A Hybrid Volume-Surface-Wire Integral Equation for the Anisotropic Forward Problem in Electroencephalography
A Hybrid Volume-Surface-Wire Integral Equation for the Anisotropic Forward Problem in Electroencephalography
复制标题
脑电图各向异性正向问题的混合体积-表面-线积分方程
DOI：
10.1109/jerm.2020.2966121
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发表时间：
2020
影响因子：
--
通讯作者：
F. Andriulli
中科院分区：
文献类型：
--
作者：
Maxime Y. Monin;Lyes Rahmouni;Adrien Merlini;F. Andriulli
脑电正问题的求解是基于逆源定位的生物医学成像技术等广泛应用的基础。国家的最先进的电磁解算器诉诸于计算昂贵的体积离散化的全头，以考虑其复杂和异质的电剖面。边界元法（BEM）是生物医学成像领域中比较有效的方法，但由于其过分简化，采用分段一致逼近，严重限制了它在高分辨率脑电信号中的应用。这一贡献解除了标准的边界元法的约束条件，通过处理当地的各向异性与足够的电线和薄的体积积分方程，是专门为特定结构的纤维白色物质和不均匀的头骨。所提出的混合积分方程制剂，从而避免了完整的体积离散化的头部介质，并允许一个现实的和有效的BEM-like的解决方案的各向异性EEG正问题。所提出的配方的准确性和灵活性，通过涉及规范和现实的MRI为基础的头部模型的数值实验证明。
Solving the electroencephalography (EEG) forward problem is a fundamental step in a wide range of applications including biomedical imaging techniques based on inverse source localization. State-of-the-art electromagnetic solvers resort to a computationally expensive volumetric discretization of the full head to account for its complex and heterogeneous electric profile. The more efficient, popular in biomedical imaging circles, but unfortunately oversimplifying Boundary Element Method (BEM) relies instead on a piecewise-uniform approximation that severely curbs its application in high resolution EEGs. This contribution lifts the standard BEM constraints by treating the local anisotropies with adequate wire and thin volume integral equations that are tailored to specific structures of the fibrous white matter and the inhomogeneous skull. The proposed hybrid integral equation formulation thereby avoids the full volumetric discretization of the head medium and allows for a realistic and efficient BEM-like solution of the anisotropic EEG forward problem. The accuracy and flexibility of the proposed formulation is demonstrated through numerical experiments involving both canonical and realistic MRI-based head models.
影响因子：
5.7
作者：
Vorwerk, Johannes;Cho, Jae-Hyun;Wolters, Carsten H.
通讯作者：
Wolters, Carsten H.