Lithotripsy: The treatment of kidney stones with shock waves

SIAM Review

Volumn 40, Issue 2, 1998, Pages 356-371

  Howle, Laurens ^a   Schaeffer, David G ^b   Shearer, Michael ^c   Zhong, Pei ^a  

^a USA   (United States)

^b DUKE UNIVERSITY   (United States)

^c NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

Asymptotic methods; Bubble dynamics; Shock waves

Indexed keywords

BUBBLES (IN FLUIDS); FLUID DYNAMICS; MATHEMATICAL MODELS; SHOCK WAVES; ULTRASONIC APPLICATIONS;

ASYMPTOTIC METHODS; LITHOTRIPSY;

PATIENT TREATMENT;

EID: 0032099902     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036144597322630     Document Type: Article

References (30)

1. C. BRENNEN, Cavitation and Bubble Dynamics, Oxford University Press, Oxford, UK, 1995.
2. M. BRENNER, S. HILGENFELDT, D. LOHSE, AND R. ROSALES, Acoustic-energy storage in single-bubble sonoluminescence, Phys. Rev. Lett., 77 (1996), pp. 3467-3470.
3. C. CHAUSSY AND G. FUCHS, Current state and future developments of noninvasive treatment of human urinary stones with extracorporeal shock wave lithotripsy, J. Urology, 141 (1989), pp. 782-789.
4. C. CHAUSSY, E. SCHMIEDT, D. JOCHAM, W. BRENDEL, B. FORSSMANN, AND V. WALTHER, First clinical experience with extracorporeally induced destruction of kidney stones by shock waves, J. Urology, 127 (1982), pp. 417-420.
5. T. CHRISTOPHER, Modeling the Dornier HM3 lithotripter, J. Acoustical Soc. America, 96 (1994), pp. 3088-3095.
6. C.C. CHURCH, A theoretical study of cavitation generated, by an extra corporeal shock-wave lithotripter, J. Acoustical Soc. America, 86 (1989), pp. 215-227.
7. A. J. COLEMAN AND J.E. SAUNDERS, A review of the physical properties and biological effects of the high-amplitude acoustic field used in extracorporeal lithotripsy, Ultrasonics, 31 (1993), pp. 75-89.
8. A.J. COLEMAN, J.E. SAUNDERS, L.A. CRUM, AND M. DYSON, Acoustic cavitation generated by an extracorporeal shockwave lithotripter, Ultrasound in Medicine and Biology, 13 (1987), pp. 69-76.
9. L. CRUM, Sonoluminescence, Physics Today, Sept. 1994, pp. 22-29.
10. R. DOUGLAS, H. BASS, A. FRIEDMAN, P. GLYNN, R. GRAHAM, R. HUGHES, R. JACOB, P. LANGENBERG, D. LEWIS, J. S. LONG, J. RICE, D. RICHARDS, K. UHLENBECK, AND M. WHEELER, Educating Mathematical Scientists: Doctoral Study and the Postdoctoral Experience in the United States, Report to the National Research Council, National Academy Press, Washington, D. C., 1992.
11. A. ELLER AND H.G. FLYNN, Rectified diffusion during nonlinear pulsations of cavitation bub-bles, J. Acoustical Soc. America, 37 (1965), pp. 493-503.
12. W.S. FILLER, Shock-beaming capabilities of hydrodynamic conical shock tubes, J. Acoustical Soc. America, 50 (1970), pp. 1313-1320.
13. F. GILMORE, The Growth of Collapse of a Spherical Bubble in a Viscous Compressible Liquid, Tech. Rep. 26-4, Hydrodynamics Laboratory, California Institute of Technology, Pasadena, CA, April 1952.
14. R. HICKLING, Effects of thermal conduction in sonoluminescence, J. Acoustical Soc. America, 35 (1963), pp. 967-974.
15. J. KELLER AND I. KOLODNER, Damping of underwater explosion bubble oscillations, J. Appl. Physics, 27 (1956), pp. 1152-1161.
16. J.B. KELLER AND M. MIKSIS, Bubble oscillations of large amplitude, J. Acoustical Soc. America, 68 (1980), pp. 628-633.
17. D. LOHSE, M. BRENNER, T. DUPONT, S. HILGENFELDT, AND B. JOHNSTON, Sonoluminescing air bubbles rectify argon, Phys. Rev. Lett., 78 (1997), pp. 1359-1362.
18. M. MURRAY, H. TONG, L. HOWLE, AND P. ZHONG, Response of a cavitation bubble surrounded by a viscoelastic membrane, Paper number FEDSM97-3437 (on CD Rom) Proc. Biomedical Fluid Engineering Symposium II, Vancouver, BC, Canada, 1997.
19. M.S. PLESSET, The dynamics of cavitation bubbles, ASME J. Appl. Mech., 16 (1949), pp. 228-331.
20. M.S. PLESSET, On the stability of fluid flows with spherical symmetry, J. Appl. Physics, 25 (1954), pp. 96-98.
21. M.S. PLESSET AND S.A. ZWICK, A nonsteady heat-diffusion problem with spherical symmetry, J. Appl. Physics, 23 (1952), pp. 95-98.
22. A. PROSPERETTI AND A. LEZZI, Bubble dynamics in a compressible liquid. Part 1. First-order theory, J. Fluid Mech., 186 (1986), pp. 457-478.
23. S.J. PUTTERMAN, Sonoluminescence: Sound into light, Scientific American, Feb. 1995, pp. 46-51.
24. L. RAYLEIGH, On the pressure developed in a liquid during the collapse of a spherical cavity, Phil. Mag., 34 (1917), pp. 94-98.
25. D. SCHAEFFER, Memoirs from a small-scale course in industrial math, Notices Amer. Math. Soc., 43 (1996), pp. 550-557.
26. D.H. SHARP, An overview of Rayleigh-Taylor instability, Phys. D, 12 (1984), pp. 3-18.
27. M. WATANABE AND A. PROSPERETTI, Shock waves in dilute bubbly liquids, J. Fluid Mech., 274 (1994), pp. 349-381.
28. P. ZHONG AND C.J. CHUONG, Propagation of shock waves in elastic solids caused by the impact of cavitation microjets. Part I: Theoretical formulation, J. Acoustical Soc. America, 94 (1993), pp. 19-28.
29. P. ZHONG, C. J. CHUONG, AND G.M. PREMINGER, Propagation of shock waves in elastic solids caused by the impact of cavitation microjets. Part II: Application of extracorporeal shock-wave lithotripsy, J. Acoustical Soc. America, 94 (1993), pp. 29-36.
30. P. ZHONG, I. CIOANTA, F.H. COCKS, AND G.M. PREMINGER, Inertial cavitation and associated acoustic emission produced during electrohydraulic shock-wave lithotripsy, J. Acoustical Soc. America, 101 (1997), pp. 2940-2950.