A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers*
The study of clinical observations in the family planning of intensity-modulated radiation therapy (IMRT), indicates that the target dose prescribed within the framework of trapezoidal fuzzy numbers, more closely matches the oncologist's goals. In this study, optimal treatment planning was desc...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | fas |
| Published: |
Shahid Chamran University of Ahvaz
2024-02-01
|
| Series: | مدلسازی پیشرفته ریاضی |
| Subjects: | |
| Online Access: | https://jamm.scu.ac.ir/article_19059_61030346bb0faa11484b6c26fa98572b.pdf |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850063829921169408 |
|---|---|
| author | ام البنین بزرگ علیرضا فخارزاده جهرمی علی دلاور خلفی |
| author_facet | ام البنین بزرگ علیرضا فخارزاده جهرمی علی دلاور خلفی |
| author_sort | ام البنین بزرگ |
| collection | DOAJ |
| description | The study of clinical observations in the family planning of intensity-modulated radiation therapy (IMRT), indicates that the target dose prescribed within the framework of trapezoidal fuzzy numbers, more closely matches the oncologist's goals. In this study, optimal treatment planning was described as a solution of an optimization problem using a quadratic objective function, where the prescribed target dose is a trapezoidal fuzzy number. First the problem was transformed into a non-fuzzy optimization problem, then the optimal solution was obtained based on the gradient method and projection operations. In this paper, we used Computational Entertainment for Radiotherapy Research (CERR) for treatment planning, importing the patient scans, and calculating the influence matrix. Numerical simulation was performed for a head and neck cancer case. Numerical results were presented in the form of Dose-Volume Histograms (DVH) and compared with the deterministic state. These results showed that the treatment planning that we provided based on the trapezoidal fuzzy target dose, is more consistent with the goals of oncologists. |
| format | Article |
| id | doaj-art-e6673df4d35a4f86b101f83027ac277b |
| institution | DOAJ |
| issn | 2251-8088 2645-6141 |
| language | fas |
| publishDate | 2024-02-01 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | Article |
| series | مدلسازی پیشرفته ریاضی |
| spelling | doaj-art-e6673df4d35a4f86b101f83027ac277b2025-08-20T02:49:29ZfasShahid Chamran University of Ahvazمدلسازی پیشرفته ریاضی2251-80882645-61412024-02-0113(English)4869810.22055/jamm.2024.45670.224319059A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers*ام البنین بزرگ0علیرضا فخارزاده جهرمی1علی دلاور خلفی2گروه ریاضی کاربردی، دانشکده علوم،دانشگاه یزد، یزد، ایراندانشگاه صنعتی شیرازگروه ریاضی کاربردی، دانشکده علوم،دانشگاه یزد، یزد، ایرانThe study of clinical observations in the family planning of intensity-modulated radiation therapy (IMRT), indicates that the target dose prescribed within the framework of trapezoidal fuzzy numbers, more closely matches the oncologist's goals. In this study, optimal treatment planning was described as a solution of an optimization problem using a quadratic objective function, where the prescribed target dose is a trapezoidal fuzzy number. First the problem was transformed into a non-fuzzy optimization problem, then the optimal solution was obtained based on the gradient method and projection operations. In this paper, we used Computational Entertainment for Radiotherapy Research (CERR) for treatment planning, importing the patient scans, and calculating the influence matrix. Numerical simulation was performed for a head and neck cancer case. Numerical results were presented in the form of Dose-Volume Histograms (DVH) and compared with the deterministic state. These results showed that the treatment planning that we provided based on the trapezoidal fuzzy target dose, is more consistent with the goals of oncologists.https://jamm.scu.ac.ir/article_19059_61030346bb0faa11484b6c26fa98572b.pdfimrtdvctrapezoidal fuzzy numbercerrsensitivity-driven greedy algorithm |
| spellingShingle | ام البنین بزرگ علیرضا فخارزاده جهرمی علی دلاور خلفی A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers* مدلسازی پیشرفته ریاضی imrt dvc trapezoidal fuzzy number cerr sensitivity-driven greedy algorithm |
| title | A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers* |
| title_full | A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers* |
| title_fullStr | A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers* |
| title_full_unstemmed | A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers* |
| title_short | A fluence map optimization in IMRT for head and neck cancer based on trapezoidal fuzzy numbers* |
| title_sort | fluence map optimization in imrt for head and neck cancer based on trapezoidal fuzzy numbers |
| topic | imrt dvc trapezoidal fuzzy number cerr sensitivity-driven greedy algorithm |
| url | https://jamm.scu.ac.ir/article_19059_61030346bb0faa11484b6c26fa98572b.pdf |
| work_keys_str_mv | AT ạmạlbnynbzrg afluencemapoptimizationinimrtforheadandneckcancerbasedontrapezoidalfuzzynumbers AT ʿlyrḍạfkẖạrzạdhjhrmy afluencemapoptimizationinimrtforheadandneckcancerbasedontrapezoidalfuzzynumbers AT ʿlydlạwrkẖlfy afluencemapoptimizationinimrtforheadandneckcancerbasedontrapezoidalfuzzynumbers AT ạmạlbnynbzrg fluencemapoptimizationinimrtforheadandneckcancerbasedontrapezoidalfuzzynumbers AT ʿlyrḍạfkẖạrzạdhjhrmy fluencemapoptimizationinimrtforheadandneckcancerbasedontrapezoidalfuzzynumbers AT ʿlydlạwrkẖlfy fluencemapoptimizationinimrtforheadandneckcancerbasedontrapezoidalfuzzynumbers |