Казанский (Приволжский) федеральный университет, КФУ
КАЗАНСКИЙ
ФЕДЕРАЛЬНЫЙ УНИВЕРСИТЕТ
 
QUANTIFICATION OF HEART RATE VARIABILITY BY DISCRETE NONSTATIONARY NON-MARKOV STOCHASTIC PROCESSES
Форма представленияСтатьи в российских журналах и сборниках
Год публикации2002
  • 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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