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Volume 31 Issue 03
Mar.  2005
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Journal of Beijing University of Aeronautics and Astronautics  > 2005  >  31(03): 367-371.
Qu Xiaochuan, Li Zhenghang, Gong Xiaoyinget al. Analysis on ionospheric delay correction method of space-borne single-frequency GPS data[J]. Journal of Beijing University of Aeronautics and Astronautics, 2012, (2): 252-256. (in Chinese)
Citation: Chen Guo, Li Jing, Wei Chen, et al. On convergence of formula for forward problem in brain physics[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(03): 367-371. (in Chinese)
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On convergence of formula for forward problem in brain physics

  • School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

  • Received Date: 15 Sep 2003
  • Publish Date: 31 Mar 2005
    Abstract
  • In brain physics, the forward problem is the process of predicting scalp potentials distribution from known brain electrical source. The convergence of a forward problem algorithm was analyzed and proved through mathematic method for the first time. This formula calculated the scalp potentials distribution of the three layers concentric sphere head model caused by single dipole located at any point within the model. The convergence was further confirmed by numeric simulation. Thus the finite progression could be used to calculate the scalp potentials distribution in stead of the infinitive progression in a certain error range. A study on the convergence speed was conducted too. The result gives a theoretic guarantee for the finite approximation of the formula that is an infinite series. The approximation provides a useful tool for the backward problem, which is the process of predicting brain electrical source from known scalp potentials.

     

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  • [1] James P A, Stanley A K, Derek H F. Location of sources of evoked scalp potentials:corrections for skull and scalp thicknesses[J] IEEE Transaction Biomedical Engineering, 1981, BME-28(6):447~452 [2] Zhang G L. Source localization in quantitative electrophysiology . Singapore:School of Electrical and Electronic Engineering, Nanyang Technological University,2000 [3] 吴殿鸿,郭立文,贾 诚,等.脑物理学[M] 哈尔滨:哈尔滨工业大学出版社,1995.39~48 Wu Dianhong, Guo Liwen, Jia Cheng, et al. Brain physics[M] Harbin:Harbin Technology Institute Press, 1995. 39~48(in Chinese)
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