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Wall shear stress (WSS) is a crucial hemodynamic quantity extensively studied in cardiovascular research, yet its numerical computation is not straightforward. This work aims to compare WSS results obtained from two different finite element…

Numerical Analysis · Mathematics 2025-01-07 Jana Brunátová , Jørgen Schartum Dokken , Kristian Valen-Sendstad , Jaroslav Hron

Simulation-based imaging (SBI) is a blood flow imaging technique that optimally fits a computational fluid dynamics (CFD) simulation to low-resolution, noisy magnetic resonance (MR) flow data to produce a high-resolution velocity field. In…

Numerical Analysis · Mathematics 2021-10-01 Charles J. Naudet , Johannes Toger , Matthew J. Zahr

Arterial wall shear stress (WSS) parameters are widely used for prediction of the initiation and development of atherosclerosis and arterial pathologies. Traditional clinical evaluation of arterial condition relies on correlations of WSS…

Fluid Dynamics · Physics 2017-02-15 Idit Avrahami , Dikla Kersh , Alex Liberzon

In this numerical study areas of the carotid bifurcation and of a distal stenosis in the internal carotid artery are closely observed to evaluate the patient's current risks of ischemic stroke. An indicator for the vessel wall defects is…

Analysis of PDEs · Mathematics 2022-09-23 Kevin Richter , Tristan Probst , Anna Hundertmark , Pepe Eulzer , Kai Lawonn

Computational fluid dynamics (CFD) is a valuable asset for patient-specific cardiovascular-disease diagnosis and prognosis, but its high computational demands hamper its adoption in practice. Machine-learning methods that estimate blood…

Machine Learning · Computer Science 2024-06-18 Julian Suk , Pim de Haan , Phillip Lippe , Christoph Brune , Jelmer M. Wolterink

As the original velocity field obtained from four-dimensional (4D) flow magnetic resonance imaging (MRI) contains considerable amount of noises and errors, the available Divergence-free smoothing (DFS) method can be used to process the 4D…

Computational Engineering, Finance, and Science · Computer Science 2019-12-10 Qi Gao , Xingli Liu , Hongping Wang , Fei Li , Peng Wu , Zhaozhuo Niu , Mansu Jin , RunJie Wei

This work introduces a 4D-flow magnetic resonance imaging (MRI) pressure reconstruction method which employs weighted least-squares (WLS) for pressure integration. Pressure gradients are calculated from the velocity fields, and velocity…

Atherosclerosis is a disease caused due to formation of plaque into the artery. Increase in plaque affects the wall shear stress. The present study is performed to calculate wall shear stress in different geometries of stenosed carotid…

Medical Physics · Physics 2017-06-05 Ruchika Bhatia , Sharda Vashisth , Renu Saini

In recent decades, the use of 4D Flow MRI images has enabled the quantification of velocity fields within a volume of interest and along the cardiac cycle. However, the lack of resolution and the presence of noise in these biomarkers are…

Image and Video Processing · Electrical Eng. & Systems 2025-06-26 Simon Perrin , Sébastien Levilly , Huajun Sun , Harold Mouchère , Jean-Michel Serfaty

Hemodynamic parameters are often estimated assuming a constant Newtonian viscosity, even though blood exhibits shear-thinning behavior. This article investigates the influence of blood rheology and hematocrit (Hct) percentage on the…

Signal Processing · Electrical Eng. & Systems 2025-07-15 Hernán Mella , Felipe Galarce , Tetsuro Sekine , Julio Sotelo , Ernesto Castillo

A discrete boundary-sensitive Hodge decomposition is proposed as a central tool for the analysis of wall shear stress (WSS) vector fields in aortic blood flows. The method is based on novel results for the smooth and discrete…

Quantitative Methods · Quantitative Biology 2018-11-22 Faniry H. Razafindrazaka , Pavlo Yevtushenko , Konstantin Poelke , Konrad Polthier , Leonid Goubergrits

Friction drag from a turbulent fluid moving past or inside an object plays a crucial role in domains as diverse as transportation, public utility infrastructure, energy technology, and human health. As a direct measure of the shear-induced…

Fluid Dynamics · Physics 2023-10-19 Esther Lagemann , Steven L. Brunton , Christian Lagemann

Patient-specific modeling of cardiovascular flows with high-fidelity is challenging due to its dependence on accurately estimated velocity boundary profiles, which are essential for precise simulations and directly influence wall shear…

Numerical Analysis · Mathematics 2024-11-28 Kabir Bakhshaei , Sajad Salavatidezfouli , Giovanni Stabile , Gianluigi Rozza

Abdominal aortic aneurysms (AAAs) are pathologic dilatations of the abdominal aorta posing a high fatality risk upon rupture. Studying AAA progression and rupture risk often involves in-silico blood flow modelling with computational fluid…

Computer Vision and Pattern Recognition · Computer Science 2025-07-31 Patryk Rygiel , Julian Suk , Christoph Brune , Kak Khee Yeung , Jelmer M. Wolterink

Bernoulli pads generate locally large wall shear stresses on workpieces, which can be used for cleaning, but may also damage delicate surfaces. This work presents direct measurements of the wall shear stress using constant temperature…

An experimental study is reported which investigates the wall shear stress (WSS) distribution in a transparent model of the human aorta comparing a bileaflet mechanical heart valve (BMHV) with a trileaflet mechanical heart valve (TMHV) in…

Fluid Dynamics · Physics 2018-07-05 Qianhui Li , Christoph H. Bruecker

This study investigates the effects of geometric model reduction on blood flow simulations in the patient-specific descending aorta, followed by speed-accuracy trade-off analysis using 3D simulations. We demonstrate how wall shear stresses…

Fluid Dynamics · Physics 2025-12-12 Rishi Kumar , K. Muralidhar , Indranil Saha Dalal

The wall shear stress is a quantity of profound importance for clinical diagnosis of artery diseases. The lattice Boltzmann is an easily parallelizable numerical method of solving the flow problems, but it suffers from errors of the…

Computational Physics · Physics 2013-05-17 Maciej Matyka , Zbigniew Koza , Łukasz Mirosław

We consider the stable reconstruction of flow geometry and wall shear stress from measurements obtained by magnetic resonance imaging. As noted in a review article by Petersson, most approaches considered so far in the literature seem not…

Numerical Analysis · Mathematics 2019-09-04 Herbert Egger , Gabriel Teschner

Typical approaches to patient-specific hemodynamic studies of cerebral aneurysms use image based computational fluid dynamics (CFD) and seek to statistically correlate parameters such as wall shear stress (WSS) and oscillatory shear index…

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