An integral transform solution for bioheat transfer in skin tissue subjected to surface laser irradiation

2021 ◽  
Vol 180 ◽  
pp. 121706
Author(s):  
Lijing Zhang ◽  
Xinchun Shang
Keyword(s):  
Laser Irradiation ◽  
Integral Transform ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Surface Laser

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.

Quantitative measurement of skin tissue response during laser irradiation in photorejuvenation

2009 ◽  
Vol 7 (6) ◽  
pp. 512-514 ◽  
Author(s):  
黄义梅 Wei Gong ◽  
龚玮 Yimei Huang ◽  
谢树森 Shusen Xie
Keyword(s):  
Laser Irradiation ◽  
Quantitative Measurement ◽  
Tissue Response ◽  
Skin Tissue

Two-dimensional thermo-mechanical fractional responses to biological tissue with rheological properties

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Magdy A. Ezzat ◽  
Roland W. Lewis
Keyword(s):  
Rheological Properties ◽  
Human Skin ◽  
Fractional Order ◽  
Order Parameters ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Two Dimensional ◽  
Volume Relaxation ◽  
Content Type ◽  
Human Skin Tissue

Purpose The system of equations for fractional thermo-viscoelasticity is used to investigate two-dimensional bioheat transfer and heat-induced mechanical response in human skin tissue with rheological properties. Design/methodology/approach Laplace and Fourier’s transformations are used. The resulting formulation is applied to human skin tissue subjected to regional hyperthermia therapy for cancer treatment. The inversion process for Fourier and Laplace transforms is carried out using a numerical method based on Fourier series expansions. Findings Comparisons are made with the results anticipated through the coupled and generalized theories. The influences of volume materials properties and fractional order parameters for all the regarded fields are examined. The results indicate that volume relaxation parameters, as well as fractional order parameters, play a major role in all considered distributions. Originality/value Bio-thermo-mechanics includes bioheat transfer, biomechanics, burn injury and physiology. In clinical applications, knowledge of bio-thermo-mechanics in living tissues is very important. One can infer from the numerical results that, with a finite distance, the thermo-mechanical waves spread to skin tissue, removing the unrealistic predictions of the Pennes’ model.

Temperature Response in Living Skin Tissue Subject to Convective Heat Flux

2018 ◽  
Vol 387 ◽  
pp. 1-9
Author(s):  
Sanatan Das ◽  
Tilak Kumer Pal ◽  
Rabindra Nath Jana ◽  
Oluwole Daniel Makinde
Keyword(s):  
Heat Transfer ◽  
Biot Number ◽  
Temperature Response ◽  
Bioheat Transfer ◽  
Heat Transfer Analysis ◽  
Skin Tissue ◽  
Tissue Temperature ◽  
Convective Heating ◽  
Transform Method ◽  
Living Tissues

This paper examines the heat transfer in living skin tissue that is subjected to a convective heating. The tissue temperature evolution over time is classically described by the one-dimensional Pennes' bioheat transfer equation which is solved by applying Laplace transform method. The heat transfer analysis on skin tissue (dermis and epidermis) has only been studied defining the Biot number. The result shows that the temperature in skin tissue is less subject to the convected heating skin compared to constant skin temperature. The study also shows that the Biot number has a significant impact on the temperature distribution in the layer of living tissues. This study finds its application in thermal treatment.

Theoretical Analysis of Transient Bioheat Transfer in Multi-Layer Tissue

2015 ◽  
Author(s):  
Daipayan Sarkar ◽  
A. Haji-Sheikh ◽  
Ankur Jain
Keyword(s):  
Transfer Equation ◽  
Physical Phenomenon ◽  
Separation Of Variables ◽  
Blood Perfusion ◽  
Bioheat Transfer ◽  
Skin Tissue ◽  
Transient Temperature ◽  
Theoretical Understanding ◽  
Transient Model ◽  
Bioheat Transfer Equation

Heat conduction in skin tissue is a problem of significant technological importance. A theoretical understanding of such a problem is essential as it may lead to design potential therapeutic measures for needed cancer therapy or novel medical devices for various applications including hyperthermia. To understand the physical phenomenon of energy transport in biological systems a transient model is chosen for this study. The most common transport equation to estimate temperature distribution in humans was developed by H.H. Pennes and is popularly known as the Pennes bioheat transfer equation. A generalized Pennes bioheat transfer equation accounts for the effect of various physical phenomena such as conduction, advection, volumetric heat generation, etc. are considered. In this paper, a general transient form of the Pennes bioheat transfer equation is solved analytically for a multilayer domain. The boundary value problem considers the core of the tissue is maintained at uniform temperature of 37°C, convective cooling is applied to the external surface of the skin and the sidewalls are adiabatic. The computation of transient temperature in multidimensional and multilayer bodies offers unique features. Due to the presence of blood perfusion in the tissue, the reaction term in the Pennes governing equation is modeled similar to a fin term. The eigenvalues may become imaginary, producing eigenfunctions with imaginary arguments. In addition the spacing between the eigenvalues between zero and maximum value varies for different cases; therefore the values need to be determined with precision using second order Newton’s method. A detailed derivation of the temperature solution using the technique of separation of variables is presented in this study. In addition a proof of orthogonality theorem for eigenfunctions with imaginary eigenvalues is also presented. The analytical model is used to study the thermal response of skin tissue to different parameters with the aid of some numerical examples. Results shown in this paper are expected to facilitate a better understand of bioheat transfer in layered tissue such as skin.

Post Treatment Laser Irradiation For Recovery Of Deformation Induced By Surface Laser Hardening

2009 ◽  
Author(s):  
Giuseppe Casalino ◽  
Luca Giorleo ◽  
Edoardo Capello ◽  
Vicente Jesus Segui
Keyword(s):  
Laser Irradiation ◽  
Post Treatment ◽  
Laser Hardening ◽  
Surface Laser
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