Analytical solutions for nonequilibrium bioheat transfer in tumor during magnetic nanoparticles hyperthermia-Reference-Cited by-同舟云学术

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

Published:2024-07-23 Issue: Volume: Page:
ISSN:0340-0204
Container-title:Journal of Non-Equilibrium Thermodynamics
language:en
Short-container-title:

Author:

Alqahtani Zuhur¹,Abbas Ibrahim²

Affiliation:

1. Department of Mathematical Sciences, College of Science , Princess Nourah bint Abdulrahman University , P.O. Box 84428 , Riyadh 11671 , Saudi Arabia

2. Mathematics Department, Faculty of Science , 68889 Sohag University , Sohag , Egypt

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jnet-2024-0035/pdf

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