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4 - Robust Fractionation

Published online by Cambridge University Press:  05 October 2023

Archis Ghate
Affiliation:
University of Washington
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Summary

The previous chapter demonstrated that an optimal dosing plan for the fractionation problem depends on the values of the LQ dose-response parameters for the tumor and the organs-at-risk. Unfortunately, these parameter values are unknown and difficult to estimate accurately. The literature often instead reports estimated interval ranges for these values. This chapter therefore pursues a robust optimization approach to the fractionation problem. The goal is to find a dosing plan that would not violate toxicity limits for the organs-at-risk as long as the “true” values of the unknown parameters belong to estimated interval ranges. These ranges are called uncertainty intervals. In fact, among all such robust plans, the treatment planner is interested in finding one that maximizes tumor-kill. The chapter provides a formulation for this problem, which is inevitably infinite-dimensional. Structural insights from the previous two chapters are utilized to reformulate this problem such that it can be instead tackled by solving a finite set of linear programs with two variables. The effect of the size of the uncertainty interval on the dosing plans is studied via numerical experiments.

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Chapter
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Publisher: Cambridge University Press
Print publication year: 2023

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  • Robust Fractionation
  • Archis Ghate, University of Washington
  • Book: Optimal Fractionation in Radiotherapy
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781009341110.005
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  • Robust Fractionation
  • Archis Ghate, University of Washington
  • Book: Optimal Fractionation in Radiotherapy
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781009341110.005
Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

  • Robust Fractionation
  • Archis Ghate, University of Washington
  • Book: Optimal Fractionation in Radiotherapy
  • Online publication: 05 October 2023
  • Chapter DOI: https://doi.org/10.1017/9781009341110.005
Available formats
×