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One dimensional (1D) simulations of the flow and flooding of open channels are known to be inaccurate as the flow is multi-dimensional in nature, especially at the flooded regions. However, multi-dimensional simulations, even in two…

Numerical Analysis · Mathematics 2017-01-11 Chinedu Nwaigwe , Andreas Dedner

3D-0D coupled flow models are widely used across many application fields but remain challenging to solve. Implicit coupling introduces non-local terms, whereas explicit coupling results in only conditionally stable schemes. Furthermore,…

Numerical Analysis · Mathematics 2025-12-10 Jeremías Garay , David Nolte , Cristóbal Bertoglio

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…

Interest in the application of engineering methods to problems in congenital heart disease has gained increased popularity over the past decade. The use of computational simulation to examine common clinical problems including single…

Medical Physics · Physics 2011-01-20 Irene Vignon Clementel , Alison L. Marsden , Jeffrey A. Feinstein

This paper deals with a new solid-fluid coupling algorithm between a rigid body and an unsteady compressible fluid flow, using an Embedded Boundary method. The coupling with a rigid body is a first step towards the coupling with a Discrete…

Numerical Analysis · Mathematics 2016-12-01 Laurent Monasse , Virginie Daru , Christian Mariotti , Serge Piperno , Christian Tenaud

We present a new model and a novel loosely coupled partitioned numerical scheme modeling fluid-structure interaction (FSI) in blood flow allowing non-zero longitudinal displacement. Arterial walls are modeled by a {linearly viscoelastic,…

Numerical Analysis · Mathematics 2015-06-05 Martina Bukac , Suncica Canic , Roland Glowinski , Josip Tambaca , Annalisa Quaini

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…

Reduced-order models based on physics are a popular choice in cardiovascular modeling due to their efficiency, but they may experience reduced accuracy when working with anatomies that contain numerous junctions or pathological conditions.…

Large prospective epidemiological studies acquire cardiovascular magnetic resonance (CMR) images for pre-symptomatic populations and follow these over time. To support this approach, fully automatic large-scale 3D analysis is essential. In…

Image and Video Processing · Electrical Eng. & Systems 2019-07-04 Rahman Attar , Marco Pereanez , Christopher Bowles , Stefan K. Piechnik , Stefan Neubauer , Steffen E. Petersen , Alejandro F. Frangi

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

Ultrafast power Doppler imaging (uPDI) has become a powerful tool for both research and clinical applications. However, existing simulation tools are insufficient for generating quantitatively accurate three-dimensional (3D) flow fields…

Signal Processing · Electrical Eng. & Systems 2025-10-28 Qiang Fu , Changhui Li

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

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 heart is a vital organ that relies on the orchestrated propagation of electrical stimuli to coordinate each heart beat. Abnormalities in the heart's electrical behaviour can be managed with a cardiac pacemaker. Recently, the closed-loop…

Systems and Control · Computer Science 2016-03-21 Eugene Yip , Sidharta Andalam , Partha S. Roop , Avinash Malik , Mark Trew , Weiwei Ai , Nitish Patel

High-quality 3D reconstruction of pulmonary segments plays a crucial role in segmentectomy and surgical planning for the treatment of lung cancer. Due to the resolution requirement of the target reconstruction, conventional deep…

Graphics · Computer Science 2025-12-16 Kangxian Xie , Yufei Zhu , Kaiming Kuang , Li Zhang , Hongwei Bran Li , Mingchen Gao , Jiancheng Yang

Multi-planar tagged MRI is the gold standard for regional heart wall motion evaluation. However, accurate recovery of the 3D true heart wall motion from a set of 2D apparent motion cues is challenging, due to incomplete sampling of the true…

Image and Video Processing · Electrical Eng. & Systems 2024-12-10 Meng Ye , Bingyu Xin , Bangwei Guo , Leon Axel , Dimitris Metaxas

Accurate 3D models of the human heart require not only correct outer surfaces but also realistic inner structures, such as the ventricles, atria, and myocardial layers. Approaches relying on implicit surfaces, such as signed distance…

Computer Vision and Pattern Recognition · Computer Science 2025-04-03 Hieu Le , Jingyi Xu , Nicolas Talabot , Jiancheng Yang , Pascal Fua

Accurate and efficient modeling of cardiac blood flow is crucial for advancing data-driven tools in cardiovascular research and clinical applications. Recently, the accuracy and availability of computational fluid dynamics (CFD)…

Fluid Dynamics · Physics 2025-07-30 Eneko Lazpita , Jesus Garicano-Mena , Soledad Le Clainche

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…

The present article proposes a partitioned Dirichlet-Neumann algorithm, that allows to address unique challenges arising from a novel mixed-dimensional coupling of very slender fibers embedded in fluid flow using a regularized mortar-type…

Numerical Analysis · Mathematics 2023-12-04 Nora Hagmeyer , Matthias Mayr , Alexander Popp