Analytical estimations of temperature in a living tissue generated by laser irradiation using experimental data

Faris S Alzahrani; Ibrahim A Abbas

doi:10.1016/j.jtherbio.2019.102421

Analytical estimations of temperature in a living tissue generated by laser irradiation using experimental data

J Therm Biol. 2019 Oct:85:102421. doi: 10.1016/j.jtherbio.2019.102421. Epub 2019 Sep 20.

Authors

Faris S Alzahrani¹, Ibrahim A Abbas²

Affiliations

¹ Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia. Electronic address: falzahrani1@kau.edu.sa.
² Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia; Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

PMID: 31657762
DOI: 10.1016/j.jtherbio.2019.102421

Abstract

This paper presents an analytical approach associated with Laplace transformation, experimental temperature data, and a sequential concept over time to obtain the thermal damage and the temperature in a living tissue due to laser irradiation. The analytical solutions in the Laplace domain are appreciably obtainable. The thermal damage to the tissue is completely assessed by the denatured protein range using the formulation of Arrhenius. Numerical outcomes for temperatures and the thermal damages are graphically introduced. Besides, the comparison between the numerical computations and the existing experimental study shows that a current mathematical model is an effective tool for evaluating the biological heat transfer in biological tissues.

Keywords: Bioheat transfer; Laplace transform; Living tissue; Thermal damage.

MeSH terms

Hot Temperature*
Lasers*
Models, Biological*
Protein Denaturation
Skin Physiological Phenomena*
Thermal Conductivity