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Atrial fibrillation (AF) is the most common arrhythmia, associated with significant burdens to patients and the healthcare system. The atrioventricular (AV) node plays a vital role in regulating heart rate during AF, but is often…

Applications · Statistics 2023-10-18 Mattias Karlsson , Pyotr G Platonov , Sara R. Ulimoen , Frida Sandberg , Mikael Wallman

In this work we propose a new method for the rhythm classification of short single-lead ECG records, using a set of high-level and clinically meaningful features provided by the abductive interpretation of the records. These features…

Artificial Intelligence · Computer Science 2021-12-09 Tomás Teijeiro , Constantino A. García , Daniel Castro , Paulo Félix

This paper presents a method for the detection of traveling waves of activity in neural recordings from multi-electrode arrays. The method converts local field potential measurements into the phase domain and fits a series of linear models…

Neurons and Cognition · Quantitative Biology 2015-01-05 Bronwyn Woods

Mathematical models of the human heart are increasingly playing a vital role in understanding the working mechanisms of the heart, both under healthy functioning and during disease. The aim is to aid medical practitioners diagnose and treat…

Numerical Analysis · Mathematics 2023-11-13 Sridhar Chellappa , Barış Cansız , Lihong Feng , Peter Benner , Michael Kaliske

Point defects have a strong influence on the physical properties of materials, often dominating the electronic and optical behavior in semiconductors and insulators. The simulation and analysis of point defects is therefore crucial for…

Materials Science · Physics 2024-03-12 Jimmy-Xuan Shen , Lars F. Voss , Joel Basile Varley

The term two-dimensional coherent spectroscopy (2DCS) usually refers to experimental setups where a coherently generated electric field in a sample is recorded over many runs as a function of two time variables: the delay $\tau$ between two…

Superconductivity · Physics 2025-09-30 Jacopo Fiore , Niccolò Sellati , Mattia Udina , Lara Benfatto

We present a principal component analysis method which tracks and compensates for short-timescale variability in pulsar profiles, with a goal of improving pulsar timing precision. We couple this with a fast likelihood technique for…

Instrumentation and Methods for Astrophysics · Physics 2017-12-13 Hsiu-Hsien Lin , Kiyoshi Masui , Ue-Li Pen , Jeffrey B. Peterson

Quantitative analysis of cardiac motion is crucial for assessing cardiac function. This analysis typically uses imaging modalities such as MRI and Echocardiograms that capture detailed image sequences throughout the heartbeat cycle.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-29 Jiewen Yang , Yiqun Lin , Bin Pu , Xiaomeng Li

Understanding interactions in complex systems requires capturing the relative timing of coupling, not only its strength. Phase synchronization captures this timing, yet most methods either reduce the phase to its cosine or collapse it into…

Neurons and Cognition · Quantitative Biology 2026-01-27 Sir-Lord Wiafe , Najme Soleimani , Masoud Seraji , Bradley Baker , Robyn Miller , Ashkan Faghiri , Vince D. Calhoun

We propose a method for identifying an ectopic activation in the heart non-invasively. Ectopic activity in the heart can trigger deadly arrhythmias. The localization of the ectopic foci or earliest activation sites (EASs) is therefore a…

Signal Processing · Electrical Eng. & Systems 2022-03-15 Simone Pezzuto , Paris Perdikaris , Francisco Sahli Costabal

We propose a quite general model of active media by consideration of the interaction between pacemakers via their phase response curves. This model describes a network of pulse oscillators coupled by their response to the internal…

Chaotic Dynamics · Physics 2007-05-23 Sergei Rybalko , Ekaterina Zhuchkova

We propose a novel anomaly detection method for echocardiogram videos. The introduced method takes advantage of the periodic nature of the heart cycle to learn three variants of a variational latent trajectory model (TVAE). While the first…

Machine Learning · Computer Science 2023-10-25 Alain Ryser , Laura Manduchi , Fabian Laumer , Holger Michel , Sven Wellmann , Julia E. Vogt

Solving inverse problems in cardiac electrophysiology consists in the recovery of physiological parameters from surface electrocardiogram (ECG) measurements, a task which is often computationally unfeasible due to the severe ill-posedness…

Numerical Analysis · Mathematics 2026-05-05 Edoardo Centofanti , Giovanni Ziarelli , Simone Scacchi , Luca Franco Pavarino

The phase reduction method for limit cycle oscillators subjected to weak perturbations has significantly contributed to theoretical investigations of rhythmic phenomena. We here propose a generalized phase reduction method that is also…

Pattern Formation and Solitons · Physics 2014-01-14 Wataru Kurebayashi , Sho Shirasaka , Hiroya Nakao

Multi-channel ECG-based cardiac disorders detection has an impact on cardiac care and treatment. Limitations of existing methods included variation in ECG waveforms due to the location of electrodes, high non-linearity in the signal, and…

Computer Vision and Pattern Recognition · Computer Science 2024-08-06 Suraj Kumar Behera , Debanjali Bhattacharya , Ninad Aithal , Neelam Sinha

Arterial pulse waves contain clinically useful information: their intensity varies with cardiac performance, their speed (pulse wave velocity; PWV) depends on arterial stiffness and their reflection is affected by conduit artery tone. Here…

Medical Physics · Physics 2022-05-31 Ethan M Rowland , Kai Riemer , Kevin Lichtenstein , Mengxing Tang , Peter Weinberg

Atrial arrhythmia can be categorized into tachycardia, flutter, and fibrillation. Atrial fibrillation is a prevalent heart disease that results in weak and irregular contractions of the atria. It affects millions people worldwide and…

Medical Physics · Physics 2024-02-01 Jiyue He

The principle of stationary phase (PSP) is re-examined in the context of linear time-frequency (TF) decomposition using Gaussian, gammatone and gammachirp filters at uniform, logarithmic and cochlear spacings in frequency. This necessitates…

Information Theory · Computer Science 2016-11-17 Bernard Mulgrew

We consider the problem of locating a point-source heart arrhythmia using data from a standard diagnostic procedure, where a reference catheter is placed in the heart, and arrival times from a second diagnostic catheter are recorded as the…

Tissues and Organs · Quantitative Biology 2018-07-10 Chris Vogl , Peng Zheng , Stephen P. Seslar , Aleksandr Y. Aravkin

Phase reduction is a dimensionality reduction scheme to describe the dynamics of nonlinear oscillators with a single phase variable. While it is crucial in synchronization analysis of coupled oscillators, analytical results are limited to…

Adaptation and Self-Organizing Systems · Physics 2023-10-12 Iván León , Hiroya Nakao
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