Computational models of material interfaces for the study of extracorporeal shock wave therapy

  title={Computational models of material interfaces for the study of extracorporeal shock wave therapy},
  author={Kirsten M. Fagnan and Randall J. LeVeque and Thomas J. Matula},
  journal={arXiv: Numerical Analysis},
Extracorporeal Shock Wave Therapy (ESWT) is a noninvasive treatment for a variety of musculoskeletal ailments. A shock wave is generated in water and then focused using an acous- tic lens or reector so the energy of the wave is concentrated in a small treatment region where mechanical stimulation enhances healing. In this work we have computationally investigated shock wave propagation in ESWT by solving a Lagrangian form of the isentropic Euler equa- tions in the uid and linear elasticity in… 

Computational study of shock waves propagating through air-plastic-water interfaces

The following study ismotivated by experimental studies in traumatic brain injury (TBI). Recent research has demonstrated that low intensity non-impact blast wave exposure frequently leads to mild

Quantitative Assessments of Mechanical Responses upon Radial Extracorporeal Shock Wave Therapy

This study develops a methodology to combine experimental measurements and computational simulations to obtain pressure fields from rESWT through calibrating and validating computational models with experimental measurements, and will open a new avenue of personalized treatment planning and mechanism research for rES WT.

Numerical Methods for Interface Coupling of Compressible and Almost Incompressible Media

Computational simulations of the shock wave passing from gas into a thin elastic solid and into a nearly incompressible fluid are developed and it is shown that if the solid interface is very thin, it can be neglected, simplifying the model.


The theory of nonlinear gas dynamic waves or shock waves plays a vital role in the understanding the most of mathematical, biological, and engineering sciences. The solutions of governing non linear

Computational and In Vitro Studies of Blast-Induced Blood-Brain Barrier Disruption

An in vitro model in which BBB endothelial cells are grown in transwell vessels and exposed in a shock tube is investigated, confirming that BBB integrity is directly related to shock wave intensity.

Stochastic Modeling of Reversible Biochemical Reaction-Diffusion Systems and High-Resolution Shock-Capturing Methods for Fluid Interfaces

A discrete stochastic model that conserves probability and recovers the classical equations in the continuous limit is developed in the case of reversible reactions, it recovers the back-reaction boundary condition and provides an accurate Stochastic interpretation.

Interface Problems using the Fokas Method

Interface Problems using the Fokas Method Natalie Elizabeth Sheils Chair of the Supervisory Committee: Professor Bernard Deconinck Department of Applied Mathematics Interface problems for partial

An experimentally-calibrated damage mechanics model for stone fracture in shock wave lithotripsy

A damage model suggested by the Tuler–Butcher concept of dynamic accumulation of microscopic defects is obtained from experimental data on microcrack formation in synthetic kidney stones predicting concurrent formation of two main fracture areas as observed experimentally.



High-Resolution Finite Volume Methods for Extracorporeal Shock Wave Therapy

Extracorporeal Shock Wave Therapy (ESWT) is a noninvasive technique for the treatment of a variety of musculoskeletal conditions such as delayed union of bone fractures, plantar fasciitis and

A cumulative shear mechanism for tissue damage initiation in shock-wave lithotripsy.

Principles of shock wave therapy.

The basic physics of shock waves and the physical parameters involved in assessing the amount of energy delivered to the target tissue and in comparing the various high- and low-energy devices being evaluated clinically for musculoskeletal applications are summarized.

High-Resolution Finite Volume Modeling of Wave Propagation in Orthotropic Poroelastic Media

This work uses a Cartesian-grid high-resolution finite volume method to numerically solve Biot's equations in the time domain for orthotropic materials, with the stiff relaxation source term in the equations incorporated using operator splitting.

Modeling elastic wave propagation in kidney stones with application to shock wave lithotripsy.

The results demonstrate that shear waves likely play a critical role in stone comminution and that lithotripters with large focal widths and short rise times should be effective at generating high stresses inside kidney stones.

Computation of bubbly cavitating flow in shock wave lithotripsy

Lithotripsy is at the forefront of treatment of kidney stones. By firing shock waves at the stone, it can be broken down into small fragments. Although the treatment is non-invasive, both short- and

A suppressor to prevent direct wave-induced cavitation in shock wave therapy devices.

It is shown with both simulations and experiments that bubbles are forced to grow in response to the direct wave, and that these bubbles can still be large when the focused shock wave arrives, and a baffle or "suppressor" that blocks the propagation of theDirect wave is shown to significantly reduce the directWave pressure amplitude, as well as direct wave-induced bubble growth.

A mechanistic analysis of stone fracture in lithotripsy.

In vitro experiments and an elastic wave model were used to analyze how stress is induced in kidney stones by lithotripsy and to test the roles of individual mechanisms-spallation, squeezing, and

Finite‐volume methods for non‐linear elasticity in heterogeneous media

An approximate Riemann solver is developed for the equations of non‐linear elasticity in a heterogeneous medium, where each grid cell has an associated density and stress–strain relation. The

Modeling the Dornier HM3 lithotripter.

  • T. Christopher
  • Physics
    The Journal of the Acoustical Society of America
  • 1994
The computational modeling of a Dornier HM3 electrohydraulic, extracorporeal shock wave lithotripter is considered and the computed in vivo predictions suggest that the Dorniers HM3's clinical performance is not significantly different than its water path performance.