STOCHASTIC AND CHAOTIC EVALUATION OF PARAMETERS OF LECTROENCEPHALOGRAM
Abstract and keywords
Abstract (English):
Traditionally parameters of amplitude-frequency characteristics of recorded biopotentials are used in EEG. In this paper we show that they are still chaotic, which takes place for the autocorrelation function A(t). It is proposed the two new approaches for estimation of parameters of electroencephalograms. The first is based on the construction of the matrix of pairwise comparisons of recorded samples of brain potentials in subjects in different physiological (mental) states. The second method is based on calculating the parameters of quasi-attractors, which are built on the plane in the coordinates x1=U(t) – a function that changes due to registration of biopotential in cur-rent point and x2=dx1/dt - rate of change of x1. It is possible to construct a three-compartmental model quasi-attractor in the phase space of states, which is also discussed

Keywords:
chaos self-organization theory, quasi-attractors, elektroentsefalo-grams.
Text

Использование амплитудно-частотных характеристик (АЧХ) в практической электроэнцефалогрофии наталкивается на определенные трудности в связи с непрерывным изменением спектра ЭЭГ (рис. 1-А-II). Более того, другие статистические характеристики так же весьма изменчивы (речь идет о функциях распределения f(x) и о атокорреляционных функциях).

References

1. Gavrilenko T. V., Es´kov V. M., Kha-dartsev A. A., Khimikova O. I., Sokolova A. A. Novye metody dlya gerontologii v pro-gnozakh dolgozhitel´stva korennogo nasele-niya Yugry. Uspekhi gerontologii.– 2014.– T. 27, № 1.– S. 30–36.

2. Vedyasova O.A., Es´kov V. M., Fila-tova O. E. Sistemnyy kompartmentno-klasternyy analiz mekhanizmov ustoychivo-sti dykhatel´noy ritmiki mlekopitayushchikh monografiya; Rossiyskaya akad. nauk, Nauch. sovet po problemam biologicheskoy fizi-ki.– Samara, 2005.

3. Vedyasova O.A., Es´kov V.M., Zhivo-glyad R.N., Zuevskaya T.V., Popov Yu.M. So-otnoshenie mezhdu deterministskimi i khaoticheskimi podkhodami v modelirovanii sinergizma i ustoychivosti raboty dykha-tel´nogo tsentra mlekopitayushchikh. Vestnik novykh meditsinskikh tekhnologiy.– 2005.– T. 12, № 2.– S. 23–24.

4. Es´kov V.M., Maystrenko V.I., Maystrenko E.V., Filatov M.A., Filato-va D.Yu. Issledovanie korrelyatsii pokaza-teley funktsional´noy asimmetrii polu-shariy golovnogo mozga s rezul´tatami uchebnoy deyatel´nosti uchashchikhsya. Vestnik novykh meditsinskikh tekhnologiy.– 2007.– T. 14, № 3.– S. 205–207.

5. Es´kov V.M., Nanchenko E.A., Koz-lova V.V., Klimov O.V., Maystrenko E.V. Parametry kvaziattraktorov povedeniya vektora sostoyaniya organizma plovtsov. Vestnik novykh meditsinskikh tekhnologiy.– 2009.– T. 16, № 4.– S. 24–26.

6. Es´kov V.M., Braginskiy M.Ya., Kozlova V.V., Maystrenko E.V. Diagnosti-ka fiziologicheskikh funktsiy zhenshchin-plovtsov yugry metodom rascheta matrits mezhklasternykh rasstoyaniy. Sistemnyy analiz i upravlenie v biomeditsinskikh sistemakh.– 2010.– T. 9, № 3.– S. 500–504.

7. Es´kov V.M., Es´kov V.V., Kozlo-va V.V., Filatov M.A. Sposob korrekti-rovki lechebnogo ili fizkul´turno-sportivnogo vozdeystviya na organizm che-loveka v fazovom prostranstve sostoyaniy s pomoshch´yu matrits rasstoyaniy. patent na izobretenie RUS 2432895 ot 09.03.2010 g.

8. Es´kov V.M., Es´kov V.V., Filato-va O.E. Sposob korrektirovki lechebnogo ili lechebno-ozdorovitel´nogo vozdeystviya na patsienta. patent na izobretenie RUS 2433788 ot 01.02.2010 g.

9. Es´kov V.M., Filatova O.E., Kha-dartsev A.A., Khadartseva K.A. Fraktal´naya dinamika povedeniya chelovekomernykh sis-tem. Vestnik novykh meditsinskikh tekhno-logiy.– 2011.– T. 18, № 3.– S. 330–331.

10. Es´kov V.M., Es´kov V.V., Filato-va O.E., Khadartsev A.A. Osobye svoystva biosistem i ikh modelirovanie. Vestnik novykh meditsinskikh tekhnologiy.– 2011.– T. 18, № 3.– S. 331–332.

11. Es´kov V.M., Es´kov V.V., Gavri-lenko T.V., Zimin M.I.Neopredelennost´ v kvantovoy mekhanike i biofizike slozhnykh sistem. Vestnik Moskovskogo universiteta. Seriya 3: Fizika. Astronomiya.– 2014.– № 5.– S. 41–46.

12. Es´kov V.M., Es´kov V.V., Gavri-lenko T.V., Vakhmina Yu.V. Kinematika bio-sistem kak evolyutsiya: statsionarnye rezhi-my i skorost´ dvizheniya slozhnykh sistem – complexity. Vestn. Mosk. un-ta. Ser. 3. Fiz. Astron.– 2015.– № 2.

13. Kozupitsa G.S., Dayanova D.D., Bu-rykin Yu.G., Berestin D.K. Kompartment-no-klasternoe modelirovanie neoprede-lennostey v ramkakh determinizma. Slozh-nost´. Razum. Postneklassika.– 2014.– № 2.– S. 68–80.

14. Nifontova O.L., Burykin Yu.G., Maystrenko E.V., Khisamova A.V. Sistem-nyy analiz v sravnitel´noy otsenke antro-pometricheskikh pokazateley detey shkol´-nogo vozrasta Tyumenskogo severa. In-formatika i sistemy upravleniya.– 2010.– № 2.– S. 167–170.

15. Eskov V.M., Filatova O.E. Respira-tory rhythm generation in rats: the importance of inhibition. Neurophysiology.– 1993.– T. 25, № 6.– R. 420.

16. Eskov V.M., Kulaev S.V., Po-pov Yu.M., Filatova O.E. Computer technolo-gies in stability measurements on stationary states in dynamic biological systems. Mea-surement Techniques.– 2006.– T. 49, № 1.– R. 59–65.

17. Eskov V.M., Eskov V.V., Filato-va O.E. Medical and biological measurements: characteristic features of measurements and modeling for biosystems in phase spaces of states. Measurement Techniques.– 2011.– T. 53, № 12.– R. 1404–1410.

18. Eskov V.M., Eskov V.V., Bragins-kii M.Ya., Pashnin A.S. Determination of the degree of synergism of the human cardiorespi-ratory system under conditions of physical ef-fort. Measurement Techniques.– 2011.– T. 54, № 8.– R. 832–837.

Login or Create
* Forgot password?