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Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification

Author

Listed:
  • Aatef Hobiny

    (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah 21521, Saudi Arabia)

  • Faris Alzahrani

    (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah 21521, Saudi Arabia)

  • Ibrahim Abbas

    (Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Department of Mathematics, King Abdulaziz University, Jeddah 21521, Saudi Arabia
    Department of mathematics, Faculty of Science, Sohag University, Sohag 82524, Egypt)

Abstract

The aim of this study is to propose the analytical method associated with Laplace transforms and experimental verification to estimate thermal damages and temperature due to laser irradiation by utilizing measurement information of skin surface. The thermal damages to the tissues are totally estimated by denatured protein ranges using the formulations of Arrhenius. By using Laplace transformations, the exact solution of all physical variables is obtained. Numerical results for the temperature and thermal damage are presented graphically. Furthermore, the comparisons between the numerical calculations with experimental verification show that the three-phase lag bioheat mathematical model is an efficient tool for estimating the bioheat transfer in skin tissue.

Suggested Citation

  • Aatef Hobiny & Faris Alzahrani & Ibrahim Abbas, 2020. "Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification," Mathematics, MDPI, vol. 8(7), pages 1-11, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1188-:d:386771
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