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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-2pp.1047-1059

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Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, and Areej Almuneef, "A Study of Thermal Damages in Living Tissue Based on Nonequilibrium Bioheat Transfer Due to Laser Irradiation," Mech. Solids. 60 (2), 1047-1059 (2025)
Year 2025 Volume 60 Number 2 Pages 1047-1059
DOI 10.1134/S0025654424606876
Title A Study of Thermal Damages in Living Tissue Based on Nonequilibrium Bioheat Transfer Due to Laser Irradiation
Author(s) Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, zumalqahtani@pnu.edu.sa)
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, ibrabbas7@science.sohag.edu.eg)
Alaa A. El-Bary (Institute of Basic and Appl. Science, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt, aaelbary@aast.edu)
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, aaalmuneef@pnu.edu.sa)
Abstract The dual-phase lag (DPL) hypothesis, which takes into consideration nonequilibrium heat transport in live tissue when it is subjected to laser irradiation, is the subject of this work, which gives mathematical solutions for the hypothesis. Achieving this resolution involves volume averaging on the local instantaneous energy formulations pertaining to tissues and blood. Analytical solutions are obtained in the Laplace domain. The extent of thermal injury to the tissues is evaluated by determining the range of denatured proteins, employing the Arrhenius formulations. Comparing the analytical solution with experimental and numerical data validates its correctness. The findings show that under zero delay times for both, the generalized DPL theory is equivalent to the Pennes bioheat theory. Moreover, the validation of the mathematical model’s efficacy in assessing bioheat in living tissue is confirmed through a comparison with existing experimental studies.
Keywords laplace transform, thermal damage, laser irradiation, local thermal non-equilibrium, bioheat transfer
Received 05 December 2024Revised 24 January 2025Accepted 25 January 2025
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