Diffusion processes refer to a class of stochastic processes driven by Brownian motion. They have been widely used in various applications, ranging from engineering to science to finance. In this talk, I will discuss my experiences with diffusion and how this powerful tool has shaped our research programs.

As an important medical tool, ultrasound has been used for diagnostics and therapy for decades. Unlike X-ray based imaging, ultrasound does not rely on radiative activities that makes it much safer for medical applications. Comparing to optics, ultrasound has a much higher penetration depth into the tissue. These advantages make ultrasound the dominant imaging method for abdominal organ observation.