Barbieri, Riccardo, Eric C. Matten, AbdulRasheed A. Alabi, and Emery N. Brown. A point-process model of human heartbeat intervals: new definitions of heart rate and heart rate variability. Am J Physiol Heart Circ Physiol 288: H424 -H435, 2005. First published September 16, 2004; 10.1152/ajpheart.00482.2003.-Heart rate is a vital sign, whereas heart rate variability is an important quantitative measure of cardiovascular regulation by the autonomic nervous system. Although the design of algorithms to compute heart rate and assess heart rate variability is an active area of research, none of the approaches considers the natural point-process structure of human heartbeats, and none gives instantaneous estimates of heart rate variability. We model the stochastic structure of heartbeat intervals as a history-dependent inverse Gaussian process and derive from it an explicit probability density that gives new definitions of heart rate and heart rate variability: instantaneous R-R interval and heart rate standard deviations. We estimate the time-varying parameters of the inverse Gaussian model by local maximum likelihood and assess model goodness-of-fit by Kolmogorov-Smirnov tests based on the time-rescaling theorem. We illustrate our new definitions in an analysis of human heartbeat intervals from 10 healthy subjects undergoing a tilt-table experiment. Although several studies have identified deterministic, nonlinear dynamical features in human heartbeat intervals, our analysis shows that a highly accurate description of these series at rest and in extreme physiological conditions may be given by an elementary, physiologically based, stochastic model. tilt table; inverse Gaussian; time-rescaling theorem; KolmogorovSmirnov test; autonomic regulation HEART RATE IS A VITAL moment-to-moment indicator of cardiovascular integrity measured on every physical examination. Heart rate is also monitored continuously in patients under anesthesia during surgery and in those treated in an intensive care unit, as well as in fetuses during labor. Heart rate variability is an important quantitative marker of cardiovascular regulation by the autonomic nervous system. Its significance was first appreciated over 40 years ago, when it was discovered that fetal distress is associated with appreciable changes in heart rate variability before any change in heart rate (27). Physicians routinely use Holter monitor studies, i.e., 24 -72 h of continuous electrocardiography, in which heart rate variability is assessed to diagnose diseases that affect the autonomic nervous system, follow their progression, and measure the efficacy of therapy. Such diseases include diabetes, GuillainBarre syndrome, multiple sclerosis, Parkinson's disease, and Shy-Drager orthostatic hypotension (17,19,32,38). Loss of heart rate variability is an independent predictor of mortality after an acute myocardial infarction (6,33,35), is indicative of ventricular dysfunction in patients with congestive heart failure (41, 42), and is associated with fetal distress during labor ...