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We propose an integrated electromechanical model of the human heart, with focus on the left ventricle, wherein biophysically detailed models describe the different physical phenomena concurring to the cardiac function. We model the…

In numerical simulations of cardiac mechanics, coupling the heart to a model of the circulatory system is essential for capturing physiological cardiac behavior. A popular and efficient technique is to use an electrical circuit analogy,…

The circulatory system, comprising the heart and blood vessels, is vital for nutrient transport, waste removal, and homeostasis. Traditional computational models often treat cardiac electromechanics and blood flow dynamics separately,…

Computer models of cardiac electro-mechanics (EM) show promise as an effective means for quantitative analysis of clinical data and, potentially, for predicting therapeutic responses.realize such advanced applications methodological key…

We developed a novel patient-specific computational model for the numerical simulation of ventricular electromechanics in patients with ischemic cardiomyopathy (ICM). This model reproduces the activity both in sinus rhythm (SR) and in…

The impact of increased stiffness and pulsatile load on the circulation and their influence on heart performance have been documented not only for cardiovascular events but also for ventricular dysfunctions. For this reason, computer models…

Numerical Analysis · Mathematics 2021-11-11 Federica Caforio , Christoph M. Augustin , Jordi Alastruey , Matthias A. F. Gsell , Gernot Plank

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…

Computer-based simulations of non-invasive cardiac electrical outputs, such as electrocardiograms and body surface potential maps, usually entail severe computational costs due to the need of capturing fine-scale processes and to the…

Numerical Analysis · Mathematics 2023-08-09 Elena Zappon , Andrea Manzoni , Alfio Quarteroni

We propose a mathematical and numerical model for the simulation of the heart function that couples cardiac electrophysiology, active and passive mechanics and hemodynamics, and includes reduced models for cardiac valves and the circulatory…

Numerical Analysis · Mathematics 2022-08-12 Michele Bucelli , Alberto Zingaro , Pasquale Claudio Africa , Ivan Fumagalli , Luca Dede' , Alfio Quarteroni

In this work, we develop patient-specific cardiocirculatory models with the aim of building Digital Twins for hypertension. In particular, in our pathophysiology-based framework, we consider both 0D cardiocirculatory models and a 3D-0D…

Numerical Analysis · Mathematics 2025-11-27 Simone Celora , Andrea Tonini , Francesco Regazzoni , Luca Dede' , Gianfranco Parati , Alfio Quarteroni

Computational hemodynamics is becoming an increasingly important tool in clinical applications and surgical procedures involving the cardiovascular system. Aim of this review is to provide a compact summary of state of the art 0D-1D…

Medical Physics · Physics 2022-01-03 Stefania Scarsoglio , Luca Ridolfi

In silico models of cardiac electromechanics couple together mathematical models describing different physics. One instance is represented by the model describing the generation of active force, coupled with the one of tissue mechanics. For…

Numerical Analysis · Mathematics 2020-08-03 Francesco Regazzoni , Alfio Quarteroni

While ventricular electromechanics is extensively studied, four-chamber heart models have only been addressed recently; most of these works however neglect atrial contraction. Indeed, as atria are characterized by a complex physiology…

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

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

Zero-dimensional (0D) cardiovascular models are reduced-order models used to study global circulation dynamics and transport. They provide estimates of biomarkers (such as pressure, flow rates, and concentrations) for surgery planning and…

Numerical Analysis · Mathematics 2025-11-14 John M. Hanna , Pavlos Varsos , Jérôme Kowalski , Lorenzo Sala , Roel Meiburg , Irene E. Vignon-Clementel

Intracardiac flow patterns are shaped by the coupled motion of the cardiac chambers and heart valves and provide important information about cardiac function. However, clinical flow imaging remains limited by exam times, noise, resolution,…

Image and Video Processing · Electrical Eng. & Systems 2026-05-12 Fanwei Kong , Aaron Brown , Michael Loecher , Perry S. Choi , Lei Shi , Michael Ma , Daniel B. Ennis , Alison Marsden

We present the meshfree Mixed Collocation Method (MCM) to solve the monodomain model for numerical simulation of cardiac electrophysiology. We apply MCM to simulate cardiac electrical propagation in 2D tissue sheets and 3D tissue slabs as…

Numerical Analysis · Mathematics 2021-10-14 Konstantinos A. Mountris , Esther Pueyo

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

Mathematical models of cardiac electrical activity are one of the most important tools for elucidating information about the heart diagnostic. Even though it is one of the major problems in biomedical research, an efficient mathematical…

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