title: Tissue responses to fractional transient heating with sinusoidal heat flux condition on skin surface.
abstract: A fractional model of Bioheat equation for describing quantitatively the thermal responses of skin tissue under sinusoidal heat flux conditions on skin surface is given. Laplace transform technique is used to obtain the solution in a closed form. The resulting formulation is applied to one-dimensional application to investigate the temperature distribution in skin with instantaneous surface heating for different cases. According to the numerical results and its graphs, conclusion about the fractional bioheat transfer equation has been constructed. Sensitivity analysis is performed to explore the thermal effects of various control parameters on tissue temperature. The comparisons are made with the results obtained in the case of the absence of time-fractional order. © 2016 Japanese Society of Animal Science.
authors.affiliation: Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt. maezzat2000@yahoo.com.
authors.forename: Magdy A
authors.initials: MA
authors.lastname: Ezzat
authors.affiliation: Arab Academy of Science and Technology, Alexandria, Egypt.
authors.forename: Alaa A
authors.initials: AA
authors.lastname: El-Bary
authors.affiliation: Department of Biology, Faculty of Science, Buraydah, Qassim University, Saudi Arabia.
authors.forename: Noorah S
authors.initials: NS
authors.lastname: Al-Sowayan
mesh_terms: D001833:Body Temperature Regulation / Q000502:physiology*; D006358:Hot Temperature; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D012879:Skin Physiological Phenomena; D013814:Thermal Conductivity
keywords: Laplace transforms; Pennes’ equation; bioheat transfer; fractional Taylor-Riemann series; fractional calculus; sinusoidal heat flux