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 Bioljournal_title
Physics in medicine and biologyauthors
Tarvainen T,Vauhkonen M,Kolehmainen V,Arridge SR,Kaipio JPdoi
10.1088/0031-9155/50/20/011subject
Has Abstractpub_date
2005-10-21 00:00:00pages
4913-30issue
20eissn
0031-9155issn
1361-6560pii
S0031-9155(05)02028-2journal_volume
50pub_type
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