Intensity modulated radiation therapy treatment plan optimization. With comments and rejoinder.

*(English)*Zbl 1154.90019Summary: We provide an overview of the state-of-the-art of optimization models for static radiation therapy treatment planning, focusing in particular on intensity modulated radiation therapy (IMRT) by (i) establishing a novel connection between risk management and radiation therapy treatment planning, and (ii) unifying and contrasting two different modeling approaches. In addition, we discussion recent and ongoing technological developments which show that this area of research is a lively and promising one that can continue to help patients by improving the clinical practice of radiation therapy.

##### MSC:

90C90 | Applications of mathematical programming |

90B50 | Management decision making, including multiple objectives |

90-02 | Research exposition (monographs, survey articles) pertaining to operations research and mathematical programming |

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\textit{H. E. Romeijn} and \textit{J. F. Dempsey}, Top 16, No. 2, 215--243, 244--257 (2008; Zbl 1154.90019)

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