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Linear Analysis of the Corticothalamic Model with Time Delay
Author(s) -
Yamaguchi Ikuhiro,
Ogawa Yutaro,
Nakao Hiroya,
Jimbo Yasuhiko,
Kotani Kiyoshi
Publication year - 2014
Publication title -
electronics and communications in japan
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.131
H-Index - 13
eISSN - 1942-9541
pISSN - 1942-9533
DOI - 10.1002/ecj.11581
Subject(s) - electroencephalography , center manifold , homogeneity (statistics) , mathematics , white noise , resting state fmri , stability (learning theory) , control theory (sociology) , mathematical analysis , computer science , nonlinear system , physics , statistics , neuroscience , artificial intelligence , psychology , hopf bifurcation , control (management) , quantum mechanics , machine learning , bifurcation
Summary The corticothalamic Compact Model with time delay proposed by Kim and Robinson is analyzed focusing on the resting EEG, which can be described by the linear version of the model with white‐noise input, under the assumption of spatial homogeneity and temporal steadiness. After discussing the availability and restriction of the model by comparing to the original Pre‐Compact Model, a data analysis method for the resting EEG using the model is presented. The experimental results analyzed by the method suggest that the eye‐closed state compared to the eye‐open state would be characterized by enhanced corticothalamic feedback and depressed cortical excitation. The validity of the Reduced Equations derived in our previous paper is also investigated for the resting EEG, concluding that the Reduced Equations would be available with some restriction for the resting EEG, although the center manifold theory on which the Reduced Equations are based is justified at the edge of linear stability in principle.