Abstract
Poincaré plot is a geometrical representation of a time series in a Cartesian plane. Points of the plot are duplets of the values of the time series and the distance (in number of values) between values of each duplet is the lag of the plot. Statistically, lag-1 Poincaré plot displays the correlation between consecutive samples in a graphical manner. It has been shown that Poincaré plot reveals patterns of heart rate dynamics resulting from nonlinear processes (Tulppo et al., Am. J. Physiol. 271:H244–H252, 1996; Brennan et al., IEEE Trans. Biomed. Eng. 48:1342–1347, 2001). The lag-1 RR interval Poincaré plot, a two-dimensional plot constructed by plotting consecutive RR intervals, is a representation of RR time series on phase space or Cartesian plane (Liebovitch and Scheurle, Complexity 5:34–43, 2000). It is extensively used for qualitative visualization of physiological signals. Poincaré plot is commonly applied to assess the dynamics of heart rate variability (Tulppo et al., Am. J. Physiol. 271:H244–H252, 1996; Acharya et al., Med. Biol. Eng. Comput. 44(12):1031–1051, 2006; Tulppo et al., Am. J. Physiol. 247:H810–H816, 1998; Toichi et al., J. Auton. Nerv. Syst. 62:79–84, 1997; Hayano et al., Nephrol. Dial. Transplant. 14:1480–1488, 1999). The quantitative analysis of Poincaré plot predominantly means the mathematical characterization of the shape of the plot. In the following sections we will discuss both the qualitative and quantitative techniques of Poincaré plot for analysing HRV signal.
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P.W. Kamen, Heart rate variability. Aust. Fam. Physician 25, 1087–1094 (1996)
P.W. Kamen, A.M. Tonkin, Application of the poincar plot to heart rate variability: a new measure of functional status in heart failure. Aust. NZ. J. Med. 25, 18–26 (1995)
M.A. Woo, W.G. Stevenson, D.K. Moser, R.B. Trelease, R.M. Harper, Patterns of beat-to-beat heart rate variability in advanced heart failure. Am. Heart J. 123(3), 704–710 (1992)
P.W. Kamen, H. Krum, A.M. Tonkin. Poincaré plot of heart rate variability allows quantitative display of parasympathetic nervous activity in humans. Clin. Sci. 91, 201–208 (1996)
M.P. Tulppo, T.H. Makikallio, T.E.S. Takala, T. Seppanen, H.V. Huikuri, Quantitative beat-to-beat analysis of heart rate dynamics during exercise. Am. J. Physiol. 271, H244–H252 (1996)
M. Brennan, M. Palaniswami, P. Kamen, Do existing measures of poincare plot geometry reflect nonlinear features of heart rate variability. IEEE Trans. Biomed. Eng. 48, 1342–1347 (2001)
L.S. Liebovitch, D. Scheurle, Two lessons from fractals and chaos. Complexity 5, 34–43 (2000)
U.R. Acharya, K.P. Joseph, N. Kannathal, C.M. Lim, J.S. Suri, Heart rate variability: a review. Med. Biol. Eng. Comput. 44(12), 1031–1051 (2006)
J. Hayano, H. Takahashi, T. Toriyama, S. Mukai, A. Okada, S. Sakata, A. Yamada, N. Ohte, H. Kawahara, Prognostic value of heart rate variability during long-term follow-up in chronic haemodialysis patients with end-stage renal disease. Nephrol. Dial. Transplant. 14, 1480–1488 (1999)
M. Brennan, M. Palaniswami, P. Kamen, Poincare plot interpretation using a physiological model of hrv based on a network of oscillators. Am. J. Physiol. Heart Circ. Physiol. 283, 1873–1886 (2002)
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Khandoker, A.H., Karmakar, C., Brennan, M., Voss, A., Palaniswami, M. (2013). Quantitative Poincaré Plot. In: Poincaré Plot Methods for Heart Rate Variability Analysis. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-7375-6_2
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DOI: https://doi.org/10.1007/978-1-4614-7375-6_2
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