Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers
PurposeThis study develop a novel linear energy transfer (LET) optimization method for intensity-modulated proton therapy (IMPT) with minimum monitor unit (MMU) constraint using the alternating direction method of multipliers (ADMM).Material and methodsThe novel LET optimization method (ADMM-LET) wa...
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| Format: | Article |
| Language: | English |
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Frontiers Media S.A.
2024-02-01
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| Series: | Frontiers in Oncology |
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| Online Access: | https://www.frontiersin.org/articles/10.3389/fonc.2024.1328147/full |
| _version_ | 1797293057029177344 |
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| author | Qingkun Fan Xiaoyuan Zhang Riao Dao Yujia Qian Lewei Zhao Xiaoqiang Li Xuanfeng Ding Gang Liu Gang Liu Shuyang Dai Shuyang Dai |
| author_facet | Qingkun Fan Xiaoyuan Zhang Riao Dao Yujia Qian Lewei Zhao Xiaoqiang Li Xuanfeng Ding Gang Liu Gang Liu Shuyang Dai Shuyang Dai |
| author_sort | Qingkun Fan |
| collection | DOAJ |
| description | PurposeThis study develop a novel linear energy transfer (LET) optimization method for intensity-modulated proton therapy (IMPT) with minimum monitor unit (MMU) constraint using the alternating direction method of multipliers (ADMM).Material and methodsThe novel LET optimization method (ADMM-LET) was proposed with (1) the dose objective and the LET objective as the optimization objective and (2) the non-convex MMU threshold as a constraint condition. ADMM was used to solve the optimization problem. In the ADMM-LET framework, the optimization process entails iteratively solving the dose sub-problem and the LET sub-problem, simultaneously ensuring compliance with the MMU constraint. Three representative cases, including brain, liver, and prostate cancer, were utilized to evaluate the performance of the proposed method. The dose and LET distributions from ADMM-LET were compared to those obtained using the published iterative convex relaxation (ICR-LET) method.ResultsThe results demonstrate the superiority of ADMM-LET over ICR-LET in terms of LET distribution while achieving a comparable dose distribution. More specifically, for the brain case, the maximum LET (unit: keV/µm) at the optic nerve decreased from 5.45 (ICR-LET) to 1.97 (ADMM-LET). For the liver case, the mean LET (unit: keV/µm) at the clinical target volume increased from 4.98 (ICR-LET) to 5.50 (ADMM-LET). For the prostate case, the mean LET (unit: keV/µm) at the rectum decreased from 2.65 (ICR-LET) to 2.14 (ADMM-LET).ConclusionThis study establishes ADMM-LET as a new approach for LET optimization with the MMU constraint in IMPT, offering potential improvements in treatment outcomes and biological effects. |
| first_indexed | 2024-03-07T20:08:20Z |
| format | Article |
| id | doaj.art-c9fbf1d668b54c8db23b0f7df0019349 |
| institution | Directory Open Access Journal |
| issn | 2234-943X |
| language | English |
| last_indexed | 2024-03-07T20:08:20Z |
| publishDate | 2024-02-01 |
| publisher | Frontiers Media S.A. |
| record_format | Article |
| series | Frontiers in Oncology |
| spelling | doaj.art-c9fbf1d668b54c8db23b0f7df00193492024-02-28T04:46:10ZengFrontiers Media S.A.Frontiers in Oncology2234-943X2024-02-011410.3389/fonc.2024.13281471328147Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliersQingkun Fan0Xiaoyuan Zhang1Riao Dao2Yujia Qian3Lewei Zhao4Xiaoqiang Li5Xuanfeng Ding6Gang Liu7Gang Liu8Shuyang Dai9Shuyang Dai10School of Mathematics and Statistics, Wuhan University, Wuhan, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan, ChinaSchool of Physics and Technology, Wuhan University, Wuhan, ChinaSchool of Physics and Technology, Wuhan University, Wuhan, ChinaDepartment of Radiation Oncology, Corewell Health William Beaumont University Hospital, Royal Oak, MI, United StatesDepartment of Radiation Oncology, Corewell Health William Beaumont University Hospital, Royal Oak, MI, United StatesDepartment of Radiation Oncology, Corewell Health William Beaumont University Hospital, Royal Oak, MI, United StatesCancer Center, Union Hospital, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, ChinaHubei Key Laboratory of Precision Radiation Oncology, Union Hospital, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, ChinaSchool of Mathematics and Statistics, Wuhan University, Wuhan, ChinaHubei Key Laboratory of Precision Radiation Oncology, Union Hospital, Tongji Medical College, Huazhong University of Science and Technology, Wuhan, ChinaPurposeThis study develop a novel linear energy transfer (LET) optimization method for intensity-modulated proton therapy (IMPT) with minimum monitor unit (MMU) constraint using the alternating direction method of multipliers (ADMM).Material and methodsThe novel LET optimization method (ADMM-LET) was proposed with (1) the dose objective and the LET objective as the optimization objective and (2) the non-convex MMU threshold as a constraint condition. ADMM was used to solve the optimization problem. In the ADMM-LET framework, the optimization process entails iteratively solving the dose sub-problem and the LET sub-problem, simultaneously ensuring compliance with the MMU constraint. Three representative cases, including brain, liver, and prostate cancer, were utilized to evaluate the performance of the proposed method. The dose and LET distributions from ADMM-LET were compared to those obtained using the published iterative convex relaxation (ICR-LET) method.ResultsThe results demonstrate the superiority of ADMM-LET over ICR-LET in terms of LET distribution while achieving a comparable dose distribution. More specifically, for the brain case, the maximum LET (unit: keV/µm) at the optic nerve decreased from 5.45 (ICR-LET) to 1.97 (ADMM-LET). For the liver case, the mean LET (unit: keV/µm) at the clinical target volume increased from 4.98 (ICR-LET) to 5.50 (ADMM-LET). For the prostate case, the mean LET (unit: keV/µm) at the rectum decreased from 2.65 (ICR-LET) to 2.14 (ADMM-LET).ConclusionThis study establishes ADMM-LET as a new approach for LET optimization with the MMU constraint in IMPT, offering potential improvements in treatment outcomes and biological effects.https://www.frontiersin.org/articles/10.3389/fonc.2024.1328147/fullintensity-modulated proton therapy (IMPT)relative biological effectiveness (RBE)linear energy transfer (LET)treatment planningalternating direction method of multipliers (ADMM) |
| spellingShingle | Qingkun Fan Xiaoyuan Zhang Riao Dao Yujia Qian Lewei Zhao Xiaoqiang Li Xuanfeng Ding Gang Liu Gang Liu Shuyang Dai Shuyang Dai Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers Frontiers in Oncology intensity-modulated proton therapy (IMPT) relative biological effectiveness (RBE) linear energy transfer (LET) treatment planning alternating direction method of multipliers (ADMM) |
| title | Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers |
| title_full | Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers |
| title_fullStr | Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers |
| title_full_unstemmed | Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers |
| title_short | Optimizing linear energy transfer distribution in intensity-modulated proton therapy using the alternating direction method of multipliers |
| title_sort | optimizing linear energy transfer distribution in intensity modulated proton therapy using the alternating direction method of multipliers |
| topic | intensity-modulated proton therapy (IMPT) relative biological effectiveness (RBE) linear energy transfer (LET) treatment planning alternating direction method of multipliers (ADMM) |
| url | https://www.frontiersin.org/articles/10.3389/fonc.2024.1328147/full |
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