Ultrasound modulated bioluminescence tomography and controllability of the radiative transport equation

Guillaume Bal, Francis J. Chung, John C. Schotland

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

Abstract

We propose a method to reconstruct the density of an optical source in a highly scattering medium from ultrasound modulated optical measurements. Our approach is based on the solution to a hybrid inverse source problem for the radiative transport equation (RTE). A controllability result for the RTE plays an essential role in the analysis.

Original languageEnglish
Pages (from-to)1332-1347
Number of pages16
JournalSIAM Journal on Mathematical Analysis
Volume48
Issue number2
DOIs
StatePublished - 2016

Bibliographical note

Publisher Copyright:
© 2016 Society for Industrial and Applied Mathematics.

Keywords

  • Control theory
  • Hybrid inverse problem
  • Inverse problem
  • Radiative transport equation
  • Ultrasound modulated bioluminescence tomography

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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