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Long-Range Temporal Correlations and Scaling Behavior in Human Brain Oscillations
Open accessAbstract
The human brain spontaneously generates neural oscillations with a large variability in frequency, amplitude, duration, and recurrence. Little, however, is known about the long-term spatiotemporal structure of the complex patterns of ongoing activity. A central unresolved issue is whether fluctuations in oscillatory activity reflect a memory of the dynamics of the system for more than a few seconds. We investigated the temporal correlations of network oscillations in the normal human brain at time scales ranging from a few seconds to several minutes. Ongoing activity during eyes-open and eyes-closed conditions was recorded with simultaneous magnetoencephalography and electroencephalography. Here we show that amplitude fluctuations of 10 and 20 Hz oscillations are correlated over thousands of oscillation cycles. Our analyses also indicated that these amplitude fluctuations obey power-law scaling behavior. The scaling exponents were highly invariant across subjects. We propose that the large variability, the long-range correlations, and the power-law scaling behavior of spontaneous oscillations find a unifying explanation within the theory of self-organized criticality, which offers a general mechanism for the emergence of correlations and complex dynamics in stochastic multiunit systems. The demonstrated scaling laws pose novel quantitative constraints on computational models of network oscillations. We argue that critical-state dynamics of spontaneous oscillations may lend neural networks capable of quick reorganization during processing demands.
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“The power spectra of neural signals typically follow a power-law form (), indicating temporal correlations that persist across multiple timescales (He et al. 2010; Miller et al. 2009; Linkenkaer-Hansen et al. 2001; Touboul and Destexhe 2010).”
From The myth of the Bayesian brain (2025) · cites this paper as Linkenkaer-Hansen et al. 2001
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Yu, C., & Zhai, J. (2022) · Chaos An Interdisciplinary Journal of Nonlinear Science · doi:10.1063/5.0104853 · Cited by 1
The Biphasic Affective Effect of Chocolate Eating Behavior on Mood-elevating and Relaxing
TOMINAGA, S., & Iwaki, T. (2022) · Transactions of Japan Society of Kansei Engineering · doi:10.5057/jjske.tjske-d-22-00003 · Cited by 1
Tenets and Methods of Fractal Analysis (1/f Noise)
Stadnitski, T. (2024) · Advances in neurobiology · doi:10.1007/978-3-031-47606-8_3 · Cited by 1
Dynamic reorganization of the brain during meditation
Northoff, G. (2024) · Elsevier eBooks · doi:10.1016/b978-0-12-821935-5.00030-2 · Cited by 1
Temporo-spatial theory of consciousness I—form and level/state
Northoff, G. (2024) · Elsevier eBooks · doi:10.1016/b978-0-12-821935-5.00002-8 · Cited by 1
Separating between seizure and seizure-free intervals using an improved version of the DFA method
Adda, A., Benoudnine, H., & Sekkiou, I. (2025) · Research on Biomedical Engineering · doi:10.1007/s42600-025-00415-5 · Cited by 1
“The proper mathematical technique for analyzing such power-law correlations, also termed “long-range (term) temporal correlations (LRTCs),” is multiscaling analysis, which was developed from fractal geometry (Linkenkaer-Hansen et al. 2001).”
Prosthetic Motor Imaginary Task Classification Based on EEG Quality Assessment Features
Haggag, S., Mohamed, S. M. K., Haggag, O., & Nahavandi, S. (2015) · Lecture notes in computer science · doi:10.1007/978-3-319-26561-2_11 · Cited by 1
Meisel, C. (2019) · Springer series on bio- and neurosystems · doi:10.1007/978-3-030-20965-0_4 · Cited by 1
A model of artificial biological time series generation
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Characterizing noise-induced chaos and multifractality of a finance system
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Scale-free Dynamics and Critical Phenomena in Cortical Activity
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Wavelet Approach to the Study of Rhythmic Neuronal Activity
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“Recent research suggests that EEGs can be characterized in some situations by a single dominant timescale, indicating timescale invariance and a 1 /f fractal structure [7] [8].”
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“It has been demonstrated that the long-range correlations existed in both broad band EEG [14] and in sub-band oscillations [ 15 ].”
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Dynamics and Genetics of Hippocampal Network Activity
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Interactions among neuronal oscillations in the developing and adult brain
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Self-citationReconhecimento de estados cognitivos em sinas EEG.
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The correlated nature of large-scale neural activity unveiled by the resting brain.
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Metadata
- Authors
- Linkenkaer-Hansen, K., Nikouline, V. V., Palva, J. M., & Ilmoniemi, R. J.
- Affiliations
- Helsinki University Hospital (FI)
- University of Helsinki (FI)
- Venue
- The Journal of Neuroscience
- Publisher
- Society for Neuroscience
- Published
- 2001-02-15
- Volume
- 21
- Issue
- 4
- Pages
- 1370-1377
- ISSN
- 0270-6474 (ISSN-L)
- 1529-2401
- PMC
- PMC6762238
- OpenAlex
- W2139852582
- Cited by
- 1,149
- References
- 50
- Citations by year
- 2026: 63 · 2025: 70 · 2024: 63 · 2023: 53 · 2022: 76 · 2021: 60 · 2020: 63 · 2019: 57 · 2018: 65 · 2017: 66 · 2016: 62 · 2015: 43 · 2014: 53 · 2013: 48 · 2012: 45
- FWCI
- 6.12
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Licence
- Locations
- Journal of Neuroscience (publishedVersion, cc-by-nc-sa)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion)
- Funders
- Helsingin ja Uudenmaan Sairaanhoitopiiri
- Academy of Finland
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Keywords
- long-range temporal correlations, power-law scaling, neural oscillations, spontaneous neuronal activity, self-organized criticality, neural network reorganization, scaling exponents
- MeSH terms
- Adult, Biological Clocks, Brain, Computer Simulation, Electroencephalography, Female, Humans, Male, Models, Neurological, Nerve Net, Occipital Lobe, Parietal Lobe, Signal Processing, Computer-Assisted, Stochastic Processes, Time Factors, Visual Perception, Magnetoencephalography, Fractals
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