Florida Atlantic University, Center for Complex Systems and Brain Sciences, Boca Raton, FL, USA.
J Neurosci Methods. 2013 Aug 15;218(1):96-102. doi: 10.1016/j.jneumeth.2013.05.001. Epub 2013 Jun 11.
Beamforming offers a way to estimate the solution to the inverse problem in EEG and MEG but is also known to perform poorly in the presence of highly correlated sources, e.g. during binaural auditory stimulation, when both left and right primary auditory cortices are activated simultaneously. Surface Laplacian, or the second spatial derivative calculated from the electric potential, allows for deblurring of EEG potential recordings reducing the effects of low skull conductivity and is independent of the reference electrode location. We show that anatomically constrained beamforming in conjunction with the surface Laplacian allows for detection of both locations and dynamics of temporally correlated sources in EEG. Whole-head 122 channel binaural stimulus EEG data were simulated using a boundary element method (BEM) and realistic geometry forward model. We demonstrate that in contrast to conventional potential-based EEG beamforming, Laplacian beamforming allows to determine locations of correlated source dipoles without any a priori assumption about the number of sources. We also show (by providing simulations of auditory evoked potentials) that the dynamics at the detected source locations can be derived from subsets of electrodes. Deblurring auditory evoked potential maps subdivides EEG signals from each hemisphere and allows for the beamformer to be applied separately for left and right hemispheres.
波束形成提供了一种估计 EEG 和 MEG 逆问题解的方法,但在源高度相关的情况下表现不佳,例如在双耳听觉刺激期间,左右初级听觉皮层同时被激活。表面拉普拉斯算子,或从电势计算的第二个空间导数,允许对 EEG 电位记录进行去模糊处理,减少低颅骨电导率的影响,并且与参考电极位置无关。我们表明,结合表面拉普拉斯算子的解剖约束波束形成允许检测 EEG 中时间相关源的位置和动态。使用边界元方法 (BEM) 和逼真的几何前向模型模拟了全头 122 通道双耳刺激 EEG 数据。我们证明,与传统的基于电位的 EEG 波束形成相比,拉普拉斯波束形成允许在不预先假设源数量的情况下确定相关源偶极子的位置。我们还通过提供听觉诱发电位的模拟来证明,在检测到的源位置的动力学可以从电极子集推导出来。去模糊听觉诱发电位图将每个半球的 EEG 信号分开,并允许波束形成器分别应用于左右半球。