Statistical dependency between intervals in neuronal impulse sequences

Nakahama, Hiroshi; Nishioka, Shinko

doi:10.1016/0022-5193(66)90191-3

Cited by 13 publications

(5 citation statements)

References 6 publications

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“…The concept of Markov properties and the method to verify the presence of Markov properties in nerve impulse trains have been developed by NAKAHAMA and NISHIOKA (1966). A short theoretical outline of this method is given in APPENDIX of this paper.…”

Section: Methodsmentioning

confidence: 99%

“…For this purpose, we have proposed dependency as one of statistical measures representing Markovian characteristics (NAKAHAMA and NISHIOKA, 1966;NAKAHAMA et al, 1972NAKAHAMA et al, , 1974NAKAHAMA et al, , 1975NAKAHAMA et al, , 1977NAKAHAMA et al, , 1979.…”

Section: Appendixmentioning

confidence: 99%

“…The latter, however, have no bearing on the analysis of the time structure. We have aimed, therefore, at description of the sympathetic activity in terms of a Markov process in order to obtain appropriate information on the intensity and consistency of time dependent patterns by determining the order and value of the Markov dependency (NAKAHAMA and NISHIOKA, 1966;NAKAHAMA et al, 1972NAKAHAMA et al, , 1974NAKAHAMA et al, , 1975NAKAHAMA et al, , 1977NAKAHAMA et al, , 1979. Comparing the results derived from the preand postganglionic activities we have made an attempt to assess integrative function of the superior cervical ganglion.…”

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confidence: 99%

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Quantitative analysis of the sympathetic efferent activity to characterize the integrative function of the sympathetic ganglion.

et al. 1983

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Using the concept of the Markov dependency, we analyzed the spontaneous activity in the pre-and postganglionic nerve trunks of the feline superior cervical ganglion. The time structure (order and value of time dependency) of the sequence of compound action potentials was determined. The analysis revealed that the time dependency of the postganglionic activity is of higher order and is generally more consistent than that of the preganglionic one. The difference in orders and values between the pre-and postganglionic activities was found to be a measure of the integrative function of the ganglion. A transformation by the ganglion of some additional information, inaccessible in the time structure of the preganglionic activity, seems to underlie this difference.

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Section: Methodsmentioning

confidence: 99%

Section: Appendixmentioning

confidence: 99%

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confidence: 99%

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Quantitative analysis of the sympathetic efferent activity to characterize the integrative function of the sympathetic ganglion.

et al. 1983

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“…Based on Shannon's concept of entropy and information content, Nakahama et al [14], [16], [18], [19] showed that the concept of dependency could provide sufficient de scription of the degree of the first-order Markovian char acteristics of neural spike trains. This concept later evolved into some techniques for estimating the degree of the higher order Markov processes [15], [17], [20].…”

Section: Introductionmentioning

confidence: 99%

Markov dependency based on Shannon's entropy and its application to neural spike trains

Nakahama

Yamamoto

Aya

et al. 1983

IEEE Trans. Syst., Man, Cybern.

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A measure of "simplified dependency" is introduced repre senting Μarkovian characteristics based on Shannon's entropy and condi tional entropy under the Gaussian assumption. It is considered to be the most concise measure for expressing the higher order statistical properties of a time series and, in this regard, to be superior to a correlation or spectral measure. Simplified dependency is shown to be closely related to the prediction error in the autoregressive analysis of a time series and to be applicable also to nonGaussian processes. Both the truncation method of distribution and the ensemble dependency analysis are informative for clarifying the statistical characteristics of interval sequence of a skewed distribution in a heterogeneous time series. These techniques serve to clarify the neural modulation mechanism.

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“…In any event, the ARP phenomenon is assumed to be an imprint time-independent intrinsic property of the neuron, which is independent of the activity of its connecting neurons. This long-lasting assumption [14][15][16] about the fundamental principles governing neuronal behavior is hereby challenged.…”

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confidence: 99%

Significant anisotropic neuronal refractory period plasticity

Vardi¹,

Tugendhaft²,

Sardi³

et al. 2021

EPL

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Refractory periods are an unavoidable feature of excitable elements, resulting in necessary time-lags for re-excitation. Herein, we measure neuronal absolute refractory periods (ARPs) in synaptic blocked neuronal cultures. In so doing, we show that their duration can be significantly extended by dozens of milliseconds using preceding evoked spikes generated by extracellular stimulations. The ARP increases with the frequency of preceding stimulations, and saturates at the intermittent phase of the neuronal response latency, where a short relative refractory period might appear. Nevertheless, preceding stimulations via a different extracellular route does not affect the ARP. It is also found to be independent of preceding intracellular stimulations. All these features strongly suggest that the anisotropic ARPs originate in neuronal dendrites. The results demonstrate the fast and significant plasticity of the neuronal ARP, depending on the firing activity of its connecting neurons, which is expected to affect network dynamics.

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Statistical dependency between intervals in neuronal impulse sequences

Cited by 13 publications

References 6 publications

Quantitative analysis of the sympathetic efferent activity to characterize the integrative function of the sympathetic ganglion.

Quantitative analysis of the sympathetic efferent activity to characterize the integrative function of the sympathetic ganglion.

Markov dependency based on Shannon's entropy and its application to neural spike trains

Significant anisotropic neuronal refractory period plasticity

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