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The ``social brain hypothesis'' for the evolution of large brains in primates has led to evidence for the coevolution of neocortical size and social group sizes. Extrapolation of these findings to modern humans indicated that the equivalent…

Statistical Mechanics · Physics 2007-05-23 W. -X. Zhou , D. Sornette , R. A. Hill , R. I. M. Dunbar

We present the results of a search of log-periodic corrections to scaling in the moments of the energy dissipation rate in experiments at high Reynolds number (2500) of three-dimensional fully developed turbulence. A simple dynamical…

Statistical Mechanics · Physics 2009-11-07 Wei-Xing Zhou , Didier Sornette

Improving the efficiency of discrete time scale invariant (DSI) processes, we consider some flexible sampling of a continuous time DSI process ${X(t), t\in{R^+}}$ with scale $l>1$, which is in correspondence to some multi-dimensional…

Probability · Mathematics 2013-01-03 N . Modarresi , S . Rezakhah

By means of the concept of balanced estimation of diffusion entropy we evaluate reliable scale-invariance embedded in different sleep stages and stride records. Segments corresponding to Wake, light sleep, REM, and deep sleep stages are…

Disordered Systems and Neural Networks · Physics 2012-11-14 Wenqing Zhang , Lu Qiu , Qin Xiao , Huijie Yang , Qingjun Zhang , Jianyong Wang

The heart rate variability (HRV) in diabetic human subjects, has been analyzed using lagged Poincar\'{e} plot, auto-correlation and the detrended fluctuation analysis methods. The parameters $SD1$, and $SD12 (= SD1/SD2)$ for Poincar\'{e}…

Medical Physics · Physics 2010-05-31 S. K. Ghatak , B. Roy

Objective: Heart rate variability (HRV) has been proven to be an important indicator of physiological status for numerous applications. Despite the progress and active developments made in HRV metric research over the last few decades, the…

Computational Engineering, Finance, and Science · Computer Science 2021-11-19 Chenglin Niu , Dagang Guo , Marcus Eng Hock Ong , Zhi Xiong Koh , Andrew Fu Wah Ho , Zhiping Lin , Chengyu Liu , Gari D. Clifford , Nan Liu

Heart rate variability (HRV) is a well-known phenomenon whose characteristics are of great clinical relevance in pathophysiologic investigations. In particular, respiration is a powerful modulator of HRV contributing to the oscillations at…

Tissues and Organs · Quantitative Biology 2015-06-26 R. Balocchi , D. Menicucci , E. Santarcangelo , L. Sebastiani , A. Gemignani , B. Ghelarducci , M. Varanini

A number of inhibitory and excitatory factors regulate the beating of the heart. Consequently, the inter-beat intervals (IBIs) are not constant but vary around a mean value, even in the absence of external factors like exercise or stress.…

Signal Processing · Electrical Eng. & Systems 2024-10-22 Ilker Bayram

We analize heartbeat time-series corresponding to several groups of individuals (healthy, heart transplanted, with congestive heart failure (CHF), after myocardial infarction (MI), hypertensive), looking for short- and long-time statistical…

Soft Condensed Matter · Physics 2007-05-23 Paolo Allegrini , Rita Balocchi , Santi Chillemi , Paolo Grigolini , Luigi Palatella , Giacomo Raffaelli

Heart Rate Variability (HRV) measures the variation of the time between consecutive heartbeats and is a major indicator of physical and mental health. Recent research has demonstrated that photoplethysmography (PPG) sensors can be used to…

Machine Learning · Computer Science 2023-03-27 Yuntong Zhang , Jingye Xu , Mimi Xie , Dakai Zhu , Houbing Song , Wei Wang

In this study, an improved second-order difference plot is proposed to analyze the variability of heart rate variability. Although the variation of physiological status of cardiovascular system can be shown graphically by the second-order…

Systems and Control · Electrical Eng. & Systems 2022-12-19 Chen Diao , Ning Cai

Recently it has been demonstrated that the connectivity transition from microscopic connectivity to macroscopic connectedness, known as percolation, is generically announced by a cascade of microtransitions of the percolation order…

Disordered Systems and Neural Networks · Physics 2016-01-25 Malte Schröder , Wei Chen , Jan Nagler

This work proposes a class of differentially private mechanisms for linear queries, in particular range queries, that leverages correlated input perturbation to simultaneously achieve unbiasedness, consistency, statistical transparency, and…

Cryptography and Security · Computer Science 2024-11-08 Prathamesh Dharangutte , Jie Gao , Ruobin Gong , Guanyang Wang

Normal human heart rate shows complex fluctuations in time, which is natural, since heart rate is controlled by a large number of different feedback control loops. These unpredictable fluctuations have been shown to display fractal…

Medical Physics · Physics 2009-11-07 Tom A. Kuusela , Tony Shepherd , Jarmo Hietarinta

Accelerometry data has been widely used to measure activity and the circadian rhythm of individuals across the health sciences, in particular with people with advanced dementia. Modern accelerometers can record continuous observations on a…

Receiver-operating-characteristic (ROC) analysis was used to assess the suitability of various heart rate variability (HRV) measures for correctly classifying electrocardiogram records of varying lengths as normal or revealing the presence…

Medical Physics · Physics 2019-10-23 Stefan Thurner , Markus C. Feurstein , Steven B. Lowen , Malvin C. Teich

Discrete scale invariance, which corresponds to a partial breaking of the scaling symmetry, is reflected in the existence of a hierarchy of characteristic scales l0, c l0, c^2 l0,... where c is a preferred scaling ratio and l0 a microscopic…

Statistical Mechanics · Physics 2015-06-25 A. Johansen , D. Sornette

Local scale invariance (LSI) has been recently proposed as a possible extension of the dynamical scaling in systems at the critical point and during phase ordering. LSI has been applied inter alia to provide predictions for the scaling…

Statistical Mechanics · Physics 2009-11-11 Michel Pleimling , Andrea Gambassi

Heart rate variability (HRV) indices describe properties of interbeat intervals in electrocardiogram (ECG). Usually HRV is measured exclusively in normal sinus rhythm (NSR) excluding any form of paroxysmal rhythm. Atrial fibrillation (AF)…

Applications · Statistics 2023-08-28 Nikita Markov , Ilya Kotov , Konstantin Ushenin , Yakov Bozhko

Heart rate (HR) and its variability (HRV) has been proposed as a marker for depressive symptoms and other aspects of mental health. However, the real correlation between them is presently uncertain, as previous studies have generally been…

Other Quantitative Biology · Quantitative Biology 2015-01-26 Christian Gold , Jörg Assmus