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Related papers: A Unique Cardiac Electrophysiological 3D Model

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This article proposes a dynamical system modeling approach for the analysis of longitudinal data of self-regulated systems experiencing multiple excitations. The aim of such an approach is to focus on the evolution of a signal (e.g., heart…

Electrocardiogram (ECG) is a widely used tool for assessing cardiac function due to its low cost and accessibility. Emergent research shows that ECGs can help make predictions on key outcomes traditionally derived from more complex…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Yuan Gao , Sangwook Kim , Chris McIntosh

The 19-dimensional TP06 cardiac muscle cell model is reduced to a 17-dimensional version, which satisfies the required conditions for performing an analysis of its dynamics by means of bifurcation theory. The reformulated model is shown to…

Dynamical Systems · Mathematics 2021-05-17 André H. Erhardt , Susanne Solem

Electroanatomical mapping is a technique used in cardiology to create a detailed 3D map of the electrical activity in the heart. It is useful for diagnosis, treatment planning and real time guidance in cardiac ablation procedures to treat…

Image and Video Processing · Electrical Eng. & Systems 2023-11-29 Sunil Mathew , Jasbir Sra , Daniel B. Rowe

The introduction of computational models in cardiovascular sciences has been progressively bringing new and unique tools for the investigation of the physiopathology. Together with the dramatic improvement of imaging and measuring devices…

We propose and analyse the properties of a new class of models for the electromechanics of cardiac tissue. The set of governing equations consists of nonlinear elasticity using a viscoelastic and orthotropic exponential constitutive law…

Numerical Analysis · Mathematics 2022-04-08 Adrienne Propp , Alessio Gizzi , Francesc Levrero-Florencio , Ricardo Ruiz-Baier

Our evolving understanding of the heterocellular cardiac environment demands innovative tools for its study. While murine models are lauded for their versatility and accessibility, they are constrained by scale; tools designed for larger…

Biological Physics · Physics 2023-12-12 Gavin Tumlinson , Enaam Chleilat , Josef Madl , Peter Kohl , Viviane Timmermann

Electroanatomical mapping, a keystone diagnostic tool in cardiac electrophysiology studies, can provide high-density maps of the local electric properties of the tissue. It is therefore tempting to use such data to better individualize…

Optimization and Control · Mathematics 2021-02-03 Thomas Grandits , Simone Pezzuto , Jolijn M. Lubrecht , Thomas Pock , Gernot Plank , Rolf Krause

Patient-specific cardiac computational models are essential for the efficient realization of precision medicine and in-silico clinical trials using digital twins. Cardiac digital twins can provide non-invasive characterizations of cardiac…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Lei Li , Julia Camps , Abhirup Banerjee , Marcel Beetz , Blanca Rodriguez , Vicente Grau

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

Cardiovascular signals such as photoplethysmography (PPG), electrocardiography (ECG), and blood pressure (BP) are inherently correlated and complementary, together reflecting the health of cardiovascular system. However, their joint…

Machine Learning · Computer Science 2025-08-22 Zehua Chen , Yuyang Miao , Liyuan Wang , Luyun Fan , Danilo P. Mandic , Jun Zhu

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

We present a novel microscopic tridomain model describing the electrical activity in cardiac tissue with dynamical gap junctions. The microscopic tridomain system consists of three PDEs modeling the tissue electrical conduction in the…

Analysis of PDEs · Mathematics 2022-06-01 Fakhrielddine Bader , Mostafa Bendahmane , Mazen Saad , Raafat Talhouk

Deformation modeling of cardiac muscle is an important issue in the field of cardiac analysis. For this reason, many approaches have been developed to best estimate the cardiac muscle deformation, and to obtain a practical model to use in…

Computational Engineering, Finance, and Science · Computer Science 2014-12-09 Ahmadreza Baghaie , Hamid Abrishami Moghaddam

We present a new computational model for the numerical simulation of blood flow in the human left heart. To this aim, we use the Navier-Stokes equations in an Arbitrary Lagrangian Eulerian formulation to account for the endocardium motion…

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 prove the existence and the uniqueness of a solution for a modified bidomain model, describing the electrical behaviour of the cardiac tissue in pathological situations. The leading idea is to reduce the problem to an abstract parabolic…

Analysis of PDEs · Mathematics 2021-01-26 Micol Amar , Daniele Andreucci , Claudia Timofte

A new algorithm has been developed for delineation of significant points of various electrocardiographic signal (ECG) waves, taking into account information from all available leads and providing similar or higher accuracy in comparison…

In this paper we will address the problem of developing mathematical models for the numerical simulation of the human circulatory system. In particular, we will focus our attention on the problem of haemodynamics in large human arteries.

Dynamical Systems · Mathematics 2007-05-23 Alfio Quarteroni

An electrocardiogram (ECG) is a time-series signal that is represented by one-dimensional (1-D) data. Higher dimensional representation contains more information that is accessible for feature extraction. Hidden variables such as frequency…

Machine Learning · Statistics 2019-04-12 K. S. Rajput , S. Wibowo , C. Hao , M. Majmudar