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Long-range temporal correlations in neural narrowband time-series arise due to critical dynamics

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  • Duncan A J Blythe
  • Vadim V Nikulin

Abstract

We show theoretically that the hypothesis of criticality as a theory of long-range fluctuation in the human brain may be distinguished from the theory of passive filtering on the basis of macroscopic neuronal signals such as the electroencephalogram, using novel theory of narrowband amplitude time-series at criticality. Our theory predicts the division of critical activity into meta-universality classes. As a consequence our analysis shows that experimental electroencephalography data favours the hypothesis of criticality in the human brain.

Suggested Citation

  • Duncan A J Blythe & Vadim V Nikulin, 2017. "Long-range temporal correlations in neural narrowband time-series arise due to critical dynamics," PLOS ONE, Public Library of Science, vol. 12(5), pages 1-28, May.
    • Handle: RePEc:plo:pone00:0175628
    DOI: 10.1371/journal.pone.0175628
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    References listed on IDEAS

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    3. Liudas Giraitis & Peter M Robinson & Alexander Samarov, 2000. "Adaptive Semiparametric Estimation of the Memory Parameter - (Now published with revised title, Adaptive Rate-Optimal Estimation of the Memory Parameter, in Journal of Multivariate Analysis, 72 (2000)," STICERD - Econometrics Paper Series 379, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
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    Cited by:

    1. Martinez-Saito, Mario, 2022. "Discrete scaling and criticality in a chain of adaptive excitable integrators," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).

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