Phase synchronization of electroencephalographic signals inthe different frequency bands
by M. C. Faustino1, R. P. Serquiña2, P. E. Rapp3, A. M. Albano4*
1 Department of Mathematics, Xavier University, Cagayan de Oro City, Philippines. 2 Department of Mathematics and Statistics, Mindanao State University – Iligan Institute of Technology, Iligan City, Philippines. 3 Department of Military and Emergency Medicine, Uniformed Services University, Bethesda, MD 20814 USA. 4 Department of Physics, Bryn Mawr College, Bryn Mawr, PA 19010 USA.
We use Kuramoto's parameter ρ to evaluate thephase synchronization of multichannel EEGrecords at different frequency bands forthirteen human subjects under two behavioralconditions: eyes open resting and eyes closedresting. We report three findings: (1) with eyes open, thedependence of ρ on frequency can be described by a 7th orderpolynomial, and with the eyes closed, by a 6th order polynomial;(2) for all frequency bands, pair-wise synchronization betweenchannels is inversely proportional to inter-electrode distance;and (3) although there are visible differences in averagesynchronization between behavioral conditions, inter-subjectvariations are so great such that the differences are notstatistically significant.