Coupled radiative transfer equation and diffusion approximation model for photon migration in turbid medium with low-scattering and non-scattering regions.

Abstract:

:In this paper, a coupled radiative transfer equation and diffusion approximation model is extended for light propagation in turbid medium with low-scattering and non-scattering regions. The light propagation is modelled with the radiative transfer equation in sub-domains in which the assumptions of the diffusion approximation are not valid. The diffusion approximation is used elsewhere in the domain. The two equations are coupled through their boundary conditions and they are solved simultaneously using the finite element method. The streamline diffusion modification is used to avoid the ray-effect problem in the finite element solution of the radiative transfer equation. The proposed method is tested with simulations. The results of the coupled model are compared with the finite element solutions of the radiative transfer equation and the diffusion approximation and with results of Monte Carlo simulation. The results show that the coupled model can be used to describe photon migration in turbid medium with low-scattering and non-scattering regions more accurately than the conventional diffusion model.

journal_name

Phys Med Biol

authors

Tarvainen T,Vauhkonen M,Kolehmainen V,Arridge SR,Kaipio JP

doi

10.1088/0031-9155/50/20/011

subject

Has Abstract

pub_date

2005-10-21 00:00:00

pages

4913-30

issue

20

eissn

0031-9155

issn

1361-6560

pii

S0031-9155(05)02028-2

journal_volume

50

pub_type

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