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 …

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 …

Variational data assimilation for transient blood flow simulations: Cerebral aneurysms as an illustrative example

SW Funke, M Nordaas, Ø Evju… - … journal for numerical …, 2019 - Wiley Online Library
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 …

Physically consistent data assimilation method based on feedback control for patient‐specific blood flow analysis

S Ii, MAHM Adib, Y Watanabe… - International journal for …, 2018 - Wiley Online Library
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 …

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 …

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 …

Patient-specific blood flow simulations: setting Dirichlet boundary conditions for minimal error with respect to measured data

J Tiago, A Gambaruto, A Sequeira - Mathematical modelling of …, 2014 - mmnp-journal.org
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 …

Data assimilation in cardiovascular fluid–structure interaction problems: an introduction

L Bertagna, M D'Elia, M Perego… - Fluid-structure interaction …, 2014 - Springer
Numerical methods for incompressible fluid dynamics have recently received a strong
impulse from the applications to the cardiovascular system. In particular, fluid–structure …

Data assimilation for identification of cardiovascular network characteristics

R Lal, B Mohammadi, F Nicoud - International journal for …, 2017 - Wiley Online Library
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 …

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 …