Abstract

What type of principle features intrinsic inside of the fluctuated input signals could drive neurons with the maximal excitations is one of the crucial neural coding issues. In this article, we examined both experimentally and theoretically the cortical neuronal responsivity (including firing rate and spike timing reliability) to input signals with different intrinsic correlational statistics (e.g., white-type noise, showed 1/f0 power spectrum, pink noise 1/f, and brown noises 1/f2) and different frequency ranges. Our results revealed that the response sensitivity and reliability of cortical neurons is much higher in response to 1/f noise stimuli with long-term correlations than 1/f0 with short-term correlations for a broad frequency range, and also higher than 1/f2 for all frequency ranges. In addition, we found that neuronal sensitivity diverges to opposite directions for 1/f noise comparing with 1/f0 white noise as a function of cutoff frequency of input signal. As the cutoff frequency is progressively increased from 50 to 1,000 Hz, the neuronal responsiveness increased gradually for 1/f noise, while decreased exponentially for white noise. Computational simulations of a general cortical model revealed that, neuronal sensitivity and reliability to input signal statistics was majorly dominated by fast sodium inactivation, potassium activation, and membrane time constants.

Highlights

  • For a signal, the inherent frequency structure shown in the Fourier frequency domain characterizes its second-order statistics

  • We compared neuronal responses to 1/f0, 1/f, and 1/f2 noises with various cutoff frequencies (50–1,000 Hz) and observed that cortical pyramidal cells exhibit a substantial loss of reliability and sensitivity to white noise when the cutoff frequency exceeds

  • 1/f noise should be a much better probe for determining the response properties of neurons at various input frequency ranges, instead of white noise or 1/f2 noise, and the signal cutoff frequency should be carefully established in future studies

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Summary

INTRODUCTION

The inherent frequency structure shown in the Fourier frequency domain characterizes its second-order statistics. The power spectrum of various natural signals typically exhibits the power law 1/fβ in the frequency domain, with β close to one (Voss and Clarke, 1978; Gilden et al, 1995; Musha and Yamamoto, 1997; De Coensel et al, 2003).

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