KFU. Card publication. Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes

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FEDERAL UNIVERSITY

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QUANTIFICATION OF HEART RATE VARIABILITY BY DISCRETE NONSTATIONARY NON-MARKOV STOCHASTIC PROCESSES

Form of presentation

Articles in Russian journals and collections

Year of publication

2002

Authors, employees of KFU

Gafarov Fail Mubarakovich, author

Yulmetev Renat Muzipovich, author

Other authors

Peter Hänggi

Bibliographic description in the original language

Renat Yulmetyev, Peter Hänggi, and Fail Gafarov, Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes Phys. Rev. E 65(4), 046107,2002

Annotation

We develop the statistical theory of discrete nonstationary non-Markov random processes in complex systems. The objective of this paper is to find the chain of finite-difference non-Markov kinetic equations for time correlation functions (TCF) in terms of nonstationary effects. The developed theory starts from careful analysis of time correlation through nonstationary dynamics of vectors of initial and final states and nonstationary normalized TCF. Using the projection operators technique we find the chain of finite-difference non-Markov kinetic equations for discrete nonstationary TCF and for the set of nonstationary discrete memory functions (MF?s). The last one contains supplementary information about nonstationary properties of the complex system on the whole. Another relevant result of our theory is the construction of the set of dynamic parameters of nonstationarity, which contains some information of the nonstationarity effects. The full set of dynamic, spectral and kinetic para

Keywords

Cardiovascular system; Chaos theory; Correlation methods; Electrocardiography; Functions; Kinetic theory; Large scale systems; Markov processes; Pathology; Probability;

The name of the journal

PHYS REV E

URL

http://journals.aps.org/pre/abstract/10.1103/PhysRevE.65.046107

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=89244&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Gafarov Fail Mubarakovich	ru_RU
dc.contributor.author	Yulmetev Renat Muzipovich	ru_RU
dc.date.accessioned	2002-01-01T00:00:00Z	ru_RU
dc.date.available	2002-01-01T00:00:00Z	ru_RU
dc.date.issued	2002	ru_RU
dc.identifier.citation	Renat Yulmetyev, Peter Hänggi, and Fail Gafarov, Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes Phys. Rev. E 65(4), 046107,2002	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=89244&p_lang=2	ru_RU
dc.description.abstract	PHYS REV E	ru_RU
dc.description.abstract	We develop the statistical theory of discrete nonstationary non-Markov random processes in complex systems. The objective of this paper is to find the chain of finite-difference non-Markov kinetic equations for time correlation functions (TCF) in terms of nonstationary effects. The developed theory starts from careful analysis of time correlation through nonstationary dynamics of vectors of initial and final states and nonstationary normalized TCF. Using the projection operators technique we find the chain of finite-difference non-Markov kinetic equations for discrete nonstationary TCF and for the set of nonstationary discrete memory functions (MF?s). The last one contains supplementary information about nonstationary properties of the complex system on the whole. Another relevant result of our theory is the construction of the set of dynamic parameters of nonstationarity, which contains some information of the nonstationarity effects. The full set of dynamic, spectral and kinetic para	ru_RU
dc.language.iso	ru	ru_RU
dc.subject		ru_RU
dc.title	Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes	ru_RU
dc.type	Articles in Russian journals and collections	ru_RU