中心球模型下EEG正问题的数值模拟

摘要

目前EEG已经成为脑功能研究和临床诊断的重要技术手段.在研究EEG反问题时,大量的EEG正问题的计算是必不可少的.一方面,基于加权残值边界元法建立EEG正问题的计算公式,针对中心球模型,对不同偶极子的位置和方向分别计算了脑皮电位势.另一方面,针对EEG正问题的数值模拟,比较脑皮电位势的数值解与解析解的差异.结果表明加权残值法较以往的有限元法、差分法计算效率和精度都明显提高.因此广泛应用在计算力学的研究中.%At present,EEC has become an important technical means in investigation of the brain function and clinical diagnosis. On the inverse problem of EEG,a lot of calculation of EEG forward problem is essential. In this paper,on the one hand,we develop a computing formula based on weighted residuals BEM; in center spherical head model, we compute the scalp potentials for different dipole position and orientation. On the other hand,we conduct simulation to EEG forward problem,and compare the numerical and analytical solutions of scalp potential. The results show that the weighted residual method has advantages of high computing efficiency and accuracy compared with FEM,DM. So it is widely used in computational mechanics.