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Radiotherapy Treatment Design Using Mathematical Programming Models

David Sonderman and Philip G. Abrahamson
Operations Research
Vol. 33, No. 4 (Jul. - Aug., 1985), pp. 705-725
Published by: INFORMS
Stable URL: http://www.jstor.org/stable/170708
Page Count: 21
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Radiotherapy Treatment Design Using Mathematical Programming Models
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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.

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