Analysis of the magnetoacoustic tomography with magnetic induction

Lingyun Qiu, Fadil Santosa

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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 MATMI 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 equations, 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.

Original languageEnglish (US)
Pages (from-to)2070-2086
Number of pages17
JournalSIAM Journal on Imaging Sciences
Volume8
Issue number3
DOIs
StatePublished - Sep 30 2015

Bibliographical note

Publisher Copyright:
© 2015 Society for Industrial and Applied Mathematics.

Keywords

  • Conductivity imaging
  • Hybrid imaging
  • Iterative reconstruction
  • Linear convergence
  • Stability

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