Analytical solutions of thermal damage in living tissues due to laser irradiation

被引:45
作者
Alzahrani, Faris S. [1 ]
Abbas, Ibrahim A. [1 ,2 ]
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
Bioheat transfer; living tissue; thermal damage; dual-phase-lag model; PHASE-LAG MODEL; BIOHEAT TRANSFER EQUATION; HEAT-TRANSFER; GENERALIZED THERMOELASTICITY; HYPERTHERMIA; TRANSPORT; BODY;
D O I
10.1080/17455030.2019.1676934
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this article, the analytical solutions of dual-phase-lag (DPL) bioheat equation with various boundary conditions have been constructed for curative therapy of cancerous cells. The volumetric thermal source components in the model of DPL bioheat transfer, such as the metabolic heat generation and the rate of blood perfusion, are considered. The analytical solutions in the Laplace domain are obtained. The thermal injuries to the tissue are assessed by the denatured protein range, using the formulation of Arrhenius. Numerical outcomes for temperatures are graphically introduced. A parametric analysis is devoted to the identification of an appropriate procedure for selecting important design variables in order to predict more accurate to reach effective heating in hyperthermia treatment.
引用
收藏
页码:1443 / 1456
页数:14
相关论文
共 31 条
[1]   Finite element analysis of the thermoelastic interactions in an unbounded body with a cavity [J].
Abbas, Ibrahim A. .
FORSCHUNG IM INGENIEURWESEN-ENGINEERING RESEARCH, 2007, 71 (3-4) :215-222
[2]   Dual-Phase-Lag Model on Thermoelastic Interactions in a Semi-Infinite Medium Subjected to a Ramp-Type Heating [J].
Abbas, Ibrahim A. ;
Zenkour, Ashraf M. .
JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, 2014, 11 (03) :642-645
[3]   Two-temperature generalized thermoelasticity under ramp-type heating by finite element method [J].
Abbas, Ibrahim A. ;
Youssef, Hamdy M. .
MECCANICA, 2013, 48 (02) :331-339
[4]   Generalized Magneto-thermoelasticity in a Fiber-Reinforced Anisotropic Half-Space [J].
Abbas, Ibrahim A. ;
Abd-alla, Abo-el-nour N. ;
Othman, Mohamed I. A. .
INTERNATIONAL JOURNAL OF THERMOPHYSICS, 2011, 32 (05) :1071-1085
[5]   Analytical solution of the parabolic and hyperbolic heat transfer equations with constant and transient heat flux conditions on skin tissue [J].
Ahmadikia, H. ;
Fazlali, R. ;
Moradi, A. .
INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2012, 39 (01) :121-130
[6]   Analytical analysis of the dual-phase-lag model of bioheat transfer equation during transient heating of skin tissue [J].
Askarizadeh, Hossein ;
Ahmadikia, Hossein .
HEAT AND MASS TRANSFER, 2014, 50 (12) :1673-1684
[7]  
Díaz SH, 2003, PHYS MED BIOL, V48, P19, DOI 10.1088/0031-9155/48/1/302
[8]   Fast FFT-based bioheat transfer equation computation [J].
Dillenseger, Jean-Louis ;
Esneault, Simon .
COMPUTERS IN BIOLOGY AND MEDICINE, 2010, 40 (02) :119-123
[9]  
Dombrovsky L.A., 2015, Tepl. Prots. Tekh, V7, P24
[10]   Temperature-Controlled Two-Wavelength Laser Soldering of Tissues [J].
Gabay, Ilan ;
Abergel, Avraham ;
Vasilyev, Tamar ;
Rabi, Yaron ;
Fliss, Dan M. ;
Katzir, Abraham .
LASERS IN SURGERY AND MEDICINE, 2011, 43 (09) :907-913