Generalized fractal dimensions of laser Doppler flowmetry signals recorded from glabrous and nonglabrous skin

Medical Physics

Volumn 37, Issue 6, 2010, Pages 2827-2836

  Buard, Benjamin ^a,b   Mah́, Guillaume ^c   Chapeau Blondeau, Fraņois ^b   Rousseau, David ^b   Abraham, Pierre ^c   Humeau, Anne ^b  

^a Groupe Esaip   (France)

^b Lab d'Ingenierie Syst Automatises   (France)

^c ANGERS UNIVERSITY HOSPITAL   (France)

Author keywords

Biomedical engineering; Generalized dimension; Glabrous skin; Laser Doppler flowmetry; Microcirculation; Multifractal analysis; Partition function; Spatial variation

Indexed keywords

BIOMEDICAL ENGINEERING; CARDIOVASCULAR SYSTEM; CLASSIFIERS; DOPPLER EFFECT; FLOW MEASUREMENT; FLOWMETERS; MICROCIRCULATION; SIGNAL PROCESSING;

GENERALIZED DIMENSION; LASER DOPPLER FLOWMETRY; MULTIFRACTAL ANALYSIS; PARTITION FUNCTIONS; SPATIAL VARIATIONS;

FRACTAL DIMENSION;

FISTULA;

EID: 77953529890     PISSN: 00942405     EISSN: None     Source Type: Journal    
DOI: 10.1118/1.3395577     Document Type: Article

References (42)

1. M. D. Stern, " In vivo evaluation of microcirculation by coherent light scattering.," Nature (London) NATUAS 0028-0836 254, 56-58 (1975). 10.1038/254056a0
2. R. F. Bonner and R. Nossal, " Principles of laser-Doppler flowmetry.," in Laser-Doppler Blood Flowmetry, edited by, A. P. Shepherd, and, P. A. Oberg, (Kluwer Academic, Boston, MA, 1990), pp. 17-45.
3. A. Humeau, W. Steenbergen, H. Nilsson, and T. Strömberg, " Laser Doppler perfusion monitoring and imaging: Novel approaches.," Med. Biol. Eng. Comput. MBECDY 0140-0118 45, 421-435 (2007). 10.1007/s11517-007-0170- 5 (Pubitemid 46681616)
4. G. E. Nilsson, " Signal processor for laser Doppler tissue flowmeters.," Med. Biol. Eng. Comput. MBECDY 0140-0118 22, 343-348 (1984). 10.1007/BF02442104
5. J. M. Johnson, G. L. Brengelmann, J. R. Hales, P. M. Vanhoutte, and C. B. Wenger, " Regulation of the cutaneous circulation.," Fed. Proc. FEPRA7 0014-9446 45, 2841-2850 (1986).
6. I. C. Roddie, " Circulation to skin and adipose tissue.," in Handbook of Physiology: The Cardiovascular System, edited by, J. T. Shephard, and, F. M. Abboud, (APS, Bethesda, MD, 1983), pp. 285-317.
7. D. Wolfenson, " Blood flow through arteriovenous anastomoses and its thermal function in the laying hen.," J. Physiol. (London) JPHYA7 0022-3751 334, 395-407 (1983).
8. K. Lossius, M. Eriksen, and L. Walløe, " Fluctuations in blood flow to acral skin in humans: Connection with heart rate and blood pressure variability.," J. Physiol. (London) JPHYA7 0022-3751 460, 641-655 (1993).
9. A. D. M. Greenfield, " The circulation through the skin.," in Handbook of Physiology, Circulation Vol. II (American Physiological Society, Washington, D.C., 1963), Sec. 2, Chap., pp. 1325-1351.
10. S. Yanagimoto, T. Kuwahara, Y. Zhang, S. Koga, Y. Inoue, and N. Kondo, " Intensity-dependent thermoregulatory responses at the onset of dynamic exercise in mildly heated humans.," Am. J. Physiol. AJPHAP 0002-9513 285, R200-R207 (2003).
11. T. E. Wilson, R. Zhang, B. D. Levine, and C. G. Grandall, " Dynamic autoregulation of the cutaneous circulation: Differential control in glabrous vs. non-glabrous skin.," Am. J. Physiol. Heart Circ. Physiol. ZZZZZZ 0363-6135 289, H385-H391 (2005). 10.1152/ajpheart.00622.2004 (Pubitemid 40934125)
12. F. Yamazaki and R. Sone, " Different vascular responses in glabrous and nonglabrous skin with increasing core temperature during exercise.," Eur. J. Appl. Physiol. EJAPFN 0301-5548 97, 582-590 (2006). 10.1007/s00421-006- 0219-4
13. 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. BIOJAU 0006-3495 93, L59-L61 (2007). 10.1529/biophysj.107.119057 (Pubitemid 350294455)
14. A. Humeau, F. Chapeau-Blondeau, D. Rousseau, W. Trzepizur, and P. Abraham, " Multifractality, sample entropy, and wavelet analyses for age-related changes in the peripheral cardiovascular system: Preliminary results.," Med. Phys. MPHYA6 0094-2405 35, 717-723 (2008). 10.1118/1.2831909 (Pubitemid 351190891)
15. P. Å. Öberg, " Laser-Doppler flowmetry.," Crit. Rev. Biomed. Eng. CRBEDR 0278-940X 18, 125-163 (1990).
16. R. Freeman, " Assessment of cardiovascular autonomic function.," Clin. Neurophysiol. ZZZZZZ 1388-2457 117, 716-730 (2006). 10.1016/j.clinph.2005.09.027
17. P. Kvandal, S. A. Landsverk, A. Bernjak, A. Stefanovska, H. D. Kvernmo, and K. -A. Kirkebøen, " Low-frequency oscillations of the laser Doppler perfusion signal in human skin.," Microvasc. Res. MIVRA6 0026-2862 72, 120-127 (2006). 10.1016/j.mvr.2006.05.006 (Pubitemid 44692748)
18. M. Bračič and A. Stefanovska, " Wavelet-based analysis of human blood-flow dynamics.," Bull. Math. Biol. BMTBAP 0092-8240 60, 919-935 (1998). 10.1006/bulm.1998.0047 (Pubitemid 28427467)
19. A. Stefanovska, M. Bračič, S. Strle, and H. Haken, " The cardiovascular system as coupled oscillators?," Physiol. Meas. 22, 535-550 (2001). 10.1088/0967-3334/22/3/311 0967-3334 (Pubitemid 32799890)
20. 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. MIVRA6 0026-2862 56, 173-182 (1998). 10.1006/mvre.1998.2108 (Pubitemid 28560178)
21. S. Bertuglia, A. Colantuoni, and M. Intaglietta, " Effects of L-NMMA and indomethacin on arteriolar vasomotion in skeletal muscle microcirculation of conscious and anesthetized hamsters.," Microcirc. Res. 48, 68-84 (1994).
22. T. M. Griffith and H. Edwards, " Fractal analysis of role of smooth muscle Ca2+ fluxes in genesis of chaotic arterial pressure oscillations.," Am. J. Physiol. AJPHAP 0002-9513 266, H1801-H1811 (1994).
23. J. Kastrup, J. Bühlow, and N. A. Lassen, " 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. IMCEDT 0167-6865 8, 205-215 (1989).
24. T. Söderström, A. Stefanovska, M. Veber, and H. Svenson, " Involvement of sympathetic nerve activity in skin blood flow oscillations in humans.," Am. J. Physiol. Heart Circ. Physiol. ZZZZZZ 0363-6135 284, H1638-H1646 (2003).
25. 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. MIVRA6 0026-2862 57, 298-309 (1999). 10.1006/mvre.1998.2139 (Pubitemid 29393275)
26. P. Kvandal, A. Stefanovska, M. Veber, H. D. Kvernmo, 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. MIVRA6 0026-2862 65, 160-171 (2003). 10.1016/S0026-2862(03)00006-2 (Pubitemid 36438682)
27. B. B. Mandelbrot, " Intermittent turbulence in self-similar cascades: Divergence of high moments and dimensions of the carrier.," J. Fluid Mech. JFLSA7 0022-1120 62, 331-358 (1974). 10.1017/S0022112074000711
28. T. C. Halsey, M. H. Jensen, L. P. Kadanoff, I. Procaccia, and B. I. Shraiman, " Fractal measures and their singularities-The characterization of strange sets.," Phys. Rev. A PLRAAN 1050-2947 33, 1141-1151 (1986). 10.1103/PhysRevA.33.1141
29. P. Grassberger, " Generalized fractal dimensions of strange attractors.," Phys. Lett. A PYLAAG 0375-9601 97, 227-230 (1983). 10.1016/0375-9601(83)90753-3
30. P. Ch. Ivanov, A. L. Goldberger, and H. E. Stanley, in The Science of Disasters, edited by, A. Bunde, J. Kropp, and, H. -J. Schellnhuber, (Springer, Berlin, 2002), pp. 219-257.
31. A. Humeau, B. Buard, F. Chapeau-Blondeau, D. Rousseau, G. Mah́, and P. Abraham, " Multifractal analysis of central (electrocardiography) and peripheral (laser Doppler flowmetry) cardiovascular time series from healthy human subjects.," Physiol. Meas. 30, 617-629 (2009). 10.1088/0967-3334/30/ 7/007 0967-3334
32. J. Feder, Fractals (Plenum, New York, 1988).
33. J. M. Diego, E. Martinez-Gonzales, J. L. Sanz, S. Mollerach, and V. J. Martínez, " Partition function based analysis of cosmic microwave background maps.," Mon. Not. R. Astron. Soc. MNRAA4 0035-8711 306, 427-436 (1999). 10.1046/j.1365-8711.1999.02523.x
34. N. Sarkar and B. B. Chaudhuri, " Multifractal and generalized fractal dimensions of gray-tone digital images.," Signal Process. SPRODR 0165-1684 42, 181-190 (1995). 10.1016/0165-1684(94)00126-K
35. H. Takayasu, Fractals in the Physical Sciences (Manchester University Press, Manchester, 1997).
36. C. J. G. Evertsz and B. B. Mandelbrot, " Multifractal measures.," in Chaos and Fractals, edited by, H. O. Peitgen, H. Jürgens, and, D. Saupe, (Springer, Berlin, 1992), pp. 921-953.
37. H. Takayasu, " Differential fractal dimension of random walk and its applications to physical systems.," J. Phys. Soc. Jpn. JUPSAU 0031-9015 51, 3057-3064 (1982). 10.1143/JPSJ.51.3057
38. M. A. López-Quintela, J. C. Ṕrez-Moure, M. C. Buján-Núez, and J. Samios, " Influence of fractal dimension on diffusion-controlled reactions.," Chem. Phys. Lett. CHPLBC 0009-2614 138, 476-480 (1987). 10.1016/0009-2614(87)80544-4
39. B. Buard, G. Mah́, F. Chapeau-Blondeau, D. Rousseau, P. Abraham, and A. Humeau, " Étude des variations spatiales des spectres multifractals de signaux laser Doppler.," OPT-DIAG Symposium on Diagnostic and Optical Imagery in Medicine, Paris, France, 2009 (unpublished).
40. J. Peupelmann, M. K. Boettger, C. Ruhland, S. Berger, C. T. Ramachandraiah, V. K. Yeragani, and K. -J. Bär, " Cardio-respiratory couplings indicates suppression of vagal activity in acute schizophrenia.," Schizophr Res. ZZZZZZ 0920-9964 112, 153-157 (2009). 10.1016/j.schres.2009.03. 042
41. J. M. Johnson, " Circulation to the skin.," in Textbook of Physiology, 21st ed., edited by, H. D. Patton, A. F. Fuchs, B. Hille, A. M. Scher, and, R. Steiner, (WB Saunders, Philadelphia, PA, 1989), pp. 898-910.
42. K. Inokuchi, Y. Hirooka, H. Shimokawa, K. Sakai, T. Kishi, K. Ito, Y. Kimura, and A. Takeshita, " Role of endothelium-derived hyperpolarizing factor in human forearm circulation.," Hypertension HPRTDN 0194-911X 42, 919-924 (2003). 10.1161/01.HYP.0000097548.92665.16 (Pubitemid 37413731)