@Article{JMS-52-341, author = {Belhachmi , ZakariaDollé , GuillaumePrud'homme , Christophe and Torregrossa , Murielle}, title = {The Direct Robin Boundary Value Parabolic System of Time-Resolved Diffuse Optical Tomography with Fluorescence}, journal = {Journal of Mathematical Study}, year = {2019}, volume = {52}, number = {3}, pages = {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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v52n3.19.07}, url = {http://global-sci.org/intro/article_detail/jms/13302.html} }