Revealing Spectrum Features of Stochastic Neuron Spike Trains

Simone Orcioni, Alessandra Paffi, Francesca Apollonio and Micaela Liberti
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Simone Orcioni: DII, Department of Information Engineering, Università Politecnica delle Marche, 60131 Ancona, Italy
Alessandra Paffi: DIET, Department of Information Engineering, Electronics and Telecommunications, Università Sapienza, 00185 Rome, Italy
Francesca Apollonio: DIET, Department of Information Engineering, Electronics and Telecommunications, Università Sapienza, 00185 Rome, Italy
Micaela Liberti: DIET, Department of Information Engineering, Electronics and Telecommunications, Università Sapienza, 00185 Rome, Italy

Mathematics, 2020, vol. 8, issue 6, 1-13

Abstract: 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.

Keywords: neuron models; spike trains; point processes; power spectra analysis; stochastic neuron dynamics (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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