Inverse problems in blood flow modeling: A review
D Nolte, C Bertoglio - International journal for numerical …, 2022 - Wiley Online Library
Mathematical and computational modeling of the cardiovascular system is increasingly
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …
providing non‐invasive alternatives to traditional invasive clinical procedures. Moreover, it …
Physics-informed neural networks for parameter estimation in blood flow models
Background: Physics-informed neural networks (PINNs) have emerged as a powerful tool for
solving inverse problems, especially in cases where no complete information about the …
solving inverse problems, especially in cases where no complete information about the …
Bias and multiscale correction methods for variational state estimation algorithms
The integration of experimental data into mathematical and computational models is crucial
for enhancing their predictive power in real-world scenarios. However, the performance of …
for enhancing their predictive power in real-world scenarios. However, the performance of …
Identification of reaction rate parameters from uncertain spatially distributed concentration data using gradient-based PDE constrained optimization
S Ito, J Jeßberger, S Simonis, F Bukreev… - … & Mathematics with …, 2024 - Elsevier
A promising approach to quantify reaction rate parameters is to formulate and solve inverse
problems by minimizing the deviation between simulation and measurement. One major …
problems by minimizing the deviation between simulation and measurement. One major …
Reconstruction of blood flow velocity with deep learning information fusion from spectral ct projections and vessel geometry
S Huang, M Sigovan, B Sixou - Computer Methods in …, 2024 - Taylor & Francis
In this work, we investigate a new deep learning reconstruction method of blood flow velocity
within deformed vessels from contrast enhanced X-ray projections and vessel geometry. The …
within deformed vessels from contrast enhanced X-ray projections and vessel geometry. The …
Mathematical modeling of blood flow in the cardiovascular system
This chapter gives a short overview of the mathematical modeling of blood flow circulation at
different resolutions, from the large vessel scale (three-dimensional, one-dimensional, and …
different resolutions, from the large vessel scale (three-dimensional, one-dimensional, and …
Mathematical Modeling of Blood Flow in the Cardiovascular System
IE Vignon-Clementel - Quantification of Biophysical Parameters …, 2024 - books.google.com
In this chapter we provide an overview of the mathematical modeling of blood flow in living
tissues and of some applications in connection with medical imaging. In particular, the first …
tissues and of some applications in connection with medical imaging. In particular, the first …
Forward and inverse problems in cardiac mechanics
RA Barrera - 2025 - research.rug.nl
This thesis explores how to better understand and simulate the contraction of a human heart
using advanced computer models. By focusing on how the heart muscle interacts with blood …
using advanced computer models. By focusing on how the heart muscle interacts with blood …
Integração de imagens por ressonância magnética na dinâmica dos fluidos computacional: aplicações em petrofísica e neurociência
G Solcia - 2024 - teses.usp.br
A dinâmica de fluídos computacional (DFC) é amplamente utilizada para estudar o fluxo de
fluidos em sistemas complexos. Já a imagem por ressonância magnética (IRM) é uma …
fluidos em sistemas complexos. Já a imagem por ressonância magnética (IRM) é uma …
Spatially and Temporally High-Order Variational Multiscale Finite Element Methods for Incompressible Generalized Newtonian Flows
Non-Newtonian fluids are of interest in industrial sectors, biological problems and many
natural phenomena. This work assesses the accuracy of high-order discretizations for time …
natural phenomena. This work assesses the accuracy of high-order discretizations for time …