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Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

Galarce, Felipe; Lombardi, Damiano; Mula, Olga (2021), Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging, International Journal for Numerical Methods in Biomedical Engineering, 37, 2. 10.1002/cnm.3416

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Article accepté pour publication ou publié
External document link
https://hal.archives-ouvertes.fr/hal-03037328
Date
2021
Journal name
International Journal for Numerical Methods in Biomedical Engineering
Volume
37
Number
2
Publisher
Wiley
Publication identifier
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Author(s)
Galarce, Felipe
COmputational Mathematics for bio-MEDIcal Applications [COMMEDIA]
Lombardi, Damiano
COmputational Mathematics for bio-MEDIcal Applications [COMMEDIA]
Laboratoire Jacques-Louis Lions [LJLL (UMR_7598)]
Mula, Olga cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
The present contribution deals with the estimation of haemodynamics Quantities of Interest by exploiting Ultrasound Doppler measurements. A fast method is proposed, based on the PBDW method. Several methodological contributions are described: a sub-manifold partitioning is introduced to improve the reduced-order approximation, two different ways to estimate the pressure drop are compared, and an error estimation is derived. A test-case on a realistic common carotid geometry is presented, showing that the proposed approach is promising in view of realistic applications.
Subjects / Keywords
Quantities of interest,; Flow Reconstruction; Doppler Measurements; Haemodynamics; Model reduction