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We present a novel mathematical model that simulates myocardial blood perfusion by embedding multiscale and multiphysics features. Our model incorporates cardiac electrophysiology, active and passive mechanics, hemodynamics, reduced valve…

Computational Engineering, Finance, and Science · Computer Science 2023-03-27 Alberto Zingaro , Christian Vergara , Luca Dede' , Francesco Regazzoni , Alfio Quarteroni

Cardiac deformation is a crucial biomarker for the evaluation of cardiac function. Current methods for estimating cardiac strain might underestimate local deformation due to through-plane motion and segmental averaging. Mesh-based mapping…

Tissues and Organs · Quantitative Biology 2025-04-07 Beatrice Moscoloni , Patrick Segers , Mathias Peirlinck

We propose a novel neural deformable model (NDM) targeting at the reconstruction and modeling of 3D bi-ventricular shape of the heart from 2D sparse cardiac magnetic resonance (CMR) imaging data. We model the bi-ventricular shape using…

Computer Vision and Pattern Recognition · Computer Science 2024-11-25 Meng Ye , Dong Yang , Mikael Kanski , Leon Axel , Dimitris Metaxas

Cardiac fluid dynamics fundamentally involves interactions between complex blood flows and the structural deformations of the muscular heart walls and the thin, flexible valve leaflets. There has been longstanding scientific, engineering,…

Clinical oriented applications of computational electrocardiology require efficient and reliable identification of patient-specific parameters of mathematical models based on available measures. In particular, the estimation of cardiac…

Numerical Analysis · Mathematics 2016-11-01 Huanhuan Yang , Alessandro Veneziani

Simultaneous electrocardiography (ECG) and phonocardiogram (PCG) provide a comprehensive, multimodal perspective on cardiac function by capturing the heart's electrical and mechanical activities, respectively. However, the distinct and…

Machine Learning · Computer Science 2025-06-13 Sajjad Karimi , Amit J. Shah , Gari D. Clifford , Reza Sameni

Electrocardiogram (ECG) is one of the non-invasive and low-risk methods to monitor the condition of the human heart. Any abnormal pattern(s) in the ECG signal is an indicative measure of malfunctioning of the heart, termed as arrhythmia.…

Signal Processing · Electrical Eng. & Systems 2018-10-10 Sai Manoj Pudukotai Dinakarrao , Matthias Wess

Computational fluid dynamics (CFD) based simulation of coronary blood flow provides valuable hemodynamic markers, such as pressure gradients, for diagnosing coronary artery disease (CAD). However, CFD is computationally expensive,…

Computer Vision and Pattern Recognition · Computer Science 2025-12-12 Rene Lisasi , Michele Esposito , Chen Zhao

We present a deep learning model to automatically generate computer models of the human heart from patient imaging data with an emphasis on its capability to generate thin-walled cardiac structures. Our method works by deforming a template…

Computer Vision and Pattern Recognition · Computer Science 2024-01-05 Arjun Narayanan , Fanwei Kong , Shawn Shadden

In this paper, we propose an enhanced 3D myocardial strain estimation procedure, which combines complementary displacement information from multiple orientations of a single imaging modality (untagged CMR SSFP images). To estimate…

Image and Video Processing · Electrical Eng. & Systems 2020-12-01 Mohamed Abdelkhalek , Heba Aguib , Mohamed Moustafa , Khalil Elkhodary

Many strides have been made in semantic segmentation of multiple classes within an image. This has been largely due to advancements in deep learning and convolutional neural networks (CNNs). Features within a CNN are automatically learned…

Image and Video Processing · Electrical Eng. & Systems 2019-09-17 Erik Gaasedelen , Alex Deakyne , Paul Iaizzo

Personalized virtual heart models have demonstrated increasing potential for clinical use, although the estimation of their parameters given patient-specific data remain a challenge. Traditional physics-based modeling approaches are…

Signal Processing · Electrical Eng. & Systems 2024-03-26 Xiajun Jiang , Sumeet Vadhavkar , Yubo Ye , Maryam Toloubidokhti , Ryan Missel , Linwei Wang

We develop a minimal whole-heart model that describes cardiac electrical conduction and simulate a basic three-lead electrocardiogram (ECG). We compare our 3-lead ECG model with clinical data from a Norwegian athlete database. The results…

Tissues and Organs · Quantitative Biology 2025-06-26 João Olívia , Rui Dilão

We present a hybrid vertex/cell-centred model for mechanically simulating planar cellular monolayers undergoing cell reorganisation. Cell centres are represented by a triangular nodal network, while the cell boundaries are formed by an…

Cell Behavior · Quantitative Biology 2017-05-17 Payman Mosaffa , Antonio Rodríguez-Ferran , José J. Muñoz

We analyze a Balancing Domain Decomposition by Constraints (BDDC) preconditioner for the solution of three dimensional composite Discontinuous Galerkin discretizations of reaction-diffusion systems of ordinary and partial differential…

Heart failure is one of the most common causes of death in the western world. Many heart problems are linked to disturbances in cardiac electrical activity, such as wave re-entry caused by ischaemia. In terms of mathematical modelling, the…

Numerical Analysis · Mathematics 2018-09-24 Megan E. Farquhar , Timothy J. Moroney , Qianqian Yang , Ian W. Turner , Kevin Burrage

Recovering the 3D motion of the heart from cine cardiac magnetic resonance (CMR) imaging enables the assessment of regional myocardial function and is important for understanding and analyzing cardiovascular disease. However, 3D cardiac…

Image and Video Processing · Electrical Eng. & Systems 2022-08-02 Qingjie Meng , Chen Qin , Wenjia Bai , Tianrui Liu , Antonio de Marvao , Declan P O'Regan , Daniel Rueckert

Multiphysics and multiscale mathematical models enable the non-invasive study of cardiac function. These models often rely on simplifying assumptions that neglect certain biophysical processes to balance fidelity and computational cost. In…

Numerical Analysis · Mathematics 2025-04-07 Irena Radišić , Francesco Regazzoni , Michele Bucelli , Stefano Pagani , Luca Dede' , Alfio Quarteroni

We present a loosely coupled scheme for the numerical simulation of the cardiac electro-fluid-structure interaction problem, whose solution is typically computationally intensive due to the need to suitably treat the coupling of the…

Numerical Analysis · Mathematics 2023-08-09 Michele Bucelli , Martin Geraint Gabriel , Giacomo Gigante , Alfio Quarteroni , Christian Vergara

Learning neural operators on heterogeneous and irregular geometries remains a fundamental challenge, as existing approaches typically rely on structured discretisations or explicit mappings to a shared reference domain. We propose a unified…