@inproceedings{f2c0601775c749cbb3ea3cee5187280d,
title = "Real-time optimization of thermal ablation cancer treatments",
abstract = "Motivated by thermal ablation treatments for prostate cancer, the current work investigates the optimal delivery of heat in tissue. The problem is formulated as an optimal control problem constrained by a parametrized partial differential equation (PDE) which models the heat diffusion in living tissue. Geometry and material parameters as well as a parameter entering through the boundary condition are considered. Since there is a need for real-time solution of the treatment planning problem, we introduce a reduced order approximation of the optimal control problem using the reduced basis method. Numerical results are presented that highlight the accuracy and computational efficiency of our reduced model.",
author = "Zoi Tokoutsi and Martin Grepl and Karen Veroy and Marco Baragona and Ralph Maessen",
year = "2019",
doi = "10.1007/978-3-319-96415-7_62",
language = "English",
isbn = "9783319964140",
series = "Lecture Notes in Computational Science and Engineering",
publisher = "Springer",
pages = "673--681",
editor = "Radu, {Florin Adrian} and Kundan Kumar and Inga Berre and Nordbotten, {Jan Martin} and Pop, {Iuliu Sorin}",
booktitle = "Numerical Mathematics and Advanced Applications ENUMATH 2017",
address = "Germany",
note = "European Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 ; Conference date: 25-09-2017 Through 29-09-2017",
}