Multifractality, sample entropy, and wavelet analyses for age-related changes in the peripheral cardiovascular system: Preliminary results

Medical Physics

Volumn 35, Issue 2, 2008, Pages 717-723

  Humeau, Anne ^a,b   Chapeau Blondeau, François ^b   Rousseau, David ^b   Rousseau, Pascal ^c   Trzepizur, Wojciech ^c   Abraham, Pierre ^c  

^a Groupe Esaip   (France)

^b UNIVERSITÉ D'ANGERS   (France)

^c ANGERS UNIVERSITY HOSPITAL   (France)

Author keywords

Aging; H lder exponents; Laser Doppler; Microcirculation; Multifractality; Sample entropy; Scalogram; Time frequency representation

Indexed keywords

AGING OF MATERIALS; BLOOD VESSELS; CLASSIFIERS; DOPPLER EFFECT; ENTROPY; MICROCIRCULATION;

LASER DOPPLER; MULTIFRACTALITY; SAMPLE ENTROPY; SCALOGRAM; TIME-FREQUENCY REPRESENTATIONS;

WAVELET ANALYSIS;

ADULT; AGED; AGING; ARTICLE; CARDIOVASCULAR SYSTEM; CONTROLLED STUDY; ENTROPY; HUMAN; HUMAN EXPERIMENT; LASER DOPPLER FLOWMETRY; MICROVASCULARIZATION; NORMAL HUMAN; PRIORITY JOURNAL; SIGNAL PROCESSING; STATISTICAL SIGNIFICANCE;

EID: 38849161422     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.2831909     Document Type: Article

References (46)

1. D. T. Kaplan, M. I. Furman, S. M. Pincus, S. M. Ryan, L. A. Lipsitz, and A. L. Goldberger, " Aging and the complexity of cardiovascular dynamics., " Biophys. J. 59, 945-949 (1991).
2. L. A. Lipsitz and A. L. Goldberger, " Loss of 'complexity' and aging. Potential applications of fractals and chaos theory to senescence., " J. Am. Med. Assoc. 267, 1806-1809 (1992).
3. S. M. Pikkujamsa, T. H. Makikallio, L. B. Sourander, I. J. Raiha, P. Puukka, J. Skytta, C. K. Peng, A. L. Goldberger, and H. V. Huikuri, " Cardiac interbeat interval dynamics from childhood to senescence. Comparison of conventional and new measures based on fractals and chaos theory., " Circulation 100, 393-399 (1999).
4. A. L. Goldberger, L. A. N. Amaral, J. M. Hausdorff, P. Ch. Ivanov, C. K. Peng, and H. E. Stanley, " Fractal dynamics in physiology: Alterations with disease and aging., " Proc. Natl. Acad. Sci. U.S.A. 99, 2466-2472 (2002).
5. U. R. Acharya, N. Kannathal, O. W. Sing, L. Y. Ping, and T. Chua, " Heart rate analysis in normal subjects of various age groups., " Biomed. Eng. Online 3, 24-31 (2004).
6. A. M. Diosdado, F. A. Brown, and J. L. Del Rio Correa, " Changes in multifractality with aging and heart failure in heartbeat interval time series., " Proceedings of the 27th IEEE EMBS Annual International Conference, Shangai, China (2005).
7. A. Humeau, W. Steenbergen, H. Nilsson, and T. Strömberg, " Laser Doppler perfusion monitoring and imaging: Novel approaches., " Med. Biol. Eng. Comput. 45, 421-435 (2007).
8. A. Bollinger, A. Yanar, U. Hoffmann, and U. K. Franzeck, " Is high-frequency flux motion due to respiration or to vasomotion activity?, " in Vasomotion and Flow Motion: Progress in Applied Microcirculation, edited by, C. Allegra,,, M. Intaglietta,,, K. Messmer,, Basel, and Karger, (1993), Vol. 20, pp. 52-58.
9. H. D. Kvernmo, A. Stefanovska, M. Bracic, K. A. Kirkerboen, and K. Kvernebo, " Spectral analysis of the laser Doppler perfusion signal in human skin before and after exercise., " Microvasc. Res. 56, 173-182 (1998).
10. H. D. Kvernmo, A. Stefanovska, K. A. Kirkerboen, and K. Kvernebo, " Oscillations in the human cutaneous blood perfusion signal modified by endothelium-dependent and endothelium-independent vasodilators., " Microvasc. Res. 57, 298-309 (1999).
11. A. Stefanovska, M. Bracic, and H. D. Kvernmo, " Wavelet analysis of oscillations in the peripheral blood circulation measured by laser Doppler technique., " IEEE Trans. Biomed. Eng. 46, 1230-1239 (1999).
12. T. Söderström, A. Stefanovska, M. Veber, and H. Svensson, " Involvement of sympathetic nerve activity in skin blood flow oscillations in humans., " Am. J. Physiol. Heart Circ. Physiol. 284, H1638-H1646 (2003).
13. A. Humeau, A. Koïtka, P. Abraham, J. L. Saumet, and J. P. L'Huillier, " Spectral components of laser Doppler flowmetry signals recorded on healthy and type 1 diabetic subjects at rest and during a local and progressive cutaneous pressure application: Scalogram analyses., " Phys. Med. Biol. 49, 3957-3970 (2004).
14. A. Bernjak and A. Stefanovska, " Importance of wavelet analysis in laser Doppler flowmetry time series., " in Proceedings of the 29th Annual International Conference of the IEEE EMBS (August 2007), IEEE Catalog Number: 07CH37852C, pp. 4064-4067.
15. S. M. Debbal and F. Bereksi-Reguig, " Time-frequency analysis of the second cardiac sound in phonocardiogram signals., " Med. Phys. 32, 2911-2917 (2005).
16. M. Vetterli and C. Herley, " Wavelets and filter banks: theory and design., " IEEE Trans. Signal Process. 40, 2207-2232 (1992).
17. M. Bracic and A. Stefanovska, " Wavelet-based analysis of human blood-flow dynamics., " Bull. Math. Biol. 60, 919-935 (1998).
18. Task force of the ESC and the NASPE, " Heart rate variability. Standards of measurement, physiological interpretation, and clinical use., " Eur. Heart J. 17, 354-381 (1996).
19. P. Kvandal, A. Stefanovska, M. Veber, H. D. Kvermmo, and K. A. Kirkebøen, " Regulation of human cutaneous circulation evaluated by laser Doppler flowmetry, iontophoresis, and spectral analysis: Importance of nitric oxide and prostaglandins., " Microvasc. Res. 65, 160-171 (2003).
20. Z. R. Struzik, " Determining local singularity strengths and their spectra with the wavelet transform., " Fractals 8, 163-179 (2000).
21. J. F. Muzy, E. Bacry, and A. Arneodo, " Multifractal formalism for fractal signals: the structure-function approach versus the wavelet-transform modulus-maxima method., " Phys. Rev. E 47, 875-884 (1993).
22. J. F. Muzy, E. Bacry, and A. Arneodo, " The multifractal formalism revisited with wavelets., " Int. J. Bifurcation Chaos Appl. Sci. Eng. 4, 245-302 (1994).
23. N. Scafetta, L. Griffin, and B. J. West, " Hölder exponent spectra for human gait., " Physica A 328, 561-583 (2003).
24. P. Ch. Ivanov, L. A. N. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum, Z. R. Struzik, and H. E. Stanley, " Multifractality in human heartbeat dynamics., " Nature (London) 399, 461-465 (1999).
25. A. Humeau, F. Chapeau-Blondeau, D. Rousseau, M. Tartas, B. Fromy, and P. Abraham, " Multifractality in the peripheral cardiovascular system from pointwise Hölder exponents of laser Doppler flowmetry signals., " Biophys. J. 93, L59-L61 (2007).
26. J. L. Del Rio Correa and A. Munoz-Diosdado, " Further study of the asymmetry for multifractal spectra of heartbeat time series., " Conf. Proc. IEEE Eng. Med. Biol. Soc. 1, 1450-1453 (2006).
27. J. Istas and G. Lang, " Quadratic variations and estimation of the local Hölder index of a Gaussian process., " Ann. Inst. Henri Poincare 33, 407-436 (1997).
28. A. Ayache and J. LevyVehel, " On the identification of the pointwise Hölder exponent of the generalized multifractional Brownian motion., " Stochastic Proc. Appl. 111, 119-156 (2004).
29. J. Ĺvy V́hel and P. Legrand, " Signal and Image processing with FracLab., " FRACTAL04, Complexity and Fractals in Nature, 8th International Multidisciplinary Conference, April 4-7, 2004, Vancouver, Canada.
30. S. M. Pincus, " Approximate entropy as a measure of system complexity., " Proc. Natl. Acad. Sci. U.S.A. 88, 2297-2301 (1991).
31. S. M. Pincus, " Approximate entropy (ApEn) as a complexity measure., " Chaos 5, 110-117 (1995).
32. J. S. Richman and J. R. Moorman, " Physiological time-series analysis using approximate entropy and sample entropy., " Am. J. Physiol. Heart Circ. Physiol. 278, H2039-H2049 (2000).
33. D. E. Lake, J. S. Richman, M. P. Griffin, and J. R. Moorman, " Sample entropy analysis of neonatal heart rate variability., " Am. J. Physiol. Regulatory Integrative Comp. Physiol. 283, R789-R797 (2002).
34. H. M. Al-Angari and A. V. Sahakian, " Use of sample entropy approach to study heart rate variability in obstructive sleep apnea syndrome., " IEEE Trans. Biomed. Eng. 54 1900-1904 (2007).
35. L. J. Groome, D. M. Mooney, S. B. Holland, L. A. Smith, J. L. Atterbury, and P. C. Loizou, " Human fetuses have nonlinear cardiac dynamics., " J. Appl. Phys. 87, 530-537 (1999).
36. J. A. Palazzolo, F. G. Estafanoux, and P. A. Murray, " Entropy measures of heart rate variation in conscious dogs., " Am. J. Physiol. Heart Circ. Physiol. 274, H1099-H1105 (1998).
37. S. M. Pincus and A. L. Goldberger, " Physiological time-series analysis: what does regularity quantify?, " Am. J. Physiol. Heart Circ. Physiol. 266, H1643-H1656 (1994).
38. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, " Determining Lyapunov exponents from a time series., " Physica D 16, 285-317 (1985).
39. S. M. Pincus and R. R. Viscarello, " Approximate entropy: a regularity measure for fetal heart rate analysis., " Obstet. Gynecol. 79, 249-255 (1992).
40. A. Humeau, L. Fizanne, A. Garry, J. L. Saumet, and J. P. L'Huillier, " Signal processing methodology to study the cutaneous vasodilator response to a local external pressure application detected by laser Doppler flowmetry., " IEEE Trans. Biomed. Eng. 51, 190-192 (2004).
41. A. Humeau, A. Koïtka, P. Abraham, J. L. Saumet, and J. P. L'Huillier, " Time-frequency analysis of laser Doppler flowmetry signals recorded in response to a progressive pressure applied locally on anaesthetized healthy rats., " Phys. Med. Biol. 49, 843-857 (2004).
42. H. D. Kvernmo, A. Stefanovska, and K. A. Kirkebøen, " Enhanced endothelial activity reflected in cutaneous blood flow oscillations in athletes., " Eur. J. Appl. Physiol. 90, 16-22 (2003).
43. P. Ch. Ivanov, L. A. N. Amaral, A. L. Goldberger, S. Havlin, M. G. Rosenblum, H. E. Stanley, and Z. R. Struzik, " From 1/F noise to multifractal cascades in heartbeat dynamics., " Chaos 11, 641-652 (2001).
44. L. A. N. Amaral, P. Ch. Ivanov, N. Aoyagi, I. Hidaka, S. Tomono, A. L. Goldberger, H. E. Stanley, and Y. Yamamoto, " Behavioral-independent features of complex heartbeat dynamics., " Phys. Rev. Lett. 86, 6026-6029 (2001).
45. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
46. D. E. Vaillancourt and K. M. Newell, " Changing complexity in human behavior and physiology through aging and disease., " Neurobiol. Aging 23, 1-11 (2002).