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Advances in Materials Research Volume 11, Number 2, June 2022 , pages 111-120 DOI: https://doi.org/10.12989/amr.2022.11.2.111 |
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Nonlocal heat conduction approach in biological tissue generated by laser irradiation |
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Ibrahim A. Abbas, Aboelnour Abdalla and Hussien Sapoor
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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. | ||
| Key Words | ||
| bioheat transfer; laplace transform; living tissues; nonlocal thermoelastic model; thermal relaxation time | ||
| Address | ||
| (1) Ibrahim A. Abbas, Aboelnour Abdalla, Hussien Sapoor: Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt; (2) Ibrahim A. Abbas: Nonlinear Analysis and Applied Mathematics Research Group (NAAM), Mathematics Department, King Abdulaziz University, Jeddah, Saudi Arabia. | ||
