Abstract
A scheme based on the empirical mode decomposition (EMD) and synchrogram introduced by Wu and Hu [Phys. Rev. E 74, 051917 (2006)] to study cardiorespiratory synchronization is reviewed. In the scheme, an experimental respiratory signal is decomposed into a set of intrinsic mode functions (IMFs), and one of these IMFs is selected as a respiratory rhythm to construct the cardiorespiratory synchrogram incorporating with heartbeat data. The analysis of 20 data sets from ten young (21–34 years old) and ten elderly (68–81 years old) rigorously screened healthy subjects shows that regularity of respiratory signals plays a dominant role in cardiorespiratory synchronization.
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References
A.C. Guyton, Textbook of medical physiology, 8th ed. (Saunders, Philadelphia 1991).
L. Bernardi, F. Salvucci, R. Suardi, P.L. Solda, A. Calciati, S. Perlini, C. Falcone, and L. Ricciardi, Evidence for an intrinsic mechanism regulating heart-rate-variability in the transplanted and the intact heart during submaximal dynamic exercise, Cardiovasc. Res. 24,969–981 (1990).
J. Almasi and O.H. Schmitt, Basic technology of voluntary cardiorespiratory synchronization in electrocardiology, IEEE Trans. Biomed. Eng. 21, 264–273 (1974).
P. Tass, M.G. Rosenblum, J. Weule, J. Kurths, A. Pikovsky, J. Volkmann, A. Schnitzler, and H.-J. Freund, Detection of n:m Phase Locking from Noisy Data: Application to Magnetoencephalography, Phys. Rev. Lett. 31, 3291 (1998).
C. Schäfer, M.G. Rosenblum, J. Kurths, and H.-H. Abel, Heartbeat synchronized with ventilation, Nature (London) 392, 239–240 (1998).
C. Schäfer, M.G. Rosenblum, H.-H. Abel, and J. Kurths, Synchronization in the human cardiorespiratory system, Phys. Rev. E 60, 857 (1999).
M.G. Rosenblum, J. Kurths, A. Pikovsky, C. Schäfer, P. Tass, H.-H. Abel, Synchronization in noisy systems and cardiorespiratory interaction, IEEE Eng. Med. Biol. Mag. 17,46–53 (1998).
E. Toledo, S. Akselrod, I. Pinhas, and D. Aravot, Does synchronization reflect a true interaction in the cardiorespiratory system? Med. Eng. Phys. 24, 45–52 (2002).
E. Toledo, M.G. Roseblum, C. Schäfer, J. Kurhts, and S. Akselrod, Quantification of cardiorespiratory synchronization in normal and heart transplant subjects. In: Proc. of Int. Symposium on Nonlinear Theory and its Applications, vol. 1, Lausanne, Presses polytechniques et universitaries romandes, pp. 171–174 (1998).
E. Toledo, M.G. Rosenblum, J. Kurths, and S. Akselrod, Cardiorespiratory synchronization: is it a real phenomenon ? In: Computers in Cardiology, vol. 26, Los Alamitos (CA), IEEE Computer Society, pp. 237–240 (1999).
M.B. Lotric and A. Stefanovska, Synchronization and modulation in the human cardiorespiratory system, Physica A 283, 451–461 (2000).
R. Mrowka and A. Patzak, Quantitative analysis of cardiorespiratory synchronization in infants, Int. J. Bifurcation and Chaos 10, 2479–2488 (2000).
A. Stefanovska, H. Haken, P.V.E. McClintock, M. Hozic, F. Bajrovic, and S. Ribaric, Reversible transitions between synchronization states of the cardiorespiratory system, Phys. Rev. Lett. 85, 4831 (2000).
K. Kotani, K. Takamasu, Y. Ashkenazy, H.E. Stanley, and Y. Yamamoto, Model for cardiorespiratory synchronization in humans, Phys. Rev. E 65, 051923 (2002).
M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Phase synchronization of chaotic oscillators, Phys. Rev. Lett. 76, 1804 (1996).
R. Q. Quiroga, J. Arnhold, and P. Grassberger, Learning driver-response relationships from synchronization patterns, Phys. Rev. E 61, 5142 (2000).
R.Q. Quiroga, A. Kraskov, T. Kreuz, and P.P. Grassberger, Performance of different synchronization measures in real data: A case study on electroencephalographic signals, Phys. Rev. E 65, 041903 (2002).
M.G. Rosenblum, A.S. Pikovsky, and J. Kurths, Synchronization approach to analysis of biological systems, Fluctuation and Noise Lett. 4, L53–L62 (2004).
M.G. Rosenblum and A.S. Pikovsky, Controlling synchronization in an ensemble of globally coupled oscillators, Phys. Rev. Lett. 92, 114102 (2004).
T. Schreiber, Measuring information transfer, Phys. Rev. Lett. 85, 461 (2000).
M. Paluš and A. Stefanovska, Direction of coupling from phases of interacting oscillators: An information-theoretic approach, Phys. Rev. E 67, 055201(R) (2003).
J. Jamsek and A. Stefanovska, P.V.E. McClintock, Nonlinear cardio-respiratory interactions revealed by time-phase bispectral analysis, Phys. Med. Bio. 49, 4407–4425 (2004).
M. Richter, T. Schreiber, and D.T. Kaplan, Fetal ECG extraction with nonlinear state-space projections, IEEE Eng. Med. Biol. Mag. 45, 133–137 (1998).
R. Hegger, H. Kantz, and T. Schreiber, Practical implementation of nonlinear time series methods: The TISEAN package, Chaos 9, 413–435 (1999).
H. Kantz and T. Schreiber, Human EGG: Nonlinear deterministic versus stochastic aspects, IEE Proceedings – Science Measurement and Technology 145, 279–284 (1998).
M.-C. Wu and C.-K. Hu, Empirical mode decomposition and synchrogram approach to cardiorespiratory synchronization, Phys. Rev. E 73, 051917 (2006).
D. Gabor, Theory of communication, J. Inst. Electron Eng. 93, 429–457 (1946).
S. Blanco, R. Q. Quiroga, O.A. Rosso, and S.Kochen, Time-frequency analysis of electroencephalogram series, Phys. Rev. E 51, 2624 (1995).
S. Blanco, C.E. D’Attellis, S.I. Isaacson, O.A.Rosso, and R.O. Sirne, Time-frequency analysis of electroencephalogram series. II. Gabor and wavelet transforms, Phys. Rev. E 54, 6661 (1996).
S. Blanco, A. Figliola, R.Q. Quiroga, O.A. Rosso, and E. Serrano, Time-frequency analysis of electroencephalogram series. III. Wavelet packets, Phys. Rev. E 57, 932 (1998).
K. Ohashi, L.A.H. Amaral, B.H. Natelson, and Y. Yamamoto, Asymmetrical singularities in real-world signals, Phys. Rev. E 68, 065204(R) (2003).
K. Karhunen, Uber lineare methoden in der wahrscheinlichkeits-rechnung, Ann. Acad. Sci. Fennicae, ser. A1, Math. Phys. 37 (1946).
M.M. Loéve, Probability theory, Princeton, NJ, Van Nostrand (1955).
N.E. Huang, Z. Shen, S.R. Long, M.C. Wu, H.H. Shih, Q. Zheng, N.-C. Yen, C.-C. Tung, and H.H. Liu, The empirical mode decomposition and the Hilbert spectrum for nonlinear and non-stationary time series analysis, Proc. R. Soc. Lond. A 454, 903–995 (1998).
N. Iyengar, C.-K. Peng, R. Morin, A. L. Goldberger, and L. A. Lipsitz, Age-related alterations in the fractal scaling of cardiac interbeat interval dynamics, Am. J. Physiol. 271, 1078–1084 (1996). Data sets are available from http://physionet.org/physiobank/database/fantasia/
N.E. Huang, M.C. Wu, S.R. Long, S.S. P. Shen, W. Qu, P. Gloersen, and K.L. Fan, A confidence limit for the empirical mode decomposition and Hilbert spectral analysis, Proc. R. Soc. Lond. A 459, 2317–2345 (2003).
M. G. Roseblum and A. S. Pikovsky, Detecting direction of coupling in interacting oscillators, Phys. Rev. E 64, 045202(R) (2001).
M.-C. Wu, M.-C. Huang, Y.-C. Yu, and T. C. Chiang, Phase distribution and phase correlation of financial time series, Phys. Rev. E 73, 016118 (2006).
M.-C. Wu, Phase correlation of foreign exchange time series, Physica A 375, 633–642 (2007).
M.-C. Wu, Phase statistics approach to time series analysis, J. Korean Phys. Soc. 50,304–312 (2007).
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Wu, MC., Hu, CK. (2009). Application of Empirical Mode Decomposition to Cardiorespiratory Synchronization. In: Dana, S.K., Roy, P.K., Kurths, J. (eds) Complex Dynamics in Physiological Systems: From Heart to Brain. Understanding Complex Systems. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9143-8_11
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