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Numerical investigation of thermal behavior in hyperthermia treatment | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 21 مرداد 1405 اصل مقاله (1.28 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.62667.2775 | ||
| نویسندگان | ||
| Swarn Singh* 1؛ Suruchi Singh2؛ Asha Kumari3 | ||
| 1Department of Mathematics, Sri Venkateswara College, University of Delhi, Delhi 110021, India. | ||
| 2Department of Mathematics, Aditi Mahavidyalaya, University of Delhi, Delhi 110039, India. | ||
| 3Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi 110007, India. | ||
| چکیده | ||
| Cancer is a life-threatening disease. Hyperthermia is one of the medical therapies used to treat cancer. Understanding and accurately predicting the pattern of temperature in biological tissues during hyperthermia treatment is crucial. The heat transfer is mathematically simulated by Penne’s bioheat transfer equation (PBHTE). In this paper, we provide a high-order numerical solution to Penne’s bioheat transfer equation. We have also solved some examples for which the analytical solution was known to check the accuracy and order of the numerical method. We applied the method to study the temperature pattern in a biological tissue which is divided into two parts. The first part represents the diseased tissue where heat is generated during hyperthermia treatment. The second part represents the healthy tissue. We examined the behavior of temperature with constant and variable heat generation due to an external heat source. The effect of blood perfusion on temperature patterns is also studied. | ||
| کلیدواژه‌ها | ||
| hyperthermia؛ Penne’s bioheat equation؛ interface | ||
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آمار تعداد مشاهده مقاله: 59 تعداد دریافت فایل اصل مقاله: 63 |
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