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We study the connection between multi-fractality and crucial events. Multi-fractality is frequently used as a measure of physiological variability. Crucial events are known to play a fundamental role in the transport of information between…

Adaptation and Self-Organizing Systems · Physics 2018-01-03 Gyanendra Bohara , David Lambert , Bruce J. West , Paolo Grigolini

We derive an equation that governs the spatiotemporal dynamics of small amplitude alternans in paced cardiac tissue. We show that a pattern-forming linear instability leads to the spontaneous formation of stationary or traveling waves whose…

Statistical Mechanics · Physics 2009-11-07 Blas Echebarria , Alain Karma

An analysis of the RR-interval time series, $t_i$, is presented for the case in which the average time, $\bar{t}$, changes slowly. In particular, $\bar{t}$ and a short-time scale variability parameter, $V$, are simultaneously measured while…

Quantitative Methods · Quantitative Biology 2007-05-23 P. B. Siegel , J. Sperber , W. Kindermann , A. Urhausen

Human movement has been studied for decades and dynamic laws of motion that are common to all humans have been derived. Yet, every individual moves differently from everyone else (faster/slower, harder/smoother etc). We propose here an…

The cardiac interbeat (RR) increment time series can be decomposed into two sub-sequences: a magnitude series and a sign series. We show that the sign sequence, a simple binary representation of the original RR series, retains fundamental…

Statistical Mechanics · Physics 2007-05-23 Y. Ashkenazy , P. Ch. Ivanov , S. Havlin , C. -K. Peng , Y. Yamamoto , A. L. Goldberger , H. E. Stanley

Circadian rhythms are known to be important drivers of human activity and the recent availability of electronic records of human behaviour has provided fine-grained data of temporal patterns of activity on a large scale. Further,…

The statistical properties (fluctuations) of heartbeat intervals (RR intervals) in ECG are studied and compared with the predictions of Random Matrix Theory (RMT). It is found that heartbeat intervals only locally exhibit the fluctuation…

Medical Physics · Physics 2009-11-10 M. Martinis , V. Mikuta-Martinis , A. Knezevic , J. Crnugelj

Nonlinear systems are capable of displaying complex behavior even if this is the result of a small number of interacting time scales. A widely studied case is when complex dynamics emerges out of a nonlinear system being forced by a simple…

Quantitative Methods · Quantitative Biology 2015-06-01 Leandro M. Alonso

Balance of excitation and inhibition is a fundamental feature of in vivo network activity and is important for its computations. However, its presence in the neocortex of higher mammals is not well established. We investigated the dynamics…

We investigate numerically and analytically the coupled dynamics of transmembrane voltage and intracellular calcium cycling in paced cardiac cells using a detailed physiological model and its reduction to a three-dimensional discrete map.…

Biological Physics · Physics 2009-11-10 Yohannes Shiferaw , Daisuke Sato , Alain Karma

Motor activity of humans displays complex temporal fluctuations which can be characterized by scale-invariant statistics, thus documenting that structure and fluctuations of such kinetics remain similar over a broad range of time scales.…

Neurons and Cognition · Quantitative Biology 2016-06-22 E. Gudowska-Nowak , J. K. Ochab , K. Oles , E. Beldzik , D. R. Chialvo , A. Domagalik , M. Fafrowicz , T. Marek , M. A. Nowak , H. Oginska , J. Szwed , J. Tyburczyk

We present exact results, as well as some illustrative Monte Carlo simulations, concerning a stochastic network with weighted connections in which the fraction of nodes that are dynamically synchronized is a parameter. This allows one to…

Disordered Systems and Neural Networks · Physics 2007-05-23 J. Marro , J. J. Torres , J. M. Cortes , B. Wemmenhove

Zero-dimensional cardiovascular models provide a computationally efficient framework for studying global hemodynamic behavior, yet the influence of model complexity on parameter sensitivity remains insufficiently understood. This work…

Medical Physics · Physics 2026-01-05 Pranav Kumar Sasikumar

Human motor activity is constrained by the rhythmicity of the 24 hours circadian cycle, including the usual 12-15 hours sleep-wake cycle. However, activity fluctuations also appear over a wide range of temporal scales, from days to a few…

The paper gives a systematic analysis of singularities of transition processes in dynamical systems. General dynamical systems with dependence on parameter are studied. A system of relaxation times is constructed. Each relaxation time…

chao-dyn · Physics 2009-01-28 A. N. Gorban

The dynamics of a wide range of real systems, from email patterns to earthquakes, display a bursty, intermittent nature, characterized by short timeframes of intensive activity followed by long times of no or reduced activity. The…

Data Analysis, Statistics and Probability · Physics 2007-05-23 Kwang-Il Goh , Albert-Laszlo Barabasi

Mobile health applications, including those that track activities such as exercise, sleep, and diet, are becoming widely used. Accurately predicting human actions is essential for targeted recommendations that could improve our health and…

Social and Information Networks · Computer Science 2018-02-27 Takeshi Kurashima , Tim Althoff , Jure Leskovec

We measure the content of random uncorrelated noise in heart rate variability using a general method of noise level estimation using a coarse grained entropy. We show that usually - except for atrial fibrillation - the level of such noise…

Medical Physics · Physics 2009-11-13 K. Urbanowicz , J. J. Zebrowski , R. Baranowski , J. A. Holyst

We use numerical simulations to study the dynamics of dense assemblies of self-propelled particles in the limit of extremely large, but finite, persistence times. In this limit, the system evolves intermittently between mechanical…

Soft Condensed Matter · Physics 2023-06-09 Yann-Edwin Keta , Rituparno Mandal , Peter Sollich , Robert L. Jack , Ludovic Berthier

Around the third week after gestation in embryonic development, the human heart consists only of a valvless tube, unlike a fully developed adult heart, which is multi-chambered. At this stage in development, the heart valves have not formed…

Tissues and Organs · Quantitative Biology 2018-09-19 Nicholas A. Battista , Andrea N. Lane , Laura A. Miller