CONFERENCE PROCEEDINGS
Advanced Search
Home > Journals > J. Biomed. Opt. > Volume 17 > Issue 12 > Article
Open Access
3 December 2012 Evaluation of a radiative transfer equation and diffusion approximation hybrid forward solver for fluorescence molecular imaging
Dimitris S. Gorpas, Stefan Andersson-Engels
Author Affiliations +
Journal of Biomedical Optics, Vol. 17, Issue 12, 126010 (December 2012). https://doi.org/10.1117/1.JBO.17.12.126010
Abstract
The solution of the forward problem in fluorescence molecular imaging strongly influences the successful convergence of the fluorophore reconstruction. The most common approach to meeting this problem has been to apply the diffusion approximation. However, this model is a first-order angular approximation of the radiative transfer equation, and thus is subject to some well-known limitations. This manuscript proposes a methodology that confronts these limitations by applying the radiative transfer equation in spatial regions in which the diffusion approximation gives decreased accuracy. The explicit integro differential equations that formulate this model were solved by applying the Galerkin finite element approximation. The required spatial discretization of the investigated domain was implemented through the Delaunay triangulation, while the azimuthal discretization scheme was used for the angular space. This model has been evaluated on two simulation geometries and the results were compared with results from an independent Monte Carlo method and the radiative transfer equation by calculating the absolute values of the relative errors between these models. The results show that the proposed forward solver can approximate the radiative transfer equation and the Monte Carlo method with better than 95% accuracy, while the accuracy of the diffusion approximation is approximately 10% lower.
© 2012 Society of Photo-Optical Instrumentation Engineers (SPIE) 0091-3286/2012/$25.00 © 2012 SPIE
Citation Download Citation
Dimitris S. Gorpas and Stefan Andersson-Engels "Evaluation of a radiative transfer equation and diffusion approximation hybrid forward solver for fluorescence molecular imaging," Journal of Biomedical Optics 17(12), 126010 (3 December 2012). https://doi.org/10.1117/1.JBO.17.12.126010
Published: 3 December 2012
JOURNAL ARTICLE
 19 PAGES
DOWNLOAD PAPER SAVE TO MY LIBRARY
GET CITATION
Lens.org Logo
CITATIONS
Cited by 15 scholarly publications.
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Radiative transfer
Diffusion
Monte Carlo methods
Luminescence
3D modeling
Molecular imaging
Chemical elements
RELATED CONTENT
Subscribe to Digital Library
Receive Erratum Email Alert
Back to Top