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Mathematical optimization in intensity modulated radiation therapy

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

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Mathematical optimization in intensity modulated radiation therapy. / Ehrgott, Matthias; Güler, Çiğdem; Hamacher, Horst W. et al.
In: Annals of Operations Research, Vol. 175, No. 1, 01.03.2010, p. 309-365.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Ehrgott, M, Güler, Ç, Hamacher, HW & Shao, L 2010, 'Mathematical optimization in intensity modulated radiation therapy', Annals of Operations Research, vol. 175, no. 1, pp. 309-365. https://doi.org/10.1007/s10479-009-0659-4

APA

Ehrgott, M., Güler, Ç., Hamacher, H. W., & Shao, L. (2010). Mathematical optimization in intensity modulated radiation therapy. Annals of Operations Research, 175(1), 309-365. https://doi.org/10.1007/s10479-009-0659-4

Vancouver

Ehrgott M, Güler Ç, Hamacher HW, Shao L. Mathematical optimization in intensity modulated radiation therapy. Annals of Operations Research. 2010 Mar 1;175(1):309-365. doi: 10.1007/s10479-009-0659-4

Author

Ehrgott, Matthias ; Güler, Çiğdem ; Hamacher, Horst W. et al. / Mathematical optimization in intensity modulated radiation therapy. In: Annals of Operations Research. 2010 ; Vol. 175, No. 1. pp. 309-365.

Bibtex

@article{874097cc6bd944e7b3a09ed90c435677,
title = "Mathematical optimization in intensity modulated radiation therapy",
abstract = "The design of an intensity modulated radiotherapy treatment includes the selection of beam angles (geometry problem), the computation of an intensity map for each selected beam angle (intensity problem), and finding a sequence of configurations of a multileaf collimator to deliver the treatment (realization problem). Until the end of the last century research on radiotherapy treatment design has been published almost exclusively in the medical physics literature. However, since then, the attention of researchers in mathematical optimization has been drawn to the area and important progress has been made. In this paper we survey the use of optimization models, methods, and theories in intensity modulated radiotherapy treatment design.",
keywords = "Intensity modulated radiation therapy , Optimization , Mathematical models, Medical physics",
author = "Matthias Ehrgott and {\c C}iğdem G{\"u}ler and Hamacher, {Horst W.} and Lizhen Shao",
year = "2010",
month = mar,
day = "1",
doi = "10.1007/s10479-009-0659-4",
language = "English",
volume = "175",
pages = "309--365",
journal = "Annals of Operations Research",
issn = "0254-5330",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Mathematical optimization in intensity modulated radiation therapy

AU - Ehrgott, Matthias

AU - Güler, Çiğdem

AU - Hamacher, Horst W.

AU - Shao, Lizhen

PY - 2010/3/1

Y1 - 2010/3/1

N2 - The design of an intensity modulated radiotherapy treatment includes the selection of beam angles (geometry problem), the computation of an intensity map for each selected beam angle (intensity problem), and finding a sequence of configurations of a multileaf collimator to deliver the treatment (realization problem). Until the end of the last century research on radiotherapy treatment design has been published almost exclusively in the medical physics literature. However, since then, the attention of researchers in mathematical optimization has been drawn to the area and important progress has been made. In this paper we survey the use of optimization models, methods, and theories in intensity modulated radiotherapy treatment design.

AB - The design of an intensity modulated radiotherapy treatment includes the selection of beam angles (geometry problem), the computation of an intensity map for each selected beam angle (intensity problem), and finding a sequence of configurations of a multileaf collimator to deliver the treatment (realization problem). Until the end of the last century research on radiotherapy treatment design has been published almost exclusively in the medical physics literature. However, since then, the attention of researchers in mathematical optimization has been drawn to the area and important progress has been made. In this paper we survey the use of optimization models, methods, and theories in intensity modulated radiotherapy treatment design.

KW - Intensity modulated radiation therapy

KW - Optimization

KW - Mathematical models

KW - Medical physics

U2 - 10.1007/s10479-009-0659-4

DO - 10.1007/s10479-009-0659-4

M3 - Journal article

VL - 175

SP - 309

EP - 365

JO - Annals of Operations Research

JF - Annals of Operations Research

SN - 0254-5330

IS - 1

ER -