High-order Effect in Two-Temperature Thermal Lagging to Thermal Responses in Biological Tissue Subjected to Laser Irradiation

被引:3
作者
Youssef, Hamdy M. [1 ,2 ]
Alghamdi, Najat A. [3 ]
机构
[1] Alexandria Univ, Fac Educ, Dept Math, Alexandria, Egypt
[2] Umm Al Qura Univ, Fac Engn, Mech Dept, Mecca 21955, Saudi Arabia
[3] Umm Al Qura Univ, Fac Sci, Math Dept, Mecca 21955, Saudi Arabia
关键词
Two-Temperature; Thermal Lagging; Biological Tissue; Laser Irradiation; Thermal Damage; FOURIER HEAT-CONDUCTION; STATE-SPACE APPROACH; GENERALIZED THERMOELASTICITY; SURFACE; MODEL; PROPAGATION; BEHAVIOR;
D O I
10.1166/jbt.2018.1897
中图分类号
Q813 [细胞工程];
学科分类号
摘要
In the processes of the medical treatment of the biological skin tissue, it is essential to know the evolution of thermal responses. Thus, two-temperature bio-heat transfer equations, which take into account the second-order effects in thermal lagging, was introduced and used to discuss the variation of temperature in a laser-irradiated biological tissue. Thermal damage quantity in the tissue was calculated with the rate process equation by using Arrhenius integral. The Laplace transform was employed. The numerical results have been shown in figures with some comparisons to stand on the effect of the relaxation times parameters, the power intensity of the laser irradiation, the perfusion rate of blood, and the two temperature parameter on the conductive thermal wave, the dynamical thermal wave, and the thermal damage quantity.
引用
收藏
页码:1519 / 1526
页数:8
相关论文
共 38 条
[1]  
Aschheim E, 1969, ARCH DERMATOL, V99, P784, DOI 10.1001/archderm.1969.01610240142026
[2]   Extended Irreversible Thermodynamics Versus Second Law Analysis of High-Order Dual-Phase-Lag Heat Transfer [J].
Askarizadeh, Hossein ;
Ahmadikia, Hossein .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2018, 140 (08)
[3]  
CATTANEO C, 1958, CR HEBD ACAD SCI, V247, P431
[4]   Tissue temperature oscillations in an isolated pig kidney during surface heating [J].
Chen, CY ;
Xu, LX .
ANNALS OF BIOMEDICAL ENGINEERING, 2002, 30 (09) :1162-1171
[5]   ON THERMODYNAMICS OF NON-SIMPLE ELASTIC MATERIALS WITH 2 TEMPERATURES [J].
CHEN, PJ ;
GURTIN, ME ;
WILLIAMS, WO .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1969, 20 (01) :107-&
[6]   Analysis of factors important for transurethral ultrasound prostate heating using MR temperature feedback [J].
Chopra, R ;
Wachsmuth, J ;
Burtnyk, M ;
Haider, MA ;
Bronskill, MJ .
PHYSICS IN MEDICINE AND BIOLOGY, 2006, 51 (04) :827-844
[7]   Mathematical modeling of temperature mapping over skin surface and its implementation in thermal disease diagnostics [J].
Deng, ZS ;
Liu, J .
COMPUTERS IN BIOLOGY AND MEDICINE, 2004, 34 (06) :495-521
[8]  
Herwig H, 2000, HEAT MASS TRANSFER, V36, P387, DOI 10.1007/s002310000081
[9]   Fourier versus non-Fourier heat conduction in materials with a nonhomogeneous inner structure [J].
Herwig, H ;
Beckert, K .
JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2000, 122 (02) :363-365
[10]   Effects of thermal properties and geometrical dimensions on skin burn injuries [J].
Jiang, SC ;
Ma, N ;
Li, HJ ;
Zhang, XX .
BURNS, 2002, 28 (08) :713-717