Ultrasound propagation through dilute polydisperse microbubble suspensions

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 bubbl...

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Main Authors: Ovenden, N, O'Brien, J, Stride, E
Format: Journal article
Language:English
Published: Acoustical Society of America 2017
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author Ovenden, N
O'Brien, J
Stride, E
author_facet Ovenden, N
O'Brien, J
Stride, E
author_sort Ovenden, N
collection OXFORD
description 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.
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spelling oxford-uuid:bfa752cd-87ee-433f-82c6-82e6a36529372022-03-27T05:49:00ZUltrasound propagation through dilute polydisperse microbubble suspensionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bfa752cd-87ee-433f-82c6-82e6a3652937EnglishSymplectic Elements at OxfordAcoustical Society of America2017Ovenden, NO'Brien, JStride, EIn 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.
spellingShingle Ovenden, N
O'Brien, J
Stride, E
Ultrasound propagation through dilute polydisperse microbubble suspensions
title Ultrasound propagation through dilute polydisperse microbubble suspensions
title_full Ultrasound propagation through dilute polydisperse microbubble suspensions
title_fullStr Ultrasound propagation through dilute polydisperse microbubble suspensions
title_full_unstemmed Ultrasound propagation through dilute polydisperse microbubble suspensions
title_short Ultrasound propagation through dilute polydisperse microbubble suspensions
title_sort ultrasound propagation through dilute polydisperse microbubble suspensions
work_keys_str_mv AT ovendenn ultrasoundpropagationthroughdilutepolydispersemicrobubblesuspensions
AT obrienj ultrasoundpropagationthroughdilutepolydispersemicrobubblesuspensions
AT stridee ultrasoundpropagationthroughdilutepolydispersemicrobubblesuspensions