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Heart rate variability studies depend on the robust calculation of the tachogram, the heart rate times series, usually by the detection of R peaks in the electrocardiogram (ECG). ECGs however are subject to a number of sources of noise…

定量方法 · 定量生物学 2019-02-19 Sean Parsons , Jan Huizinga

The oscillations of the human heart rate are inherently complex and non-linear -- they are best described by mathematical chaos, and they present a challenge when applied to the practical domain of cardiovascular health monitoring in…

机器学习 · 计算机科学 2025-11-03 Berken Utku Demirel , Christian Holz

In this paper, we are interested in testing if the volatility process is constant or not during a given time span by using high-frequency data with the presence of jumps and microstructure noise. Based on estimators of integrated volatility…

计量经济学 · 经济学 2020-10-16 Qiang Liu , Zhi Liu , Chuanhai Zhang

Factor structure of heart rate periodogram has been detected with factor analysis. The results showed that there are at least four periodical phenomena of HRV. Two of them have not been discovered and physiologically explained yet. Their…

组织与器官 · 定量生物学 2010-05-07 V. Mukhin

This paper presents a central limit theorem for a pre-averaged version of the realized covariance estimator for the quadratic covariation of a discretely observed semimartingale with noise. The semimartingale possibly has jumps, while the…

统计理论 · 数学 2016-03-31 Yuta Koike

We report unexpected evidence of critical fluctuations of the electric potential of the heart during atrial fibrillation in humans. Scale invariance and long range correlations are found, which we show cannot be accounted for solely with…

组织与器官 · 定量生物学 2016-04-27 G. Attuel , N. Derval , T. Desplantez , M. Haissaguerre , M. Hocini , P. Jaïs , R. Dubois

Ordinary differential equation models are used to describe dynamic processes across biology. To perform likelihood-based parameter inference on these models, it is necessary to specify a statistical process representing the contribution of…

Whilst there are a plethora of algorithms for detecting changes in mean in univariate time-series, almost all struggle in real applications where there is autocorrelated noise or where the mean fluctuates locally between the abrupt changes…

统计方法学 · 统计学 2021-10-18 Gaetano Romano , Guillem Rigaill , Vincent Runge , Paul Fearnhead

Atrial Fibrillation (AF) is among one of the most common types of heart arrhythmia afflicting more than 3 million people in the U.S. alone. AF is estimated to be the cause of death of 1 in 4 individuals. Recent advancements in Artificial…

信号处理 · 电气工程与系统科学 2020-11-03 James Belen , Sajad Mousavi , Alireza Shamsoshoara , Fatemeh Afghah

Atrial fibrillation (AF) is the most common form of arrhythmia with accelerated and irregular heart rate (HR), leading to both heart failure and stroke and being responsible for an increase in cardiovascular morbidity and mortality. In…

流体动力学 · 物理学 2018-06-26 Stefania Scarsoglio , Caterina Gallo , Luca Ridolfi

Background. Different mechanisms have been proposed to relate atrial fibrillation (AF) and coronary flow impairment, even in absence of relevant coronary artery disease (CAD). However, the underlying hemodynamics remains unclear. Aim of the…

The instability of an atomic clock is characterized by the Allan variance, a measure widely used to describe the noise of frequency standards. We provide an explicit method to find the ultimate bound on the Allan variance of an atomic clock…

量子物理 · 物理学 2016-08-30 Krzysztof Chabuda , Ian Leroux , Rafal Demkowicz-Dobrzanski

The knowledge of transitions between regular, laminar or chaotic behavior is essential to understand the underlying mechanisms behind complex systems. While several linear approaches are often insufficient to describe such processes, there…

医学物理 · 物理学 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

In this article, the dynamics and complexity of a noise induced blood flow system have been investigated. Changes in the dynamics have been recognized by measuring the periodicity over significant parameters. Chaotic as well as non-chaotic…

适应与自组织系统 · 物理学 2020-01-08 Bo Yan , Sayan Mukherjee , Shaobo He

Slow fluctuations of a qubit frequency are one of the major problems faced by quantum computers. To understand their origin it is necessary to go beyond the analysis of their spectra. We show that characteristic features of the fluctuations…

量子物理 · 物理学 2024-01-11 Filip Wudarski , Yaxing Zhang , M. I. Dykman

A noise source model, consisting of a pulse sequence at random times with memory, is presented. By varying the memory we can obtain variable randomness of the stochastic process. The delay time between pulses, i. e. the noise memory,…

统计力学 · 物理学 2009-09-29 O. Chichigina , D. Valenti , B. Spagnolo

Signals from heart transplant recipients can be considered to be a natural source of information for a better understanding of the impact of the autonomic nervous system on the complexity of heart rate variability. Beat-to-beat heart rate…

In this paper we address the question of robustness of critical bit rates for the stabilization of networked control systems over digital communication channels. For a deterministic nonlinear system, the smallest bit rate above which…

最优化与控制 · 数学 2016-10-25 Adriano Da Silva , Christoph Kawan

We analyze the frequency dependence of shot noise in a spin filter consisting of a normal grain and ferromagnetic electrodes separated by tunnel barriers. The source of frequency-dependent noise is random spin-flip electron scattering that…

介观与纳米尺度物理 · 物理学 2009-11-11 K. E. Nagaev , L. I. Glazman

Variations of instantaneous heart rate appears regularly oscillatory in deeper levels of anesthesia and less regular in lighter levels of anesthesia. It is impossible to observe this "rhythmic-to-non-rhythmic" phenomenon from raw…

神经元与认知 · 定量生物学 2015-02-11 Yu-Ting Lin