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The Journal of Neuroscience, February 15, 2001, 21(4):1370-1377

Long-Range Temporal Correlations and Scaling Behavior in Human Brain Oscillations

Klaus Linkenkaer-Hansen¹, Vadim V. Nikouline¹, J. Matias Palva², and Risto J. Ilmoniemi¹

¹ BioMag Laboratory, Medical Engineering Centre, Helsinki University Central Hospital, Helsinki, Fin-00029 Finland, and ² Division of Animal Physiology, Department of Biosciences, University of Helsinki, Fin-00014 Finland

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.

Key words: spontaneous oscillations; large-scale dynamics; temporal properties; correlations; scaling behavior; self-organized criticality; complexity

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Copyright © 2001 Society for Neuroscience  0270-6474/01/2141370-08$05.00/0

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