Integer Programming Applied to Intensity-Modulated Radiation Therapy Treatment Planning

Eva Lee (), Tim Fox and Ian Crocker

Annals of Operations Research, 2003, vol. 119, issue 1, 165-181

Abstract: In intensity-modulated radiation therapy (IMRT) not only is the shape of the beam controlled, but combinations of open and closed multileaf collimators modulate the intensity as well. In this paper, we offer a mixed integer programming approach which allows optimization over beamlet fluence weights as well as beam and couch angles. Computational strategies, including a constraint and column generator, a specialized set-based branching scheme, a geometric heuristic procedure, and the use of disjunctive cuts, are described. Our algorithmic design thus far has been motivated by clinical cases. Numerical tests on real patient cases reveal that good treatment plans are returned within 30 minutes. The MIP plans consistently provide superior tumor coverage and conformity, as well as dose homogeneity within the tumor region while maintaining a low irradiation to important critical and normal tissues. Copyright Kluwer Academic Publishers 2003

Keywords: intensity-modulated radiation therapy; external beam radiotherapy; optimization; mixed integer programming; treatment planning (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1023/A:1022938707934

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