The Direct Robin Boundary Value Parabolic System of Time-Resolved Diffuse Optical Tomography with Fluorescence
Year: 2019
Author: Zakaria Belhachmi, Guillaume Dollé, Christophe Prud'homme, Murielle Torregrossa
Journal of Mathematical Study, Vol. 52 (2019), Iss. 3 : pp. 341–358
Abstract
We consider a system of parabolic PDEs with measure data modelling a problem of the time resolved diffuse optical tomography with a fluorescence term and Robin boundary conditions. We focus on the direct problem where the quantity of interest is the density of photons in the diffusion equations and which constitutes a major step to solve the inverse problem of identifiability and reconstruction of diffusion, absorption and concentration of the fluorescent markers. We study the problem under a variational form and its discretization with finite element method and we give some numerical simulation results for verification purpose as well as simulations with real data from a tomograph.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v52n3.19.07
Journal of Mathematical Study, Vol. 52 (2019), Iss. 3 : pp. 341–358
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Tomography scattering fluorescence contact non-contact.