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The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation

by Hobiny, Aatef , Marin, Marin , Abbas, Ibrahim , Alzahrani, Faris

in Boundary conditions / Conduction heating / Conductive heat transfer / Exact solutions / Heat transfer / Hyperthermia / Investigations / Laplace transforms / Lasers / Metabolism / Parametric analysis / Radiation damage / Relaxation time / Stress analysis / Thermal relaxation

2020

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The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation

by Hobiny, Aatef , Marin, Marin , Abbas, Ibrahim , Alzahrani, Faris

2020

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The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation

by Hobiny, Aatef , Marin, Marin , Abbas, Ibrahim , Alzahrani, Faris

2020

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Journal Article

The Effect of Fractional Time Derivative of Bioheat Model in Skin Tissue Induced to Laser Irradiation

Hobiny, Aatef,

Marin, Marin,

Abbas, Ibrahim,

Alzahrani, Faris

2020

Overview

This work uses the “fractional order bio-heat model” (Fob) model of heat conduction to offer a new interpretation to study the thermal damages in a skin tissue caused by laser irradiation. The influences of fractional order and the thermal relaxation time parameters on the temperature of skin tissue and the resulting thermal damage are studied. In the Laplace domain, the analytical solutions of temperature are obtained. Using the equation of Arrhenius, the resulting thermal injury to the tissues is assessed by the denatured protein ranges. The numerical results of the thermal damages and temperature are presented graphically. A parametric analysis is dedicated to the identifications of suitable procedures for the selection of significant design variables to achieve an effective thermal in the therapy of hyperthermia.

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Publisher

MDPI AG

Subject

Boundary conditions

/ Conduction heating

/ Conductive heat transfer