Breast ultrasound tomography problem: 3D simulation

The work is devoted to the problem of finding small inclusions in the breast tissue by boundary measurements of acoustic waves generated by sources located on the boundary. In this work, we describe some results of simulations of this problem in 3D. The simulations include the solution of direct and inverse problems. We calculate acoustic waves for a specific breast model (direct problem) [1, 2]. Our approach, proposed in [3, 4], is based on visualization of inclusions and unknown inner boundary between fat and glandular tissues and determination of sound speeds in inclusions using kinematic argument.