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2001 Fiscal Year Final Research Report Summary

Identification of Dipoles in Bioengineering

Research Project

Project/Area Number 11650068
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) NAKAGUCHI Etsushi  Osaka University, Graduate School of Engineering, Research Assistant, 大学院・工学研究科, 助手 (70304011)
YAMAMOTO Yoshitaka  Osaka University, Graduate School of Engineering, Assistant Professor, 大学院・工学研究科, 講師 (30259915)
YAGI Atsushi  Osaka University, Graduate School of Engineering, Professor, 大学院・工学研究科, 教授 (70116119)
YAMATANI Katsu  Shizuoka University, Faculty of Engineering, Research Assistant, 工学部, 助手 (80293611)
OHE Takashi  Okayama University of Science, Faculty of Informatics, Associate Professor, 総合情報学部, 助教授 (90258210)
Project Period (FY) 1999 – 2001
KeywordsInverse Source Problem / Dipole Model / Poisson Equation / Boundary Integral / Charge Simulation Method / Magnetoencephalogram
Research Abstract

An important problem in bioengineering is to identify the activity of human brain from observation data of magnetic fields called Magneto Encephalo Gram. Many researchers assume spherically symmetric conductor model for the human head and dipole model for the activity of human brain. Our problem is to identify locations, moments, and number of dipoles in human brain from observations of magnetic induction outside of human head.
Before this project, we have already proposed the following two methods.
Method 1: Local search method based on weighted integrals for the two-dimensional case
Method 2: Global search method based on an extension of observations to the interior of three-dimensional domain
In this project, we extend Method 1 to three-dimensional problem, and give error estimates of identified results. However, Method 1 needs a priori information of locations, moments, and number of dipoles. Method 2 is applicable without any a priori information of dipoles. We construct a new method combining Method 1 and Method 2. Our proposed method gives reasonable identification results with practical error estimation.
At the present time, we are preparing a paper with respect to the proposed identification method. Further discussions are needed for the error caused by numerical integrations and noisy observations, and also needed for the arrangement of observation points

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] 山谷 克: "2次元Poisson方程式に対する複数多極子の直接的推定法"情報処理学会論文誌. 41. 990-997 (2000)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S-U.Ryu: "Optimal Control of Keller-Segel Equations"J. Mathematical Analysis and Applications. 256. 45-66 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] E.Nakaguchi: "Full Discrete Approximations by Galerkin Method for Chemotaxis-growth Model"Nonlinear Analysis, TMA. 47. 6097-6107 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] S.Kajihara: "Application of Moditied Simplex Method to Biomagnetic Inverse Problem"Biomag 2000 : Proc. 12th Internet, Conterence on Bio-magnetism, J. Nenomen, R.J.Llmonieri, and T.Katila(eds.). 729-732 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] M.Ikehata: "Numerical Method for finding the Convex Hull of Polygonal Cavities using Enclosure Method"Inverse Problems. (in press).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K.Yamatani: "An Identitication Method of Electric current Dipoles in Spherically Symmetric Conductor"J. Computational and Applied Mathematics. (in press).

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] K. Yamatani, K. Ohnaka: "Direct Estimation of Dipoles for Two-dimensional Poisson Equation (in Japanese)"Transactions of Information Processing Society. 41-4. 990-997 (2000)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] Sang-Uk Rye, A. Yagi: "Optimal Control of Keller-Segel Equations"Journal of Mathematical Analysis and Applications. 256-1. 45-66 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] E. Nakaguchi, A. Yagi: "Full Discrete Approximations by Galerkin Method for Chemotaxis-growth Model"Nonlinear Analysis, Theory, Methods & Applications. 47-9. 6097-6107 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] S. Kajihara, K. Yamatani, N. S. Yamaki, A. Arakawa, and Y. Yoshida: "Application of Modified simplex Method to Biomagnetic Inverse Problem"Biomag 2000, Proc. 12th International Conference on Biomagnetism, J. Neuromen, R. J. Limonieri, and T. Katila (eds.). 729-732 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] M. Ikehata, T. Ohe: "Numerical Method for finding the Convex of Polygonal Cavities using Enclosure Method"Invers Problems. (in press).

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] K. Yamatani, T. Ohe, and K. Ohnaka: "An Identification Method of Electric Current Diploes in Spherically Symmetric Conductor"Journal of Computational and Applied Mathematics. (in press).

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

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Published: 2003-09-17  

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