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Boundary element method volume conductor models for EEG source reconstruction.

机译:用于脑电信号源重建的边界元法体导体模型。

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OBJECTIVES: The boundary element method (BEM) approximates the different compartments of volume conductor models by closed triangle meshes with a limited number of nodes. The shielding effect of the weakly conducting skull layer of the human head leads to decreasing potential gradients from the inside to the outside. Thus, there may be an optimum distribution of nodes to the compartments for a given number of nodes corresponding to a fixed computational effort, resulting in improved accuracy as compared to standard uniform distributions. METHODS: Spherical and realistically shaped surfaces are approximated by 500, 1000, 2000, and 3000 nodes, each leading to BEM models with 1500-9000 nodes in total. Electrodes are placed on extended 10/20-system positions. Potential distributions of test-dipoles at 4000 random positions within the innermost compartment are calculated. Dipoles are then fitted using 192 different models to find the optimum node distribution. RESULTS: Fitted dipole positions for all BEM models are evaluated to show the dependency of the averaged and maximum localization errors on their node distributions. Dipoles close to the innermost boundary exhibit the largest localization errors, which mainly depend on the refinement of this compartment's triangle mesh. CONCLUSIONS: More than 500 nodes per compartment are needed for reliable BEM models. For a state-of-the-art model consisting of 6000 nodes overall, the best model consists of 3000, 2000, and 1000 nodes from the inside to the outside.
机译:目的:边界元法(BEM)通过带有有限数量节点的闭合三角形网格来近似体积导体模型的不同部分。人头的颅骨较弱导电层的屏蔽作用导致从内部到外部的电势梯度减小。因此,对于给定数目的节点,对应于固定的计算量,节点到隔室的最优分布可能是最佳的,与标准的均匀分布相比,导致精度提高。方法:球形和逼真的形状的曲面分别近似于500、1000、2000和3000个节点,每个都生成了总共1500-9000个节点的BEM模型。电极放置在扩展的10/20系统位置上。计算了最内层隔室内4000个随机位置的测试偶极子的电位分布。然后使用192个不同模型拟合偶极子,以找到最佳节点分布。结果:对所有BEM模型的拟合偶极子位置进行了评估,以显示平均和最大定位误差对其节点分布的依赖性。靠近最内边界的偶极子显示出最大的定位误差,这主要取决于该隔室的三角形网格的细化程度。结论:可靠的BEM模型每个隔间需要500个以上的节点。对于总共包含6000个节点的最新模型,最佳模型从内到外包含3000、2000和1000个节点。

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