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      Heat Transfer in Biological Spherical Tissues during Hyperthermia of Magnetoma.

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          Abstract

          Hyperthermia therapy is now being used to treat cancer. However, understanding the pattern of temperature increase in biological tissues during hyperthermia treatment is essential. In recent years, many physicians and engineers have studied the use of computational and mathematical models of heat transfer in biological systems. The rapid progress in computing technology has intrigued many researchers. Many medical procedures also use engineering techniques and mathematical modeling to ensure their safety and assess the risks involved. One such model is the modified Pennes bioheat conduction equation. This paper provides an analytical solution to the modified Pennes bioheat conduction equation with a single relaxation time by incorporating in it the (MGT) equation. The suggested model examines heat transport in biological tissues as forming an infinite concentric spherical region during magnetic fluid hyperthermia. To investigate thermal reactions caused by temperature shock, specifically the influence of heat generation through heat treatment on a skin tumor [AEGP9], the Laplace transformation, and numerical inverse transformation methods are used. This model was able to explain the effects of different therapeutic approaches such as cryotherapy sessions, laser therapy, and physical occurrences, transfer, metabolism support, and blood perfusion. Comparison of the numerical results of the suggested model with those in the literature confirmed the validity of the model's numerical results.

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          Author and article information

          Journal
          Biology (Basel)
          Biology
          MDPI AG
          2079-7737
          2079-7737
          Dec 02 2021
          : 10
          : 12
          Affiliations
          [1 ] Information Technology Department, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
          [2 ] Centre of Artificial Intelligence for Precision Medicines, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
          [3 ] Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo 11884, Egypt.
          [4 ] Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat 75911, Saudi Arabia.
          [5 ] Basic Sciences Research Unit, Jouf University, Sakaka 2014, Saudi Arabia.
          [6 ] Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt.
          [7 ] Department of Biochemistry, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
          Article
          biology10121259
          10.3390/biology10121259
          8698268
          34943174
          6fbdc039-e21d-4cf3-a963-07b47eece6c8
          History

          spherical tissues,hyperthermia,prediction,MGT Pennes equation,bioheat transfer

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