PMID: 11329357May 1, 2001Paper

Neural mechanism for a cognitive timer

Physical Review Letters
H Okamoto, Tomoki Fukai

Abstract

To examine a possible biological mechanism for a cognitive timer, the stochastic dynamics of a network of neurons possessing two stable states ("on" and "off" states) is studied. The fraction of on neurons existing at t = 0 remains large for an extended interval, and then abruptly falls. The distribution of the lengths of the interval is scale invariant in the following sense: The ratio (k root of (mu(k))/m, with m and mu(k) being the mean and the kth central moment, respectively, is invariant under scale transformations of m and mu(k). In the special case k = 2, this gives Weber's law, a hallmark of cognitive timing.

References

Apr 1, 1980·Perception & Psychophysics·A B Kristofferson
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Dec 29, 2000·Nature Neuroscience·D DurstewitzT J Sejnowski

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Citations

Apr 2, 2008·Journal of Computational Neuroscience·Joachim HassJ Michael Herrmann
Oct 29, 2009·Journal of Computational Neuroscience·Rita Almeida, Anders Ledberg
Apr 15, 2005·Neural Computation·Tadashi Yamazaki, Shigeru Tanaka
Mar 1, 2012·Neural Computation·Joachim Hass, J Michael Herrmann
Jul 14, 2009·PLoS Computational Biology·Guido GigantePaolo Del Giudice
Apr 18, 2013·PLoS Computational Biology·Dominic StandageMichael C Dorris
Feb 19, 2010·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Paul Miller, Donald B Katz
Jul 5, 2013·The Journal of Neuroscience : the Official Journal of the Society for Neuroscience·Maurizio MattiaStefano Ferraina
Jul 28, 2009·Neural Networks : the Official Journal of the International Neural Network Society·Yukihiro Tsuboshita, Hiroshi Okamoto
Apr 21, 2007·Neural Networks : the Official Journal of the International Neural Network Society·Yukihiro Tsuboshita, Hiroshi Okamoto
Sep 1, 2006·Neural Networks : the Official Journal of the International Neural Network Society·Yutaka SakaiTomoki Fukai
Jan 20, 2010·NeuroImage·Jochen Braun, Maurizio Mattia
Mar 30, 2007·Journal of Neurophysiology·Hiroshi OkamotoTomoki Fukai

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