Ticopt

The Tilburg Center for Optimization aims to develop new optimization models and methods and to solve practical optimization problems in industry and governmental institutes.

Optimal Cancer Treatment

Optimization plays a crucial role in the IMRT approach for cancer treatment. The aim is to find a treatment plan such the tumour receives the predescribed radiation dose and the healthy organs as little radiation as possible. In cooperation with the Radiotherapy Physics Group of Radboud University Nijmegen Medical Centre in Nijmegen (the Netherlands) we developed algorithms to solve the underlying multi-objective optimization problem and showed that many nonconvex biological objectives and constraints can be reformulated as convex ones. Recently, we started research in using optimization techniques in high dose brachytherapy, which is an alternative cancer treatment approach.

Publications:

  • Hoffmann, A.L., Siem, A.Y.D., Hertog, D. den, Kaanders, J.H.A.M., & Huizenga, H (2008). Convex reformulation of biologically-based multi-crtiteria intensity-modulated radiation therapy optimization including fractionation effects. Physics in Medicine and Biology, 53, 6345-6362.
  • Hoffmann, A.L., Siem, A.Y.D., Hertog, D. den, Kaanders, J.H.A.M., & Huizenga, H (2008). Convex reformulation of biologically-based multi-crtiteria intensity-modulated radiation therapy optimization including fractionation effects. Physics in Medicine and Biology, 53, 6345-6362.
  • Siem, A.Y.D., Hertog, D. den, & Hoffmann, A.L. (2008). The effect of transformations on the approximation of univariate (convex) functions with applications to Pareto curves. European Journal of Operational Research, 189(2), 347-362.
  • Hoffmann, A.L., Siem, A.Y.D., Hertog, D. den, Kaanders, J.H.A.M., & Huizenga, H (2006). Derivative-free generation and interpolation of convex Pareto optimal IMRT plans. Physics in Medicine and Biology, 51(24), 6349-6369.