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Related papers: Estimating coupling directions in the cardio-respi…

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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…

Medical Physics · Physics 2007-05-23 N. Marwan , N. Wessel , U. Meyerfeldt , A. Schirdewan , J. Kurths

Dissipative coupling is known to induce synchronization. Conversely it may be hypothesized that oscillators driven to synchronize may reduce power dissipation in their coupling. The latter scenario is realized in the human cardiorespiratory…

Biological Physics · Physics 2026-03-25 Joshua R. Border , Alain Nogaret , Andrew Lefevre , Vishal Jain

The Electrocardiograph signal represents the heart's electrical activity while blood pressure results from the heart's mechanical activity. Previous studies have investigated how the heart's electrical and mechanical activities are related…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Seyedeh Somayyeh Mousavi , Mostafa Charmi , Mohammad Firouzmand , Mohammad Hemmati , Maryam Moghadam , Yadollah Ghorbani

Recent trials of a neuronal pacemaker have shown that cardiac pumping efficiency increases when respiratory sinus arrhythmia (RSA) is artificially restored in animal models of heart failure. This novel device sheds new light on the…

Tissues and Organs · Quantitative Biology 2025-07-02 Josh Border , Andrew Lefevre , Vishal Jain , Alain Nogaret

The association between visit-to-visit systolic blood pressure variability and cardiovascular events has recently received a lot of attention in the cardiovascular literature. But blood pressure variability is usually estimated on a…

Applications · Statistics 2019-01-25 Jessica K. Barrett , Raphael Huille , Richard Parker , Yuichiro Yano , Michael Griswold

Recurrence is a fundamental property of dynamical systems, which can be exploited to characterise the system's behaviour in phase space. A powerful tool for their visualisation and analysis called recurrence plot was introduced in the late…

Chaotic Dynamics · Physics 2025-01-27 Norbert Marwan , Maria Carmen Romano , Marco Thiel , Jürgen Kurths

Transitions in the dynamics of complex systems can be characterized by changes in the synchronization behavior of their components. Taking the human cardio-respiratory system as an example and using an automated procedure for screening the…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Ronny Bartsch , Jan W. Kantelhardt , Thomas Penzel , Shlomo Havlin

Cardiorespiratory coupling (CRC) captures the dynamic interaction between the cardiac and respiratory systems--an interaction strengthened by physical exercise and linked to improved physiological function. We examined CRC at high altitude…

Computational Engineering, Finance, and Science · Computer Science 2025-08-04 Jiankai Tang , Meng Kang , Yiru Zhang , Kegang Wang , Daniel Mcduff , Xin Liu , Yuanchun Shi , Yuntao Wang

We present here a modification of the Lagrangian measures technique, which allows a reliable detection of interdependency among simultaneous measurements of different variables. This method is applied to a simulated multivariate time series…

Chaotic Dynamics · Physics 2007-05-23 Guillermo J. Ortega , Diego A. Golombek

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

Tissues and Organs · Quantitative Biology 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

The classic heuristic formula for calculating the mean arterial blood pressure (MAP) in the human cardiac cycle using 1/3 of the systolic pressure (P_S) plus 2/3 of the diastolic pressure (P_D) importantly neglects the nonlinear effect of…

Tissues and Organs · Quantitative Biology 2025-04-01 Maximilian Nguyen

Arrhythmia is an abnormality of the heart's rhythm, caused by problems in the conductive system and resulting in irregular heartbeats. There is increasing evidence that undertaking frequent endurance sports training elevates one's risk of…

Applications · Statistics 2026-01-06 Andrew Nugent , Yi Ting Loo , Jack Buckingham

Different measures of heart rate variability and particularly of respiratory sinus arrhythmia are widely used in research and clinical applications. Inspired by the ideas from the theory of coupled oscillators, we use simultaneous…

The impact of increased stiffness and pulsatile load on the circulation and their influence on heart performance have been documented not only for cardiovascular events but also for ventricular dysfunctions. For this reason, computer models…

Numerical Analysis · Mathematics 2021-11-11 Federica Caforio , Christoph M. Augustin , Jordi Alastruey , Matthias A. F. Gsell , Gernot Plank

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

This paper investigates the asymptotic behaviour of solutions to certain infinite systems of coupled recurrence relations. In particular, we obtain a characterisation of those initial values which lead to a convergent solution, and for…

Functional Analysis · Mathematics 2019-02-14 L. Paunonen , D. Seifert

Recurrence plot based time series analysis is widely used to study changes and transitions in the dynamics of a system or temporal deviations from its overall dynamical regime. However, most studies do not discuss the significance of the…

Chaotic Dynamics · Physics 2013-06-05 Norbert Marwan , Stefan Schinkel , Jürgen Kurths

We introduce a geometric method for identifying the coupling direction between two dynamical systems based on a bivariate extension of recurrence network analysis. Global characteristics of the resulting inter-system recurrence networks…

Data Analysis, Statistics and Probability · Physics 2013-01-08 Jan H. Feldhoff , Reik V. Donner , Jonathan F. Donges , N. Marwan , J. Kurths

SUMMARY This work aims at quantifying the effect of inherent uncertainties from cardiac output on the sensitivity of a human compliant arterial network response based on stochastic simulations of a reduced-order pulse wave propagation…

Numerical Analysis · Mathematics 2016-06-22 A Brault , L Dumas , D Lucor

Hypertension is one of the most common age-related chronic diseases and by predisposing individuals for heart failure, stroke and kidney disease, it is a major source of morbidity and mortality. Its etiology remains enigmatic despite…

Tissues and Organs · Quantitative Biology 2015-06-15 Klas H. Pettersen , Scott M. Bugenhagen , Javaid Nauman , Daniel A. Beard , Stig W. Omholt
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