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Mathematical optimization in intensity modulated radiation therapy

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Mathematical optimization in intensity modulated radiation therapy. / Ehrgott, Matthias; Güler, Çiğdem; Hamacher, Horst W. et al.
In: 4OR: A Quarterly Journal of Operations Research, Vol. 6, No. 3, 01.09.2008, p. 199-262.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ehrgott, M, Güler, Ç, Hamacher, HW & Shao, L 2008, 'Mathematical optimization in intensity modulated radiation therapy', 4OR: A Quarterly Journal of Operations Research, vol. 6, no. 3, pp. 199-262. https://doi.org/10.1007/s10288-008-0083-7

APA

Ehrgott, M., Güler, Ç., Hamacher, H. W., & Shao, L. (2008). Mathematical optimization in intensity modulated radiation therapy. 4OR: A Quarterly Journal of Operations Research, 6(3), 199-262. https://doi.org/10.1007/s10288-008-0083-7

Vancouver

Ehrgott M, Güler Ç, Hamacher HW, Shao L. Mathematical optimization in intensity modulated radiation therapy. 4OR: A Quarterly Journal of Operations Research. 2008 Sept 1;6(3):199-262. doi: 10.1007/s10288-008-0083-7

Author

Ehrgott, Matthias ; Güler, Çiğdem ; Hamacher, Horst W. et al. / Mathematical optimization in intensity modulated radiation therapy. In: 4OR: A Quarterly Journal of Operations Research. 2008 ; Vol. 6, No. 3. pp. 199-262.

Bibtex

@article{d74bf693314c4e3aac96d108ef84d039,
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 = "2008",
month = sep,
day = "1",
doi = "10.1007/s10288-008-0083-7",
language = "English",
volume = "6",
pages = "199--262",
journal = "4OR: A Quarterly Journal of Operations Research",
issn = "1619-4500",
publisher = "Springer Verlag",
number = "3",

}

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 - 2008/9/1

Y1 - 2008/9/1

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/s10288-008-0083-7

DO - 10.1007/s10288-008-0083-7

M3 - Journal article

VL - 6

SP - 199

EP - 262

JO - 4OR: A Quarterly Journal of Operations Research

JF - 4OR: A Quarterly Journal of Operations Research

SN - 1619-4500

IS - 3

ER -