Real-time optimization of thermal ablation cancer treatments

Zoi Tokoutsi, Martin Grepl, Karen Veroy, Marco Baragona, Ralph Maessen

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

Samenvatting

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.

Originele taal-2Engels
TitelNumerical Mathematics and Advanced Applications ENUMATH 2017
RedacteurenFlorin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
UitgeverijSpringer
Pagina's673-681
Aantal pagina's9
ISBN van geprinte versie9783319964140
DOI's
StatusGepubliceerd - 2019
EvenementEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017 - Voss, Noorwegen
Duur: 25 sep 201729 sep 2017

Publicatie series

NaamLecture Notes in Computational Science and Engineering
Volume126
ISSN van geprinte versie1439-7358

Congres

CongresEuropean Conference on Numerical Mathematics and Advanced Applications, ENUMATH 2017
LandNoorwegen
StadVoss
Periode25/09/1729/09/17

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