Boundary element fast multipole method for modeling electrical brain stimulation with voltage and current electrodes.
Boundary element fast multipole method for modeling electrical brain stimulation with voltage and current electrodes.
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DOI：
10.1088/1741-2552/ac17d7
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发表时间：
2021-08-19
影响因子：
4
通讯作者：
Nummenmaa AR
中科院分区：
文献类型：
--
作者：
Makarov SN;Golestanirad L;Wartman WA;Nguyen BT;Noetscher GM;Ahveninen JP;Fujimoto K;Weise K;Nummenmaa AR
制定、验证和应用一种替代有限元法（FEM）的脑电刺激高分辨率建模技术-边界元快速多极法（BEM-FMM）。包括表面和嵌入式电极的实用电极模型。边界元法的表面电荷密度积分方程与通用快速多极法相结合，并扩展到电压、分流、电流和浮动电极。耦合和适当加权/预置积分方程的解伴随着执行全局守恒定律：电荷守恒定律和基尔霍夫电流定律。与分析解决方案和简单验证几何图形相比，报告的准确度低于百分之一。与考虑真实头部模型的FEM相比，电场大小的相对差异在3-6%或更小。与FEM相比，包含高阶空间导数（如激活函数）的量以更高的精度和更快的速度确定。该方法可以很容易地与现有的头部建模管道（如headreco或mri2mesh）相结合。BEM-FMM不依赖于体积网格，因此特别适合模拟一些中尺度问题，具有亚毫米（可能更精细）的分辨率，在中等计算成本下具有高精度。利用亥姆霍兹互易原理，可以将该方法推广到具有大量皮质偶极子的脑电正演问题的求解中。
To formulate, validate, and apply an alternative to the finite element method (FEM) high-resolution modeling technique for electrical brain stimulation – the boundary element fast multipole method (BEM-FMM). To include practical electrode models for both surface and embedded electrodes. Integral equations of the boundary element method in terms of surface charge density are combined with a general-purpose fast multipole method and are expanded for voltage, shunt, current, and floating electrodes. The solution of coupled and properly weighted/preconditioned integral equations is accompanied by enforcing global conservation laws: charge conservation law and Kirchhoff’s current law. A sub-percent accuracy is reported as compared to the analytical solutions and simple validation geometries. Comparison to FEM considering realistic head models resulted in relative differences of the electric field magnitude in the range of 3–6% or less. Quantities that contain higher order spatial derivatives, such as the activating function, are determined with a higher accuracy and a faster speed as compared to the FEM. The method can be easily combined with existing head modeling pipelines such as headreco or mri2mesh. The BEM-FMM does not rely on a volumetric mesh and is therefore particularly suitable for modeling some mesoscale problems with submillimeter (and possibly finer) resolution with high accuracy at moderate computational cost. Utilizing Helmholtz reciprocity principle makes it possible to expand the method to a solution of EEG forward problems with a very large number of cortical dipoles.
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影响因子：
7.7
作者：
Bikson M;Brunoni AR;Charvet LE;Clark VP;Cohen LG;Deng ZD;Dmochowski J;Edwards DJ;Frohlich F;Kappenman ES;Lim KO;Loo C;Mantovani A;McMullen DP;Parra LC;Pearson M;Richardson JD;Rumsey JM;Sehatpour P;Sommers D;Unal G;Wassermann EM;Woods AJ;Lisanby SH
通讯作者：
Lisanby SH
细胞外田地和电流的起源-EEG，ECOG，LFP和尖峰。
DOI：
10.1038/nrn3241
发表时间：
2012-05-18
期刊：
Nature reviews. Neuroscience
影响因子：
--
作者：
Buzsáki G;Anastassiou CA;Koch C
通讯作者：
Koch C
DOI：
10.1080/21681163.2018.1523750
发表时间：
2019-01-01
影响因子：
1.6
作者：
Athawale, Tushar M.;Johnson, Kara A.;Johnson, Chris R.
通讯作者：
Johnson, Chris R.
影响因子：
22.4
作者：
Billock, Vincent A.;Tsou, Brian H.
通讯作者：
Tsou, Brian H.
影响因子：
3.2
作者：
Astrom, Mattias;Zrinzo, Ludvic U.;Wardell, Karin
通讯作者：
Wardell, Karin