Advances in materials Research

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Nonlocal heat conduction approach in biological tissue generated by laser irradiation

  • Abbas, Ibrahim A. (Department of Mathematics, Faculty of Science, Sohag University) ;
  • Abdalla, Aboelnour (Department of Mathematics, Faculty of Science, Sohag University) ;
  • Sapoor, Hussien (Department of Mathematics, Faculty of Science, Sohag University)
  • Received : 2021.07.23
  • Accepted : 2021.12.05
  • Published : 2022.06.25
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Abstract

A novel nonlocal model with one thermal relaxation time is presented to investigates the thermal damages and the temperature in biological tissues generated by laser irradiations. To obtain these models, we used the theory of the non-local continuum proposed by Eringen. The thermal damages to the tissues are assessed completely by the denatured protein ranges using the formulations of Arrhenius. Numerical results for temperature and the thermal damage are graphically presented. The effects nonlocal parameters and the relaxation time on the distributions of physical fields for biological tissues are shown graphically and discussed.

Keywords

Acknowledgement

This work was funded by the Academy of Scientific Research and Technology, Egypt, under Science UP grant No. (6513). The authors, therefore, acknowledge with thanks the Academy of Scientific Research and Technology for financial support.

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