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Variable Dose-Constraints Method for Enhancing Intensity-Modulated Radiation Therapy Treatment Planning
https://tokushima-u.repo.nii.ac.jp/records/2013203
https://tokushima-u.repo.nii.ac.jp/records/2013203f2616bbc-083d-4b10-b5e5-643561146996
| 名前 / ファイル | ライセンス | アクション |
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mathematics_12_23_3826.pdf (806 KB)
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| Item type | 文献 / Documents(1) | |||||||||||||||||
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| 公開日 | 2025-04-23 | |||||||||||||||||
| アクセス権 | ||||||||||||||||||
| アクセス権 | open access | |||||||||||||||||
| アクセス権URI | http://purl.org/coar/access_right/c_abf2 | |||||||||||||||||
| 資源タイプ | ||||||||||||||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||||
| 資源タイプ | journal article | |||||||||||||||||
| 出版社版DOI | ||||||||||||||||||
| 関連識別子 | https://doi.org/10.3390/math12233826 | |||||||||||||||||
| 関連名称 | 10.3390/math12233826 | |||||||||||||||||
| 出版タイプ | ||||||||||||||||||
| 出版タイプ | VoR | |||||||||||||||||
| 出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||||||||||||
| タイトル | ||||||||||||||||||
| タイトル | Variable Dose-Constraints Method for Enhancing Intensity-Modulated Radiation Therapy Treatment Planning | |||||||||||||||||
| 著者 |
Obata, Norihisa
× Obata, Norihisa
× Abou Al-Ola, Omar M.
× Nakada, Ryosei
× 兒島, 雄志× 吉永, 哲哉
WEKO
1587
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| 内容記述 | The conventional approach to intensity-modulated radiation therapy treatment planning involves two distinct strategies: optimizing an evaluation function while accounting for dose constraints, and solving feasibility problems using feasibility-seeking projection methods that incorporate inequality constraints. This paper introduces a novel iterative scheme within the framework of continuous dynamical systems, wherein constraint conditions dynamically evolve to enhance the optimization process. The validity of dynamically varying dose constraints is theoretically established through the foundation of continuous-time dynamical systems theory. In particular, we formalize a system of differential equations, with both beam coefficients and dose constraints modeled as state variables. The asymptotic stability of the system’s equilibrium is rigorously proven, ensuring convergence to a solution. In practical terms, we leverage a discretized iteration formula derived from the continuous-time system to achieve rapid computational speed. The mathematical structure of the proposed approach, which directly incorporates dose-volume constraints into the objective function, facilitates significant computational efficiency and solution refinement. The proposed method has an inherent dynamics that approaches more desirable solutions within the set of solutions when the solution to the optimization problem is not an isolated point. This property guarantees the identification of optimal solutions that respect the prescribed dose-volume constraints while enhancing accuracy when such constraints are feasible. By treating dose constraints as variables and concurrently solving the optimization problem with beam coefficients, we can achieve more accurate results when compared with using fixed values for prescribed dose conditions. | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | dynamical system | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | piecewise-smooth system | |||||||||||||||||
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| 主題 | optimization | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | intensity-modulated radiation therapy | |||||||||||||||||
| キーワード | ||||||||||||||||||
| 主題 | stability of equilibrium | |||||||||||||||||
| 書誌情報 |
en : Mathematics 巻 12, 号 23, p. 3826, 発行日 2024-12-03 |
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| 収録物識別子タイプ | EISSN | |||||||||||||||||
| 収録物識別子 | 22277390 | |||||||||||||||||
| 出版者 | ||||||||||||||||||
| 出版者 | MDPI | |||||||||||||||||
| 権利情報 | ||||||||||||||||||
| 権利情報 | This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). | |||||||||||||||||
| EID | ||||||||||||||||||
| 識別子 | 415404 | |||||||||||||||||
| 言語 | ||||||||||||||||||
| 言語 | eng | |||||||||||||||||
