Abstract
The interaction of droplets and bubbles with ultrasound has been studied extensively in the last 25 years. Microbubbles are broadly used in diagnostic and therapeutic medical applications, for instance, as ultrasound contrast agents. They have a similar size as red blood cells, and thus are able to circulate within blood vessels. Perfluorocarbon liquid droplets can be a potential new generation of microbubble agents as ultrasound can trigger their conversion into gas bubbles. Prior to activation, they are at least five times smaller in diameter than the resulting bubbles. Together with the violent nature of the phase-transition, the droplets can be used for local drug delivery, embolotherapy, HIFU enhancement and tumor imaging. Here we explain the basics of bubble dynamics, described by the Rayleigh-Plesset equation, bubble resonance frequency, damping and quality factor. We show the elegant calculation of the above characteristics for the case of small amplitude oscillations by linearizing the equations. The effect and importance of a bubble coating and effective surface tension are also discussed. We give the main characteristics of the power spectrum of bubble oscillations. Preceding bubble dynamics, ultrasound propagation is introduced. We explain the speed of sound, nonlinearity and attenuation terms. We examine bubble ultrasound scattering and how it depends on the wave-shape of the incident wave. Finally, we introduce droplet interaction with ultrasound. We elucidate the ultrasound-focusing concept within a droplets sphere, droplet shaking due to media compressibility and droplet phase-conversion dynamics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Bacon DR (1984) Finite amplitude distortion of the pulsed fields used in diagnostic ultrasound. Ultrasound Med Biol 10:189–195
Biro GP, Blais P, Rosen AL (1987) Peruorocarbon blood substitutes. CRC Critic Rev Oncol Hematol 6:311–374
Bjerknes VFK (1906) Fields of force. Columbia University Press, New York
Blackstock DT (1964) On plane, spherical and cylindrical sound waves of finite amplitude in loss less fluids. J Acoust Soc Am 36:217–219
Carneal CM, Kripfgans OD, Krucker J, Carson PL, Fowlkes JB (2011) A tissue mimicking ultrasound test object using droplet vaporization to create point targets. Pharm Res 58:2013–2025
Church CC (1995) The effects of an elastic solid surface layer on the radial pulsations of gas bubbles. J Acoust Soc Am 97:1510–1521
Cleveland R, Hamilton M, Blackstock DT (1996) Time-domain modeling of finite amplitude sound in relaxing fluids. J Acoust Soc Am 99:3312–3318
de Jong N, Emmer M, Chin CT, Bouakaz A, Mastik F, Lohse D, Versluis M (2007) Compression-only behavior of phospholipid-coated contrast bubbles. Ultrasound Med Biol 33:653–656
Epstein PS, Plesset MS (1950) On the stability of gas bubbles in liquid-gas solutions. J Chem Phys 18:1505–1509
Fabiilli ML, Haworth KJ, Sebastian IE, Kripfgans OD, Carson PL, Fowlkes JB (2010a) Delivery of chlorambucil using an acoustically-triggered perfluoropentane emulsion. Ultrasound Med Biol 36:1364–1375
Fabiilli ML, Lee JA, Kripfgans OD, Carson PL, Fowlkes JB (2010b) Delivery of water-soluble drugs using acoustically triggered perfluorocarbon double emulsions. Ultrasound Med Biol 27:2753–2765
Giesecke T, Hynynen K (2003) Ultrasound-mediated cavitation thresholds of liquid perfluorocarbon droplets in vitro. Ultrasound Med Biol 29:1359–1365
Gramiak R, Shah PM (1968) Echocardiography of the aortic root. Invest Radiol 3:356–366
Hamilton M, Morfey C (2008) Model equations. In: Hamilton MF, Blackstock DT (eds) Nonlinear acoustics. Acoustical Society of America, Melville, pp 41–63
Hamilton M, Tjotta JN, Tjotta S (1985) Nonlinear effects in the farfield of a directive sound source. J Acoust Soc Am 78:202–216
Hart TS, Hamilton MF (1988) Nonlinear effects in focused sound beams. J Acoust Soc Am 84:1488–1496
Kamakura T, Ishiwata T, Matsuda K (2000) Model equation for strongly focused finite amplitude sound beams. J Acoust Soc Am 107:3035–3046
Karshafian R, Bevan PD, Williams R, Samac S, Burns PN (2009) Sonoporation by ultrasound-activated microbubble contrast agents: effect of acoustic exposure parameters on cell membrane permeability and cell viability. Ultrasound Med Biol 35:847–860
Klibanov AL (2006) Microbubble contrast agents: targeted ultrasound imaging and ultrasound-assisted drug-delivery applications. Invest Radiol 41:354–362
Kripfgans OD, Fowlkes JB, Miller DL, Eldevik OP, Carson PL (2000) Acoustic droplet vaporization for therapeutic and diagnostic applications. Ultrasound Med Biol 26:1177–1189
Kuznetsov VP (1971) Equation of nonlinear acoustics. Sov Phys Acoust 16:467–470
Lee YS, Hamilton MF (1995) Time-domain modeling of pulsed finite-amplitude sound beams. J Acoust Soc Am 97:906–917
Lee D, Pierce A (1995) Parabolic equation development in recent decade. J Comput Acoust 3:95–173
Leighton TG (1994) The acoustic bubble. Academic, London
Lindner JR (2004) Microbubbles in medical imaging: current applications and future directions. Nat Rev Drug Discov 35:527–533
Long DM, Multer FK, Greenburg AG, Peskin GW, Lasser EC, Wickham WG, Sharts CM (1978) Tumor imaging with x-rays using macrophage uptake of radiopâque fluorocarbon emulsions. Surgery 84:104–112
Marmottant P, van der Meer SM, Emmer M, Versluis M, de Jong N, Hilgenfeldt S, Lohse D (2005) A model for large amplitude oscillations of coated bubbles accounting for buckling and rupture. J Acoust Soc Am 118:3499–3505
Minnaert M (1933) On musical air-bubbles and sounds of running water. Philos Mag 16:235–248
Neppiras EA, Noltingk BE (1951) Cavitation produced by ultrasonics: theoretical conditions for the onset of cavitation. Proc Phys Soc B 64:1032–1038
Noltingk BE, Neppiras EA (1950) Cavitation produced by ultrasonics. Proc Phys Soc B 63:674–685
Overvelde M (2010) Ultrasound contrast agents: dynamics of coated bubbles. PhD thesis, University of Twente
Overvelde M, Garbin V, Sijl J, Dollet B, de Jong N, Lohse D, Versluis M (2010) Nonlinear shell behavior of phospholipid-coated microbubbles. Ultrasound Med Biol 36:2080–2092
Plesset MS (1949) The dynamics of cavitation bubbles. J Appl Phys 16:277–282
Poritsky H (1952) The collapse or growth of a spherical bubble or cavity in a viscous fluid. Proceedings of the first US National Congress on Applied Mechanics, ASME, New York, pp 813–821
Prosperetti A (2011) Advanced mathematics for applications. Cambridge University Press, Cambridge, UK/New York
Rapoport NY, Gao Z, Kennedy A (2007) Multifunctional nanoparticles for combining ultrasonic tumor imaging and targeted chemotherapy. J Natl Cancer Inst 99:1095–1106
Rapoport NY, Kennedy AM, Shea JE, Scaife CL, Nam KH (2009) Controlled and targeted tumor chemotherapy by ultrasound-activated nanoemulsions/microbubbles. J Control Release 138:268–276
Rayleigh L (1917) On the pressure development in a liquid during the collapse of a spherical cavity. Philos Mag 32:94–98
Reznik N, Shpak O, Gelderblom E, Williams R, de Jong N, Versluis M, Burns P (2013) The efficiency and stability of bubble formation by acoustic vaporization of submicron perfluorocarbon droplets. Ultrasonics 53:1368–1376
Schad KC, Hynynen K (2010) In vitro characterization of perfluorocarbon droplets for focused ultrasound therapy. Phys Med Biol 55:4933–4947
Shpak O, Kokhuis T, Luan Y, Lohse D, de Jong N, Fowlkes B, Fabiilli M, Versluis M (2013a) Ultrafast dynamics of the acoustic vaporization of phase-change microdroplets. J Acoust Soc Am 134:1610–1621
Shpak O, Stricker L, Versluis M, Lohse D (2013b) The role of gas in ultrasonically driven vapor bubble growth. Phys Med Biol 58:2523–2535
Shung KK (2006) Diagnostic ultrasound: imaging and blood flow measurements. CRC Press, Boca Raton
Szabo TL (2004) Diagnostic ultrasound, imaging, inside out. Academic, New York
Szabo TL, Clougherty F, Grossman C (1999) Effects on nonlinearity on the estimation of in situ values of acoustic output parameters. Ultrasound Med Biol 18:33–42
Unger EC, Porter T, Culp W, Labell R, Matsunaga T, Zutshi R (2004) Therapeutic applications of lipid-coated microbubbles. Adv Drug Deliv Rev 59:1291–1314
Unger EC, Hersh E, Vannan M, Matsunaga TO, McCreery T (2009) Local drug and gene delivery through microbubbles. Prog Cardiovasc Dis 41:45–54
Varslot T, Taraldsen G (2005) Computer simulation of forward wave propagation in soft tissue. IEEE Trans Ultrason Ferroelectr Freq Control 52:1473–1482
Westervelt P (1963) Parametric acoustic array. J Acoust Soc Am 52:535–537
Williams R, Wright C, Cherin E, Reznik N, Lee M, Gorelikov I, Foster FS, Matsuura N, Burns PN (2013) Characterization of submicron phase-change perfluorocarbon droplets for extravascular ultrasound imaging of cancer. Phys Med Biol 39:475–489
Zabolotskaya EA, Khokhlov RV (1969) Quasi-plane waves in the nonlinear acoustics of confined beams. Sov Phys Acoust 15:35–40
Zhang P, Porter T (2010) An in vitro study of a phase-shift nanoemulsion: a potential nucleation agent for bubble-enhanced HIFU tumor ablation. Ultrasound Med Biol 36:1856–1866
Zhang M, Fabiilli ML, Haworth KJ, Fowlkes JB, Kripfgans OD, Roberts WW, Ives KA, Carson PL (2010) Initial investigation of acoustic droplet vaporization for occlusion in canine kidney. Ultrasound Med Biol 36:1691–1703
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Shpak, O., Verweij, M., de Jong, N., Versluis, M. (2016). Droplets, Bubbles and Ultrasound Interactions. In: Escoffre, JM., Bouakaz, A. (eds) Therapeutic Ultrasound. Advances in Experimental Medicine and Biology, vol 880. Springer, Cham. https://doi.org/10.1007/978-3-319-22536-4_9
Download citation
DOI: https://doi.org/10.1007/978-3-319-22536-4_9
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-22535-7
Online ISBN: 978-3-319-22536-4
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)