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Modelling of brain sources using the modified saint Venant's method in FEM resolution of EEG forward problem

机译:用修饰的圣文会在脑电图的FEM转发问题中使用修改的圣文会的脑源建模

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In order to reconstruct the electrical brain activities, both the inverse and the forward problems have to be solved. The inverse problem consists of finding brain activities (sources) which are responsible for the measured signals. The forward problem is calculating the potentials at the sensor electrodes placed on the scalp from a given source inside the brain. Its resolution involves models of head and models of sources. The finite-element method (FEM) is investigated in this paper for its ability to model realistic geometry and physical proprieties. However, using this method, the point source introduces singularity in the calculation and impacts the accuracy. Different techniques have been developed to avoid this singularity but the accuracy of the most techniques decrease as the current dipole approaches the interface of different tissues with different conductivities. In this paper, the forward problem is solved by the FEM using a spherical head model and the saint Venant's principle is used to avoid the source's singularity. Near the interface of different brain tissues, a modification on the saint Venant's method is introduced. Simulation results show that this new modification gives good accuracy as compared with the traditional approaches.
机译:为了重建电脑活动,必须解决反向和前向问题。逆问题包括找到负责测量信号的大脑活动(来源)。前向问题正在从大脑内部的给定源放置在头皮上的传感器电极处的电位。其分辨率涉及源头和模型的模型。本文研究了有限元方法(FEM),以便其模拟现实几何和物理专题的能力。但是,使用此方法,点源在计算中引入了奇点,并影响了准确性。已经开发出不同的技术来避免这种奇点,但大多数技术的准确性随着电流偶极机接近不同的组织的界面而降低的大多数技术的准确性降低。在本文中,使用球形头模型的有限元件解决了前向问题,圣文尼提的原理用于避免源的奇异性。在不同脑组织的界面附近,介绍了对圣文鸣的方法的改进。仿真结果表明,与传统方法相比,这一新改造提供了良好的准确性。

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