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2002 Fiscal Year Final Research Report Summary

Space-Time analysis of 4-dimensional data of the blood flow measurement in brains

Research Project

Project/Area Number 13650475
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Measurement engineering
Research InstitutionInstitute of Statistical Mathematics

Principal Investigator

OZAKI Tohru  ISM, Dept. of Prediction and Control, Prof., 予測制御研究系, 教授 (00000208)

Co-Investigator(Kenkyū-buntansha) ISHIGURO Makio  ISM, Dept. of Prediction and Control, Prof., 予測制御研究系, 教授 (10000217)
SADATOU Norihiro  National Okazaki Cooperative Research, Institute of Physiology, Prof., 生理学研究所, 教授 (00273003)
TAKIZAWA Yumi  ISM, Dept. of Prediction and Control, Asst. Prof., 予測制御研究系, 助教授 (90280528)
Project Period (FY) 2001 – 2002
KeywordsHemodynamics / fMRI modeling / Spatial time series model / Innovation Approach / EEG modeling / Inverse Problem / Dynamic Inverse problem / Space-tine Kalman filter
Research Abstract

Although fMRI data is time-dependent data, it has been analyzed by spatial statisticians without proper attention to the dynamic part. This is because the data is also spatial data at the same time and the statistical analysis has been done by specialists of spatial statistics in the early stage of the development. In the present study, we take a reversal approach, where we treat the data as a 140,000 dimensional time series and tried to find some causal structure in the data using the innovation approach in time series analysis. We also applied the same idea to the solution of inverse problem for EEG data using spatial Kalman filtering scheme. This provides us with a useful tool for dynamic extension of Inverse Solution of ill-posed problems.

  • Research Products

    (12 results)

All Other

All Publications (12 results)

  • [Publications] F.Miwakeishi, R.Ramirez-Pardon, P.Valdes-Sosa, T.Ozaki: "A comparison of non-linear non-parametric models for epilepsy data"Computers in Biology and Medicine. 31. 41-57 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] J.C.Jimenez, T.Ozaki: "Linear estimation of continuous-discrete state space models with multiplicative noise"Systems and Control Letters. 47. 91-101 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] T.Ozaki, M.Iino: "An innovation approach to non-Gaussian time series analysis"Journal of Application and Probability. 38A. 78-92 (2001)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] A.Galka, T.Ozaki, O.Yamashita, R.J.Biscay, P.Valdes-Sosa: "A solution to the dynamical inverse problem of EEG generation using spatiotemporal Kalman filtering"Research Memorandum No.862, Institute of Statistical Mathematics. 1-19 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] H.Kato, T.Ozaki: "Adding data process feed back to the nonlinear autoregressive model"Signal Processing. 82. 107-124 (2002)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] O.Yamashita, T.Ozaki, R.J.Biscay, P.Valdes-Sosa: "Dynamic inverse problem and the practical computation procedure for the solution"Research Memorandum No.868, Institute of Statistical Mathematics. 1-15 (2003)

    • Description
      「研究成果報告書概要(和文)」より
  • [Publications] F.Miwakeishi, R.RamirezPardon P.Valdes-Sosa, T. Ozaki: "A comparison of non-linear non-parametric models for epilepsy data"Computers in Biology and Medicine. v.31. 41-57 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] J.C.Jimenez, T.Ozaki: "Linear estimation of continuous-discrete state space models with multiplicative noise"Systems and Contorl Letters. v.47. 91-101 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] T.Ozaki, M.Iino: "An innovation approach to non-Gaussian time series analysis"Journal of Application and Probability. v.38A. 78-92 (2001)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] A.Gaika. T.Ozaki, O.Yamashita, R.J.Biscay, P.Valdes-Sosa: "A solution to the dynamical inverse problem of EEG generation using spatiotemporaI Kaiman filtering"Research Memorandum. No.862, ISM. 1-19 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] H.Kato, T.Ozaki: "Adding data process feed back to the nonlinear autoregressive model"Signal Processing. v.82. 107-124 (2002)

    • Description
      「研究成果報告書概要(欧文)」より
  • [Publications] O.Yamashrta, T.Ozaki, R.J.Biscay, P.Valdes-Sosa: "Dynamic inverse problem and the practical computation procedure for the solution"Research Memorandum. No.868, ISM. 1-15 (2003)

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

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Published: 2004-04-14  

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