Journal
SYMMETRY-BASEL
Volume 12, Issue 4, Pages -Publisher
MDPI
DOI: 10.3390/sym12040602
Keywords
fractional derivative; skin tissues; thermal damages; Laplace transforms
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Funding
- King Abdulaziz University, Jeddah, Saudi Arabia [KEP-72-130-38]
- DSR
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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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