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 …

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 …

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 …

Transient flow prediction in an idealized aneurysm geometry using data assimilation

F Gaidzik, D Stucht, C Roloff, O Speck… - Computers in biology …, 2019 - Elsevier
Hemodynamic simulations are restricted by modeling assumptions and uncertain initial and
boundary conditions, whereas Phase-Contrast Magnetic Resonance Imaging (PC-MRI) data …

Applications of variational data assimilation in computational hemodynamics

M D'Elia, L Mirabella, T Passerini, M Perego… - … of physiological flows, 2012 - Springer
The development of new technologies for acquiring measures and images in order to
investigate cardiovascular diseases raises new challenges in scientific computing. These …

Boundary control in computational haemodynamics

TS Koltukluoğlu, PJ Blanco - Journal of Fluid Mechanics, 2018 - cambridge.org
In this work, a data assimilation method is proposed following an optimise-then-discretise
approach, and is applied in the context of computational haemodynamics. The methodology …

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 …

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 …

Integrating multi-fidelity blood flow data with reduced-order data assimilation

M Habibi, RM D'Souza, STM Dawson… - Computers in Biology and …, 2021 - Elsevier
High-fidelity patient-specific modeling of cardiovascular flows and hemodynamics is
challenging. Direct blood flow measurement inside the body with in-vivo measurement …

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 …