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Algorithms of estimation of the main rhythms of the electroencephalograms used for the diagnosing of the functioning of the human central nervous system and the initial ambulatory screening

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Abstract

A mathematical model and an algorithm for the statistical estimation of the frequencies of the main rhythms of human electroencephalograms (EEGs) are developed. Detailed description is presented by the example of three rhythms. A code for the computer-aided processing of EEGs, which implements this algorithm, is written. Using the statistical processing of the reliable experimental EEG sample, two criteria, which use processing of the O2-A2 signal of the patient’s EEG for making the decision about the level of health of the patient’s central nervous system (CNS), namely, to decide that the level of health of the patient’s CNS is normal or the patient suffers from the Parkinson’s disease, are formulated. After obtaining an additional information on the sample, it is possible to determine the probabilities of type one and type two errors in accepting the statistical hypotheses.

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References

  1. I. S. Beritov, Structure and Functions of the Cortex of Big Brain (Nauka, Moscow, 1969) [in Russian].

    Google Scholar 

  2. S. M. Osovets, D. A. Ginzburg, V. S. Gurfinkel’, et al., “Electrical Activity of Brain: Mechanisms and Interpretation,” Usp. Fiz. Nauk 141(1), 103–150 (1983).

    Article  Google Scholar 

  3. G. A. Shchekut’ev, “Methods of Electroencephalography,” in Neurophysiological Investigations in Clinic (Antidor, Moscow, 2001), pp. 16–24 [in Russian].

    Google Scholar 

  4. G. N. Boldyreva, “Stability of the Spectral-Coherent Behavior of the Human EEG,” Usp. Fiziolog. Nauk 25(1), 68–104 (1994).

    Google Scholar 

  5. V. G. Voronov, “Revealing of Statistically Significant Features in Frequency Spectra of Electroencephalograms,” in New Informational Technologies in Medicine and Technology (Proc. 8th Int. Conf., Gurzuf, Ukraina, June 1–10, 2000), pp. 244–245.

  6. Electrophysiological Analysis of Stationary Activity in Brain (Nauka, Moscow, 1983) [in Russian].

  7. L. S. Pontryagin, Ordinary Differential Equations (Nauka, Moscow, 1970) [in Russian].

    Google Scholar 

  8. V. I. Arnold, Ordinary Differential Equations (Nauka, Moscow, 1984; MIT Press, Cambridge, Mass., 1973).

    Google Scholar 

  9. A. O. Gel’fond, Calculus of Finite Differences (Nauka, Moscow, 1967) [in Russian].

    Google Scholar 

  10. Yu. V. Linnik, Method of Least Squares and Principles of the Mathematical-Statistical Theory of Observation Processing (Fizmatgiz, Moscow, 1962; Pergamon Press, Oxford, 1961).

    Google Scholar 

  11. A. E. Albert, Regression and the Moore-Penrose Pseudoinverse (Academic Press, New York, 1972; Nauka, Moscow, 1977).

    MATH  Google Scholar 

  12. Experimental Design in the Analysis of Manufacturing Processes, Ed. by E. K. Letskii (Mir, Moscow, 1977) [in Russian].

    Google Scholar 

Download references

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Original Russian Text © F.N. Grigor’ev, N.A. Kuznetsov, 2010, published in Informatsionnye Protsessy, 2010, Vol. 10, No. 4, pp. 325–333.

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Grigor’ev, F.N., Kuznetsov, N.A. Algorithms of estimation of the main rhythms of the electroencephalograms used for the diagnosing of the functioning of the human central nervous system and the initial ambulatory screening. J. Commun. Technol. Electron. 56, 1522–1526 (2011). https://doi.org/10.1134/S1064226911120047

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  • DOI: https://doi.org/10.1134/S1064226911120047

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