Neurophysiological correlates to the human brain complexity through $q$-statistical analysis of electroencephalogram

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Main Authors: Abramov, Dimitri Marques, Quintanilha, Daniel de Freitas, Lima, Henrique Santos, Costa, Roozemeria Pereira, Kamil-Leite, Carla, Lazarev, Vladimir V., Tsallis, Constantino
Format: Preprint
Published: 2025
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author Abramov, Dimitri Marques
Quintanilha, Daniel de Freitas
Lima, Henrique Santos
Costa, Roozemeria Pereira
Kamil-Leite, Carla
Lazarev, Vladimir V.
Tsallis, Constantino
author_facet Abramov, Dimitri Marques
Quintanilha, Daniel de Freitas
Lima, Henrique Santos
Costa, Roozemeria Pereira
Kamil-Leite, Carla
Lazarev, Vladimir V.
Tsallis, Constantino
contents The prospects of assessing neural complexity (NC) by $q$-statistics of the systemic organization of different types and levels of brain activity were studied. In 70 adult subjects, NC was assessed via the parameter $q$ of $q$-statistics, applied to the ongoing and EEG and its spectral power of 20 scalp points (channels). The NC were estimated both globally for all channels (AllCh) and locally (for each single channel) in different Functional States (FSs). The values of $q$ was compared among FSs and single channels, as well they were correlated with the power of $θ$ (4-8Hz), $β_1$ (15-25Hz) and others EEG bands, in each FS. The value of $q$ across all FSs was higher for AllCh than for the single channels FSs. Consistently with previous studies, we found a negative correlation between NC and age. The FSs did not influence the $q$ of the EEG in AllCh, although locally the FS modulated $q$ in a consistent manner (e.g., reducing $q$ in posterior sites with eyes closed). The $q$ was correlated positively with the power of the $θ$ and negatively with that of the $β_1$ band in general. These findings support the idea that, as a first approach, $q$-statistics can describe the human NC. The relationship between $q$ and $θ$ power aligns with greater NC during FSs such as listening music and resting with eyes open, which is consistent with high-order representations rather than low-informative attentional tasks (OddBall).
format Preprint
id arxiv_https___arxiv_org_abs_2502_06057
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Neurophysiological correlates to the human brain complexity through $q$-statistical analysis of electroencephalogram
Abramov, Dimitri Marques
Quintanilha, Daniel de Freitas
Lima, Henrique Santos
Costa, Roozemeria Pereira
Kamil-Leite, Carla
Lazarev, Vladimir V.
Tsallis, Constantino
Neurons and Cognition
Statistical Mechanics
Medical Physics
The prospects of assessing neural complexity (NC) by $q$-statistics of the systemic organization of different types and levels of brain activity were studied. In 70 adult subjects, NC was assessed via the parameter $q$ of $q$-statistics, applied to the ongoing and EEG and its spectral power of 20 scalp points (channels). The NC were estimated both globally for all channels (AllCh) and locally (for each single channel) in different Functional States (FSs). The values of $q$ was compared among FSs and single channels, as well they were correlated with the power of $θ$ (4-8Hz), $β_1$ (15-25Hz) and others EEG bands, in each FS. The value of $q$ across all FSs was higher for AllCh than for the single channels FSs. Consistently with previous studies, we found a negative correlation between NC and age. The FSs did not influence the $q$ of the EEG in AllCh, although locally the FS modulated $q$ in a consistent manner (e.g., reducing $q$ in posterior sites with eyes closed). The $q$ was correlated positively with the power of the $θ$ and negatively with that of the $β_1$ band in general. These findings support the idea that, as a first approach, $q$-statistics can describe the human NC. The relationship between $q$ and $θ$ power aligns with greater NC during FSs such as listening music and resting with eyes open, which is consistent with high-order representations rather than low-informative attentional tasks (OddBall).
title Neurophysiological correlates to the human brain complexity through $q$-statistical analysis of electroencephalogram
topic Neurons and Cognition
Statistical Mechanics
Medical Physics
url https://arxiv.org/abs/2502.06057