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Article

Revealing Spectrum Features of Stochastic Neuron Spike Trains

1
DII, Department of Information Engineering, Università Politecnica delle Marche, 60131 Ancona, Italy
2
DIET, Department of Information Engineering, Electronics and Telecommunications, Università Sapienza, 00185 Rome, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(6), 1011; https://doi.org/10.3390/math8061011
Received: 18 May 2020 / Revised: 12 June 2020 / Accepted: 17 June 2020 / Published: 20 June 2020
(This article belongs to the Special Issue Stochastic Processes in Neuronal Modeling)
Power spectra of spike trains reveal important properties of neuronal behavior. They exhibit several peaks, whose shape and position depend on applied stimuli and intrinsic biophysical properties, such as input current density and channel noise. The position of the spectral peaks in the frequency domain is not straightforwardly predictable from statistical averages of the interspike intervals, especially when stochastic behavior prevails. In this work, we provide a model for the neuronal power spectrum, obtained from Discrete Fourier Transform and expressed as a series of expected value of sinusoidal terms. The first term of the series allows us to estimate the frequencies of the spectral peaks to a maximum error of a few Hz, and to interpret why they are not harmonics of the first peak frequency. Thus, the simple expression of the proposed power spectral density (PSD) model makes it a powerful interpretative tool of PSD shape, and also useful for neurophysiological studies aimed at extracting information on neuronal behavior from spike train spectra. View Full-Text
Keywords: neuron models; spike trains; point processes; power spectra analysis; stochastic neuron dynamics neuron models; spike trains; point processes; power spectra analysis; stochastic neuron dynamics
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MDPI and ACS Style

Orcioni, S.; Paffi, A.; Apollonio, F.; Liberti, M. Revealing Spectrum Features of Stochastic Neuron Spike Trains. Mathematics 2020, 8, 1011. https://doi.org/10.3390/math8061011

AMA Style

Orcioni S, Paffi A, Apollonio F, Liberti M. Revealing Spectrum Features of Stochastic Neuron Spike Trains. Mathematics. 2020; 8(6):1011. https://doi.org/10.3390/math8061011

Chicago/Turabian Style

Orcioni, Simone; Paffi, Alessandra; Apollonio, Francesca; Liberti, Micaela. 2020. "Revealing Spectrum Features of Stochastic Neuron Spike Trains" Mathematics 8, no. 6: 1011. https://doi.org/10.3390/math8061011

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