Reconstructing haemodynamics quantities of interest from Doppler ultrasound imaging

Felipe Galarce; Damiano Lombardi; Olga Mula

doi:10.1002/cnm.3416

Reconstructing haemodynamics quantities of interest from Doppler ultrasound imaging

Int J Numer Method Biomed Eng. 2021 Feb;37(2):e3416. doi: 10.1002/cnm.3416. Epub 2020 Dec 29.

Authors

Felipe Galarce¹, Damiano Lombardi¹, Olga Mula^{1

2}

Affiliations

¹ Centre de Recherche INRIA de Paris, Laboratoire Jacques-Louis Lions Faculté des Sciences de Sorbonne Université, INRIA, Paris, France.
² CEREMADE, Paris-Dauphine University, PSL Research University, CNRS, Paris, France.

PMID: 33219632
DOI: 10.1002/cnm.3416

Abstract

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 Parameterized Background Data-Weak (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 fully synthetic test-case on a realistic common carotid geometry is presented, showing that the proposed approach is promising in view of realistic applications.

Keywords: Doppler measurements; flow reconstruction; haemodynamics; model reduction; quantities of interest.

Publication types

Research Support, Non-U.S. Gov't

MeSH terms

Angiography*
Blood Flow Velocity
Hemodynamics*
Ultrasonography
Ultrasonography, Doppler