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Erschienen in:
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2018 | OriginalPaper | Buchkapitel

Boundary Control Problems in Hemodynamics

verfasst von : Adélia Sequeira, Jorge Tiago, Telma Guerra

Erschienen in: Trends in Biomathematics: Modeling, Optimization and Computational Problems

Verlag: Springer International Publishing

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Abstract

Blood flow simulations can be improved by integrating known data into the numerical modeling approach. Data Assimilation techniques based on a variational formulation play an important role in this issue. We propose a non-linear optimal control problem to reconstruct the blood flow profile from partial observations of known data in different geometries. Blood flow is assumed to behave as a homogeneous fluid with non-Newtonian inelastic shear-thinning behavior or, to simplify, blood flow is governed by the Navier-Stokes equations. Using a Discretize then Optimize (DO) approach, we solve a non-linear optimal control problem and present numerical results that indicate its robustness with respect to different idealized geometries and measured data. Blood flow in real vessels will also be considered, including the discussion of particular clinical cases.

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Vorheriges Kapitel Dark States in Quantum Photosynthesis
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Metadaten
Titel
Boundary Control Problems in Hemodynamics
verfasst von
Adélia Sequeira
Jorge Tiago
Telma Guerra
Copyright-Jahr
2018
Buch
Trends in Biomathematics: Modeling, Optimization and Computational Problems

Print ISBN: 978-3-319-91091-8

Electronic ISBN: 978-3-319-91092-5

Copyright-Jahr: 2018

DOI
https://doi.org/10.1007/978-3-319-91092-5_3