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Mathematical Relations Between Measures of Brain Connectivity Estimated From Electrophysiological Recordings for Gaussian Distributed Data
Nolte, Guido1; Galindo-Leon, Edgar1; Li, Zhenghan2,3; Liu, Xun2,3; Engel, Andreas K.1
First AuthorNolte, Guido
Correspondent Emailg.nolte@uke.de (guido nolte)
Contribution Rank2
Abstract

A large variety of methods exist to estimate brain coupling in the frequency domain from electrophysiological data measured, e.g., by EEG and MEG. Those data are to reasonable approximation, though certainly not perfectly, Gaussian distributed. This work is based on the well-known fact that for Gaussian distributed data, the cross-spectrum completely determines all statistical properties. In particular, for an infinite number of data, all normalized coupling measures at a given frequency are a function of complex coherency. However, it is largely unknown what the functional relations are. We here present those functional relations for six different measures: the weighted phase lag index, the phase lag index, the absolute value and imaginary part of the phase locking value (PLV), power envelope correlation, and power envelope correlation with correction for artifacts of volume conduction. With the exception of PLV, the final results are simple closed form formulas. In an excursion we also discuss differences between short time Fourier transformation and Hilbert transformation for estimations in the frequency domain. We tested in simulations of linear and non-linear dynamical systems and for empirical resting state EEG on sensor level to what extent a model, namely the respective function of coherency, can explain the observed couplings. For empirical data we found that for measures of phase-phase coupling deviations from the model are in general minor, while power envelope correlations systematically deviate from the model for all frequencies. For power envelope correlation with correction for artifacts of volume conduction the model cannot explain the observed couplings at all. We also analyzed power envelope correlation as a function of time and frequency in an event related experiment using a stroop reaction task and found significant event related deviations mostly in the alpha range.

KeywordEEG MEG phase-phase coupling amplitude-amplitude coupling Gaussian distribution
2020-11-10
Language英语
DOI10.3389/fnins.2020.577574
Source PublicationFRONTIERS IN NEUROSCIENCE
Volume14Pages:17
Subtype实证研究
Indexed BySCI
Funding ProjectBMBF[161A130] ; German Research Foundation (DFG)[SFB936/A2/A3/Z3] ; German Research Foundation (DFG)[TRR169/B1/B4] ; German Research Foundation (DFG)[SPP2041/EN533/15-1] ; Landesforschungsforderung Hamburg (CROSS)[FV25]
PublisherFRONTIERS MEDIA SA
WOS KeywordINTRINSIC COUPLING MODES ; FUNCTIONAL CONNECTIVITY ; VOLUME-CONDUCTION ; PHASE SYNCHRONY ; MEG ; EEG ; COMMUNICATION ; DYNAMICS ; INDEX
WOS Research AreaNeurosciences & Neurology
WOS SubjectNeurosciences
WOS IDWOS:000591641400001
Citation statistics
Document Type期刊论文
Identifierhttp://ir.psych.ac.cn/handle/311026/33505
Collection中国科学院行为科学重点实验室
Corresponding AuthorNolte, Guido
Affiliation1.Univ Med Ctr Hamburg Eppendorf, Dept Neurophysiol & Pathophysiol, Hamburg, Germany
2.Chinese Acad Sci, Inst Psychol, Key Lab Behav Sci, Beijing, Peoples R China
3.Univ Chinese Acad Sci, Dept Psychol, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Nolte, Guido,Galindo-Leon, Edgar,Li, Zhenghan,et al. Mathematical Relations Between Measures of Brain Connectivity Estimated From Electrophysiological Recordings for Gaussian Distributed Data[J]. FRONTIERS IN NEUROSCIENCE,2020,14:17.
APA Nolte, Guido,Galindo-Leon, Edgar,Li, Zhenghan,Liu, Xun,&Engel, Andreas K..(2020).Mathematical Relations Between Measures of Brain Connectivity Estimated From Electrophysiological Recordings for Gaussian Distributed Data.FRONTIERS IN NEUROSCIENCE,14,17.
MLA Nolte, Guido,et al."Mathematical Relations Between Measures of Brain Connectivity Estimated From Electrophysiological Recordings for Gaussian Distributed Data".FRONTIERS IN NEUROSCIENCE 14(2020):17.
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