Mathematics of Acoustic Nonlinearity Tomography

Organizers of this minisymposium are

Nonlinear-ultrasound tomography (NUST), which generates an image of the nonlinearity parameter B/A, has – because of its clinical potential – been a topic of interest for 40 years, but like ultrasound tomography a few years ago (with first attempts going back to the 1950’s) and for similar reasons, the time is now right for a game-changing breakthrough. To take NUST from a promising idea to a fully-fledged imaging modality will require a thorough understanding of how to model the forward wave problem of nonlinear acoustic propagation, leading to efficient numerical codes and a better understanding of the mechanisms that can be exploited to obtain useful data, as well as an in-depth study of the inverse problem, which will inform experimental design and the development of image reconstruction algorithms. This minisymposium aims at bringing together researchers working on this topic in the areas of mathematical analysis, numerics of partial differential equations, inverse problems, scientific computing and biomedical imaging, in order to encourage new ideas and trends in this direction, and initiate cooperation.