 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
|
| In English (Mech. Solids): | | 5065 |
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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 2024 | Revised |
24 January 2025 | Accepted |
25 January 2025 |
| Link to Fulltext |
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