arXiv (Cornell University) · 2012 · 73 citations · 56 references
EngineeringCardiologyPhysiologyBiomedical Signal ProcessingStochastic ProcessesTime Series AnalysisBiomedical Signal ModelingCardiac PhysiologyCardiac Signal ProcessingCardiovascular MonitoringHeart FailureHeart Rate VariabilityAttractor DynamicsBeat-to-beat Cardiac DynamicsChaotic AttractorsHeart Rate DynamicsHeart Rate Variability IndicesHeart Rate Variability ModelingHeart Rate Variability Spectral AnalysisPoint Process Analysis
We focus on various measures of the fluctuations of the sequence of intervals between beats of the human heart, and how such fluctuations can be used to assess the presence or likelihood of cardiovascular disease. We examine sixteen such measures and their suitability for correctly classifying heartbeat records of various lengths as normal or revealing the presence of cardiac dysfunction, particularly congestive heart failure. Using receiver-operating-characteristic analysis we demonstrate that scale-dependent measures prove substantially superior to scale-independent ones. The wavelet-transform standard deviation at a scale near 32 heartbeat intervals, and its spectral counterpart near 1/32 cycles/interval, turn out to provide reliable results using heartbeat records just minutes long. We further establish for all subjects that the human heartbeat has an underlying stochastic origin rather than arising from a chaotic attractor. Finally, we develop a mathematical point process that emulates the human heartbeat time series for both normal subjects and heart-failure patients.
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Task Force of the European Society of Cardiology the North A Electrophysiology · Circulation · 1996 · 16.9K citations
Determining Lyapunov exponents from a time series
Alan Wolf, J. B. Swift, Harry L. Swinney et al. · Physica D Nonlinear Phenomena · 1985 · 9.4K citations · Full text