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arXiv · 1503.03812

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

Lingyun Qiu·Fadil Santosa
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Abstract

Magnetoacoustic 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. 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 paper 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. A global Lipschitz type stability estimate is obtained. A numerical approach for recovering the conductivity is proposed and results from computational experiments are presented.

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Lingyun Qiu, Fadil Santosa. 2015-03-12. Analysis of the Magneto-acoustic Tomography with Magnetic Induction (MAT-MI). https://arxiv.org/abs/1503.03812

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