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

doi:10.1117/12.810067

23 February 2009 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

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Proceedings Volume 7174, Optical Tomography and Spectroscopy of Tissue VIII; 717410 (2009) https://doi.org/10.1117/12.810067
Event: SPIE BiOS, 2009, San Jose, California, United States

Abstract

We developed a method for solving the fluorescence equation of radiative transfer in the frequency domain on blockstructured 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.

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Ludguier D. Montejo, Alexander D. Klose, and Andreas H. Hielscher "Implementation of the radiative transfer equation on block-structured grids for modeling fluorescence light propagation in tissue with arbitrary shape", Proc. SPIE 7174, Optical Tomography and Spectroscopy of Tissue VIII, 717410 (23 February 2009); https://doi.org/10.1117/12.810067

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KEYWORDS

Luminescence

Radiative transfer

Tissue optics

Fluorescence tomography

Imaging systems

Modulation

Performance modeling

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