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Entropy as an Index of the Informational State of Neurons 

Authors: C. J. Sherry a; W. R. Klemm b
Affiliations:   a Department of Biology, Texas A & M University,
b Department of Veterinary Anatomy, Texas A & M University,
DOI: 10.3109/00207458108985911
Publication Frequency: 12 issues per year
Published in: journal International Journal of Neuroscience, Volume 15, Issue 3 November 1981 , pages 171 - 178
Subject: Neuroscience;
Formats available: PDF (English)
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Abstract

Techniques were developed for using the classical information theory descriptor, entropy, to quantify the “uncertainty” present in neuronal spike trains. Entropy was calculated on the basis of a method that describes the relative relationships of serially ordered interspike intervals by encoding the intervals as a series of symbols, each of which depicts the relative duration of two adjacent spike intervals. Each symbol, or set of symbols has a specific fractional entropy value, derived from its probability of occurrence; moreover, fractional entropy can describe the relative amount of “information” that is associated with the relative location of a given symbol in a string of symbols.

Using spike trains from 12 single neurons in the cerebellar cortex of rats, we determined: (1) the mean and S.D. of information content of each symbol in each specific position in a group of symbols (2-4 symbols/group, based on 3-5 adjacent intervals), (2) the 4-symbol groups which had the least and the most average fractional entropy, (3) that the 4-symbol groups with both low and high fractional entropy had significant positive correlations with the probability of occurrence of those groups after a drug treatment (ethanol), and (4) that the degree of drug-induced change in the incidence of both low- and high-fractional entropy groups did not correlate with predrug entropy. Thus, the entropy of clusters of 3-5 adjacent spike intervals, when computed in this particular way, seems to be a useful measure or index of the informational state of neurons.
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