A three-dimensional finite elements approach for the coupled radiative transfer equation and diffusion approximation modeling in fluorescence imaging

Gorpas, D; Yova, D; Politopoulos, K

dc.contributor.author	Gorpas, D	en
dc.contributor.author	Yova, D	en
dc.contributor.author	Politopoulos, K	en
dc.date.accessioned	2014-03-01T01:32:34Z
dc.date.available	2014-03-01T01:32:34Z
dc.date.issued	2010	en
dc.identifier.issn	0022-4073	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/20179
dc.subject	Angular discretization	en
dc.subject	Diffusion approximation	en
dc.subject	Finite elements method	en
dc.subject	Fluorescence imaging	en
dc.subject	Galerkin method	en
dc.subject	Radiative transfer equation	en
dc.subject	Spatial discretization	en
dc.subject	Super-ellipsoid models	en
dc.subject.classification	Spectroscopy	en
dc.subject.other	Angular discretization	en
dc.subject.other	Diffusion approximations	en
dc.subject.other	Finite-elements method	en
dc.subject.other	Fluorescence imaging	en
dc.subject.other	Radiative transfer equations	en
dc.subject.other	Spatial discretization	en
dc.subject.other	Spatial discretizations	en
dc.subject.other	Cantilever beams	en
dc.subject.other	Conformal mapping	en
dc.subject.other	Diffusion	en
dc.subject.other	Finite element method	en
dc.subject.other	Fluorescence	en
dc.subject.other	Galerkin methods	en
dc.subject.other	Heat radiation	en
dc.subject.other	Inverse problems	en
dc.subject.other	Medical imaging	en
dc.subject.other	Optical properties	en
dc.subject.other	Radiative transfer	en
dc.subject.other	Simulators	en
dc.subject.other	Three dimensional	en
dc.subject.other	Tumors	en
dc.subject.other	Coupled circuits	en
dc.subject.other	algorithm	en
dc.subject.other	equation	en
dc.subject.other	finite element method	en
dc.subject.other	fluorescence spectroscopy	en
dc.subject.other	Galerkin method	en
dc.subject.other	imaging method	en
dc.subject.other	inverse problem	en
dc.subject.other	numerical model	en
dc.subject.other	radiative transfer	en
dc.subject.other	spatial analysis	en
dc.subject.other	three-dimensional modeling	en
dc.title	A three-dimensional finite elements approach for the coupled radiative transfer equation and diffusion approximation modeling in fluorescence imaging	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.jqsrt.2009.11.006	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.jqsrt.2009.11.006	en
heal.language	English	en
heal.publicationDate	2010	en
heal.abstract	During the last few years a quite large number of fluorescence molecular imaging applications have been reported in the literature, as one of the most challenging aspects in medical imaging is to ""see"" a tumor embedded into tissue, which is a turbid medium, by using fluorescent probes for tumor labeling. However, the forward solvers, required for the successful convergence of the inverse problem, are still lacking accuracy and time feasibility. Moreover, initialization of these solvers may be proven even more difficult than solving the inverse problem itself. This paper describes in depth a coupled radiative transfer equation and diffusion approximation model for solving the forward problem in fluorescence imaging. The theoretical confrontation of these solvers comprises the model deployment, its Galerkin finite elements approximation and the domain discretization scheme. Finally, a new optical properties mapping algorithm, based on super-ellipsoid models, is implemented, providing a fully automated simulation target construction within feasible time. © 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Journal of Quantitative Spectroscopy and Radiative Transfer	en
dc.identifier.doi	10.1016/j.jqsrt.2009.11.006	en
dc.identifier.isi	ISI:000274069900004	en
dc.identifier.volume	111	en
dc.identifier.issue	4	en
dc.identifier.spage	553	en
dc.identifier.epage	568	en