IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Analysis of the Magneto-acoustic Tomography with Magnetic Induction (MAT-MI)

  • Aug. 31, 2015
  • 1:15 p.m.
  • LeConte 312

Abstract

Magneto-acoustic tomography with magnetic induction (MAT-MI) is a coupled-physics medical imaging modality for determining conductivity distribution in biological tissue. MAT-MI involves two steps. The first step is a well-posed inverse source problem for acoustic wave equation, which has been well studied in the literature. This work concerns mathematical analysis of the second step, a quantitative reconstruction of the conductivity from knowledge of the internal data recovered in the first step, using techniques such as time reversal. The problem is modeled by a system derived from Maxwell's equations. We show that a single internal data determines the conductivity and a global Lipschitz type stability estimate is obtained. A numerical approach for recovering the conductivity is proposed. A linear convergent rate is proved for the proposed scheme and observed in the computational experiments.

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