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 …
A reduced computational and geometrical framework for inverse problems in hemodynamics
The solution of inverse problems in cardiovascular mathematics is computationally
expensive. In this paper, we apply a domain parametrization technique to reduce both the …
expensive. In this paper, we apply a domain parametrization technique to reduce both the …
[引用][C] Inverse problems in cardiovascular mathematics: toward patient‐specific data assimilation and optimization
A Veneziani, C Vergara - International journal for numerical …, 2013 - Wiley Online Library
In the last 25 years, mathematical and numerical modeling of cardiovascular problems has
experienced a spectacular progress. Moving progressively from the stage of idealized …
experienced a spectacular progress. Moving progressively from the stage of idealized …
Patient-specific inverse modeling of in vivo cardiovascular mechanics with medical image-derived kinematics as input data: concepts, methods, and applications
JH Bracamonte, SK Saunders, JS Wilson, UT Truong… - Applied Sciences, 2022 - mdpi.com
Inverse modeling approaches in cardiovascular medicine are a collection of methodologies
that can provide non-invasive patient-specific estimations of tissue properties, mechanical …
that can provide non-invasive patient-specific estimations of tissue properties, mechanical …
A velocity tracking approach for the data assimilation problem in blood flow simulations
J Tiago, T Guerra, A Sequeira - International journal for …, 2017 - Wiley Online Library
Several advances have been made in data assimilation techniques applied to blood flow
modeling. Typically, idealized boundary conditions, only verified in straight parts of the …
modeling. Typically, idealized boundary conditions, only verified in straight parts of the …
A model reduction approach for the variational estimation of vascular compliance by solving an inverse fluid–structure interaction problem
L Bertagna, A Veneziani - Inverse Problems, 2014 - iopscience.iop.org
Scientific computing has progressively become an important tool for research in
cardiovascular diseases. The role of quantitative analyses based on numerical simulations …
cardiovascular diseases. The role of quantitative analyses based on numerical simulations …
Applications of variational data assimilation in computational hemodynamics
The development of new technologies for acquiring measures and images in order to
investigate cardiovascular diseases raises new challenges in scientific computing. These …
investigate cardiovascular diseases raises new challenges in scientific computing. These …
Data assimilation in cardiovascular fluid–structure interaction problems: an introduction
Numerical methods for incompressible fluid dynamics have recently received a strong
impulse from the applications to the cardiovascular system. In particular, fluid–structure …
impulse from the applications to the cardiovascular system. In particular, fluid–structure …
[图书][B] Computational Hemodynamics–Theory, Modelling and Applications
This book discusses geometric and mathematical models that can be used to study fluid and
structural mechanics in the cardiovascular system. Where traditional research …
structural mechanics in the cardiovascular system. Where traditional research …
Model reduction techniques for fast blood flow simulation in parametrized geometries
A Manzoni, A Quarteroni… - International journal for …, 2012 - Wiley Online Library
In this paper, we propose a new model reduction technique aimed at real‐time blood flow
simulations on a given family of geometrical shapes of arterial vessels. Our approach is …
simulations on a given family of geometrical shapes of arterial vessels. Our approach is …