2005•Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIERequires access
Coupled radiative transfer equation and diffusion approximation
Tanja Tarvainen, Marko Vauhkonen, Ville Kolehmainen, Jari P. Kaipio
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Abstract
A coupled radiative transfer equation and diffusion approximation model for photon migration in tissues is proposed. The light propagation is modeled with the radiative transfer equation in sub-domains in which the assumptions of the diffusion approximation are not valid and the diffusion approximation is used elsewhere in the domain. The coupled equations are solved using the finite element method. The proposed method is tested with simulations. The results of the coupled radiative transfer equation and diffusion approximation model are compared with the finite element solutions of the radiative transfer equation and the diffusion approximation. The results show that the coupled radiative transfer equation and diffusion approximation model can be used to describe photon migration in tissues more accurately than the conventional diffusion model.