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Weber's law implies neural discharge more regular than a Poisson process

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Kang, Jing, Ph.D., Wu, Jianhua, Smerieri, Anteo and Feng, Jianfeng. (2010) Weber's law implies neural discharge more regular than a Poisson process. European Journal of Neuroscience, Vol.31 (No.6). pp. 1006-1018. ISSN 0953-816X

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Official URL: http://dx.doi.org/10.1111/j.1460-9568.2010.07145.x

Abstract

Weber's law is one of the basic laws in psychophysics, but the link between this psychophysical behavior and the neuronal response has not yet been established. In this paper, we carried out an analysis on the spike train statistics when Weber's law holds, and found that the efferent spike train of a single neuron is less variable than a Poisson process. For population neurons, Weber's law is satisfied only when the population size is small (< 10 neurons). However, if the population neurons share a weak correlation in their discharges and individual neuronal spike train is more regular than a Poisson process, Weber's law is true without any restriction on the population size. Biased competition attractor network also demonstrates that the coefficient of variation of interspike interval in the winning pool should be less than one for the validity of Weber's law. Our work links Weber's law with neural firing property quantitatively, shedding light on the relation between psychophysical behavior and neuronal responses.

Item Type: Journal Article
Subjects: R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry
Divisions: Faculty of Science > Centre for Scientific Computing
Faculty of Science > Computer Science
Journal or Publication Title: European Journal of Neuroscience
Publisher: Wiley-Blackwell Publishing Ltd.
ISSN: 0953-816X
Date: March 2010
Volume: Vol.31
Number: No.6
Number of Pages: 13
Page Range: pp. 1006-1018
Identification Number: 10.1111/j.1460-9568.2010.07145.x
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: CARMEN (EPSRC, UK), BION (EU), Warwick Postgraduate Research Fellowship, Institute of Advance Study
URI: http://wrap.warwick.ac.uk/id/eprint/6237

Data sourced from Thomson Reuters' Web of Knowledge

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