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Ultrasound propagation through dilute polydisperse microbubble suspensions

Ovenden, NC; O'Brien, JP; Stride, E; (2017) Ultrasound propagation through dilute polydisperse microbubble suspensions. Journal of the Acoustical Society of America , 142 (3) , Article 1236. 10.1121/1.4998574. Green open access

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Abstract

In a fully nonlinear model of wave propagation through bubbly media, computational complexity arises when the medium contains a polydisperse bubble population. This is because a nonlinear ordinary differential equation governing the bubble response must be solved for the current radius of each bubble size present at every spatial location and at every time step. In biomedical ultrasound imaging, commercial contrast agents typically possess a wide range of bubble sizes that exhibit a variety of differing behaviours at ultrasound frequencies of clinical interest. Despite the advent of supercomputing resources, the simulation of ultrasound propagation through microbubble populations still represents a formidable numerical task. Consequently, efficient computational algorithms that have the potential to be implemented in real time on clinical scanners remain highly desirable. In this work, a numerical approach is investigated that computes only a single ordinary differential equation at each spatial location which can potentially reduce significantly the computational effort. It is demonstrated that, under certain parameter regimes, the approach replicates the fully nonlinear model of an incident ultrasound pulse propagating through a polydisperse population of bubbles with a high degree of accuracy.

Type: Article
Title: Ultrasound propagation through dilute polydisperse microbubble suspensions
Open access status: An open access version is available from UCL Discovery
DOI: 10.1121/1.4998574
Publisher version: https://doi.org/10.1121/1.4998574
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: bubble dynamics; nonlinear wave propagation; contrast agents; layered media
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics
URI: https://discovery.ucl.ac.uk/id/eprint/1566920
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