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In this work we present a new idea to develop a method to separate stochastic and deterministic information contained in an electrocardiogram, ECG, which may provide new sources of information with diagnostic purposes. We assume that the…

Data Analysis, Statistics and Probability · Physics 2016-08-16 R. M. Gutiérrez , L. Sandoval

This paper reports on the application to field measurements of time series methods developed on the basis of the theory of deterministic chaos. The major difficulties are pointed out that arise when the data cannot be assumed to be purely…

chao-dyn · Physics 2015-06-24 Thomas Schreiber

Human heart rate fluctuates in a complex and non-stationary manner. Elaborating efficient and adequate tools for the analysis of such signals has been a great challenge for the researchers during last decades. Here, an overview of the main…

Medical Physics · Physics 2007-05-23 J. Kalda , M. Sakki , M. Vainu , M. Laan

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

A fundamental issue in nonlinear dynamics and statistical physics is how to distinguish chaotic from stochastic fluctuations in short experimental recordings. This dilemma underlies many complex systems models from stochastic gene…

Chaotic Dynamics · Physics 2010-04-12 Chi-Sang Poon , Cheng Li , Guo-Qiang Wu

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…

Machine Learning · Computer Science 2025-11-03 Berken Utku Demirel , Christian Holz

The human heart is a complex system exhibiting stochastic nature, as reflected in electrocardiogram (ECG) signals. ECG signal is a weak, non-stationary, and nonlinear signal, which indicates the health of a heart in terms of temporal…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Chiranjit Maji , Pratyay Sengupta , Anandi Batabyal , Hirok Chaudhuri

The study of experimental data is a relevant task in several physical, chemical and biological applications. In particular, the analysis of chaotic dynamics in cardiac systems is crucial as it can be related to some pathological…

The characterization of heart dynamics with a view to distinguish abnormal from normal behavior is an interesting topic in clinical sciences. Here we present an analysis of the Electro-cardiogram (ECG) signals obtained under controlled…

Tissues and Organs · Quantitative Biology 2018-09-05 Snehal M. Shekatkar , Yamini Kotriwar , K. P. Harikrishnan , G. Ambika

Atrial fibrillation (AF) is the most common cardiac arrhythmia in human beings, and is associated with significant morbidity and mortality. The current standard of care includes interventional catheter ablation in selected patients, but the…

We investigate the stochastic resonance phenomenon in a physical system based on a tunnel diode. The experimental control parameters are set to allow the control of the frequency and amplitude of the deterministic modulating signal over an…

Statistical Mechanics · Physics 2009-10-31 Rosario N. Mantegna , Bernardo Spagnolo , Marco Trapanese

The problem of determining the mathematical model of the dynamics of multi-dimensional control systems in the presence of noise under the condition that the correlation functions cannot be found. Known statistical dynamics of linear systems…

General Mathematics · Mathematics 2013-01-29 V. N. Tibabishev

The complex dynamics of the heart are reflected in its electrical activity, captured through electrocardiograms (ECGs). In this study we use nonlinear time series analysis to understand how ECG complexity varies with cardiac pathology.…

Signal Processing · Electrical Eng. & Systems 2025-10-22 Camilo Quiceno Quintero , Sandip Varkey George

The stochastic processes underlying the growth and stability of biological and psychological systems reveal themselves when far from equilibrium. Far from equilibrium, nonergodicity reigns. Nonergodicity implies that the average outcome for…

Methodology · Statistics 2022-02-03 Madhur Mangalam , Damian G. Kelty-Stephen

It has been observed that an interesting class of non-Gaussian stationary processes is obtained when in the harmonics of a signal with random amplitudes and phases, frequencies can also vary randomly. In the resulting models, the…

Probability · Mathematics 2019-11-19 Anastassia Baxevani , Krzysztof Podgórski

In this work we present a method to detect, identify and characterize stochastic information contained in an electrocardiogram (ECG). We assume, as it is well known, that the ECG has information corresponding to many different processes…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Rafael M. Gutiérrez , Luis A. Sandoval

Electrocardiogram (ECG), a technique for medical monitoring of cardiac activity, is an important method for identifying cardiovascular disease. However, analyzing the increasing quantity of ECG data consumes a lot of medical resources. This…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Xinyao Hou , Shengmei Qin , Jianbo Su

We introduce a segmentation algorithm to probe temporal organization of heterogeneities in human heartbeat interval time series. We find that the lengths of segments with different local values of heart rates follow a power-law…

Electrocardiograms (ECGs) are an established technique to screen for abnormal cardiac signals. Recent work has established that it is possible to detect arrhythmia directly from the ECG signal using deep learning algorithms. While a few…

Signal Processing · Electrical Eng. & Systems 2024-11-28 Hyewon Jeong , Suyeol Yun , Hammaad Adam

Deterministic chaos is phenomenon from nonlinear dynamics and it belongs to greatest advances of twentieth-century science. Chaotic behavior appears apart of mathematical equations also in wide range in observable nature, so as in there…

Computational Physics · Physics 2020-12-15 Radim Pánis , Martin Kološ , Zdeněk Stuchlík
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