
人間の脳波は、局所的な活動ではなく、大脳皮質全体にわたる広域的な位相ダイナミクスによって支配されている。


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The organization of the phase of electrical activity in the cortex is critical to inter-site communication, but the balance of this communication across macroscopic (>15cm), mesoscopic (1 to 15cm) and microscopic (<1cm) ranges is an open question. Traveling waves in the cortex are spatial phase gradients, such that phase values change smoothly through the cortical sheet over time. Macroscopic cortical traveling waves have been understudied compared to micro- or mesoscopic waves. The spatial frequencies (i.e., the characteristic scales) of cortical waves have been characterized in the grey-matter for micro- and mesoscopic scales of cortex and show decreasing spatial power with increasing spatial frequency. This research, however, has been limited by the size of the measurement array, thus excluding macroscopic traveling waves. Obversely, poor spatial resolution of extra-cranial measurements prevents incontrovertible macroscopic estimates of spatial power via electroencephalogram and magnetoencephalogram. We apply a novel method to estimate the spatial frequency spectrum of phase dynamics in order to quantify the uncertain macroscopic scale. Stereotactic electroencephalogram is utilized to leverage measurements of local-field potentials within the grey matter, while also taking advantage of the sometimes large extent of spatial coverage. Irregular sampling of the cortical sheet is offset by use of linear algebra techniques to empirically estimate the spatial frequency spectrum. We find the spatial power of the phase is highest at the lowest spatial frequencies (longest wavelengths), consistent with the power spectra ranges for micro- and meso-scale dynamics, but here shown up to the size of the measurement array (15-25cm), i.e., approaching the entire extent of cortex. Low spatial frequencies dominate the cortical phase dynamics. This has important functional implications as it means that the phase measured at a single contact in the grey-matter is more strongly a function of global phase organization than local. This result arises across a wide range of temporal frequencies, from the delta band (2Hz) through to the high gamma range (100Hz).

### Competing Interest Statement

The authors have declared no competing interest.

The dominance of global phase dynamics in human cortex, from delta to gamma

大脳皮質における広域位相ダイナミクスの優位性-デルタ波からガンマ波まで


大脳皮質における広域位相ダイナミクスの優位性：デルタ波からガンマ波まで


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Low spatial frequency phase dynamics, manifesting as macroscopic traveling waves, dominate human cortical activity across a wide range of temporal frequencies, suggesting a critical role in global brain function and challenging previous interpretations based on localized activity.


macroscopic-traveling-waves-dominate-human-cortical-phase-dynamics-across-frequencies


Macroscopic Traveling Waves Dominate Human Cortical Phase Dynamics Across Frequencies
