Real-Time Optimization of Thermal Ablation Cancer Treatments
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.
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.
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