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Analyzing Drug Therapy on the Interaction Between Tumor and Immune Cells Based on Optimal Fractional Control Theory | ||
| Control and Optimization in Applied Mathematics | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 03 اسفند 1403 اصل مقاله (489.65 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.30473/coam.2025.72347.1263 | ||
| نویسندگان | ||
| Alireza Fakharzadeh Jahromi* 1؛ Mahin Azizi Karachi2؛ Hajar Alimorad3 | ||
| 1Faculty of Mathematics, Shiraz University of Technology, Shiraz, Iran. | ||
| 2ABlauw-roodlaan 15, 2718 JN, Zoetermeer, Netherlands. | ||
| 3Department of Mathematics, Jahrom University, Iran. | ||
| چکیده | ||
| Cancer is a class of diseases characterized by uncontrolled cell growth that affects immune cells. There are several treatment options available, including surgery, chemotherapy, hormonal therapy, radiation therapy, targeted therapy, and palliative care. Among these, chemotherapy is one of the most widely used and recognized methods. This paper presents a novel model designed to control cancer cell growth based on a system of nonlinear fractional differential equations with delay in chemotherapy. The model focuses on the competition between tumor and immune cells to minimize the number of tumor cells and determine the optimal dosage of the administered drug. It can simulate various scenarios and predict the outcomes of different chemotherapy regimens. By employing discretization and the Grunwald-Letnikov method, we aim to gain insights into why some patients respond well to chemotherapy while others do not. The results may also help identify potential drug targets and optimize existing treatments. | ||
تازه های تحقیق | ||
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| کلیدواژه‌ها | ||
| Growth process؛ Grunwald-Letnikov method؛ Immune cells؛ Optimal fractional control theory؛ Tumor | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 29 تعداد دریافت فایل اصل مقاله: 42 |
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