number of access : ?
number of downloads : ?
ID 109514
Title Alternative
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
Author
Tanaka, Yoshihiro The University of Tokushima
Fujimoto, Ken'ichi The University of Tokushima KAKEN Search Researchers
Keywords
intensity-modulated radiation therapy treatment planning
dose-volume constraints
dose-volume constrained optimization
inverse problem
stability of solution
Content Type
Thesis or Dissertation
Description
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.
Journal Title
Journal of Inequalities and Applications
ISSN
1029242X
Publisher
Springer nature
Volume
2015
Start Page
122
Published Date
2015-04-08
Remark
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。
Rights
© 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
DOI (Published Version)
URL ( Publisher's Version )
FullText File
language
eng
TextVersion
ETD
MEXT report number
甲第2885号
Diploma Number
甲保第17号
Granted Date
2015-10-15
Degree Name
Doctor of Health Science
Grantor
Tokushima University
departments
Medical Sciences