Acoustic Modeling of Shell-Encapsulated Gas Bubbles

Frinking, Peter; Jong, Nico de

doi:10.1016/s0301-5629(98)00009-x

Cited by 159 publications

(107 citation statements)

References 17 publications

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“…18 that the kinetic energy of a slightly compressible liquid that encloses a spherical bubble with the time-varying radius R 2 (t), assuming also that the bubble can translate, is given by (3) where ρ L is the equilibrium density of the liquid, c is the sound speed in the liquid, and . Note that if we substitute the explicit expression for ḟ(t) into Eq.…”

Section: B Kinetic Energymentioning

confidence: 99%

“…The modified equation was used to model the radial oscillation of Albunex contrast agent. Subsequently, Frinking and de Jong 3 proposed another version of this equation that was intended to model the radial dynamics of thick-shelled contrast agents such as Quantison and Myomap. It should be emphasized that both of the above-mentioned models are based on qualitative arguments rather than rigorous theoretical derivations.…”

Section: Introductionmentioning

confidence: 99%

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Spatio-temporal dynamics of an encapsulated gas bubble in an ultrasound field

Doinikov

Dayton

2006

The Journal of the Acoustical Society of America

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Coupled equations describing the radial and translational dynamics of an encapsulated gas bubble in an ultrasound field are derived by using the Lagrangian formalism. The equations generalize Church's theory by allowing for the translation motion of the bubble and radiation losses due to the compressibility of the surrounding liquid. The expression given by Church for the inner bubble radius corresponding to the unstrained state of the bubble shell is also refined, assuming that the shell can be of arbitrary thickness and impermeable to gas. Comparative linear analysis of the radial equation is carried out relative to Church's theory. It is shown that there are substantial departures from predictions of Church's theory. The proposed model is applied to evaluate radiation forces exerted on encapsulated bubbles and their translational displacements. It is shown that in the range of relatively high frequencies encapsulated bubbles are able to translate more efficiently than free bubbles of the equivalent size.

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Section: B Kinetic Energymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spatio-temporal dynamics of an encapsulated gas bubble in an ultrasound field

Doinikov

Dayton

2006

The Journal of the Acoustical Society of America

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“…Also at The Children's Hospital, 13123 East 16th Ave., Cardiology B-100, Aurora, CO 80045. Electronic mail: robin.shandas@uchsc.edu sound contrast agents in conventional ultrasound imaging ͑Frinking and de Jong, 1998;Coussios et al, 2004͒. However, RPL models only consider the radial pulsation of bubbles and usually assume a uniform internal gas pressure, i.e., no inertial effect of the gas core.…”

Section: Introductionmentioning

confidence: 99%

Wave scattering from encapsulated microbubbles subject to high-frequency ultrasound: Contribution of higher-order scattering modes

Chen

Hunter

Shandas

2009

The Journal of the Acoustical Society of America

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The theoretical understanding of encapsulated microbubble response to high-frequency ultrasound ͑HFUS͒ excitation is still limited although some novel experimental HFUS contrast imaging techniques have been well developed. In this paper, the higher-order modal ͑HOM͒ contributions to the scattered field are studied for such microbubbles driven by 1-100 MHz ultrasound. An exact solution of all small-amplitude vibrational modes of a single encapsulated microbubble in water is given by the wave scattering theory ͑WST͒ method and compared to results obtained from Church's Rayleigh-Plesset-like model for the small-amplitude radial oscillation of a microbubble in an incompressible fluid. From numerical results, we show that the HOM field contribution is significant for scattering properties from individual Nycomed microbubbles with normalized frequency Ն0.2. It is also shown that the multiple scattering is strengthened for monodispersed Definity ® microbubbles of 3 m radius at frequencies Ͼ40 MHz. However, comparisons between the authors' analyses and known experimental data for polydispersed Definity ® microbubbles indicate that the HOM contributions are insignificant in attenuation estimation at frequencies Ͻ50 MHz. In conclusion, the WST model analysis suggests that HOM scattering is an important consideration for single bubbles but may be less critical in the modeling of polydispersed Definity ® bubbles at high frequencies.

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“…Hence it is important to measure the scattering to attenuation ratio 87,89 (STAR) of the microbubble suspension, the suspension being a native commercial agent, freshly produced bubbles in a flow-focusing device or sorted bubbles extracted from a polydisperse bubble collection. Such a STAR measurement is displayed in Fig.…”

Section: Acoustical Characterizationmentioning

confidence: 99%

“…The ideal contrast agent scatters ultrasound efficiently while it absorbs little energy. Thus, the efficiency is characterized by its scattering to attenuation ratio (STAR) 89,132,[138][139][140][141] .…”

Section: Introductionmentioning

confidence: 99%

Monodisperse bubbles and droplets for medical applications

Segers¹

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Acoustic Modeling of Shell-Encapsulated Gas Bubbles

Cited by 159 publications

References 17 publications

Spatio-temporal dynamics of an encapsulated gas bubble in an ultrasound field

Spatio-temporal dynamics of an encapsulated gas bubble in an ultrasound field

Wave scattering from encapsulated microbubbles subject to high-frequency ultrasound: Contribution of higher-order scattering modes

Monodisperse bubbles and droplets for medical applications

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