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A chance-constrained programming framework to handle uncertainties in radiation therapy treatment planning

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  • Zaghian, Maryam
  • Lim, Gino J.
  • Khabazian, Azin

Abstract

A stochastic programming framework is proposed for radiation therapy treatment planning. This framework takes into account uncertainty in setting up or positioning patients identically day-to-day during the treatment period. Because uncertainties are unavoidable, constraint violations are tolerated to some degree in practice. Under this assumption, a chance-constrained programming (CCP) framework is developed to handle setup uncertainties in treatment planning. The proposed framework can be employed under different distributional assumptions. The goal of the proposed approach is to maximize both the statistical confidence level of a treatment plan and the homogeneity of the dose distributions. This novel perspective provides a user-centric and personalized optimization model that allows a trade-off between sufficient tumor coverage and sparing healthy tissues under uncertainty. We describe testing of the performance of the proposed CCP models in terms of plan quality, robustness, and homogeneity and confidence level of the constraints using clinical data for a prostate cancer patient. Optimized CCP plans are also compared to plans developed using a deterministic approach that does not take uncertainties into account. Numerical experiments confirmed that the CCP is able to control setup uncertainties in target coverage and sparing of organs-at-risk.

Suggested Citation

  • Zaghian, Maryam & Lim, Gino J. & Khabazian, Azin, 2018. "A chance-constrained programming framework to handle uncertainties in radiation therapy treatment planning," European Journal of Operational Research, Elsevier, vol. 266(2), pages 736-745.
    • Handle: RePEc:eee:ejores:v:266:y:2018:i:2:p:736-745
    DOI: 10.1016/j.ejor.2017.10.018
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    References listed on IDEAS

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    1. A. Charnes & W. W. Cooper, 1959. "Chance-Constrained Programming," Management Science, INFORMS, vol. 6(1), pages 73-79, October.
    2. Lim, Gino J. & Cao, Wenhua, 2012. "A two-phase method for selecting IMRT treatment beam angles: Branch-and-Prune and local neighborhood search," European Journal of Operational Research, Elsevier, vol. 217(3), pages 609-618.
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    Cited by:

    1. Dias, Luis C. & Dias, Joana & Ventura, Tiago & Rocha, Humberto & Ferreira, Brígida & Khouri, Leila & Lopes, Maria do Carmo, 2022. "Learning target-based preferences through additive models: An application in radiotherapy treatment planning," European Journal of Operational Research, Elsevier, vol. 302(1), pages 270-279.
    2. Custodio, Janiele & Lejeune, Miguel & Zavaleta, Antonio, 2019. "Note on “A chance-constrained programming framework to handle uncertainties in radiation therapy treatment planning”," European Journal of Operational Research, Elsevier, vol. 275(2), pages 793-794.
    3. Jiang, Jie & Peng, Shen, 2024. "Mathematical programs with distributionally robust chance constraints: Statistical robustness, discretization and reformulation," European Journal of Operational Research, Elsevier, vol. 313(2), pages 616-627.

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