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This work introduces a new class of four-dimensional variational data assimilation (4D-Var) methods grounded in data-consistent inversion (DCI) theory. The methods extend classical 4D-Var by incorporating a predictability-aware…

Numerical Analysis · Mathematics 2025-11-04 Rylan Spence , Troy Butler , Clint Dawson

Variational data assimilation and deep learning share many algorithmic aspects in common. While the former focuses on system state estimation, the latter provides great inductive biases to learn complex relationships. We here design a…

Machine Learning · Computer Science 2022-11-18 Arthur Filoche , Julien Brajard , Anastase Charantonis , Dominique Béréziat

We numerically investigate the influence of flow development on secondary flow patterns and subsequent wall shear stress distributions in a curved artery model, and we compute vascular metrics commonly used to assess variations in blood…

Fluid Dynamics · Physics 2022-09-20 Christopher Cox , Michael W. Plesniak

The formation of shear shock waves in the brain has been proposed as one of the plausible explanations for deep intracranial injuries. In fact, such singular solutions emerge naturally in soft viscoelastic tissues under dynamic loading…

Soft Condensed Matter · Physics 2025-02-05 Harold Berjamin

Flow fluctuations have recently emerged as a promising hemodynamic metric for understanding the rupture risk of intracranial aneurysms. Several investigations have reported in the literature corresponding flow instabilities using…

Fluid Dynamics · Physics 2023-06-05 Feng Huang , Seyed Ali Hosseini , Gabor Janiga , Dominique Thévenin

Numerous are the questionings raised by medicine interventionnelle, concerning the hold in charge of the pathologies of the arterial partition (aneurysm, dissection, coarctation, atherosclerosis).for it we made the modeling and the numeric…

Fluid Dynamics · Physics 2009-06-29 H . Alla , M. S. Gueblaoui , M. H. Bensaid

Cardiac pulsations in the human brain have received recent interest due to their possible role in the pathogenesis of neurodegenerative diseases. Further interest stems from their possible application as an endogenous signal source that can…

Numerical Analysis · Mathematics 2025-02-06 Lukas Weissinger , Simon Hubmer , Ronny Ramlau , Henning Uwe Voss

In this paper we study the reconstruction of moving object densities from undersampled dynamic X-ray tomography in two dimensions. A particular motivation of this study is to use realistic measurement protocols for practical applications,…

Numerical Analysis · Mathematics 2018-03-28 Martin Burger , Hendrik Dirks , Lena Frerking , Andreas Hauptmann , Tapio Helin , Samuli Siltanen

The CVS is composed of numerous interacting and dynamically regulated physiological subsystems which each generate measurable periodic components such that the CVS can itself be presented as a system of weakly coupled oscillators. The…

The precise simulation of turbulent flows holds immense significance across various scientific and engineering domains, including climate science, freshwater science, and energy-efficient manufacturing. Within the realm of simulating…

Fluid Dynamics · Physics 2024-12-31 Shengyu Chen , Peyman Givi , Can Zheng , Xiaowei Jia

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

Ultrasound Localization Microscopy (ULM) has presented great potential in functional imaging, benefiting from its ability to reconstruct deep microvasculature. However, the hemodynamic reconstruction is compromised by sparsity in the ULM…

Image and Video Processing · Electrical Eng. & Systems 2026-05-27 Jipeng Yan , Oscar Bates , Jingwen Zhu , Qingyuan Tan , Biao Huang , John Goodwin , Andriy S. Kozlov , Chris Dunsby , Meng-Xing Tang

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.…

This brief article accompanies a fluid dynamics video presenting the results of a large-eddy simulation of the flow in a realistic left heart. The left heart geometry, from the pulmonary veins to the aortic root, is extracted from medical…

Fluid Dynamics · Physics 2013-10-14 Christophe Chnafa , Simon Mendez , Franck Nicoud

This paper investigates the application of a data-driven technique based on retrospective cost optimization to optimize the frequency of mass injection into an S-shaped diffuser, with the objective of maximizing the pressure recovery.…

Flow image super-resolution (FISR) aims at recovering high-resolution turbulent velocity fields from low-resolution flow images. Existing FISR methods mainly process the flow images in natural image patterns, while the critical and distinct…

Image and Video Processing · Electrical Eng. & Systems 2024-01-30 Qinglong Cao , Zhengqin Xu , Chao Ma , Xiaokang Yang , Yuntian Chen

Most Computational Fluid Dynamics (CFD) studies of hemodynamics in intracranial aneurysms are based on the assumption of laminar flow due to a relatively low (below 500) parent artery Reynolds number. A few studies have recently…

Fluid Dynamics · Physics 2015-12-09 Kartik Jain , Sabine Roller , Kent-Andre Mardal

A novel approach is adopted to model cerebrospinal fluid (CSF) flow in human perivascular spaces (PVSs) surrounding brain-penetrating arteries. It is proposed that the outer PVS boundary oscillates due to brain pulsations and the arterial…

Fluid Dynamics · Physics 2025-10-24 Gregory Holba , James P. Hague , Nigel Hoggard , Marc Pradas

We are interested in simulating blood flow in arteries with a one dimensional model. Thanks to recent developments in the analysis of hyperbolic system of conservation laws (in the Saint-Venant/ shallow water equations context) we will…

Numerical Analysis · Mathematics 2013-04-24 Olivier Delestre , Pierre-Yves Lagrée

Bicuspid aortic valve is the most common congenital heart defect, affecting 1-2% of the global population. Patients with bicuspid valves frequently develop dilation and aneurysms of the ascending aorta. Both hemodynamic and genetic factors…

Tissues and Organs · Quantitative Biology 2022-08-26 Alexander D. Kaiser , Rohan Shad , Nicole Schiavone , William Hiesinger , Alison L. Marsden