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A new model is suggested and used to mimic various spatial or temporal designs in biological or non biological formations where the focus is on the normal or irregular electrical signals coming from human heart (ECG) or brain (EEG). The…

Biological Physics · Physics 2008-07-08 Caglar Tuncay

We propose a boundary element method for the accurate solution of the cell-by-cell bidomain model of electrophysiology. The cell-by-cell model, also called Extracellular-Membrane-Intracellular (EMI) model, is a system of reaction-diffusion…

Numerical Analysis · Mathematics 2024-06-28 Giacomo Rosilho de Souza , Rolf Krause , Simone Pezzuto

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

This paper proposes a data-driven model for solving the inverse problem of electrocardiography, the mathematical problem that forms the basis of electrocardiographic imaging (ECGI). We present a conditional diffusion framework that learns a…

Machine Learning · Computer Science 2026-01-27 Ramiro Valdes Jara , Adam Meyers

We present a Bayesian approach to estimate the parameters of mathematical models of cardiac electrophysiology with quantified uncertainty. Such models capture the dynamics of the electrical signal that coordinates the muscle cell…

Numerical Analysis · Mathematics 2026-04-02 Maarten Volkaerts , Marie Cloet , Hans Dierckx , Piet Claus , Giovanni Samaey

This PhD thesis develops an integrated mathematical model for autonomic nervous system control on cardiovascular activity. The model extensively covers cardiovascular neural pathways including a wide range of afferent sensory neurons,…

Tissues and Organs · Quantitative Biology 2019-01-18 Michel Kana

Electrocardiogram (ECG) signals, profiling the electrical activities of the heart, are used for a plethora of diagnostic applications. However, ECG systems require multiple leads or channels of signals to capture the complete view of the…

Signal Processing · Electrical Eng. & Systems 2024-05-31 Nabil Ibtehaz , Masood Mortazavi

Myocardial infarction (MI) is a leading cause of death, and its adverse outcomes are urgent to predict. Yet ECG-based prognostic models underperform because deep learning requires large, labelled datasets, which are scarce in medicine.…

The T-wave of an electrocardiogram (ECG) represents the ventricular repolarization that is critical in restoration of the heart muscle to a pre-contractile state prior to the next beat. Alterations in the T-wave reflect various cardiac…

Applications · Statistics 2010-09-30 Yingchun Zhou , Nell Sedransk

The electrocardiogram (ECG) has always been an important biomedical test to diagnose cardiovascular diseases. Current approaches for ECG monitoring are based on body attached electrodes leading to uncomfortable user experience. Therefore,…

Signal Processing · Electrical Eng. & Systems 2022-11-22 Jinbo Chen , Dongheng Zhang , Zhi Wu , Fang Zhou , Qibin Sun , Yan Chen

Echocardiography video is a primary modality for diagnosing heart diseases, but the limited data poses challenges for both clinical teaching and machine learning training. Recently, video generative models have emerged as a promising…

Image and Video Processing · Electrical Eng. & Systems 2024-08-01 Junxuan Yu , Rusi Chen , Yongsong Zhou , Yanlin Chen , Yaofei Duan , Yuhao Huang , Han Zhou , Tan Tao , Xin Yang , Dong Ni

The eikonal equation has become an indispensable tool for modeling cardiac electrical activation accurately and efficiently. In principle, by matching clinically recorded and eikonal-based electrocardiograms (ECGs), it is possible to build…

Optimization and Control · Mathematics 2023-12-06 Thomas Grandits , Jan Verhülsdonk , Gundolf Haase , Alexander Effland , Simone Pezzuto

The Extracellular-Membrane-Intracellular (EMI) model is a novel mathematical framework for cardiac electrophysiology simulations. The EMI model provides a more detailed description of the heart's electrical activity compared to traditional…

Numerical Analysis · Mathematics 2025-04-29 Carlos Ballesteros , Alexei Cheviakov , Raymond J. Spiteri

Excitable membranes are an important type of nonlinear dynamical system and their study can be used to provide a connection between physical and biological circuits. We discuss two models of excitable membranes important in cardiac and…

Biological Physics · Physics 2012-12-18 Jarrett L. Lancaster , Esther M. Leise , Edward H. Hellen

Analyzing electrocardiography (ECG) data is essential for diagnosing and monitoring various heart diseases. The clinical adoption of automated methods requires accurate confidence measurements, which are largely absent from existing…

Based on recent experiments with time-lapse fluorescent imaging, we propose a cellular automaton model for the dynamics of vascular endothelial cells (ECs) in angiogenic morphogenesis. The model successfully reproduces cell mixing behavior,…

Cellular Automata and Lattice Gases · Physics 2015-07-22 Keisuke Matsuya , Hiroki Kurihara , Tetsuji Tokihiro

We review some of the latest approaches to analysing cardiac electrophysiology data using machine learning and predictive modelling. Cardiac arrhythmias, particularly atrial fibrillation, are a major global healthcare challenge. Treatment…

Objective: Exploit accelerometry data for an automatic, reliable, and prompt detection of spontaneous circulation during cardiac arrest, as this is both vital for patient survival and practically challenging. Methods: We developed a machine…

Signal Processing · Electrical Eng. & Systems 2023-02-13 Wolfgang J. Kern , Simon Orlob , Andreas Bohn , Wolfgang Toller , Jan Wnent , Jan-Thorsten Gräsner , Martin Holler

Biophysical signals such as Electrocardiogram (ECG) and Photoplethysmogram (PPG) are key to the sensing of vital parameters for wellbeing. Coincidentally, ECG and PPG are signals, which provide a "different window" into the same phenomena,…

Signal Processing · Electrical Eng. & Systems 2022-02-02 Abhinandan Panda , Srinivas Pinisetty , Partha Roop

Electrocardiogram (ECG), a non-invasive and affordable tool for cardiac monitoring, is highly sensitive in detecting acute heart attacks. However, due to the lengthy nature of ECG recordings, numerous machine learning methods have been…

Signal Processing · Electrical Eng. & Systems 2025-03-04 Yue Wang , Xu Cao , Yaojun Hu , Haochao Ying , Hongxia Xu , Ruijia Wu , James Matthew Rehg , Jimeng Sun , Jian Wu , Jintai Chen