Efficient operator‐splitting minimax algorithm for robust optimization

Background The treatment uncertainties such as patient positioning can significantly affect the accuracy of proton radiation therapy (RT). Robust optimization can account for these uncertainties during treatment planning, for which the minimax approach optimizes the worst‐case plan quality. Purpose...

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Vydané v:Medical physics (Lancaster) Ročník 52; číslo 7; s. e17929 - n/a
Hlavní autori: Liu, Jiulong, Zhu, Ya‐Nan, Zhang, Xiaoqun, Gao, Hao
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: United States 01.07.2025
Predmet:
Algorithms
Humans
IMPT
Prostatic Neoplasms - radiotherapy
Proton Therapy
Radiotherapy Dosage
Radiotherapy Planning, Computer-Assisted - methods
robust optimization
proton therapy
IMPT
robust optimization
ISSN:0094-2405, 2473-4209, 2473-4209
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Shrnutí:Background The treatment uncertainties such as patient positioning can significantly affect the accuracy of proton radiation therapy (RT). Robust optimization can account for these uncertainties during treatment planning, for which the minimax approach optimizes the worst‐case plan quality. Purpose This work will develop an efficient minimax robust optimization algorithm for improving plan quality and computational efficiency. Methods The proposed method reformulates the minimax problem so that it can be conveniently solved by the first‐order operator‐splitting algorithm (OS). That is, the reformulated problem is split into several subproblems, which either admit a closed‐form solution or can be efficiently solved as a linear system. Results The proposed method OS was demonstrated with improved plan quality, robustness, and computational efficiency, compared to robust optimization via stochastic programming (SP) and current minimax robust method via minimax stochastic programming (MSP). For example, in a prostate case, compared to MSP and SP, OS decreased the max target dose from 140% and 121% to 118%, and the mean femoral head dose from 28.6% and 26.3% to 24.8%. In terms of robustness, OS reduced the robustness variance (RV120) of the target from 56.07 and 0.30 to 0.04. Compared to MSP, OS decreased the computational time from 16.4 min to 1.7 min. Conclusions A novel operator‐splitting minimax robust optimization is proposed with improved plan quality and computational efficiency, compared to conventional minimax robust optimization method MSP and probabilistic robust optimization method SP.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:0094-2405
2473-4209
2473-4209
DOI:10.1002/mp.17929