scholarly journals Analytical Estimation of Temperature in Living Tissues Using the TPL Bioheat Model with Experimental Verification

Mathematics ◽  
2020 ◽  
Vol 8 (7) ◽  
pp. 1188
Author(s):  
Aatef Hobiny ◽  
Faris Alzahrani ◽  
Ibrahim Abbas
Keyword(s):  
Experimental Verification ◽  
Skin Surface ◽  
Bioheat Transfer ◽  
Measurement Information ◽  
Phase Lag ◽  
Denatured Protein ◽  
Three Phase ◽  
Analytical Estimation ◽  
Laplace Transformations ◽  
Living Tissues

The aim of this study is to propose the analytical method associated with Laplace transforms and experimental verification to estimate thermal damages and temperature due to laser irradiation by utilizing measurement information of skin surface. The thermal damages to the tissues are totally estimated by denatured protein ranges using the formulations of Arrhenius. By using Laplace transformations, the exact solution of all physical variables is obtained. Numerical results for the temperature and thermal damage are presented graphically. Furthermore, the comparisons between the numerical calculations with experimental verification show that the three-phase lag bioheat mathematical model is an efficient tool for estimating the bioheat transfer in skin tissue.

Analytical Study on Bioheat Transfer Problems with Spatial or Transient Heating on Skin Surface or Inside Biological Bodies

2002 ◽  
Vol 124 (6) ◽  
pp. 638-649 ◽  
Author(s):  
Zhong-Shan Deng ◽  
Jing Liu
Keyword(s):  
Present Method ◽  
Analytical Study ◽  
Three Dimensional ◽  
Skin Surface ◽  
Thermal Parameter ◽  
Bioheat Transfer ◽  
Transient Heating ◽  
Transfer Processes ◽  
Living Tissues ◽  
Transfer Problems

Several closed form analytical solutions to the bioheat transfer problems with space or transient heating on skin surface or inside biological bodies were obtained using Green’s function method. The solutions were applied to study several selected typical bioheat transfer processes, which are often encountered in cancer hyperthermia, laser surgery, thermal comfort analysis, and tissue thermal parameter estimation. Thus a straightforward way to quantitatively interpret the temperature behavior of living tissues subject to constant, sinusoidal, step, point or stochastic heatings etc. both in volume and on boundary were established. Further solution to the three-dimensional bioheat transfer problems was also given to illustrate the versatility of the present method. Implementations of this study to the practical problems were addressed.

scholarly journals The exact analytical solution of the dual-phase-lag two-temperature bioheat transfer of a skin tissue subjected to constant heat flux

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Hamdy M. Youssef ◽  
Najat A. Alghamdi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Exact Analytical Solution ◽  
Constant Heat Flux ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Phase Lag ◽  
Dual Phase ◽  
Constant Heat ◽  
Two Temperature

Abstract This work is dealing with the temperature reaction and response of skin tissue due to constant surface heat flux. The exact analytical solution has been obtained for the two-temperature dual-phase-lag (TTDPL) of bioheat transfer. We assumed that the skin tissue is subjected to a constant heat flux on the bounding plane of the skin surface. The separation of variables for the governing equations as a finite domain is employed. The transition temperature responses have been obtained and discussed. The results represent that the dual-phase-lag time parameter, heat flux value, and two-temperature parameter have significant effects on the dynamical and conductive temperature increment of the skin tissue. The Two-temperature dual-phase-lag (TTDPL) bioheat transfer model is a successful model to describe the behavior of the thermal wave through the skin tissue.

Effect of Forced Convection on the Skin Thermal Expression of Breast Cancer

2004 ◽  
Vol 126 (2) ◽  
pp. 204-211 ◽  
Author(s):  
Lu Hu ◽  
Ashish Gupta ◽  
Jay P. Gore ◽  
Lisa X. Xu
Keyword(s):  
Forced Convection ◽  
Conjugate Heat Transfer ◽  
Transfer Problem ◽  
Skin Surface ◽  
Bioheat Transfer ◽  
Image Subtraction ◽  
Steady State Temperature ◽  
Parametric Studies ◽  
Airflow Field ◽  
Thermal Signature

A bioheat-transfer-based numerical model was utilized to study the energy balance in healthy and malignant breasts subjected to forced convection in a wind tunnel. Steady-state temperature distributions on the skin surface of the breasts were obtained by numerically solving the conjugate heat transfer problem. Parametric studies on the influences of the airflow on the skin thermal expression of tumors were performed. It was found that the presence of tumor may not be clearly shown due to the irregularities of the skin temperature distribution induced by the airflow field. Nevertheless, image subtraction techniques could be employed to eliminate the effects of the flow field and thermal noise and significantly improve the thermal signature of the tumor on the skin surface. Inclusion of the possible skin vascular response to cold stress caused by the airflow further enhances the signal, especially for deeply embedded tumors that otherwise may not be detectable.

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