D McDonnellLawrence M Ward
Jan 24, 2017·IEEE Transactions on Neural Networks and Learning Systems·Liuwei ZhouHongye Su
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Maurizio Mattia, Paolo Del Giudice
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Edoardo Daly, Amilcare Porporato
Apr 12, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Benjamin Lindner
Oct 10, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Brent DoironAlex Reyes
Apr 26, 2015·Biological cybernetics·Kamil Rajdl, Petr Lansky
Jan 24, 2018·Journal of Neurophysiology·Paula T KuokkanenRichard Kempter

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