An analytical solution of the bioheat model in a spherical tissue due to laser irradiation

被引:19
作者
Abbas, I. [1 ,2 ]
Hobiny, A. [1 ]
Alzahrani, F. [1 ]
机构
[1] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia
[2] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt
关键词
Skin tissues; Thermal damages; Laser irradiation; Laplace transforms; 87; 80; Rb; FINITE-ELEMENT-ANALYSIS; GENERALIZED THERMOELASTICITY; PERISTALTIC PROPULSION; TRANSFER EQUATION; THERMAL-DAMAGE; HEAT-TRANSFER; POROUS-MEDIUM; TRANSPORT; FLOW; HYPERTHERMIA;
D O I
10.1007/s12648-019-01581-w
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This article studies an analytical approach associated with Laplace transform, experimental temperature data and a sequential concept over time to obtain the thermal damage and the temperature in living tissue due to laser irradiation. The effects of blood perfusion and the thermal relaxation time on the temperature of skin tissues and the resulting of thermal damage are investigated. The resulting of thermal damage to the tissue is assessed by the denatured protein range using the formulation of Arrhenius. The outcomes show that the hyperbolic bioheat model is reduced to the parabolic bioheat model when the relaxation time is close to zero. The numerical outcomes of thermal injuries and temperatures are graphically introduced. In conclusion, the comparison between the numerical computations and the existing experimental study displays that a current mathematical model is an effective tool for evaluating the biological heat transfer in biological tissues.
引用
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页码:1329 / 1334
页数:6
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