MATHEMATICS COLLOQUIUM
Speaker: Tim Colonius
Title: Modeling and Simulation of Cavitation and Kidney
Stone Comminution in Shockwave Lithotripsy
Affiliation: California Institute of Technology
Date: Friday, January 20, 2006.
Place and Time: Room 101 - Love Building, 3:35-4:30 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.
Abstract.
In shockwave lithotripsy (SWL), focused shockwaves are aimed at kidney
stones to break them up into fine enough pieces to be passed naturally.
Some basic design parameters of lithotripters have been established for
many years, but the precise mechanisms that control damage are still
debated. Cavitation, in particular, can both enhance and attenuate stone
comminution, and must be understood in order to improve lithotripter design.
In our work, numerical simulations are used to investigate shock
propagation and the consequent growth and collapse of a bubble cloud in
the focal region. In the simulations, a continuum two-phase flow model
for the ensemble-averaged macroscale is coupled to simplified models for
individual spherical bubble dynamics at the microscale. The collective
collapse of the bubble cloud provides significant energy for comminution
(beyond what a single bubble would produce). Laboratory data is used
together with the simulations to establish the importance of cloud
interaction effects on treatment parameters such as shock strength and
pulse repetition frequency. We will also discuss recent work where we
are simulating dynamic fracture of kidney stones and studying a number
of fundamental issues related to the non-spherical collapse of cavitation
bubbles near the surface of a stone.
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