Journal Article10.3109/00207458808986175
Current Source Density Estimation and Interpolation Based on the Spherical Harmonic Fourier Expansion
66
TL;DR: Cross-validation studies for the objective comparison of different interpolation methods demonstrate the superiority of the SHE over the commonly used methods based on the weighted average of the nearest three and four neighbor values.
read more
Abstract: A method for the spatial analysis of EEG and EP data, based on the spherical harmonic Fourier expansion (SHE) of scalp potential measurements, is described. This model provides efficient and accurate formulas for: (1) the computation of the surface Laplacian and (2) the interpolation of electrical potentials, current source densities, test statistics and other derived variables. Physiologically based simulation experiments show that the SHE method gives better estimates of the surface Laplacian than the commonly used finite difference method. Cross-validation studies for the objective comparison of different interpolation methods demonstrate the superiority of the SHE over the commonly used methods based on the weighted (inverse distance) average of the nearest three and four neighbor values.
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
EEG coherency: I: statistics, reference electrode, volume conduction, Laplacians, cortical imaging, and interpretation at multiple scales
Paul L. Nunez,Ramesh Srinivasan,Andrew F. Westdorp,Andrew F. Westdorp,Ranjith S. Wijesinghe,Ranjith S. Wijesinghe,Don M. Tucker,Richard B. Silberstein,Peter J. Cadusch +8 more
TL;DR: Conventional reference, average reference, bipolar, Laplacian, and cortical image coherencies are shown to be partly independent measures of neocortical dynamic function at different spatial scales, due to each method's unique spatial filtering of intracranial source activity.
1.3K
EEG coherence in Alzheimer's disease.
TL;DR: EEG coherence in patients affected by clinically probable Alzheimer's disease (AD) showed a significant decrease of alpha band coherence, in particular in temporo-parieto-occipital areas, more evident in patients with a more severe cognitive impairment.
364
International Federation of Clinical Neurophysiology (IFCN) – EEG research workgroup: Recommendations on frequency and topographic analysis of resting state EEG rhythms. Part 1: Applications in clinical research studies
Claudio Babiloni,Robert J. Barry,Erol Başar,Katarzyna J. Blinowska,Andrzej Cichocki,Wilhelmus Drinkenburg,Wolfgang Klimesch,Rob Knight,Fernando H. Lopes da Silva,Paul L. Nunez,Robert Oostenveld,Jaeseung Jeong,Roberto D. Pascual-Marqui,Pedro A. Valdes-Sosa,Mark Hallett +14 more
TL;DR: A Workgroup of IFCN experts presents unanimous recommendations on the following procedures relevant for the topographic and frequency analysis of resting state EEGs (rsEEGs) in clinical research, and endorsed the use of the most promising "synchronization" and "connectivity" features for clinical research.
241
Issues and considerations for using the scalp surface Laplacian in EEG/ERP research: A tutorial review.
Jürgen Kayser,Craig E. Tenke +1 more
TL;DR: Common reservations against the universal use of the surface Laplacian are reviewed and argued from a pragmatic perspective that not only are these reservations unfounded but that the continued predominant use of surface potentials poses a considerable impediment on the progress of EEG and ERP research.
238
On the benefits of using surface Laplacian (Current Source Density) methodology in electrophysiology
Jürgen Kayser,Craig E. Tenke +1 more
TL;DR: The surface Laplacian (SL), a group of mathematical algorithms that transform the scalprecorded EEG into estimates of radial current flow at scalp, offers several critical advantages over surface potentials and over popular algorithms that try to infer the underlying neuronal brain sources in 3-D space.
237
References
Cross-Validatory Choice and Assessment of Statistical Predictions
TL;DR: In this article, a generalized form of the cross-validation criterion is applied to the choice and assessment of prediction using the data-analytic concept of a prescription, and examples used to illustrate the application are drawn from the problem areas of univariate estimation, linear regression and analysis of variance.
9.6K
•Book
The jackknife, the bootstrap, and other resampling plans
Bradley Efron
- 01 Jan 1987
TL;DR: The Delta Method and the Influence Function Cross-Validation, Jackknife and Bootstrap Balanced Repeated Replication (half-sampling) Random Subsampling Nonparametric Confidence Intervals as mentioned in this paper.
9K
Cross-Validatory Choice and Assessment of Statistical Predictions (With Discussion)
TL;DR: A generalized form of the cross-validation criterion is applied to the choice and assessment of prediction using the data-analytic concept of a prescription.
6.4K