Magneto-acoustic tomography with magnetic induction (MAT-MI) is a coupled-physics medical imaging modality for determining conductivity distribution in biological tissue. The capability of MAT-MI to provide high resolution images has been demonstrated experimentally. The presentation will go over the science behind the imaging method, followed by an analysis of the well-posedness of the partial differential equations that model the system. A numerical approach for recovering the conductivity is proposed and results from computational experiments are presented.