КФУ. Карточка публикации. Quantification of heart rate variability by discrete nonstationary non-Markov stochastic processes

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

Форма представления

Статьи в российских журналах и сборниках

Год публикации

2002

Авторы, сотрудники КФУ

Гафаров Фаиль Мубаракович, автор

Юльметьев Ренат Музипович, автор

Другие авторы

Peter Hänggi

Библиографическое описание на языке оригинала

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

Аннотация

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

Ключевые слова

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

Название журнала

PHYS REV E

URL

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

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https://repository.kpfu.ru/?p_id=89244

Полная запись метаданных

Поле DC	Значение	Язык
dc.contributor.author	Гафаров Фаиль Мубаракович	ru_RU
dc.contributor.author	Юльметьев Ренат Музипович	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/?p_id=89244	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	Статьи в российских журналах и сборниках	ru_RU