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Contribution à la modélisation et à la simulation numérique de la spectroscopie optique des tissus biologiques : application à l'imagerie moléculaire de fluorescence résolue en temps

Abstract : The diagnosis of tumours at an early stage is an essential key to fight cancer, that is why many diagnostic techniques are under development, particularly in the biomedical optics domain. The work undertaken in this thesis has been done to contributeto the evolution of these techniques. In this manuscript, we propose a description and a comparison of statistical and deterministic models implementedto simulate the propagation of light in biological tissues by Monte Carlo, hybrid Monte Carlo and finite elements, taking into account the exogenous fluorescence process. The efficiency of the finite elementmethod allows us to study the sensitivity of time-resolved fluorescence signals by analysing the influence of many structural and informal parameters. Finally, two image recontruction techniques are implemented. The proposed inversion methods ( Gauss Newton and the conjugate gradient method) are non linear and ask for an iterative optimisation process. They are based on the direct problem which is solved by the finite element method. Then, a strategic and automatic mesh refinement is carried out and integrated into the non linear inverse model. A comparison of the convergence properties of the two methods is proposed for many study case studies. First, we consider a domain in which a single fluorescent object is inserted. Then, the biological medium is simulated with two fluorescent embedded targets. We study the influence, on the reconstructed images, of the distance between the two objects and the impact of the residual fluorescence in the surrounding tissues.
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Submitted on : Friday, November 20, 2009 - 12:52:49 PM
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Marine Kervella. Contribution à la modélisation et à la simulation numérique de la spectroscopie optique des tissus biologiques : application à l'imagerie moléculaire de fluorescence résolue en temps. Sciences du Vivant [q-bio]. Université d'Angers, 2008. Français. ⟨tel-00433858⟩

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