+ Site Statistics
References:
54,258,434
Abstracts:
29,560,870
PMIDs:
28,072,757
+ Search Articles
+ PDF Full Text Service
How our service works
Request PDF Full Text
+ Follow Us
Follow on Facebook
Follow on Twitter
Follow on LinkedIn
+ Subscribe to Site Feeds
Most Shared
PDF Full Text
+ Translate
+ Recently Requested

Counting statistics of 1 f fluctuations in neuronal spike trains



Counting statistics of 1 f fluctuations in neuronal spike trains



Biological Cybernetics 62(5): 407-414



The mesencephalic reticular formation (MRF) neurons are regarded as contributing to the activation of the celebral cortex. In this paper, the statistical features of single neuronal activities in MRF of cat during dream sleep are investigated; the neuronal spike train exhibits 1/f fluctuations. Counting statistics is applied to the neuronal spike train giving rise to a variance/mean cuve which follows a tu-law. For an interpretation of these findings, the clustering Poisson process is applied which not only gives rise to a tu-law but also suggests a generation mechanism. The MRF neuronal activities are closely fitted by the clustering Poisson process and the underlying statistical parameters can be estimated. These findings strongly suggest that neuronal activities can be interpreted as superposition of randomly occuring clusters (= bursts of spikes).

Please choose payment method:






(PDF emailed within 0-6 h: $19.90)

Accession: 007165974

Download citation: RISBibTeXText

DOI: 10.1007/bf00197647


Related references

An interpretation of 1/f fluctuations in neuronal spike trains during dream sleep. Biological Cybernetics 60(3): 161-169, 1989

Neuronal spike trains and stochastic point processes. II. Simultaneous spike trains. Biophysical Journal 7(4): 419-440, 1967

A new tool to characterize ongoing neuronal discharge Counting statistics of f-b-fluctuations. Society for Neuroscience Abstracts 18(1-2): 1393, 1992

Neuronal spike trains and stochastic point processes: II. Simultaneous trains. Biophys J 7(4): 419-440, 1967

Detection of bursts in neuronal spike trains by the mean inter-spike interval method. Progress in Natural Science 19(2): 229-235, 2009

Neuronal spike trains and stochastic point processes. I. The single spike train. Biophysical Journal 7(4): 391-418, 1967

Neuronal interactions in the substantia nigra revealed by statistical analysis of neuronal spike trains. Garattini, Silvio, Jjol And R. Samanin (ed.). Monographs Of The Mario Negri Institute For Pharmacological Research. Interactions Between Putative Neurotransmitters In The Brain. Xv 415p. Illus. Raven Press: New York, N.y., Usa. ISBN 0-89004-196-2: 215, 1978

A comparison of computational methods for detecting bursts in neuronal spike trains and their application to human stem cell-derived neuronal networks. Journal of Neurophysiology 116(2): 306-321, 2017

Neuronal spike trains. Science 160(3831): 1025-1026, 1968

On a model of neuronal spike trains. Mathematical Biosci4(3-4): 337-341., 1973

Test statistics for the identification of assembly neurons in parallel spike trains. Computational Intelligence and Neuroscience 2015: 427829, 2015

Statistics of midbrain dopamine neuron spike trains in the awake primate. Journal of Neurophysiology 98(3): 1428-1439, 2007

Neuronal spike trains with exponential decay. Neurological Research 3(2): 139-166, 1981

Computer analysis of neuronal spike-trains. Journal of Physiology 245(2): 49p-51p, 1975

Analysis of Neuronal Spike Trains, Deconstructed. Neuron 91(2): 221-259, 2017