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 data assimilation approach for non-Newtonian blood flow simulations in 3D geometries
T Guerra, C Catarino, T Mestre, S Santos… - Applied Mathematics …, 2018 - Elsevier
Blood flow simulations can play an important role in medical training and diagnostic
predictions associated to several pathologies of the cardiovascular system. The main …
predictions associated to several pathologies of the cardiovascular system. The main …
Variational data assimilation for transient blood flow simulations: Cerebral aneurysms as an illustrative example
Several cardiovascular diseases are caused from localised abnormal blood flow such as in
the case of stenosis or aneurysms. Prevailing theories propose that the development is …
the case of stenosis or aneurysms. Prevailing theories propose that the development is …
Physically consistent data assimilation method based on feedback control for patient‐specific blood flow analysis
This paper presents a novel data assimilation method for patient‐specific blood flow
analysis based on feedback control theory called the physically consistent feedback control …
analysis based on feedback control theory called the physically consistent feedback control …
Optimal control in blood flow simulations
T Guerra, J Tiago, A Sequeira - International Journal of Non-Linear …, 2014 - Elsevier
Blood flow simulations can be improved by integrating known data into the numerical
simulations. Data Assimilation techniques based on a variational approach play an …
simulations. Data Assimilation techniques based on a variational approach play an …
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 …
Patient-specific blood flow simulations: setting Dirichlet boundary conditions for minimal error with respect to measured data
We present a fully automatic approach to recover boundary conditions and locations of the
vessel wall, given a crude initial guess and some velocity cross-sections, which can be …
vessel wall, given a crude initial guess and some velocity cross-sections, which can be …
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 …
Data assimilation for identification of cardiovascular network characteristics
A method to estimate the hemodynamics parameters of a network of vessels using an
Ensemble Kalman filter is presented. The elastic moduli (Young's modulus) of blood vessels …
Ensemble Kalman filter is presented. The elastic moduli (Young's modulus) of blood vessels …
Methods for assimilating blood velocity measures in hemodynamics simulations: preliminary results
M D'Elia, A Veneziani - Procedia Computer Science, 2010 - Elsevier
New measurement devices and techniques in biomedical images provide medical doctors
with a huge amount of data on blood flow and vascular morphologies. These data are …
with a huge amount of data on blood flow and vascular morphologies. These data are …