A method for analyzing temporal patterns of variability of a time series from Poincare plots.

Journal of Applied Physiology
Mikkel FishmanThomas E Dick

Abstract

The Poincaré plot is a popular two-dimensional, time series analysis tool because of its intuitive display of dynamic system behavior. Poincaré plots have been used to visualize heart rate and respiratory pattern variabilities. However, conventional quantitative analysis relies primarily on statistical measurements of the cumulative distribution of points, making it difficult to interpret irregular or complex plots. Moreover, the plots are constructed to reflect highly correlated regions of the time series, reducing the amount of nonlinear information that is presented and thereby hiding potentially relevant features. We propose temporal Poincaré variability (TPV), a novel analysis methodology that uses standard techniques to quantify the temporal distribution of points and to detect nonlinear sources responsible for physiological variability. In addition, the analysis is applied across multiple time delays, yielding a richer insight into system dynamics than the traditional circle return plot. The method is applied to data sets of R-R intervals and to synthetic point process data extracted from the Lorenz time series. The results demonstrate that TPV complements the traditional analysis and can be applied more generally, inclu...Continue Reading

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Citations

Jul 6, 2014·Rehabilitation Research and Practice·Michel Silva ReisAudrey Borghi-Silva
Dec 21, 2013·Journal of Clinical Monitoring and Computing·Shin-Shin ChuangCheng-Deng Kuo
Oct 1, 2014·Respiratory Physiology & Neurobiology·Thomas E DickErica A Wehrwein
Apr 20, 2013·Respiratory Physiology & Neurobiology·E V FergusonR J A Wilson
Mar 28, 2013·Brain and Behavior·C Jean LoriaRuth E Siegel
Mar 29, 2014·Clinical Physiology and Functional Imaging·Camila Bianca Falasco PantoniAudrey Borghi-Silva
May 25, 2015·Respiratory Physiology & Neurobiology·Juan S Medina-MartínezCarlos B Mantilla
Mar 19, 2013·Autonomic Neuroscience : Basic & Clinical·Alfredo J GarciaJan-Marino Ramirez
Jul 30, 2016·Frontiers in Computational Neuroscience·Adrián Colomer GraneroMariano Alcañiz Raya
Jan 26, 2016·PloS One·Dimitriy A DimitrievAleksey D Dimitriev
Jul 14, 2017·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Karlene T BarrettRichard J A Wilson
Dec 29, 2017·Clinical Physiology and Functional Imaging·Raúl A BorracciEnrique Dominé
Feb 14, 2019·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Karlene T BarrettRichard J A Wilson
Jul 24, 2020·Journal of Aging and Physical Activity·Ing-Shiou HwangYi-Ching Chen
Nov 23, 2017·Frontiers in Psychology·Jaime GuixeresValery Naranjo Ornedo
Nov 5, 2020·American Journal of Physiology. Regulatory, Integrative and Comparative Physiology·Karlene T BarrettRichard J A Wilson
Sep 5, 2020·American Journal of Physiology. Heart and Circulatory Physiology·Martina ComelliMarcello Rota
May 1, 2021·International Journal of Environmental Research and Public Health·Elena Ioana IconaruConstantin Ciucurel
Sep 3, 2020·Computer Methods and Programs in Biomedicine·C RicciardiM Romano

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