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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 | |
第一作者 | Nolte, Guido |
通讯作者邮箱 | g.nolte@uke.de (guido nolte) |
心理所单位排序 | 2 |
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. |
关键词 | EEG MEG phase-phase coupling amplitude-amplitude coupling Gaussian distribution |
2020-11-10 | |
语种 | 英语 |
DOI | 10.3389/fnins.2020.577574 |
发表期刊 | FRONTIERS IN NEUROSCIENCE |
卷号 | 14页码:17 |
期刊论文类型 | 实证研究 |
收录类别 | SCI |
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] |
出版者 | FRONTIERS MEDIA SA |
WOS关键词 | INTRINSIC COUPLING MODES ; FUNCTIONAL CONNECTIVITY ; VOLUME-CONDUCTION ; PHASE SYNCHRONY ; MEG ; EEG ; COMMUNICATION ; DYNAMICS ; INDEX |
WOS研究方向 | Neurosciences & Neurology |
WOS类目 | Neurosciences |
WOS记录号 | WOS:000591641400001 |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.psych.ac.cn/handle/311026/33505 |
专题 | 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.Chinese Acad Sci, Inst Psychol, Key Lab Behav Sci, Beijing, Peoples R China 3.Univ Chinese Acad Sci, Dept Psychol, 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. |
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