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Estimation of effective brain connectivity with dual Kalman filter and EEG source localization methods

Australasian Physical & Engineering Sciences in Medicine volume 40, pages 675–686 (2017)Cite this article

Abstract

Effective connectivity is one of the most important considerations in brain functional mapping via EEG. It demonstrates the effects of a particular active brain region on others. In this paper, a new method is proposed which is based on dual Kalman filter. In this method, firstly by using a brain active localization method (standardized low resolution brain electromagnetic tomography) and applying it to EEG signal, active regions are extracted, and appropriate time model (multivariate autoregressive model) is fitted to extracted brain active sources for evaluating the activity and time dependence between sources. Then, dual Kalman filter is used to estimate model parameters or effective connectivity between active regions. The advantage of this method is the estimation of different brain parts activity simultaneously with the calculation of effective connectivity between active regions. By combining dual Kalman filter with brain source localization methods, in addition to the connectivity estimation between parts, source activity is updated during the time. The proposed method performance has been evaluated firstly by applying it to simulated EEG signals with interacting connectivity simulation between active parts. Noisy simulated signals with different signal to noise ratios are used for evaluating method sensitivity to noise and comparing proposed method performance with other methods. Then the method is applied to real signals and the estimation error during a sweeping window is calculated. By comparing proposed method results in different simulation (simulated and real signals), proposed method gives acceptable results with least mean square error in noisy or real conditions.

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Acknowledgements

This research has been supported by Cognitive Science and Technologies Council, Iran.

Author information

Affiliations

  1. Science and Research Branch, Islamic Azad University, Tehran, Iran

    Mehdi Rajabioun

  2. Department of Biomedical Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

    Ali Motie Nasrabadi

  3. Faculty of Electrical Engineering, Sharif University of Technology, Tehran, Iran

    Mohammad Bagher Shamsollahi

Authors
  1. Mehdi Rajabioun
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  2. Ali Motie Nasrabadi
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  3. Mohammad Bagher Shamsollahi
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Correspondence to Ali Motie Nasrabadi.

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Rajabioun, M., Nasrabadi, A.M. & Shamsollahi, M.B. Estimation of effective brain connectivity with dual Kalman filter and EEG source localization methods. Australas Phys Eng Sci Med 40, 675–686 (2017). https://doi.org/10.1007/s13246-017-0578-7

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  • DOI: https://doi.org/10.1007/s13246-017-0578-7

Keywords

  • Dual Kalman filter
  • Effective brain connectivity
  • Source localization methods
  • Multivariate autoregressive model