Jan Sikora et al 2006 Phys. Med. Biol. 51 497 doi:10.1088/0031-9155/51/3/003
Jan Sikora1, Athanasios Zacharopoulos2, Abdel Douiri2, Martin Schweiger2, Lior Horesh3, Simon R Arridge2 and Jorge Ripoll4
Show affiliationsDiffuse optical tomography (DOT) is an emerging functional medical imaging modality which aims to recover the optical properties of biological tissue. The forward problem of the light propagation of DOT can be modelled in the frequency domain as a diffusion equation with Robin boundary conditions. In the case of multilayered geometries with piecewise constant parameters, the forward problem is equivalent to a set of coupled Helmholtz equations. In this paper, we present solutions for the multilayered diffuse light propagation for a three-layer concentric sphere model using a series expansion method and for a general layered geometry using the boundary element method (BEM). Results are presented comparing these solutions to an independent Monte Carlo model, and for an example three layered head model.
87.10.-e General theory and mathematical aspects
87.50.W- Optical/infrared radiation effects
02.30.Jr Partial differential equations
42.30.Wb Image reconstruction; tomography
02.60.Lj Ordinary and partial differential equations; boundary value problems
Issue 3 (7 February 2006)
Received 23 August 2005, in final form 15 November 2005
Published 11 January 2006
Jan Sikora et al 2006 Phys. Med. Biol. 51 497
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