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This paper deals with the problem of building fast and reliable 3D reconstruction methods for blood flows for which partial information is given by Doppler ultrasound measurements. This task is of interest in medicine since it could enrich…

数值分析 · 数学 2020-11-05 Felipe Galarce , Jean-Frédéric Gerbeau , Damiano Lombardi , Olga Mula

Computational fluid dynamics (CFD) is increasingly used to study blood flows in patient-specific arteries for understanding certain cardiovascular diseases. The techniques work quite well for relatively simple problems, but need…

计算物理 · 物理学 2018-10-11 Fande Kong , Vitaly Kheyfets , Ender Finol , Xiao-Chuan Cai

In the context of numerical simulations of the vascular system, local geometric uncertainties have not yet been examined in sufficient detail due to model complexity and the associated large numerical effort. Such uncertainties are related…

The root mean squared error is an important measure used in a variety of applications such as structural dynamics and acoustics to model averaged deviations from standard behavior. For large-scale systems, simulations of this quantity…

数值分析 · 数学 2025-04-22 Sean Reiter , Steffen W. R. Werner

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,…

医学物理 · 物理学 2024-04-03 Jiawei Liu , Hiroshi Suito

Greedy kernel approximation algorithms are successful techniques for sparse and accurate data-based modelling and function approximation. Based on a recent idea of stabilization of such algorithms in the scalar output case, we here consider…

数值分析 · 数学 2021-05-20 Bernard Haasdonk , Tizian Wenzel , Gabriele Santin , Syn Schmitt

Crash simulations play an essential role in improving vehicle safety, design optimization, and injury risk estimation. Unfortunately, numerical solutions of such problems using state-of-the-art high-fidelity models require significant…

机器学习 · 计算机科学 2024-02-16 Jonas Kneifl , Jörg Fehr , Steven L. Brunton , J. Nathan Kutz

The reconstruction of three-dimensional models of coronary arteries is of great significance for the localization, evaluation and diagnosis of stenosis and plaque in the arteries, as well as for the assisted navigation of interventional…

图像与视频处理 · 电气工程与系统科学 2024-12-10 Lu Wang , Dong-xue Liang , Xiao-lei Yin , Jing Qiu , Zhi-yun Yang , Jun-hui Xing , Jian-zeng Dong , Zhao-yuan Ma

Predictive estimation, which comprises model calibration, model prediction, and validation, is a common objective when performing inverse uncertainty quantification (UQ) in diverse scientific applications. These techniques typically require…

数值分析 · 数学 2024-07-17 Ningxin Yang , Truong Le , Lidija Zdravković , David M. Potts

In this work, we propose a novel model order reduction approach for two-phase flow in porous media by introducing a formulation in which the mobility, which realizes the coupling between phase saturations and phase pressures, is regarded as…

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…

数值分析 · 数学 2025-11-03 Gopika P B , Peter Bastian , Nagaiah Chamakuri

This work presents an interpretable parametric surrogate model motivated by the need to identify a hydrodynamic model for resolving the trajectory of an object in real-time. The surrogate is formulated as a reduced-order model for a…

流体动力学 · 物理学 2026-02-18 Zev Hoffman , Sara Vahaji , Arpan Das , Micheal Candon , Daniel Sgarioto , Jayarathne Nirman , Pier Marzocca

Cerebral aneurysms and arteriovenous malformations are life-threatening hemodynamic pathologies of the brain. While surgical intervention is often essential to prevent fatal outcomes, it carries significant risks both during the procedure…

Real-time thermal-hydraulic simulation is essential for digital twin (DT) technology that supports the safe and efficient operation of small modular reactors (SMRs). Computational fluid dynamics (CFD) provides high-fidelity flow analysis,…

机器学习 · 计算机科学 2026-05-29 Minseo Lee , Seongmin Oh , Chaehyeon Song , Bumjin Cho , Shilaj Baral , Sangam Khanal , Minseop Song , Joongoo Jeon

Computational modeling of the brain has become a key part of understanding how the brain clears metabolic waste, but patient-specific modeling on a significant scale is still out of reach with current methods. We introduce a novel approach…

定量方法 · 定量生物学 2025-06-12 Andreas Solheim , Geir Ringstand , Per Kristian Eide , Kent-Andre Mardal

The work analyzes a one-dimensional viscoelastic model of blood vessel growth under nonlinear friction with surroundings, and provides numerical simulations for various growing cases. For the nonlinear differential equations, two sufficient…

偏微分方程分析 · 数学 2010-10-18 Chunjing Xie , Xiaoming Zheng

In NeuroEvolution, the topologies of artificial neural networks are optimized with evolutionary algorithms to solve tasks in data regression, data classification, or reinforcement learning. One downside of NeuroEvolution is the large amount…

神经与进化计算 · 计算机科学 2019-02-12 Jörg Stork , Martin Zaefferer , Thomas Bartz-Beielstein

In this work the development of a machine learning-based Reduced Order Model (ROM) for the investigation of hemodynamics in a patient-specific configuration of Coronary Artery Bypass Graft (CABG) is proposed. The computational domain is…

医学物理 · 物理学 2023-08-08 Pierfrancesco Siena , Michele Girfoglio , Francesco Ballarin , Gianluigi Rozza

In this paper, we propose a deep learning based reduced order modeling method for stochastic underground flow problems in highly heterogeneous media. We aim to utilize supervised learning to build a reduced surrogate model from the…

数值分析 · 数学 2022-07-27 Yiran Wang , Eric Chung , Shubin Fu

In Bayesian inverse problems, surrogate models are often constructed to speed up the computational procedure, as the parameter-to-data map can be very expensive to evaluate. However, due to the curse of dimensionality and the nonlinear…

数值分析 · 数学 2020-03-03 Liang Yan , Tao Zhou