Title
Localizing True Brain Interactions from EEG and MEG Data with Subspace Methods and Modified Beamformers.
Abstract
To address the problem of mixing in EEG or MEG connectivity analysis we exploit that noninteracting brain sources do not contribute systematically to the imaginary part of the cross-spectrum. Firstly, we propose to apply the existing subspace method "RAP-MUSIC" to the subspace found from the dominant singular vectors of the imaginary part of the cross-spectrum rather than to the conventionally used covariance matrix. Secondly, to estimate the specific sources interacting with each other, we use a modified LCMV-beamformer approach in which the source direction for each voxel was determined by maximizing the imaginary coherence with respect to a given reference. These two methods are applicable in this form only if the number of interacting sources is even, because odd-dimensional subspaces collapse to even-dimensional ones. Simulations show that (a) RAP-MUSIC based on the imaginary part of the cross-spectrum accurately finds the correct source locations, that (b) conventional RAP-MUSIC fails to do so since it is highly influenced by noninteracting sources, and that (c) the second method correctly identifies those sources which are interacting with the reference. The methods are also applied to real data for a motor paradigm, resulting in the localization of four interacting sources presumably in sensory-motor areas.
Year
DOI
Venue
2012
10.1155/2012/402341
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
Keywords
Field
DocType
electrophysiology,magnetoencephalography,electroencephalography,computer simulation,algorithms,brain mapping,fourier analysis
Voxel,Fourier analysis,Computer science,Theoretical computer science,Software,Artificial intelligence,Computer vision,Subspace topology,Algorithm,Linear subspace,Coherence (physics),Covariance matrix,Magnetoencephalography
Journal
Volume
ISSN
Citations 
2012
1748-670X
4
PageRank 
References 
Authors
0.46
12
3
Name
Order
Citations
PageRank
Forooz Shahbazi Avarvand1132.77
Arne Ewald2372.50
G Nolte353550.42