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[边界元离散化对脑电图和脑磁图正向计算及逆问题的影响]

[Effect of boundary element discretization on forward calculation and the inverse problem in electroencephalography and magnetoencephalography].

作者信息

Haueisen J, Böttner A, Funke M, Brauer H, Nowak H

机构信息

Biomagnetisches Zentrum, Friedrich-Schiller-Universität Jena.

出版信息

Biomed Tech (Berl). 1997 Sep;42(9):240-8. doi: 10.1515/bmte.1997.42.9.240.

Abstract

Modelling in magnetoencephalography (MEG) and electroencephalography (EEG) is increasingly based on the boundary element method (BEM). We quantify the influence of boundary element discretization on the neuromagnetic and neuroelectric forward and inverse problem for different dipole depths, brain regions and the quasispherical correction. In particular we derive standards for the general use of BEM models in MEG/EEG source localization. For this purpose simulation with single current dipoles, and source reconstructions from somatosensory evoked potentials and magnetic fields were employed. It was found that both local and global discretization influence source reconstruction. Only at a minimum triangle side length of 10 mm was it possible to achieve stable results for MEG and EEG. In order to obtain acceptable errors within the stable region, the ratio of dipole depth to triangle side length must not be less than 0.5. The results obtained from a comparison of the different brain regions indicate that the similarity to spherical geometry might well have an influence on the estimated dipole location, but not so much on its strength. Source reconstruction employing quasispherical correction was found to be the most stable, in particular in the case of coarse BEM discretization.

摘要

脑磁图(MEG)和脑电图(EEG)建模越来越多地基于边界元法(BEM)。我们针对不同的偶极深度、脑区和准球形校正,量化了边界元离散化对神经磁和神经电正问题及逆问题的影响。特别是,我们推导了BEM模型在MEG/EEG源定位中普遍使用的标准。为此,采用了单电流偶极模拟以及体感诱发电位和磁场的源重建。结果发现,局部和全局离散化都会影响源重建。只有在最小三角形边长为10毫米时,MEG和EEG才能获得稳定的结果。为了在稳定区域内获得可接受的误差,偶极深度与三角形边长的比值不得小于0.5。不同脑区比较的结果表明,与球形几何形状的相似性很可能会影响估计的偶极位置,但对其强度影响不大。发现采用准球形校正的源重建最为稳定,尤其是在BEM离散化较粗的情况下。

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