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Scale-free dynamics of global functional connectivity in the human brain Export

Human Brain Mapping, Vol. 22, No. 2. (5 March 2004), pp. 97-109.

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Higher brain functions depend upon the rapid creation and dissolution of ever changing synchronous cell assemblies. We examine the hypothesis that the dynamics of this process displays scale-free, self-similar properties. EEGs (19 channels, average reference, sample frequency 500 Hz) of 15 healthy subjects (10 men; mean age 22.5 years) were analyzed during eyes-closed and eyes-open no-task conditions. Mean level of synchronization as a function of time was estimated with the synchronization likelihood for five frequency bands (0.5-4, 4-8, 8-13, 13-30, and 30-48 Hz). Scaling in these time series was investigated with detrended fluctuation analysis (DFA). DFA analysis of global synchronization time series showed scale-free characteristics, suggesting neuronal dynamics do not necessarily have a characteristic time constant. The scaling exponent as determined with DFA differed significantly for different frequency bands and conditions. The exponent was close to 1.5 for low frequencies (<IMG SRC="/giflibrary/12/delta.gif" BORDER="0">, <IMG SRC="/giflibrary/12/thetas.gif" BORDER="0">, and <IMG SRC="/giflibrary/12/alpha.gif" BORDER="0">) and close to 1 for <IMG SRC="/giflibrary/12/beta.gif" BORDER="0" ALIGN="ABSBOTTOM"> and <IMG SRC="/giflibrary/12/gamma.gif" BORDER="0"> bands. Eye opening decreased the exponent, in particular in <IMG SRC="/giflibrary/12/alpha.gif" BORDER="0"> and <IMG SRC="/giflibrary/12/beta.gif" BORDER="0" ALIGN="ABSBOTTOM"> bands. Fluctuations of EEG synchronization in <IMG SRC="/giflibrary/12/delta.gif" BORDER="0">, <IMG SRC="/giflibrary/12/thetas.gif" BORDER="0">, <IMG SRC="/giflibrary/12/alpha.gif" BORDER="0">, <IMG SRC="/giflibrary/12/beta.gif" BORDER="0" ALIGN="ABSBOTTOM">, and <IMG SRC="/giflibrary/12/gamma.gif" BORDER="0"> bands exhibit scale-free dynamics in eyes-closed as well as eyes-open no-task states. The decrease in the scaling exponent following eye opening reflects a relative preponderance of rapid fluctuations with respect to slow changes in the mean synchronization level. The existence of scaling suggests that the underlying dynamics may display self-organized criticality, possibly representing a near-optimal state for information processing. Hum. Brain Mapping 22:99-111, 2004. © 2004 Wiley-Liss, Inc.


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