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Radiotherapy Treatment Design Using Mathematical Programming Models

Author

Listed:
  • David Sonderman

    (University of Massachusetts, Amherst, Massachusetts)

  • Philip G. Abrahamson

    (Applied Decision Analysis, Menlo Park, California)

Abstract

The design of treatment for external beam radiation therapy of malignant tumors is a complex decision-making process. This paper introduces and develops mathematical programming models that can aid this process. After briefly discussing the necessary background material, we state our linear and mixed-integer programming models, along with some variations that can be usefully implemented in some situations. We then compare our design for a case of lung cancer with a standardized approach, and the advantages of our models become evident. We close with several comments about the potential utility of this class of models in treating other types of cancers.

Suggested Citation

  • David Sonderman & Philip G. Abrahamson, 1985. "Radiotherapy Treatment Design Using Mathematical Programming Models," Operations Research, INFORMS, vol. 33(4), pages 705-725, August.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:4:p:705-725
    DOI: 10.1287/opre.33.4.705
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    Citations

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    Cited by:

    1. Victoria Chen & Seoung Kim & Jay Rosenberger, 2009. "Comments on: Optimization and data mining in medicine," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(2), pages 240-246, December.
    2. Gino J. Lim & Michael C. Ferris & Stephen J. Wright & David M. Shepard & Matthew A. Earl, 2007. "An Optimization Framework for Conformal Radiation Treatment Planning," INFORMS Journal on Computing, INFORMS, vol. 19(3), pages 366-380, August.
    3. Matthias Ehrgott & Çiğdem Güler & Horst Hamacher & Lizhen Shao, 2010. "Mathematical optimization in intensity modulated radiation therapy," Annals of Operations Research, Springer, vol. 175(1), pages 309-365, March.
    4. Arcangeli, G. & Benassi, M. & Nieddu, L. & Passi, C. & Patrizi, G. & Russo, M. T., 2002. "Optimal adaptive control of treatment planning in radiation therapy," European Journal of Operational Research, Elsevier, vol. 140(2), pages 399-412, July.

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