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2004 Fiscal Year Final Research Report Summary

Practical Identification of Dipolar Sources in Human Brain

Research Project

Project/Area Number 14550059
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Engineering fundamentals
Research InstitutionOsaka University

Principal Investigator

OHNAKA Kohzaburo  Osaka University, Graduate School of Engineering, Associate Professor, 大学院・工学研究科, 助教授 (60127199)

Co-Investigator(Kenkyū-buntansha) YAGI Atsushi  Osaka University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (70116119)
YAMAMOTO Yoshitaka  Osaka University, Graduate School of Information Science and Technology, Associate Professor, 大学院・情報科学研究科, 助教授 (30259915)
NAKAGUCHI Etsushi  Osaka University, Graduate School of Information Science and Technology, Assistant Professor, 大学院・情報科学研究科, 助手 (70304011)
OHE Takashi  Okayama University, Faculty of Informatics, Associate Professor, 総合情報学部, 助教授 (90258210)
YAMATANI Katsu  Shizuoka University, Faculty of Engineering, Assistant Professor, 工学部, 助手 (80293611)
Project Period (FY) 2002 – 2004
KeywordsInverse Source Problem / Dipole Model / Poisson Equation / Maxwell Equation / Numerical Method / Charge Simulation Method / Magnetoencephalogram
Research Abstract

In various fields of science and engineering, many problems can be considered as inverse problems for partial differential equations. One of such problems is to identify the electrical activity in the human brain from observation data of electric and magnetic fields called ElectroEncephaloGram and Magneto-EncephaloGram. Many researchers assume spherically symmetric conductor model for the human head and dipole model for the electrical activity of human brain. Our problem is to identify locations, moments, and number of dipolar sources in the human brain from observations of electric and magnetic fields outside of the human head.
Before this project, we have already proposed two identification methods for a quasi-static case using magnetic observations. In this project, we extend our investigations of such problems. The main results of our project are shown as follows :
1. Improvement of our method which is mentioned in our previous research. Without using a-priori information, improved method gives reasonable results with these error estimates.
2. By using electric and magnetic observations, we can obtain all components of dipolar sources.
3. Extension of governing equation such that Poisson equation is extended to Helmholtz equation or time harmonic Maxwell equation.
4. Uniqueness and convergence of numerical solution obtained by Charge Simulation Method.
The results are shown in references, and we are preparing two papers at the present time. Further discussions are needed for the analytical and numerical stability of identified results.

  • Research Products

    (12 results)

All 2004 2003 2002

All Journal Article (12 results)

  • [Journal Article] 3次元Helmholtz方程式に対する重み付き積分に基づいた複数点ソースの推定2004

    • Author(s)
      乾 裕一
    • Journal Title

      日本応用数理学会論文誌 14巻

      Pages: 179-192

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] On the Solvability of Complete Abstract Differential Equations of Elliptic Type2004

    • Author(s)
      A.Favini
    • Journal Title

      Funkcialaj Ekvacioj Vol.47

      Pages: 205-224

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Uniqueness and Convergence of Numerical Solution of the Cauchy Problem for the Laplace Equation by a Charge Simulation Method2004

    • Author(s)
      T.Ohe
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics Vol.21

      Pages: 339-359

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] An Identification Method of Point Sources for Three-dimensional Helmholtz Equation using Weighted Integral2004

    • Author(s)
      H.Inui, K.Ohnaka
    • Journal Title

      Transactions of the Japan Society for Industrial and Applied Mathematics (in Japanese) 14-3

      Pages: 179-192

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] On the Solvability of Complete Abstract Differential Equations of Elliptic Type2004

    • Author(s)
      A.Favini, R.Labbas, H.Tanabe, A.Yagi
    • Journal Title

      Funkcialaj Ekvacioj 47-2

      Pages: 205-224

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Uniqueness and Convergence of Numerical Solution of the Cauchy Problem for the Laplace Equation by a Charge Simulation Method2004

    • Author(s)
      T.Ohe, K.Ohnaka
    • Journal Title

      Japan Journal of Industrial and Applied Mathematics 21-3

      Pages: 339-359

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A Reliable Identification of Electric Current Dipoles using Harmonic Functions2003

    • Author(s)
      H.Inui
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.157

      Pages: 107-123

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A Reliable Identification of Electric Current Dipoles using Harmonic Functions2003

    • Author(s)
      H.Inui, K.Yamatani, K.Ohnaka
    • Journal Title

      Journal of Computational and Applied Mathematics 157-1

      Pages: 107-123

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Fully Discrete Approximation by Galerkin Runge- Kutta Methods for Quasilinear Parabolic Systems2002

    • Author(s)
      E.Nakaguchi
    • Journal Title

      Hokkaido Mathematical Journal Vol.31

      Pages: 385-429

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] An Identification Method of Electric Current Dipoles in Spherically Symmetric Conductor2002

    • Author(s)
      K.Yamatani
    • Journal Title

      Journal of Computational and Applied Mathematics Vol.143

      Pages: 189-200

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Fully Discrete Approximation by Galerkin Runge-Kutta Methods for Quasilinear Parabolic Systems2002

    • Author(s)
      E.Nakaguchi, A.Yagi
    • Journal Title

      Hokkaido Mathematical Journal 31-2

      Pages: 385-429

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] An Identification Method of Electric Current Dipoles in Spherically Symmetric Conductor2002

    • Author(s)
      K.Yamatani, T.Ohe, K.Ohnaka
    • Journal Title

      Journal of Computational and Applied Mathematics 143-2

      Pages: 189-200

    • Description
      「研究成果報告書概要(欧文)」より

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Published: 2006-07-11  

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