Skip to main content
SpringerLink
Log in

Combining Electric and Magnetic Data to Solve Inverse Problems of Electroencephalography

  • Published:
Computational Mathematics and Modeling Aims and scope Submit manuscript

The article examines two main methods of recording the activity of cerebral neuron sources – electroand magneto-encephalography. A spherical and an ellipsoidal model of the head are considered. EEG and MEG data are shown to depend on the initial parameters (source position and orientation). The two methods can be combined for solving the inverse problem of electroencephalography.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. G. A. Grinberg, Selected Issues in Mathematical Theory of Electric and Magnetic Phenomena [in Russian], Izd. Acad. Nauk SSSR, Moscow (1948).

  2. L. D. Landau, E. M. Lifshits, and L. P. Pitaevskii, Electrodynamics of Continua [in Russian], Fizmatlit, Moscow (2005).

    Google Scholar 

  3. A. M. Popov, “Solving the inverse EEG problem by stochastic pattern recognition methods,” Vestn. MGU, Ser. 15: Vychisl. Matem. Kibern., No. 3, 91–100 (2006).

  4. V. V. Gnezditskii, Inverse EEG Problem and Clinical Electroencephalography (Mapping and Localization of Sources of Electrical Activity in the Brain), MedPress Inform., Moscow (2004).

    Google Scholar 

  5. J. P. Ary, S. A. Klein, and D. H. Fender, “Location of sources of evoked scalp potentials: corrections for skull and scalp thickness,” IEEE Trans. Biomed. Eng., 28, No. 6, 447–452 (1981).

    Article  Google Scholar 

  6. E. V. Zakharov and R. E. Zimozdra, “Applicability boundaries of the spherical model for solving electroencephalography problems,” Vestn. MGU, Ser. 14: Vychisl. Mat. Kibern., No. 3, 14–18 (2014).

  7. M. Hamalainen, R. Hari, R. J. Ilmoniemi and others, “Magnetoencephalography — theory, instrumentation, and applications to noninvasive studies of the working human brain,” Reviews of Modern Physics, 65, No. 2, 413–497 (1993).

  8. J. C. Mosher, R. M. Leahy, and P. S. Lewis, “EEG and MEG: forward solutions for inverse methods,” IEEE Trans. Biomed. Eng., 46, No. 3, 245–259 (1999).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Computational Mathematics and Cybernetics, Moscow State University, Moscow, Russia

    R. E. Zimozdra

Authors
  1. R. E. Zimozdra
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. E. Zimozdra.

Additional information

Translated from Prikladnaya Matematika i Informatika, No. 48, 2015, pp. 27–34.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zimozdra, R.E. Combining Electric and Magnetic Data to Solve Inverse Problems of Electroencephalography. Comput Math Model 27, 20–25 (2016). https://doi.org/10.1007/s10598-015-9300-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10598-015-9300-3

Keywords

Search

Navigation