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In this paper we present a discrete model governing the deformation of a convex regular polygon subjected not to cross a given flat rigid surface, on which it initially lies in correspondence of one point only. First, we set up the model in…

Analysis of PDEs · Mathematics 2022-05-10 Paolo Piersanti , Kristen White , Bogdan Dragnea , Roger Temam

In computational anatomy, the statistical analysis of temporal deformations and inter-subject variability relies on shape registration. However, the numerical integration and optimization required in diffeomorphic registration often lead to…

Graphics · Computer Science 2019-06-17 N. Guigui , Shuman Jia , Maxime Sermesant , Xavier Pennec

Accurate simulation of deformation processes at the atomic scale is critical for predicting the mechanical response of materials and particularly the calculation of directional flow stresses. This work presents a method for applying…

Materials Science · Physics 2025-04-21 Eliott T. Dubois , Paul Lafourcade , Jean-Bernard Maillet

A reduced-order model based on Proper Orthogonal Decomposition (POD) is proposed for the bidomain equations of cardiac electrophysiology. Its accuracy is assessed through electrocardiograms in various configurations, including myocardium…

Numerical Analysis · Mathematics 2012-07-23 Muriel Boulakia , Elisa Schenone , Jean-Frédéric Gerbeau

In this article, we explore the use of contour deformation for the numerical evaluation of Feynman integrals after sector decomposition. In existing codes, the contour of integration is determined heuristically for each phase-space point by…

High Energy Physics - Phenomenology · Physics 2026-02-16 Stephen Jones , Daniel Maître , Anton Olsson

Cardiovascular disease remains a significant problem in modern society. Among non-invasive techniques, the electrocardiogram (ECG) is one of the most reliable methods for detecting abnormalities in cardiac activities. However, ECG…

Signal Processing · Electrical Eng. & Systems 2023-03-22 Huy Pham , Konstantin Egorov , Alexey Kazakov , Semen Budennyy

An arrhythmia, also known as a dysrhythmia, refers to an irregular heartbeat. There are various types of arrhythmias that can originate from different areas of the heart, resulting in either a rapid, slow, or irregular heartbeat. An…

Signal Processing · Electrical Eng. & Systems 2024-01-12 Taymaz Akan , Sait Alp , Mohammad Alfrad Nobel Bhuiyan

Left ventricular segmentation is essential for measuring left ventricular function indices. Segmentation of one or several images requires an initial guess of the contour. It is hypothesized here that creating an initial guess by first…

Computer Vision and Pattern Recognition · Computer Science 2015-10-13 Yael Petrank , Nahum Smirin , Yossi Tsadok , Zvi Friedman , Peter Lysiansky , Dan Adam

Cardiac MRI allows for a comprehensive assessment of myocardial structure, function and tissue characteristics. Here we describe a foundational vision system for cardiac MRI, capable of representing the breadth of human cardiovascular…

As the number of patients with heart failure increases, machine learning (ML) has garnered attention in cardiomyopathy diagnosis, driven by the shortage of pathologists. However, endomyocardial biopsy specimens are often small sample size…

Machine Learning · Computer Science 2025-10-23 Masaya Mori , Yuto Omae , Yutaka Koyama , Kazuyuki Hara , Jun Toyotani , Yasuo Okumura , Hiroyuki Hao

Accurate segmentation of cardiac structures in cardiovascular magnetic resonance (CMR) images is essential for reliable diagnosis and treatment of cardiovascular diseases. However, manual segmentation remains time-consuming and suffers from…

Computer Vision and Pattern Recognition · Computer Science 2026-04-07 Ujjwal Jain

Segmenting anatomical structures in medical images has been successfully addressed with deep learning methods for a range of applications. However, this success is heavily dependent on the quality of the image that is being segmented. A…

Image and Video Processing · Electrical Eng. & Systems 2020-07-06 Ilkay Oksuz , James R. Clough , Bram Ruijsink , Esther Puyol Anton , Aurelien Bustin , Gastao Cruz , Claudia Prieto , Andrew P. King , Julia A. Schnabel

The electrocardiogram (ECG) is modulated by torso-heart anatomy, and this challenges patients' diagnosis and risk stratification. This study aims to quantify how torso-heart anatomical factors affect sex-differences in ECG biomarkers in…

Acquiring annotated data at scale with rare diseases or conditions remains a challenge. It would be extremely useful to have a method that controllably synthesizes images that can correct such underrepresentation. Assuming a proper latent…

Image and Video Processing · Electrical Eng. & Systems 2021-07-06 Spyridon Thermos , Xiao Liu , Alison O'Neil , Sotirios A. Tsaftaris

Objective: This work aims at providing a new method for the automatic detection of atrial fibrillation, other arrhythmia and noise on short single lead ECG signals, emphasizing the importance of the interpretability of the classification…

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

Computational cardiac modelling is a mature area of biomedical computing, and is currently evolving from a pure research tool to aiding in clinical decision making. Assessing the reliability of computational model predictions is a key…

Computational Physics · Physics 2018-01-10 Rocío Rodríguez-Cantano , Joakim Sundnes , Marie E. Rognes

Usually, clinicians assess the correct hemodynamic behavior and fetal well-being during the gestational age thanks to their professional expertise, with the support of some indices defined for Doppler fetal waveforms. Although this approach…

Cardio-mechanical models can be used to support clinical decision-making. Unfortunately, the substantial computational effort involved in many cardiac models hinders their application in the clinic, despite the fact that they may provide…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 Robin Willems , Peter Förster , Sebastian Schöps , Olaf van der Sluis , Clemens V. Verhoosel

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

Atrial fibrillation is a heart rhythm disorder that affects tens of millions people worldwide. The most effective treatment is catheter ablation. This involves irreversible heating of abnormal cardiac tissue facilitated by electroanatomical…

Medical Physics · Physics 2022-11-01 Jiyue He , Arkady Pertsov , Sanjay Dixit , Katie Walsh , Eric Toolan , Rahul Mangharam