@Article{JMS-52-3,
author = {Zakaria, Belhachmi and Guillaume, Dollé and Prud'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 = {<p style="text-align: justify;">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.</p>},
issn = {2617-8702},
doi = {https://doi.org/10.4208/jms.v52n3.19.07},
url = {https://global-sci.com/article/87730/the-direct-robin-boundary-value-parabolic-system-of-time-resolved-diffuse-optical-tomography-with-fluorescence}
}