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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

The Electrocardiograph signal represents the heart's electrical activity while blood pressure results from the heart's mechanical activity. Previous studies have investigated how the heart's electrical and mechanical activities are related…

Signal Processing · Electrical Eng. & Systems 2020-08-25 Seyedeh Somayyeh Mousavi , Mostafa Charmi , Mohammad Firouzmand , Mohammad Hemmati , Maryam Moghadam , Yadollah Ghorbani

In this paper we introduce a new mathematical model for the active contraction of cardiac muscle, featuring different thermo-electric and nonlinear conductivity properties. The passive hyperelastic response of the tissue is described by an…

Tissues and Organs · Quantitative Biology 2019-05-02 Ricardo Ruiz Baier , Alessio Gizzi , Alessandro Loppini , Christian Cherubini , Simonetta Filippi

We introduce an innovative lumped-parameter model of the aortic valve, designed to efficiently simulate the impact of valve dynamics on blood flow. Our reduced model includes the elastic effects associated with the leaflets' curvature and…

Numerical Analysis · Mathematics 2025-04-15 Ivan Fumagalli , Luca Dede' , Alfio Quarteroni

Cardiac arrhythmogenesis is governed by complex electromechanical interactions that are not directly observable in vivo, motivating the development of non-invasive computational approaches for reconstructing three-dimensional activation…

Medical Physics · Physics 2026-03-05 Nathan Dermul , Hans Dierckx

In cases of pressure or volume overload, probing cardiac function may be difficult because of the interactions between shape and deformations.In this work, we use the LDDMM framework and parallel transport to estimate and reorient…

Computer Vision and Pattern Recognition · Computer Science 2021-02-18 Nicolas Guigui , Pamela Moceri , Maxime Sermesant , Xavier Pennec

Physics-based 0D reduced-order models provide computationally lightweight predictions of cardiovascular flows, resolving bulk hemodynamics in fractions of a second that would take days to solve using traditional 3D finite-element…

Computational Engineering, Finance, and Science · Computer Science 2026-04-03 Natalia L. Rubio , Eric F. Darve , Alison L. Marsden

One-dimensional (1D) blood flow simulations are extensively used in cardiovascular research due to their computational efficiency and effectiveness in analyzing pulse wave dynamics. Despite their versatility and simplicity, there is a lack…

Quantitative Methods · Quantitative Biology 2025-08-27 Daehyun Kim , Jeffrey Tithof

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

In this study, we present a comprehensive numerical analysis of blood flow within human left ventricle models, with particular emphasis on optimizing simulation conditions to enhance the realism and computational efficiency of heart flow…

Arrhythmias are potentially fatal disruptions to the normal heart rhythm, but their underlying dynamics is still poorly understood. Theoretical modeling is an important tool to fill this gap. Typical studies often employ detailed…

Tissues and Organs · Quantitative Biology 2022-03-08 R. V. Stenzinger , M. H. R. Tragtenberg

The heart's contraction is caused by electrical excitation which propagates through the heart muscle. It was recently shown that the electrical excitation can be computed from the contractile motion of a simulated piece of heart muscle…

Medical Physics · Physics 2023-05-16 Jan Lebert , Daniel Deng , Lei Fan , Lik Chuan Lee , Jan Christoph

The field of cardiac electrophysiology tries to abstract, describe and finally model the electrical characteristics of a heartbeat. With recent advances in cardiac electrophysiology, models have become more powerful and descriptive as ever.…

Medical Physics · Physics 2022-12-16 Thomas Grandits , Simone Pezzuto , Gernot Plank

Computer modeling can provide quantitative insight into cardiac fluid dynamics phenomena that are not evident from standard imaging tools. We propose a new approach to modeling left ventricle fluid dynamics based on an image-driven…

Valvular heart diseases are growing concern in impoverished parts of the world, such as Southern-Africa, claiming more than 31 % of total deaths related to cardiovascular diseases. The ability to model the effects of regurgitant and…

Medical Physics · Physics 2022-04-11 Ryno Laubscher , Jacques Liebenberg , Philip Herbst

A minimal model for mechanical motion of the left ventricle is proposed. The model assumes the left ventricle to be a harmonic oscillator with two distinct phases, simulating the systolic and diastolic phases, at which both the amplitude…

Medical Physics · Physics 2007-05-23 S. Dubi , C. Dubi , Y. Dubi

Simulating the cardiac function requires the numerical solution of multi-physics and multi-scale mathematical models. This underscores the need for streamlined, accurate, and high-performance computational tools. Despite the dedicated…

In this study we present a novel computational model for unprecedented simulations of the whole cardiac electrophysiology. According to the heterogeneous electrophysiologic properties of the heart, the whole cardiac geometry is decomposed…

Medical Physics · Physics 2022-03-14 Giulio Del Corso , Roberto Verzicco , Francesco Viola

Since myocardial fibers drive the electric signal propagation throughout the myocardium, accurately modeling their arrangement is essential for simulating heart electrophysiology (EP). Rule-Based-Methods (RBMs) represent a commonly used…

We present a novel approach to reconstruction of 3D cardiac motion from sparse intraoperative data. While existing methods can accurately reconstruct 3D organ geometries from full 3D volumetric imaging, they cannot be used during surgical…

Computer Vision and Pattern Recognition · Computer Science 2024-12-04 Yihong Chen , Jiancheng Yang , Deniz Sayin Mercadier , Hieu Le , Pascal Fua