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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

In this work, we present mixed dimensional models for simulating blood flow and transport processes in breast tissue and the vascular tree supplying it. These processes are considered, to start from the aortic inlet to the capillaries and…

Tissues and Organs · Quantitative Biology 2022-10-10 Marvin Fritz , Tobias Köppl , J. Tinsley Oden , Andreas Wagner , Barbara Wohlmuth , Chengyue Wu

The numerical tools to simulate the bidomain model in cardiac electrophysiology are constantly developing due to the great clinical interest and scientific advances in mathematical models and computational power. The bidomain model consists…

Numerical Analysis · Mathematics 2025-11-03 Gopika P B , Peter Bastian , Nagaiah Chamakuri

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

Computational fluid dynamics (CFD) is an important tool for the simulation of the cardiovascular function and dysfunction. Due to the complexity of the anatomy, the transitional regime of blood flow in the heart, and the strong mutual…

Calcification has significant influence over cardiovascular diseases and interventions. Detailed characterization of calcification is thus desired for predictive modeling, but calcified heart meshes for physics-driven simulations are still…

Computational Engineering, Finance, and Science · Computer Science 2024-03-11 Daniel H. Pak , Minliang Liu , Theodore Kim , Caglar Ozturk , Raymond McKay , Ellen T. Roche , Rudolph Gleason , James S. Duncan

Image-based modeling is essential for understanding cardiovascular hemodynamics and advancing the diagnosis and treatment of cardiovascular diseases. Constructing patient-specific vascular models remains labor-intensive, error-prone, and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-18 Pan Du , Delin An , Chaoli Wang , Jian-Xun Wang

The presented multi-scale, closed-loop blood circulation model includes arterial, venous, and portal venous systems, heart-pulmonary circulation, and micro-circulation in capillaries. One-dimensional models simulate large blood vessel flow,…

Medical Physics · Physics 2024-04-03 Jiawei Liu , Hiroshi Suito

Blood vessel networks form by spontaneous aggregation of individual cells migrating toward vascularization sites (vasculogenesis). A successful theoretical model of two dimensional experimental vasculogenesis has been recently proposed,…

Numerical Analysis · Mathematics 2009-11-11 F. Cavalli , A. Gamba , G. Naldi , M. Semplice , D. Valdembri , G. Serini

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

Parameter estimation and uncertainty quantification are crucial in computational cardiology, as they enable the construction of digital twins that faithfully replicate the behavior of physical patients. Robust and efficient mathematical…

Numerical Analysis · Mathematics 2022-10-07 Matteo Salvador , Francesco Regazzoni , Luca Dede' , Alfio Quarteroni

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

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

The blood vascular system consists of blood vessels such as arteries, arterioles, capillaries and veins that convey blood throughout the body. The pressure difference which exists between the ends of the vessels provides the living force…

Tissues and Organs · Quantitative Biology 2020-04-21 Tahmineh Azizi , Robert Mugabi

Hybrid modeling, the combination of first principle and machine learning models, is an emerging research field that gathers more and more attention. Even if hybrid models produce formidable results for academic examples, there are still…

Machine Learning · Computer Science 2021-12-15 Tobias Thummerer , Johannes Tintenherr , Lars Mikelsons

Cardiac digital twins are computational tools capturing key functional and anatomical characteristics of patient hearts for investigating disease phenotypes and predicting responses to therapy. When paired with large-scale computational…

Computational Engineering, Finance, and Science · Computer Science 2024-01-19 Julia Camps , Zhinuo Jenny Wang , Ruben Doste , Maxx Holmes , Brodie Lawson , Jakub Tomek , Kevin Burrage , Alfonso Bueno-Orovio , Blanca Rodriguez

Morphology of cardiovascular tissue is influenced by the unsteady behavior of the blood flow and vice versa. Therefore, the pathogenesis of several cardiovascular diseases is directly affected by the blood-flow dynamics. Understanding flow…

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

A reliable and fast numerical scheme is crucial for the 1D simulation of blood flow in compliant vessels. In this paper, a 1D blood flow model is incorporated with a Kelvin-Voigt viscoelastic arterial wall. This leads to a nonlinear…

Medical Physics · Physics 2014-09-17 Xiaofei Wang , Jose-Maria Fullana , Pierre-Yves Lagrée

Cardiac disease and clinical intervention may both lead to an increased risk for thrombosis events due to modified blood flow in the heart, and thereby a change in the mechanical stimuli of blood cells passing through the chambers of the…