Lithotripsy: The treatment of kidney stones with shock waves

Journal Article (Journal Article)

This paper discusses mathematical models for the response of a small air bubble in water to an ultrasound pulse, a context that arises in the modern treatment for kidney stones. The paper reviews Rayleigh's 1917 theory for bubble response, applies asymptotics to describe large-amplitude solutions of Rayleigh's equations, and briefly discusses effects neglected in the simple model. The style is expository, intended both to introduce this application to mathematicians and to illustrate the use of asymptotic methods to nonmathematicians.

Full Text

Duke Authors

Cited Authors

  • Howle, L; Schaeffer, DG; Shearer, M; Zhong, P

Published Date

  • January 1, 1998

Published In

Volume / Issue

  • 40 / 2

Start / End Page

  • 356 - 371

International Standard Serial Number (ISSN)

  • 0036-1445

Digital Object Identifier (DOI)

  • 10.1137/S0036144597322630

Citation Source

  • Scopus