Implementation of the radiative transfer equation on block-structured grids for modeling fluorescence light propagation in tissue with arbitrary shape

Ludguier D. Montejo, Alexander D. Klose, Andreas H. Hielscher

    Research output: Contribution to journalConference articlepeer-review

    Abstract

    We developed a method for solving the fluorescence equation of radiative transfer in the frequency domain on block-structured grids. In this way fluorescence light propagation in arbitrarily shaped tissue can be modeled with high accuracy without compromising on the convergence speed of these codes. The block-structure grid generator is developed as a multi-purpose tool that can be used with many numerical schemes. We present results from numerical studies that show that it is possible to resolve curved boundaries with grids that maintain much of the intrinsic structure of Cartesian grids. The natural ordering of this grid allows for simplified algorithms. In simulation studies we found that we can reduce the error in boundary fluence by a factor of five by using a two-level block structured grid. The increase in computational cost is only two-fold. We compare benchmark solutions to results with various levels of refinement, boundary conditions, and different geometries.

    Original languageEnglish (US)
    Article number717410
    JournalProgress in Biomedical Optics and Imaging - Proceedings of SPIE
    Volume7174
    DOIs
    StatePublished - 2009
    EventOptical Tomography and Spectroscopy of Tissue VIII - San Jose, CA, United States
    Duration: Jan 25 2009Jan 27 2009

    Keywords

    • Adaptive mesh refinement
    • Block-structured grids
    • Equation of radiative transfer
    • Fluorescence tomography

    ASJC Scopus subject areas

    • Electronic, Optical and Magnetic Materials
    • Biomaterials
    • Atomic and Molecular Physics, and Optics
    • Radiology Nuclear Medicine and imaging

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