Skin tissue responses to transient heating with memory-dependent derivative

Abdulhakim Bawadekji; Magdy M Amin; Magdy A Ezzat

doi:10.1016/j.jtherbio.2019.102427

Skin tissue responses to transient heating with memory-dependent derivative

J Therm Biol. 2019 Dec:86:102427. doi: 10.1016/j.jtherbio.2019.102427. Epub 2019 Oct 14.

Authors

Abdulhakim Bawadekji¹, Magdy M Amin², Magdy A Ezzat³

Affiliations

¹ Department of Biological Sciences, College of Science, Northern Border University, P. O. Box 1321, Arar, 91431, Saudi Arabia.
² Department of Mathematics, College of Science, Northern Border University, P.O.Box 1321, Arar, 91431, Saudi Arabia.
³ Department of Mathematics, Faculty of Education, Alexandria University, Alexandria, Egypt. Electronic address: maezzat2000@yahoo.com.

PMID: 31789241
DOI: 10.1016/j.jtherbio.2019.102427

Abstract

In this work, the new concept of "memory dependent derivative" in the Pennes' bio-heat transfer process of skin tissues is employed to investigate the one-dimensional problem of a skin tissue under sinusoidal heat flux conditions. Laplace transform technique is utilized to solve the problem. We investigate, numerically, the bio-heat transfer equation with memory-dependent derivative to find the effect on the tissue temperature of the kernel function and the time-delay parameter which are characteristic of memory dependent derivative heat transfer. Correlations are made with the results obtained in the case of the absence of memory-dependent derivative parameters. The effects of the time-delay on the temperature distribution in skin tissue for different forms of kernel functions are examined.

Keywords: Bio-heat transfer; Laplace transform; Memory–dependent derivative; Pennes' equation; Sinusoidal heat flux.

MeSH terms

Algorithms
Hot Temperature
Humans
Models, Biological*
Skin Temperature*
Thermal Conductivity*
Time Factors