Model for bubble pulsation in liquid between parallel viscoelastic layers

Journal of the Acoustical Society of America

Volumn 132, Issue 1, 2012, Pages 124-137

  Hay, Todd A ^a   Ilinskii, Yurii A ^a   Zabolotskaya, Evgenia A ^a   Hamilton, Mark F ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE PULSATION; COMPRESSIBLE LIQUID; FINITE THICKNESS; GEOMETRIC PARAMETER; HARMONIC MOTION; PARTICLE DISPLACEMENT; RADIATION LOAD; SPHERICAL BUBBLES; STRAIN MAGNITUDE; VISCOELASTIC LAYERS;

ACOUSTICS; PHYSICS;

NONLINEAR EQUATIONS;

EID: 84863684411     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.4707489     Document Type: Article

References (50)

1. A. Klibanov, Ultrasound contrast agents: Development of the field and current status., in Contrast Agents II, edited by, W. Krause, (Springer, Berlin, 2002), Vol. 222 of Topics in Current Chemistry, pp. 73-106.
2. D. Hope Simpson, C. T. Chin, and P. N. Burns, Pulse inversion Doppler: A new method for detecting nonlinear echoes from microbubble contrast agents., IEEE Trans. Ultrason. Ferroelectr. Freq. Control 46, 372-382 (1999). 10.1109/58.753026
3. J. R. Lindner, Microbubbles in medical imaging: Current applications and future directions., Nat. Rev. Drug Discovery 3, 527-533 (2004). 10.1038/nrd1417
4. A. L. Klibanov, Microbubble contrast agents: Targeted ultrasound imaging and ultrasound-assisted drug-delivery applications., Invest. Radiol. 41, 354-362 (2006). 10.1097/01.rli.0000199292.88189.0f
5. M. S. Plesset and R. B. Chapman, Collapse of an initially spherical vapour cavity in the neighbourhood of a solid boundary., J. Fluid Mech. 47, 283-290 (1971). 10.1017/S0022112071001058
6. H. N. Ogũz and A. Prosperetti, Bubble oscillations in the vicinity of a nearly plane free-surface., J. Acoust. Soc. Am. 87, 2085-2093 (1990). 10.1121/1.399560
7. H. N. Ogũz and A. Prosperetti, The natural frequency of oscillation of gas bubbles in tubes., J. Acoust. Soc. Am. 103, 3301-3308 (1998). 10.1121/1.423043
8. P. A. Dayton, J. E. Chomas, A. F. Lum, J. S. Allen, J. R. Linder, S. I. Simon, and K. W. Ferrara, Optical and acoustical dynamics of microbubble contrast agents inside neutrophils., Biophys. J. 80, 1547-1556 (2001). 10.1016/S0006-3495(01)76127-9
9. E. Sassaroli and K. Hynynen, Forced linear oscillations of microbubbles in blood capillaries., J. Acoust. Soc. Am. 115, 3235-3243 (2004). 10.1121/1.1738456
10. Y. T. Hu, S. P. Qin, T. Hu, K. W. Ferrara, and Q. Jiang, Asymmetric oscillation of cavitation bubbles in a microvessel and its implications upon mechanisms of clinical vessel injury in shock-wave lithotripsy., Int. J. Non-Linear Mech. 40, 341-350 (2005). 10.1016/j.ijnonlinmec.2004.06.007
11. J. Cui, M. F. Hamilton, P. S. Wilson, and E. A. Zabolotskaya, Bubble pulsations between parallel plates., J. Acoust. Soc. Am. 119, 2067-2072 (2006). 10.1121/1.2172545
12. T. Ye and J. L. Bull, Microbubble expansion in a flexible tube., J. Biomech. Eng. 128, 554-563 (2006). 10.1115/1.2206200
13. S. Qin and K. W. Ferrara, Acoustic response of compliable microvessels containing ultrasound contrast agents., Phys. Med. Biol. 51, 5065-5088 (2006). 10.1088/0031-9155/51/20/001
14. S. Qin and K. W. Ferrara, The natural frequency of nonlinear oscillation of ultrasound contrast agents in microvessels., Ultrasound Med. Biol. 33, 1140-1148 (2007). 10.1016/j.ultrasmedbio.2006.12.009
15. H. Miao, S. M. Gracewski, and D. Dalecki, Ultrasonic excitation of a bubble inside a deformable tube: Implications for ultrasonically induced hemorrhage., J. Acoust. Soc. Am. 124, 2374-2384 (2008). 10.1121/1.2967488
16. J. B. Freund, Suppression of shocked bubble expansion due to tissue confinement with application to shock wave lithotripsy., J. Acoust. Soc. Am. 123, 2867-2874 (2008). 10.1121/1.2902171
17. J. B. Freund, R. K. Shukla, and A. P. Evan, Shock-induced bubble jetting into a viscous fluid with application to tissue injury in shock-wave lithotripsy., J. Acoust. Soc. Am. 126, 2746-2756 (2009). 10.1121/1.3224830
18. S. Qin, C. F. Caskey, and K. W. Ferrara, Ultrasound contrast microbubbles in imaging and therapy: Physical principles and engineering., Phys. Med. Biol. 54, R27 (2009). 10.1088/0031-9155/54/6/R01
19. N. W. Jang, S. M. Gracewski, B. Abrahamsen, T. Buttaccio, R. Halm, and D. Dalecki, Natural frequency of a gas bubble in a tube: Experimental and simulation results., J. Acoust. Soc. Am. 126, EL34-EL40 (2009). 10.1121/1.3152266
20. S. Martynov, E. Stride, and N. Saffari, The natural frequencies of microbubble oscillation in elastic vessels., J. Acoust. Soc. Am. 126, 2963-2972 (2009). 10.1121/1.3243292
21. T. A. Hay, M. F. Hamilton, Yu. A. Ilinskii, and Z. A. Zabolotskaya, Model of coupled pulsation and translation of a gas bubble and rigid particle., J. Acoust. Soc. Am. 125, 1331-1339 (2009). 10.1121/1.3077216
22. C.-T. Hsiao, X. Lu, and G. Chahine, Three-dimensional modeling of the dynamics of therapeutic ultrasound contrast agents., Ultrasound Med. Biol. 36, 2065-2079 (2010). 10.1016/j.ultrasmedbio.2010.08.022
23. H. Chen, W. Kreider, A. A. Brayman, M. R. Bailey, and T. J. Matula, Blood vessel deformations on microsecond time scales by ultrasonic cavitation., Phys. Rev. Lett. 106, 034301 (2011). 10.1103/PhysRevLett.106.034301
24. A. A. Doinikov, L. Aired, and A. Bouakaz, Acoustic response from a bubble pulsating near a fluid layer of finite density and thickness., J. Acoust. Soc. Am. 129, 616-621 (2011). 10.1121/1.3531839
25. A. A. Doinikov, L. Aired, and A. Bouakaz, Acoustic scattering from a contrast agent microbubble near an elastic wall of finite thickness., Phys. Med. Biol. 56, 6951-6967 (2011). 10.1088/0031-9155/56/21/012
26. W. Lauterborn and H. Bolle, Experimental investigations of cavitation-bubble collapse in neighbourhood of a solid boundary., J. Fluid Mech. 72, 391-399 (1975). 10.1017/S0022112075003448
27. Y. Tomita and A. Shima, Mechanisms of impulsive pressure generation and damage pit formation by bubble collapse., J. Fluid Mech. 169, 535-564 (1986). 10.1017/S0022112086000745
28. J. R. Blake and D. C. Gibson, Cavitation bubbles near boundaries., Annu. Rev. Fluid Mech. 19, 99-123 (1987). 10.1146/annurev.fl.19.010187.000531
29. E. A. Brujan, K. Nahen, P. Schmidt, and A. Vogel, Dynamics of laser-induced cavitation bubbles near an elastic boundary., J. Fluid Mech. 433, 251-281 (2001).
30. H. J. Vos, B. Dollet, J. G. Bosch, M. Versluis, and N. de Jong, Nonspherical vibrations of microbubbles in contact with a wall-a pilot study at low mechanical index., Ultrasound Med. Biol. 34, 685-688 (2008). 10.1016/j.ultrasmedbio.2007.10.001
31. M. Overvelde, V. Garbin, B. Dollet, D. Cojoc, E. Ferrari, N. de Jong, E. D. Fabrizio, D. Lohse, and M. Versluis, 3D optical micromanipulation of ultrasound contrast agents: Bubble-wall and bubble-bubble interactions., in Proceedings of the 19th International Congresses on Acoustics (2007), paper NLA-02-005-IP.
32. T. G. Leighton, The inertial terms in equations of motion for bubbles in tubular vessels or between plates., J. Acoust. Soc. Am. 130, 3333-3338 (2011). 10.1121/1.3638132
33. U. Ingard, On the reflection of a spherical sound wave from an infinite plane., J. Acoust. Soc. Am. 23, 329-335 (1951). 10.1121/1.1906767
34. G. Taraldsen, A note on reflection of spherical waves., J. Acoust. Soc. Am. 117, 3389-3392 (2004). 10.1121/1.1904303
35. F. Gao, Y. Hu, and H. Hu, Asymmetrical oscillation of a bubble confined inside a micro pseudoelastic blood vessel and the corresponding vessel wall stresses., Int. J. Solids Struct. 44, 7197-7212 (2007). 10.1016/j.ijsolstr.2007. 04.005
36. E. A. Zabolotskaya, Yu. A. Ilinskii, T. A. Hay, and M. F. Hamilton, Green's functions for a volume source in an elastic half-space., J. Acoust. Soc. Am. 131, 1831-1842 (2012). 10.1121/1.3672652
37. E. A. Zabolotskaya, Y u. A. Ilinskii, T. A. Hay, and M. F. Hamilton, Green's function for a volume source in a viscoelastic cylindrical tube., J. Acoust. Soc. Am. 128, 2441 (2010). 10.1121/1.3508726
38. S. Yang and F. G. Yuan, Transient wave propagation of isotropic plates using a higher-order plate theory., Int. J. Solids Struct. 42, 4115-4153 (2005). 10.1016/j.ijsolstr.2004.12.014
39. L. D. Landau and E. M. Lifshitz, Theory of Elasticity, 3rd ed. (Butterworth-Heinemann, Oxford, 1986), Chap., pp. 94-99.
40. T. G. Leighton, The Acoustic Bubble (Academic, San Diego, 1994), pp. 305-306.
41. M. P. Brenner, S. Hilgenfeldt, and D. Lohse, Single-bubble sonoluminescence., Rev. Mod. Phys. 74, 425-484 (2002). 10.1103/RevModPhys.74.425
42. E. A. Zabolotskaya, Yu. A. Ilinskii, G. D. Meegan, and M. F. Hamilton, Modifications of the equation for gas bubble dynamics in a soft elastic medium., J. Acoust. Soc. Am. 118, 2173-2181 (2005). 10.1121/1.2010348
43. P. Marmottant, S. van der Meer, M. Emmer, M. Versluis, N. de Jong, S. Hilgenfeldt, and D. Lohse, A model for large amplitude oscillations of coated bubbles accounting for buckling and rupture., J. Acoust. Soc. Am. 118, 3499-3505 (2005). 10.1121/1.2109427
44. A. A. Doinikov, J. F. Haac, and P. A. Dayton, Modeling of nonlinear viscous stress in encapsulating shells of lipid-coated contrast agent microbubbles., Ultrasonics 49, 269-275 (2009). 10.1016/j.ultras.2008.09.007
45. T. A. Litovitz and C. M. Davis, in Physical Acoustics, edited by, W. P. Mason, (Academic Press, New York, 1964), Vol. 2, pp. 282-285.
46. S. A. Goss, R. L. Johnston, and F. Dunn, Comprehensive compilation of empirical ultrasonic properties of mammalian tissues., J. Acoust. Soc. Am. 64, 423-457 (1978). 10.1121/1.382016
47. J. Heikkilä, T. Karjalainen, M. Vauhkonen, and K. Hynynen, Simulations of localized harmonic motions on a blood vessel wall induced by an acoustic radiation force used in ultrasound elastography., Phys. Med. Biol. 51, 4587-4601 (2006). 10.1088/0031-9155/51/18/009
48. A. A. Doinikov, S. Zhao, and P. A. Dayton, Modeling of the acoustic response from contrast agent microbubbles near a rigid wall., Ultrasonics 49, 195-201 (2009). 10.1016/j.ultras.2008.07.017
49. S. D. Cohen and A. C. Hindmarsh, CVODE, a stiffnonstiff ODE solver in C., Comput. Phys. 10, 138-143 (1996).
50. W. Lauterborn, Numerical investigation of nonlinear oscillations of gas bubbles., J. Acoust. Soc. Am. 59, 283-293 (1976). 10.1121/1.380884