Simulation comparisons on diffusion equation

Jun Ge; Sixiang Nie; Vassillis Syrmos; David Y. Yun

doi:10.1117/12.382736

19 April 2000 Simulation comparisons on diffusion equation

Jun Ge, Sixiang Nie, Vassillis Syrmos, David Y. Yun

Proceedings Volume 3917, Optical Biopsy III; (2000) https://doi.org/10.1117/12.382736
Event: BiOS 2000 The International Symposium on Biomedical Optics, 2000, San Jose, CA, United States

Abstract

Near IR laser is being explored in clinic diagnosis of early-stage cancer. Diffusion equation is used as the mathematical model to describe photon propagation inside human tissues. In this paper, two numerical algorithms, ADI and FEM, are applied in solving the diffusion equation. All the algorithms reach a satisfactory precision on a human- tissue model of realistic size. Results form simulation and experimental are compared and show a good match. Further analysis on algorithm convergence for both spatial grid size and time step also shows the algorithmic stability. The multigrid version of both ADI and FEM are developed to save computational time and memory. The multigrid algorithms use fine grid size in the region of interest and coarse grid size elsewhere. Parallelization implementation is completed for all the algorithms in both share-memory mode and message passing mode. Numerical simulation experiments show that all simulators can serve as computed experiments, i.e. an alternative to physical experiments.

Citation Download Citation

Jun Ge, Sixiang Nie, Vassillis Syrmos, and David Y. Yun "Simulation comparisons on diffusion equation", Proc. SPIE 3917, Optical Biopsy III, (19 April 2000); https://doi.org/10.1117/12.382736

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KEYWORDS

Finite element methods

Diffusion

Computer simulations

Tissues

Sensors

Absorption

Mathematical modeling

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