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While brain rhythms appear fundamental to brain function, why brain rhythms consistently organize into the small set of discrete frequency bands observed remains unknown. Here we propose that rhythms separated by factors of the golden ratio…

Neurons and Cognition · Quantitative Biology 2022-11-30 Mark A. Kramer

In this work we apply the Method of Critical Fluctuations (MCF)on human Electrocardiogram (ECG) time-series. The method is able to reveal critical characteristics, in terms of physical behavior, in experimentally recorded signals. Using the…

Medical Physics · Physics 2019-08-20 Yiannis Contoyiannis , Fotis Diakonos , Myron Kampitakis

Predicting a driver's cognitive state, or more specifically, modeling a driver's reaction time (RT) in response to the appearance of a potential hazard warrants urgent research. In the last two decades, the electric field that is generated…

Human-Computer Interaction · Computer Science 2019-05-28 Chun-Hsiang Chuang , Zehong Cao , Po-Tsang Chen , Chih-Sheng Huang , Nikhil R. Pal , Chin-Teng Lin

The $\Delta_3(L)$ statistic characterizes the fluctuations of the number of levels as a function of the length of the spectral interval. It is studied as a possible tool to indicate the regular or chaotic nature of underlying dynamics,…

Nuclear Theory · Physics 2011-05-10 Declan Mulhall , Zachary Huard , Vladimir Zelevinsky

The eigenvalues of quantum chaotic systems have been conjectured to follow, in the large energy limit, the statistical distribution of eigenvalues of random ensembles of matrices of size $N\rightarrow\infty$. Here we provide semiclassical…

Chaotic Dynamics · Physics 2011-12-07 P. Leboeuf , A. G. Monastra

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

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…

Neurons and Cognition · Quantitative Biology 2015-02-11 Yu-Ting Lin

Several spectral fluctuation measures of random matrix theory (RMT) have been applied in the study of spectral properties of networks. However, the calculation of those statistics requires performing an unfolding procedure, which may not be…

Disordered Systems and Neural Networks · Physics 2019-11-14 G. Torres-Vargas , R. Fossion , J. A. Méndez-Bermúdez

We present algorithms for the detection of a class of heart arrhythmias with the goal of eventual adoption by practicing cardiologists. In clinical practice, detection is based on a small number of meaningful features extracted from the…

Machine Learning · Statistics 2016-07-14 Choudur Lakshminarayan , Tony Basil

Electrocardiography (ECG) analysis is crucial for cardiac diagnosis, yet existing foundation models often fail to capture the periodicity and diverse features required for varied clinical tasks. We propose ECG-MoE, a hybrid architecture…

Artificial Intelligence · Computer Science 2026-03-06 Yuhao Xu , Xiaoda Wang , Yi Wu , Wei Jin , Xiao Hu , Carl Yang

Human heart is a complex system that can be studied using its electrical activity recorded as Electrocardiogram (ECG). Any variations or anomalies in the ECG can indicate abnormalities in the cardiac dynamics. In this work, we present a…

Medical Physics · Physics 2020-01-08 Sneha Kachhara , G. Ambika

It recently has been found that methods of the statistical theories of spectra can be a useful tool in the analysis of spectra far from levels of Hamiltonian systems. Several examples originate from areas, such as quantitative linguistics…

Statistical Mechanics · Physics 2020-05-26 Rongrong Xie , Weibing Deng , Mauricio P. Pato

Recently, continuum Microkinetic Rate Theory (cMRT) has been advanced as a method of studying rates of systems, where deviations between observation and cMRT theory have been found, and it hypothesized that these deviations are linked…

Statistical Mechanics · Physics 2019-01-23 M. F. Francis

Evolutionary graph theory (EGT) studies the effect of population structure on evolutionary dynamics. The vertices of the graph represent the $N$ individuals. The edges denote interactions for competitive replacement. Two standard update…

Populations and Evolution · Quantitative Biology 2026-04-01 David A. Brewster , Yichen Huang , Michael Mitzenmacher , Martin A. Nowak

Electroencephalography (EEG) underpins neuroscience, clinical neurophysiology, and brain-computer interfaces (BCIs), yet pronounced inter- and intra-subject variability limits reliability, reproducibility, and translation. This systematic…

Neurons and Cognition · Quantitative Biology 2026-02-03 Xuan-The Tran , Thien-Nhan Vo , Son-Tung Vu , Thoa-Thi Tran , Manh-Dat Nguyen , Thomas Do , Chin-Teng Lin

Biologically driven non-equilibrium fluctuations are often characterized by their non-Gaussianity or by an "effective temperature", which is frequency dependent and higher than the ambient temperature. We address these two measures…

Biological Physics · Physics 2011-06-16 Eyal Ben-Isaac , YongKeun Park , Gabriel Popescu , Frank L. H. Brown , Nir S. Gov , Yair Shokef

A temporal analysis has been performed on a sample of 100 bright gamma-ray bursts (GRBs) with T90<2s from the BATSE current catalog. The GRBs were denoised using a median filter and subjected to an automated pulse selection algorithm as an…

Astrophysics · Physics 2009-11-07 S. McBreen , F. Quilligan , B. McBreen , L. Hanlon , D. Watson

Rydberg atom arrays are powerful platforms for studying quantum many-body systems. We consider the Rydberg-Ising Hamiltonian on periodic chains and numerically study ensembles of states generated by random global pulse sequences subject to…

Quantum Physics · Physics 2026-04-21 Edison S. Carrera , Grégoire Misguich

Fluctuations in parameters that are typically treated as fixed play a crucial role in the behavior of complex systems. However, to date, we lack a general non-equilibrium thermodynamic treatment of such a complex system. In this Letter, to…

Statistical Mechanics · Physics 2026-03-31 Tuan Pham , Deepak Gupta

Alterations in Heart Rate (HR) and Heart Rate Variability (HRV) can reflect autonomic dysfunction associated with neurodegeneration. We investigate the influence of Mild Cognitive Impairment (MCI) on HR and its variability measures in the…

Machine Learning · Computer Science 2024-08-06 Anjo Xavier , Sneha Noble , Justin Joseph , Thomas Gregor Issac