Abstract
To analyze signals measured from human blood flow in the time-frequency domain, we used the wavelet transform which gives good time resolution for high-frequency components and good frequency resolution for low-frequency components. Five characteristic frequency peaks, corresponding to five almost periodic rhythmic activities, were found on the time scale of minutes. These oscillations were characterized by time and spatial invariant measures. The potential of this approach in studying the blood-flow dynamics was illustrated by revealing differences between the groups of control subjects and athletes.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Akselrod, S., D. Gordon, F. A. Ubel, D. C. Shannon, A. C. Berger and R. J. Choen (1981). Power spectrum analysis of heart rate fluctuation: a quantitative probe of beat-to-beat cardiovascular control. Science 213, 220–222.
Bračič, M. and A. Stefanovska (1998a) Nonlinear dynamics of the blood flow studied by Lyapunov exponents. Bull. Math. Biol. 60, 417–433.
Bračič, M. and A. Stefanovska (1998b) Wavelet analysis in studying the dynamics of blood circulation. Open Syst. Inform. Dynam., to appear.
Daubechies, I. (1992). Ten Lectures on Wavelets, Philadelphia: SIAM.
Di Renzo, M., G. Mancia, G. Parati, A. Pedotti and A. Zanchetti, (Eds) (1995). Computer Analysis of Cardiovascular Signals, Amsterdam: IOS Press.
Fourier, J. B. J. (1888). Theorie analytique de la chaleur, in Oeuvres de Fourier, G. Darboux (Ed.), 1st edn, Paris: Gauthiers-Villars.
Gabor, D. (1946). Theory of communication. J. IEE 93, 429–457.
Grossmann, A. and J. Morlet (1984). Decomposition of Hardy functions into square integrable wavelets of constant shape. SIAM J. Math. Anal. 15, 723–736.
Hyndman, B. W., R. I. Kitney and B. McA. Sayers (1971). Spontaneous rhythms in physiological control systems. Nature 233, 339–341.
Jonson, P. C. (1991). The myogenic response. NIPS 6, 41–42.
Kaiser, G. (1994). A Friendly Guide to Wavelets, Boston: Birkhäuser.
Kastrup, J., J. Bühlow and N. A. Lassen (1989). Vasomotion in human skin before and after local heating recorded with laser Doppler flowmetry. A method for induction of vasomotion. Int. J. Microcirc.: Clin. Exp. 8, 205–215.
Keselbrener, L. and S. Akselrod (1996). Selective discrete Fourier transform algorithm for time-frequency analysis: methods and application on simulated cardiovascular signals. IEEE Trans. Biom. Eng. BME-43, 789–802.
Kitney, R. I., T. Fulton, A. H. McDonald and D. A. Linkens (1985). Transient interactions between blood pressure, respiration and heart rate in man. J. Biomed. Eng. 7, 217–224.
Kvernmo, H. D., A. Stefanovska, K. A. Kirkebøen, B. Østerud and K. Kvernebo (1998). Microvascular reactivity and tissue plasmiogen activator reveal endothelial adaptation induced by physical conditioning. Eur. J. Appl. Physiol., submitted.
Morlet, J. (1983). Sampling theory and wave propagation, in Issues in Acoustic Signal/Image Processing and Recognition, NATO ASI Series, Vol. I, CH. Chen (Ed.), Berlin: Springer-Verlag.
Stefanovska, A. (1992). Self-organisation of biological systems influenced by electric currents, Dissertation, University of Ljubljana, Ljubljana.
Stefanovska, A., S. Strle, M. Bračič and H. Haken (1998) Model synthesis of the coupled oscillators which regulate human blood flow dynamics. Open Syst. Inform. Dynam., in press.
Stern, M. D. (1975) In vivo observation of microcirculation by coherent light scattering. Nature 254, 56–58.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Bračič, M., Stefanovska, A. Wavelet-based analysis of human blood-flow dynamics. Bull. Math. Biol. 60, 919–935 (1998). https://doi.org/10.1006/bulm.1998.0047
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1006/bulm.1998.0047