Time-Varying Cardiovascular Oscillations

作者: V. N. Smelyanskiy , D. A. Timucin , D. G. Luchinsky , A. Stefanovska , A. Bandrivskyy

DOI: 10.1007/978-94-010-0179-3_40

关键词: Identification (information)InferenceHilbert–Huang transformNonlinear systemVan der Pol oscillatorAlgorithmRapid convergenceBayesian inferenceComputer scienceProbability density function

摘要: Signals derived from the human cardiovascular system (CVS) are exceptionally complex, being time-varying, noisy, and of necessarily limited duration. Yet an appropriate analysis them may be expected to yield detailed information about dynamics underlying physiological processes. A new approach modelhng CVS signals is proposed. It combines decomposition into principal modes a novel method parameter identification in nonlinear stochastic systems based on Bayesian inference. The scheme tested noisy Van der Pol oscillator, for which it yields rapid convergence correct inference known parameters. Preliminary applications data discussed.

参考文章(21)
E. A. Luchinskaya, Peter V. E. McClintock, T. Mullin, D. S. Broomhead, Stochastic and Chaotic Dynamics in the Lakes. American Institute of Physics. ,(2000)
Maja Brac̆ic̆, Characteristic frequencies of the human blood distribution system STOCHASTIC AND CHAOTIC DYNAMICS IN THE LAKES: STOCHAOS. ,vol. 502, pp. 146- 153 ,(2000) , 10.1063/1.1302378
Aneta Stefanovska, Maja Bracic Lotric, Saso Strle, Hermann Haken, The cardiovascular system as coupled oscillators Physiological Measurement. ,vol. 22, pp. 535- 550 ,(2001) , 10.1088/0967-3334/22/3/311
Norden E. Huang, Zheng Shen, Steven R. Long, Manli C. Wu, Hsing H. Shih, Quanan Zheng, Nai-Chyuan Yen, Chi Chao Tung, Henry H. Liu, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 454, pp. 903- 995 ,(1998) , 10.1098/RSPA.1998.0193
Christopher L. Bremer, Daniel T. Kaplan, Markov chain Monte Carlo estimation of nonlinear dynamics from time series Physica D: Nonlinear Phenomena. ,vol. 160, pp. 116- 126 ,(2001) , 10.1016/S0167-2789(01)00323-2
Renate Meyer, Nelson Christensen, Bayesian reconstruction of chaotic dynamical systems Physical Review E. ,vol. 62, pp. 3535- 3542 ,(2000) , 10.1103/PHYSREVE.62.3535
Aneta Stefanovska, Maja Bracic, Physics of the human cardiovascular system Contemporary Physics. ,vol. 40, pp. 31- 55 ,(1999) , 10.1080/001075199181693