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A parametric approach for radiation therapy planning | ||
| AUT Journal of Mathematics and Computing | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 خرداد 1404 | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23285.1248 | ||
| نویسندگان | ||
| Seyyedeh Mahshad Mirhadi؛ Seyyed Ali MirHassani* | ||
| Department of Mathematics and Computer Science, Amirkabir University of Technology (Tehran Polytechnic), Iran | ||
| چکیده | ||
| Intensity Modulated Radiation Therapy (IMRT) is a well-known technique of radiation therapy for treating cancer patients. Increasing the number of beam angles in IMRT leads to longer treatment plan time and, sub-sequentially, the possibility of patient movement, disturbing the plan. Then, a treatment plan is admirable if it contains a small number of beam angles among candidate beams that can provide the desired dose. This paper proposes a new sparse optimization problem to choose the minimum number of angles to provide a treatment plan with desirable quality. Since the model is not tractable in real-life cases, by converting the optimization problem to a linear fractional problem, we develop a novel iterative approach to find the optimal solution. The performance of the proposed method is evaluated by solving the problem for some cases of real data sets of liver cancer from the TROTS data set. The results show the computational advantage of the iterative proposed method, which significantly saves time compared to exact methods and provides an optimal set of beam angles that attain lower deviation doses. | ||
| کلیدواژهها | ||
| Intensity-modulated radiation therapy (IMRT)؛ Mixed integer programming؛ Cardinality minimization problem؛ Parametric linear programming approach | ||
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آمار تعداد مشاهده مقاله: 189 |
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