Real-time optimization of thermal ablation cancer treatments

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

doi:10.1007/978-3-319-96415-7_62

Real-time optimization of thermal ablation cancer treatments

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

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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.

Original language	English
Title of host publication	Numerical Mathematics and Advanced Applications ENUMATH 2017
Editors	Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Publisher	Springer
Pages	673-681
Number of pages	9
ISBN (Print)	9783319964140
DOIs	https://doi.org/10.1007/978-3-319-96415-7_62
Publication status	Published - 2019
Externally published	Yes
Event	European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2017 - Voss, Norway Duration: 25 Sept 2017 → 29 Sept 2017

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	126
ISSN (Print)	1439-7358

Conference

Conference	European Conference on Numerical Mathematics and Advanced Applications
Abbreviated title	ENUMATH 2017
Country/Territory	Norway
City	Voss
Period	25/09/17 → 29/09/17

Funding

Acknowledgements This work is supported by the European Commission through the Marie Sklodowska-Curie Actions (EID, Project Nr. 642445). We would like to thank the anonymous reviewer for helpful comments.

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1007/978-3-319-96415-7_62

Cite this

Tokoutsi, Z., Grepl, M., Veroy, K., Baragona, M., & Maessen, R. (2019). Real-time optimization of thermal ablation cancer treatments. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (Eds.), Numerical Mathematics and Advanced Applications ENUMATH 2017 (pp. 673-681). (Lecture Notes in Computational Science and Engineering; Vol. 126). Springer. https://doi.org/10.1007/978-3-319-96415-7_62

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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",

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Tokoutsi, Z, Grepl, M, Veroy, K, Baragona, M & Maessen, R 2019, Real-time optimization of thermal ablation cancer treatments. in FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (eds), Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol. 126, Springer, pp. 673-681, European Conference on Numerical Mathematics and Advanced Applications , Voss, Norway, 25/09/17. https://doi.org/10.1007/978-3-319-96415-7_62

Real-time optimization of thermal ablation cancer treatments. / Tokoutsi, Zoi; Grepl, Martin; Veroy, Karen et al.
Numerical Mathematics and Advanced Applications ENUMATH 2017. ed. / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Springer, 2019. p. 673-681 (Lecture Notes in Computational Science and Engineering; Vol. 126).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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Real-time optimization of thermal ablation cancer treatments

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