Mathematical Relations Between Measures of Brain Connectivity Estimated From Electrophysiological Recordings for Gaussian Distributed Data
文献类型:期刊论文
作者 | Nolte, Guido1; Galindo-Leon, Edgar1; Li, Zhenghan2,3; Liu, Xun2,3![]() |
刊名 | FRONTIERS IN NEUROSCIENCE
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出版日期 | 2020-11-10 |
卷号 | 14页码:17 |
关键词 | EEG MEG phase-phase coupling amplitude-amplitude coupling Gaussian distribution |
DOI | 10.3389/fnins.2020.577574 |
通讯作者 | Nolte, Guido(g.nolte@uke.de) |
英文摘要 | 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. |
WOS关键词 | INTRINSIC COUPLING MODES ; FUNCTIONAL CONNECTIVITY ; VOLUME-CONDUCTION ; PHASE SYNCHRONY ; MEG ; EEG ; COMMUNICATION ; DYNAMICS ; INDEX |
资助项目 | BMBF[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] |
WOS研究方向 | Neurosciences & Neurology |
语种 | 英语 |
WOS记录号 | WOS:000591641400001 |
出版者 | FRONTIERS MEDIA SA |
源URL | [http://ir.psych.ac.cn/handle/311026/33505] ![]() |
专题 | 心理研究所_中国科学院行为科学重点实验室 |
通讯作者 | Nolte, Guido |
作者单位 | 1.Univ Med Ctr Hamburg Eppendorf, Dept Neurophysiol & Pathophysiol, Hamburg, Germany 2.Univ Chinese Acad Sci, Dept Psychol, Beijing, Peoples R China 3.Chinese Acad Sci, Inst Psychol, Key Lab Behav Sci, Beijing, Peoples R China |
推荐引用方式 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. |
入库方式: OAI收割
来源:心理研究所
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