Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Fractionation with a Single Organ-at-Risk
- 3 Fractionation with Multiple Organs-at-Risk
- 4 Robust Fractionation
- 5 Inverse Fractionation
- 6 Spatiotemporally Integrated Fractionation
- 7 Robust Spatiotemporally Integrated Fractionation
- 8 Fractionation with Two Modalities
- 9 Robust Fractionation with Two Modalities
- 10 Directions for Future Work
- Appendix Background on Optimization
- References
- Index
7 - Robust Spatiotemporally Integrated Fractionation
Published online by Cambridge University Press: 05 October 2023
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- 1 Introduction
- 2 Fractionation with a Single Organ-at-Risk
- 3 Fractionation with Multiple Organs-at-Risk
- 4 Robust Fractionation
- 5 Inverse Fractionation
- 6 Spatiotemporally Integrated Fractionation
- 7 Robust Spatiotemporally Integrated Fractionation
- 8 Fractionation with Two Modalities
- 9 Robust Fractionation with Two Modalities
- 10 Directions for Future Work
- Appendix Background on Optimization
- References
- Index
Summary
This chapter accommodates uncertainty in the LQ dose-response parameters of the spatiotemporally integrated formulation of the fractionation problem from the previous chapter. It pursues a robust optimization approach, where the uncertainty is modeled using interval ranges for possible parameter values. The resulting robust formulation is infinite-dimensional. The chapter describes an approach rooted in linear programming duality to equivalently reformulate this as a finite collection of finite-dimensional convex linear-quadratic programs. The effect of the size of interval ranges on the treatment plans is studied via computational experiments.
- Type
- Chapter
- Information
- Optimal Fractionation in Radiotherapy , pp. 90 - 95Publisher: Cambridge University PressPrint publication year: 2023