Dependency Representing Markov Properties of Spike Trains Recorded from Central Single Neurons

Nakahama, Hiroshi; Yamamoto, Makoto; Fujii, Hisashi; Aya, Kojiro; Tani, Yosuke

doi:10.1620/tjem.122.99

Cited by 11 publications

(14 citation statements)

References 23 publications

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“…The material, recording procedures, the histological verification of recording sites, and data reduction have been fully described elsewhere (Nakahama et al, 1971(Nakahama et al, , 1977b, and only a brief outline needs to be given here.…”

Section: Methodsmentioning

confidence: 99%

“…Dependency for continuous variables is defined as mutual information by the following equation (Nakahama et al, 1977a):…”

Section: Definition Of Simplified Dependency and Markov Valuementioning

confidence: 99%

“…To obtain the sampling distribution of A~ m we introduce the notion of the m-th order shuffling (Nakahama et al, 1977a …”

Section: Inference About the Order And The Values Of Markov Propertiesmentioning

confidence: 99%

“…In a previous paper (Nakahama et al, 1977a), we developed dependency and simplified dependency, representing the order and the values of stationary Markov processes, from a view-point of theory and practice. These statistical measures were applied to the analysis of Markov properties of neuronal spike trains, and the functional significance of the results was discussed (Nakahama et al, 1977b).…”

Section: Introductionmentioning

confidence: 99%

“…These statistical measures were applied to the analysis of Markov properties of neuronal spike trains, and the functional significance of the results was discussed (Nakahama et al, 1977b).…”

Section: Introductionmentioning

confidence: 99%

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Dependency representing Markov properties of nonstationary spike trains recorded from the cat's optic tract fibers

et al. 1979

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Here K=0.51og2e, and I/~ml is the correlation coefficient determinant obtained from the ensemble averages of sample records. When an observed value A~,, is greater than or equal to the critical value, A~=Kz2(~)/N, the null hypothesis of the (m-1)th order, A~,,--~m-N,,-*---0, is rejected at the level of significance e. Here )~2(cQ is the chi-square value with one degree of freedom at c~ and N is sample size. With these statistics it was shown that the order and the values of Markov properties of spike trains of optic tract X-and Y-fibers became higher and larger, respectively, after the light spot presentation; and that the values ~1 due to negative correlation came to increase and returned to the maintained level earlier in Y-fibers than in X-fibers, while the maximum values for X-fibers continued to the light off. It is discussed that Markov properties of spike trains of optic tract fibers in the visual pathway seem to constitute a significant component of the neural information code.

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Section: Methodsmentioning

confidence: 99%

“…Dependency for continuous variables is defined as mutual information by the following equation (Nakahama et al, 1977a):…”

Section: Definition Of Simplified Dependency and Markov Valuementioning

confidence: 99%

“…To obtain the sampling distribution of A~ m we introduce the notion of the m-th order shuffling (Nakahama et al, 1977a …”

Section: Inference About the Order And The Values Of Markov Propertiesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning