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 …
Inverse problems: A deterministic approach using physics-based reduced models
O Mula - Model Order Reduction and Applications: Cetraro, Italy …, 2023 - Springer
These lecture notes summarize various summer schools that I have given on the topic of
solving inverse problems (state and parameter estimation) by combining optimally …
solving inverse problems (state and parameter estimation) by combining optimally …
State estimation with model reduction and shape variability. Application to biomedical problems
We develop a mathematical and numerical framework to solve state estimation problems for
applications that present variations in the shape of the spatial domain. This situation arises …
applications that present variations in the shape of the spatial domain. This situation arises …
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 …
On the numerical treatment of viscous and convective effects in relative pressure reconstruction methods
DRQ Pacheco - International Journal for Numerical Methods in …, 2022 - Wiley Online Library
The mechanism of many cardiovascular diseases can be understood by studying the
pressure distribution in blood vessels. Direct pressure measurements, however, require …
pressure distribution in blood vessels. Direct pressure measurements, however, require …
Displacement and pressure reconstruction from magnetic resonance elastography images: Application to an in silico brain model
Magnetic resonance elastography is a motion-sensitive image modality that allows to
measure in vivo tissue displacement fields in response to mechanical excitations. This paper …
measure in vivo tissue displacement fields in response to mechanical excitations. This paper …
Dynamical approximation and sensor placement for filtering problems
O Mula, C Pagliantini, F Vismara - arXiv preprint arXiv:2312.12353, 2023 - arxiv.org
We consider the inverse problem of reconstructing an unknown function $ u $ from a finite
set of measurements, under the assumption that $ u $ is the trajectory of a transport …
set of measurements, under the assumption that $ u $ is the trajectory of a transport …
Enhancing Hemodynamic Parameter Estimations: Nonlinear Blood Behavior in 4D Flow MRI
Hemodynamic parameters have been estimated assuming a Newtonian constant viscosity,
even when blood exhibits shear-thinning behavior. This article investigates the influence of …
even when blood exhibits shear-thinning behavior. This article investigates the influence of …
A component-based data assimilation strategy with applications to vascular flows
We present a parameterized-background data-weak (PBDW) approach [Y Maday, AT
Patera, JD Penn, M Yano, Int J Numer Meth Eng, 102 (5), 933–965] to the steady-state …
Patera, JD Penn, M Yano, Int J Numer Meth Eng, 102 (5), 933–965] to the steady-state …
Reduced order modelling for direct and inverse problems in haemodynamics
D Lombardi - Reduced Order Models for the Biomechanics of Living …, 2023 - Elsevier
In this chapter we propose a review of reduced order models (ROMs) to speed-up direct and
inverse problems in the context of haemodynamics. In particular, we highlight three different …
inverse problems in the context of haemodynamics. In particular, we highlight three different …