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ID 109514
タイトル別表記
強度変調放射線治療計画の線量体積制約に基づく最適化
著者
田中, 義浩 徳島大学大学院保健科学教育部(保健学専攻)
藤本, 憲市 The University of Tokushima KAKEN研究者をさがす
キーワード
intensity-modulated radiation therapy treatment planning
dose-volume constraints
dose-volume constrained optimization
inverse problem
stability of solution
資料タイプ
学位論文
抄録
We present a novel optimization method to handle dose-volume constraints (DVCs) directly in intensity-modulated radiation therapy (IMRT) treatment planning based on the idea of continuous dynamical methods. Most of the conventional methods are constructed for solving inconsistent inverse problems with, e.g., dose-volume based objective functions, and one expects to obtain a feasible solution that minimally violates the DVCs. We introduce the concept of ‘acceptable’, meaning that there exists a nonempty set of radiation beam weights satisfying the given DVCs, and we resolve the issue that the objective and evaluation are different in the conventional planning approach. We apply the initial-value problem of the proposed dynamical system to an acceptable and inconsistent inverse problem and prove that the convergence to an equilibrium in the acceptable set of solutions is theoretically guaranteed by using the Lyapunov theorem. Indeed, we confirmed that we can obtain acceptable beam weights through numerical experiments using phantom data simulating a clinical setup for an acceptable and inconsistent IMRT planning system.
掲載誌名
Journal of Inequalities and Applications
ISSN
1029242X
出版者
Springer nature
2015
開始ページ
122
発行日
2015-04-08
備考
内容要旨・審査要旨・論文本文の公開:
内容要旨 : LID201510281017.pdf
審査要旨 : LID201510281018.pdf
論文本文 : LID201510281019.pdf
本論文は, 著者Yoshihiro Tanakaの学位論文として提出され, 学位審査・授与の対象となっている。
権利情報
© 2015 Tanaka et al.; licensee Springer.
Open Access This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited.
EDB ID
出版社版DOI
出版社版URL
フルテキストファイル
言語
eng
著者版フラグ
博士論文全文を含む
文科省報告番号
甲第2885号
学位記番号
甲保第17号
学位授与年月日
2015-10-15
学位名
博士(保健学)
学位授与機関
徳島大学
部局
医学系