DOI QR코드

DOI QR Code

개선된 다운힐 심플렉스 법을 이용한 주파수 영역에서의 뇌자도 신호원 추정

Magnetoencephalography Source Localization using Improved Downhill Simplex Method in Frequency Domain

  • Kim, Byeong-Jun (School of Electrical Engineering, Seoul National University) ;
  • An, Kwang-Ok (School of Electrical Engineering, Seoul National University) ;
  • Lee, Chany (School of Electrical Engineering, Seoul National University) ;
  • Jung, Hyun-Kyo (School of Electrical Engineering, Seoul National University)
  • 발행 : 2008.06.30

초록

Nelder-Mead downhill simplex method (DSM), a kind of deterministic optimization algorithms, has been used extensively for magnetoencephalography(MEG) dipolar source localization problems because it dose not require any functional differentiation. Like many other deterministic algorithms, however, it is very sensitive to the choice of initial positions and it can be easily trapped in local optima when being applied to complex inverse problems with multiple simultaneous sources. In this paper, some modifications have been made to make up for DSM's limitations and improve the accuracy of DSM. First of all, initial point determination method for DSM using magnetic fields on the sensor surface was proposed. Secondly, Univariant-DSM combined DSM with univariant method was proposed. To verify the performance of the proposed method, it was applied to simulated MEG data and practical MEG measurements.

키워드

참고문헌

  1. M.S. Hamalainen, R. Hari, R.J. Ilmoniemi, et al., 'Magnetoencephalography-theory, instrumentation and applications to noninvasive studies of the working human brain,' Rev. Mod. Phys., vol. 65, no. 2, pp. 413-497, 1993 https://doi.org/10.1103/RevModPhys.65.413
  2. S. BailIet, J.C. Mosher, and R.M. Leahy, 'Electromagnetic Brain Mapping,' IEEE Signal Process. Mag., pp.14-30, 2001
  3. M. Liljestrm, J. Kujala, O. Jensen, et al., 'Neuromagnetic localization of rhythmic activity in the human brain: a comparison of three methods,' Neurolmage, vol. 25, issue 3, pp. 734-745, 2005 https://doi.org/10.1016/j.neuroimage.2004.11.034
  4. J.A. Nelder and R. Mead, 'A simplex method for function minimization,' Computer Journal, vol. 7, pp. 308-313, 1965 https://doi.org/10.1093/comjnl/7.4.308
  5. J. Sarvas, 'Basic mathematical and electromagnetic concepts of the Biomagnetic inverse problem,' Phys. Med. Biol., vol. 32, pp. 11-22, 1987 https://doi.org/10.1088/0031-9155/32/1/004
  6. E.C. Ifeachor and B.W. Jervis, DigitalSignalProcessing. APracticalApproach, New York: Addison-Wesley, 1993, Chapter10
  7. B. Lutkenhoner, 'Frequency-domain localization of intracerebral dipolar sources,' Electroencephalography and Clinical Neurophysiology, vol. 82, pp. 112-118, 1992 https://doi.org/10.1016/0013-4694(92)90153-9
  8. W.H. Press, S.A. Teukolsky, W.T. Vetterling, et al., Numerical Recipes in C, The art of scientific computing second edition, Cambridge: Cambridge university press, 1992
  9. M. Huang, C.J. Ainc, S. Supek, et al., 'Multi-start downhill simplex method for spatio-temporal source localization in magnetoencephalography,' Electroenceph. clin. Neurophysiol., vol. 108,pp.32-44, 1998 https://doi.org/10.1016/S0168-5597(97)00091-9
  10. R.V. Uitert and C. Johnson, 'Can a Spherical Model Substitute for a Realistic Head Model in Forward and Inverse MEG Simulations?' Proc. Conf. Biomagnetism 2002, Jena, Germany, August. 2002, pp. 798-800
  11. R. Hari and R. Salmelin, 'Human cortical oscillations: a neuromagnetic view through the skull,' Trends in Neurosciences, vol. 20, pp. 44-49, 1997 https://doi.org/10.1016/S0166-2236(96)10065-5