Reconstructing Haemodynamics Quantities of Interest from Doppler Ultrasound Imaging

TL;DR

This paper presents a fast, reduced-order method using PBDW for estimating haemodynamics quantities from Doppler ultrasound, improving accuracy and providing error estimates, with promising results on carotid artery data.

Contribution

Introduces a novel PBDW-based approach with sub-manifold partitioning and pressure drop estimation methods for haemodynamics analysis from ultrasound data.

Findings

Effective haemodynamics estimation on carotid geometry

Improved reduced-order approximation accuracy

Potential for realistic clinical applications

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 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.