本文選題：腦電正問題 + 有限元法�。� 參考：《貴州大學》2008年碩士論文

【摘要】： 腦功能的研究是生命科學研究中的前沿領域之一,其中腦電源的探索在臨床、康復、認知研究中占有重要地位,因此對腦電信號的研究就成為腦研究的熱點之一。在腦電正問題研究中,腦神經元所產生的電活動可用電流偶極子來模擬。1.本文提出把大腦看作各向異性介質球,即同時考慮電容效應、電導效應對腦內電流偶極子產生的電位的影響,并用有限元法推導出偶極子在各向異性介質球模型中的電位分布計算公式。結果表明介質的電容效應對電位分布是有影響的,反映了大腦活組織電特性,對外來不同頻率的信號刺激有不同的響應。同時有限元法對大腦內某一區(qū)域內電位分布求解表明,測量較深層組織的電特性變化敏感的特點,可獲得更多的測量信息。2.建立在三層介質球模型基礎上,運用電位多極展開理論對處于球內電流偶極子產生電位的解析解,并運用非線性動力學分析。
[Abstract]:The study of brain function is one of the frontier fields in life science, in which the exploration of brain power plays an important role in clinical, rehabilitation and cognitive research. Therefore, the study of EEG has become one of the hotspots of brain research. In the study of the positive problem of EEG, the electrical activity produced by the brain neurons can be simulated by the current dipole. In this paper, the brain is regarded as an anisotropic medium sphere, that is, the effect of capacitance and conductance on the potential produced by the current dipole in the brain is considered simultaneously. The formula of potential distribution of dipole in anisotropic medium sphere model is derived by finite element method. The results show that the capacitance effect of the medium has an effect on the potential distribution, which reflects the electrical properties of the brain living tissue, and has different responses to the external signal stimuli at different frequencies. At the same time, the finite element method is used to solve the potential distribution in a certain region of the brain. It shows that measuring the electrical characteristics of deeper tissues is sensitive and can obtain more information. Based on the three-layer dielectric sphere model, the potential multipole expansion theory is applied to the analytical solution of the potential generated by the current dipole in the sphere, and the nonlinear dynamic analysis is used.
【學位授予單位】：貴州大學
【學位級別】：碩士
【學位授予年份】：2008
【分類號】：R35

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