The inverse source problem based on the radiative transfer equation in optical molecular imaging

Alexander D. Klose, Vasilis Ntziachristos, Andreas H. Hielscher

Research output: Contribution to journalArticlepeer-review

Abstract

We present the first tomographic reconstruction algorithm for optical molecular imaging that is based on the equation of radiative transfer. The reconstruction code recovers the spatial distribution of fluorescent sources in highly scattering biological tissue. An objective function, which describes the discrepancy of measured near-infrared light with predicted numerical data on the tissue surface, is iteratively minimized to find a solution of the inverse source problem. At each iteration step the predicted data are calculated by a forward model for light propagation based on the equation of radiative transfer. The unknown source distribution is updated along a search direction that is provided by an adjoint differentiation technique.

Original languageEnglish (US)
Pages (from-to)323-345
Number of pages23
JournalJournal of Computational Physics
Volume202
Issue number1
DOIs
StatePublished - Jan 1 2005

Keywords

  • Adjoint differentiation
  • Algorithmic differentiation
  • Discrete ordinates method
  • Equation of radiative transfer
  • Fluorescence imaging
  • Fluorescence tomography
  • Inverse source problem
  • Molecular imaging
  • Scattering media
  • Tissue optics

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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