Startseite Technik Analytical solutions for nonequilibrium bioheat transfer in tumor during magnetic nanoparticles hyperthermia
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Analytical solutions for nonequilibrium bioheat transfer in tumor during magnetic nanoparticles hyperthermia

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Veröffentlicht/Copyright: 23. Juli 2024
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Abstract

This paper presents mathematical responses for the dual-phase-lag (DPL) hypothesis, which accounts for nonequilibrium heat transfer during magnetic nanoparticle hyperthermia in tumor. To get this precision, volume averaging is used for the local instantaneous energy formulation for tissues and blood. This study proposes a hybrid numerical strategy to solve this problem by combining change of variables, improved discretization techniques, and Laplace transforms. Using the Arrhenius formulas, the range of denatured proteins is used to assess the degree of heat damages to the tumor and healthy tissues. The impacts of porosity, the blood perfusion and metabolism on the temperature and the thermal injuries are studied. The numerical estimations of temperature and the resulting of thermal injuries are shown on a graph, and a comparison with earlier research establishes the results’ validity.


Corresponding author: Ibrahim Abbas, Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, E-mail: 

Acknowledgments

Princess Nourah bint Abdulrahman University Researchers Supporting Project number (PNURSP2024R518), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia.

  1. Research ethics: Not applicable.

  2. Author contributions: The authors have accepted responsibility for the entire content of this manuscript and approved its submission.

  3. Competing interests: The authors state no conflict of interest.

  4. Research funding: None declared.

  5. Data availability: The raw data can be obtained on request from the corresponding author.

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Received: 2024-04-30
Accepted: 2024-07-08
Published Online: 2024-07-23
Published in Print: 2024-10-28

© 2024 Walter de Gruyter GmbH, Berlin/Boston

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