A Mathematical Study to Select Fractionation Regimen Based on Physical Dose Distribution and the Linear–Quadratic Model

Mizuta, Masahiro; Takao, Seishin; Date, Hiroyuki; Kishimoto, Naoki; Sutherland, Kenneth L.; Onimaru, Rikiya; Shirato, Hiroki

A Mathematical Study to Select Fractionation Regimen Based on Physical Dose Distribution and the Linear–Quadratic Model

Mizuta, Masahiro; Takao, Seishin; Date, Hiroyuki et al.

International Journal of Radiation Oncology, Biology, Physics, 2012, 84(3), 829-833

Permalink : https://hdl.handle.net/2115/51087

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アクセス権	open access
URI	https://hdl.handle.net/2115/51087
タイトル	A Mathematical Study to Select Fractionation Regimen Based on Physical Dose Distribution and the Linear–Quadratic Model
著者	Mizuta, Masahiro ; Takao, Seishin ; Date, Hiroyuki ; Kishimoto, Naoki ; Sutherland, Kenneth L. ; Onimaru, Rikiya ; Shirato, Hiroki
e-Rad_Researcher 70174026 著者名 Mizuta, Masahiro
e-Rad_Researcher 10614216 著者名 Takao, Seishin
e-Rad_Researcher 10197600 著者名 Date, Hiroyuki
著者名 Kishimoto, Naoki
e-Rad_Researcher 30451446 著者名 Sutherland, Kenneth L.
e-Rad_Researcher 80374461 著者名 Onimaru, Rikiya
e-Rad_Researcher 20187537 著者名 Shirato, Hiroki
言語	英語
キーワード	radiotherapy
	radiobiology
	dose fractionation
	linear-quadratic model
	hypersphere
発行日	2012-11
出版者	Elsevier
収録物名	International Journal of Radiation Oncology, Biology, Physics
巻(号)	84(3)
ページ	829-833
抄録	PURPOSE:Hypofractionated irradiation is often used in precise radiotherapy instead of conventional multifractionated irradiation. We propose a novel mathematical method for selecting a hypofractionated or multifractionated irradiation regimen based on physical dose distribution adding to biologic consideration. METHODS AND MATERIALS: The linear-quadratic model was used for the radiation effects on tumor and normal tissues, especially organs at risk (OARs). On the basis of the assumption that the OAR receives a fraction of the dose intended for the tumor, the minimization problem for the damage effect on the OAR was treated under the constraint that the radiation effect on the tumor is fixed. RESULTS: For an N-time fractionated irradiation regimen, the constraint of tumor lethality was described by an N-dimensional hypersphere. The total dose of the fractionated irradiations was considered for minimizing the damage effect on the OAR under the hypersphere condition. It was found that the advantage of hypofractionated or multifractionated irradiation therapies depends on the magnitude of the ratio of α/β parameters for the OAR and tumor in the linear-quadratic model and the ratio of the dose for the OAR and tumor. CONCLUSIONS: Our mathematical method shows that multifractionated irradiation with a constant dose is better if the ratio of α/β for the OAR and tumor is less than the ratio of the dose for the OAR and tumor, whereas hypofractionated irradiation is better otherwise.
資源タイプ	学術雑誌論文
出版タイプ	Accepted Manuscript
PISSN	0360-3016
関連情報	PMID 22417807
関連情報	URI http://www.redjournal.org/
関連情報 (isVersionOf)	出版社版DOI https://doi.org/10.1016/j.ijrobp.2012.01.004