308
M. Thanaj et al.
32. C. González, E.W. Jensen, P.L. Gambús, M. Vallverdú, Poincaré plot analysis of cerebral
blood flow signals: feature extraction and classification methods for apnea detection. PLoS
ONE 13(12), e0208642 (2018)
33. A. Grinevich, A. Tankanag, I. Tikhonova, N. Chemeris, A new approach to the analysis of skin
blood flow oscillations in human. Microvasc. Res. 126 (2019)
34. B. Gryglewska, M. Necki, M. Zelawski, M. Cwynar, T. Baron, M. Mrozek et al., Fractal
dimensions of skin microcirculation flow in subjects with familial predisposition or newly
diagnosed hypertension. Cardiol. J. 18(1), 26–32 (2011)
35. R.J. Gush, T.A. King, M.I. Jayson, Aspects of laser light scattering from skin tissue with
application to laser Doppler blood flow measurement. Phys. Med. Biol. 29(12), 1463–1476
(1984)
36. L.A. Holowatz, C.S. Thompson-Torgerson, W.L. Kenney, The human cutaneous circulation as
a model of generalized microvascular function. J. Appl. Physiol. 105(1):370–372 (2008)
37. H. Hsiu, C.L. Hsu, H.F. Hu, F.C. Hsiao, S.H. Yang, Complexity analysis of beat-to-beat skinsurface laser-Doppler signals in diabetic subjects. Microvasc. Res. 93, 9–13 (2014)
38. A. Humeau, F. Chapeau-Blondeau, D. Rousseau, P. Abraham, Numerical simulation of laser
Doppler flowmetry signals based on a model of nonlinear coupled oscillators. Comparison with
real data in the frequency domain. Conf. Proc. IEEE Eng. Med. Biol. Soc. 2007, 4068–4071
(2007)
39. A. Humeau, F. Chapeau-Blondeau, D. Rousseau, P. Rousseau, W. Trzepizur, P. Abraham,
Multifractality, sample entropy, and wavelet analyses for age-related changes in the peripheral
cardiovascular system: preliminary results. Med. Phys. 35(2), 717–723 (2008)
40. A. Humeau, B. Buard, G. Mahe, D. Rousseau, F. Chapeau-Blondeau, P. Abraham, Multiscale
entropy of laser Doppler flowmetry signals in healthy human subjects. Med. Phys. 37(12),
6142–6146 (2010)
41. A. Humeau, G. Mahe, F. Chapeau-Blondeau, D. Rousseau, P. Abraham, Multiscale analysis of
microvascular blood flow: a multiscale entropy study of laser Doppler flowmetry time series.
IEEE Trans. Biomed. Eng. 58(10), 2970–2973 (2011)
42. A. Humeau-Heurtier, M. Klonizakis, Processing of laser Doppler flowmetry signals from
healthy subjects and patients with varicose veins: information categorisation approach based
on intrinsic mode functions and entropy computation. Med. Eng. Phys. 37(6), 553–559 (2015)
43. K. Kalev, M. Bachmann, L. Orgo, J. Lass, H. Hinrikus, Lempel-Ziv and multiscale Lempel-Ziv
complexity in depression. IEEE Eng. Med. Bio. 4158–4161 (2015)
44. H. Kantz, T. Schreiber, Nonlinear Time Series Analysis, 2nd edn. (Cambridge University Press,
Cambridge, 2003)
45. J. Kastrup, J. Bulow, 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. 8(2):205–215 (1989)
46. K.Z. Kuliga, R. Gush, G.F. Clough, A.J. Chipperfield, Time-dependent behavior of microvascular blood flow and oxygenation: a predictor of functional outcomes. IEEE Trans. Biomed.
Eng. 65(5), 1049–1056 (2018)
47. P. Kvandal, A. Stefanovska, M. Veber, K.H. Desiree, K.K. Arvid, Regulation of human cutaneous circulation evaluated by laser Doppler flowmetry, iontophoresis, and spectral analysis:
importance of nitric oxide and prostaglandines. Microvasc. Res. 65(3), 160–171 (2003)
48. P. Kvandal, S.A. Landsverk, A. Bernjak, A. Stefanovska, H.D. Kvernmo, K.A. Kirkeboen,
Low-frequency oscillations of the laser Doppler perfusion signal in human skin. Microvasc.
Res. 72(3), 120–127 (2006)
49. H.D. Kvernmo, A. Stefanovska, K.A. Kirkeboen, K. Kvernebo, Oscillations in the human
cutaneous blood perfusion signal modified by endothelium-dependent and endotheliumindependent vasodilators. Microvasc. Res. 57(3), 298–309 (1999)
50. A. Lempel, J. Ziv, On the complexity of finite sequences. IEEE Trans. Inf. Theory IT 22(1),
75–81 (1976)
51. F. Liao, Y.K. Jan, Enhanced phase synchronization of blood flow oscillations between heated
and adjacent non-heated sacral skin. Med. Biol. Eng. Comput. 50(10), 1059–1070 (2012)
M. Thanaj et al.
32. C. González, E.W. Jensen, P.L. Gambús, M. Vallverdú, Poincaré plot analysis of cerebral
blood flow signals: feature extraction and classification methods for apnea detection. PLoS
ONE 13(12), e0208642 (2018)
33. A. Grinevich, A. Tankanag, I. Tikhonova, N. Chemeris, A new approach to the analysis of skin
blood flow oscillations in human. Microvasc. Res. 126 (2019)
34. B. Gryglewska, M. Necki, M. Zelawski, M. Cwynar, T. Baron, M. Mrozek et al., Fractal
dimensions of skin microcirculation flow in subjects with familial predisposition or newly
diagnosed hypertension. Cardiol. J. 18(1), 26–32 (2011)
35. R.J. Gush, T.A. King, M.I. Jayson, Aspects of laser light scattering from skin tissue with
application to laser Doppler blood flow measurement. Phys. Med. Biol. 29(12), 1463–1476
(1984)
36. L.A. Holowatz, C.S. Thompson-Torgerson, W.L. Kenney, The human cutaneous circulation as
a model of generalized microvascular function. J. Appl. Physiol. 105(1):370–372 (2008)
37. H. Hsiu, C.L. Hsu, H.F. Hu, F.C. Hsiao, S.H. Yang, Complexity analysis of beat-to-beat skinsurface laser-Doppler signals in diabetic subjects. Microvasc. Res. 93, 9–13 (2014)
38. A. Humeau, F. Chapeau-Blondeau, D. Rousseau, P. Abraham, Numerical simulation of laser
Doppler flowmetry signals based on a model of nonlinear coupled oscillators. Comparison with
real data in the frequency domain. Conf. Proc. IEEE Eng. Med. Biol. Soc. 2007, 4068–4071
(2007)
39. A. Humeau, F. Chapeau-Blondeau, D. Rousseau, P. Rousseau, W. Trzepizur, P. Abraham,
Multifractality, sample entropy, and wavelet analyses for age-related changes in the peripheral
cardiovascular system: preliminary results. Med. Phys. 35(2), 717–723 (2008)
40. A. Humeau, B. Buard, G. Mahe, D. Rousseau, F. Chapeau-Blondeau, P. Abraham, Multiscale
entropy of laser Doppler flowmetry signals in healthy human subjects. Med. Phys. 37(12),
6142–6146 (2010)
41. A. Humeau, G. Mahe, F. Chapeau-Blondeau, D. Rousseau, P. Abraham, Multiscale analysis of
microvascular blood flow: a multiscale entropy study of laser Doppler flowmetry time series.
IEEE Trans. Biomed. Eng. 58(10), 2970–2973 (2011)
42. A. Humeau-Heurtier, M. Klonizakis, Processing of laser Doppler flowmetry signals from
healthy subjects and patients with varicose veins: information categorisation approach based
on intrinsic mode functions and entropy computation. Med. Eng. Phys. 37(6), 553–559 (2015)
43. K. Kalev, M. Bachmann, L. Orgo, J. Lass, H. Hinrikus, Lempel-Ziv and multiscale Lempel-Ziv
complexity in depression. IEEE Eng. Med. Bio. 4158–4161 (2015)
44. H. Kantz, T. Schreiber, Nonlinear Time Series Analysis, 2nd edn. (Cambridge University Press,
Cambridge, 2003)
45. J. Kastrup, J. Bulow, 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. 8(2):205–215 (1989)
46. K.Z. Kuliga, R. Gush, G.F. Clough, A.J. Chipperfield, Time-dependent behavior of microvascular blood flow and oxygenation: a predictor of functional outcomes. IEEE Trans. Biomed.
Eng. 65(5), 1049–1056 (2018)
47. P. Kvandal, A. Stefanovska, M. Veber, K.H. Desiree, K.K. Arvid, Regulation of human cutaneous circulation evaluated by laser Doppler flowmetry, iontophoresis, and spectral analysis:
importance of nitric oxide and prostaglandines. Microvasc. Res. 65(3), 160–171 (2003)
48. P. Kvandal, S.A. Landsverk, A. Bernjak, A. Stefanovska, H.D. Kvernmo, K.A. Kirkeboen,
Low-frequency oscillations of the laser Doppler perfusion signal in human skin. Microvasc.
Res. 72(3), 120–127 (2006)
49. H.D. Kvernmo, A. Stefanovska, K.A. Kirkeboen, K. Kvernebo, Oscillations in the human
cutaneous blood perfusion signal modified by endothelium-dependent and endotheliumindependent vasodilators. Microvasc. Res. 57(3), 298–309 (1999)
50. A. Lempel, J. Ziv, On the complexity of finite sequences. IEEE Trans. Inf. Theory IT 22(1),
75–81 (1976)
51. F. Liao, Y.K. Jan, Enhanced phase synchronization of blood flow oscillations between heated
and adjacent non-heated sacral skin. Med. Biol. Eng. Comput. 50(10), 1059–1070 (2012)