Brain criticality through nonadditive entropic analysis of electroencephalograms
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866909010629754880 |
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| author | Lima, Henrique Santos Tsallis, Constantino Abramov, Dimitri M. |
| author_facet | Lima, Henrique Santos Tsallis, Constantino Abramov, Dimitri M. |
| contents | On the grounds of nonadditive entropies -- appropriate for complex systems -- we investigate the electroencephalogram amplitudes of typical and ADHD children. The corresponding probability distributions are $q$-Gaussians, i.e., $ρ(x) \propto e_q^{-βx^2} \equiv [1+(q-1) βx^2]^{1/(1-q)}$, where $(q,β)$ are, respectively, the entropic index characterizing complexity and the inverse width. We show that $q$ tends to monotonically vary with $β$ for both typical and ADHD subjects, thus revealing critical behavior of the brain. Moreover, we verify that ADHD subjects have a higher complexity than the typical ones. Consistently, biomarkers for objective phychyatric diagnosis could emerge along this path. We show that $q$ tends to monotonically vary with $β$ for both typical and ADHD subjects, thus revealing critical behavior of the brain. Moreover, we verify that ADHD subjects have a higher complexity than the typical ones. Consistently, biomarkers for objective phychyatric diagnosis could emerge along this path. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_01629 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Brain criticality through nonadditive entropic analysis of electroencephalograms Lima, Henrique Santos Tsallis, Constantino Abramov, Dimitri M. Statistical Mechanics Data Analysis, Statistics and Probability Medical Physics On the grounds of nonadditive entropies -- appropriate for complex systems -- we investigate the electroencephalogram amplitudes of typical and ADHD children. The corresponding probability distributions are $q$-Gaussians, i.e., $ρ(x) \propto e_q^{-βx^2} \equiv [1+(q-1) βx^2]^{1/(1-q)}$, where $(q,β)$ are, respectively, the entropic index characterizing complexity and the inverse width. We show that $q$ tends to monotonically vary with $β$ for both typical and ADHD subjects, thus revealing critical behavior of the brain. Moreover, we verify that ADHD subjects have a higher complexity than the typical ones. Consistently, biomarkers for objective phychyatric diagnosis could emerge along this path. We show that $q$ tends to monotonically vary with $β$ for both typical and ADHD subjects, thus revealing critical behavior of the brain. Moreover, we verify that ADHD subjects have a higher complexity than the typical ones. Consistently, biomarkers for objective phychyatric diagnosis could emerge along this path. |
| title | Brain criticality through nonadditive entropic analysis of electroencephalograms |
| topic | Statistical Mechanics Data Analysis, Statistics and Probability Medical Physics |
| url | https://arxiv.org/abs/2605.01629 |