Self‐organized criticality and the development of EEG phase reset

Abstract

The development of increased phase stability in local systems is paralleled by lengthened periods of unstable phase in distant connections. Development of the number and/or density of synaptic connections is a likely order parameter to explain oscillations and growth spurts in self-organized criticality during human brain maturation.

The log-dynamic brain: how skewed distributions affect network operations

“…They are coupled in a hierarchical manner, in which the power of a faster oscillation is modulated by the phase of a slow oscillator 12,14–16 . As a result, cross-frequency phase–amplitude coupling in the cerebral cortex is characterized by temporal nesting of multiplexed processes on a log scale and the power dynamics observed within and across LFP frequency bands are typically expressed in the decibel (log) scale 12,13,17 (FIG. 1).…”

Network Connectivity and LORETA Z Score Biofeedback

“…The Z scores are computed from the mean of the x, y, and z real and imaginary components and the resultant vector is not used in the calculation of coherence and phase differences. The first and second derivatives of the phase difference time series is used to compute phase shift and phase lock duration with the same mathematics and methods as described by Thatcher et al (2008a) and Thatcher, North, and Biver (2009). The resultant vector is useful for co-modulation or covariant magnitudes between Brodmann areas computed by a correlation coefficient.…”

Differentiating transformational and non-transformational leaders on the basis of neurological imaging

“…That is, transformational leaders tend to have shorter phase lock duration across a large portion of their brain. Phase lock duration represents periods of synchrony of selected clusters of neurons that temporarily mediate local and global functions in the brain (Buzaski, 2006;Thatcher et al, 2008Thatcher et al, , 2009Thatcher, North, & Biver, 2009). If the phase lock period is too long, then there is likely to be less cognitive flexibility, less neural resources available to be allocated, and reduced cognitive ability (Thatcher et al, 2008).…”