A solution to Laser-induced Heat Equation inside a Two-layer Tissue Model Using Boubaker Polynomials Expansion Scheme

被引：3

作者：

Aweda, M. A. ^{[3
]}

Agida, M. ^{[2
]}

Dada, M. ^{[2
]}

Awojoyogbe, O. B. ^{[2
]}

Isah, K. ^{[2
]}

Faromika, O. P. ^{[2
]}

Boubaker, K. ^{[1
]}

De, K. ^{[2
]}

Ojambati, O. S. ^{[2
]}

机构：

[1] UPDS, Fac Sci Tunis, Unite Phys Dispositifs Semicond, Tunis, Tunisia

[2] Fed Univ Technol, Dept Phys, Minna, Niger State, Nigeria

[3] Univ Lagos, Coll Med, Dept Radiat Biol & Radiotherapy, Idi Araba, Lagos State, Nigeria

来源：

JOURNAL OF LASER MICRO NANOENGINEERING | 2011年 / 6卷 / 02期

关键词：

Laser; modeled tissues; Heat equation; In-vivo; MAXIMAL SPATIAL EVOLUTION; NMR FLOW EQUATIONS; DYNAMICAL MODEL; RESISTANCE; TEMPERATURE; SURGERY;

D O I：

10.2961/jlmn.2011.02.0002

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

In this paper, an analytical solution to the heat transfer equation in a particulal two-layer model of in-vivo tissues during laser heating is proposed. The application of tissues continuous or pulsed lasers heating is not yet a routine technique which can soon be widely implemented into practice. A two layer model of living tissue is used in order to study temperature rise during laser heating. The resolution of the heat transfer between the two regions is carried out using a polynomial expansion scheme. DOI: 10.2961/jlmn.2011.02.0002

引用

页码：105 / 109

页数：5

共 50 条

[31] Accurate solution for motion of a spherical solid particle in plane Couette Newtonian fluid mechanical flow using HPM-Pade approximant and the Boubaker polynomials expansion scheme BPES
Torabi, Mohsen
Yaghoobi, Hessameddin
Boubaker, Karem
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2013, 58 (1-2) : 224 - 228
[32] A range-free method to determine antoine vapor-pressure heat transfer-related equation coefficients using the Boubaker polynomial expansion scheme
H. Koçak
Z. Dahong
A. Yildirim
Russian Journal of Physical Chemistry A, 2011, 85
[33] Analytical solution of transient heat conduction in a two-layer anisotropic cylindrical slab excited superficially by a short laser pulse
Milosevic, ND
Raynaud, M
INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2004, 47 (8-9) : 1627 - 1641
[34] Reduction of A Three-Layer Semi-Discrete Scheme for an Abstract Parabolic Equation to Two-Layer Schemes. Explicit Estimates for the Approximate Solution Error
Rogava J.
Gulua D.
Journal of Mathematical Sciences, 2015, 206 (4) : 424 - 444
[35] A ONE-LAYER MODEL OF LASER-INDUCED FLUORESCENCE FOR DIAGNOSIS OF DISEASE IN HUMAN-TISSUE - APPLICATIONS TO ATHEROSCLEROSIS
RICHARDSKORTUM, R
RAVA, RP
FITZMAURICE, M
TONG, LL
RATLIFF, NB
KRAMER, JR
FELD, MS
IEEE TRANSACTIONS ON BIOMEDICAL ENGINEERING, 1989, 36 (12) : 1222 - 1232
[36] Solution for combinational optimization problems using a two-layer random field model - Mean-field approximation
Igarashi, Harukazu, 1600, Scripta Technica Inc, New York, NY, United States (25):
[37] Optical tomography for breast cancer imaging using a two-layer tissue model to include chest-wall effects
Das, Mini
Zhu, Quing
MEDICAL IMAGING 2007: PHYSIOLOGY, FUNCTION, AND STRUCTURE FROM MEDICAL IMAGES, 2007, 6511
[38] Implementation of a practical model for light and heat distribution using laser-induced thermotherapy near to a large vessel
Verhey, JF
Mohammed, Y
Ludwig, A
Giese, K
PHYSICS IN MEDICINE AND BIOLOGY, 2003, 48 (21): : 3595 - 3610
[39] On the laser-induced heat profle for skin-thermolysis by using an egg white protein simulation model
Naovaratpong, N. (nareerat.naovaratpong@gmail.com), 1600, Old City Publishing (25): : 3 - 4
[40] On the Laser-induced Heat Profile for Skin-Thermolysis by Using an Egg White Protein Simulation Model
Naovaratpong, N.
Boonyaroonate, I.
Nathakaranakule, A.
LASERS IN ENGINEERING, 2013, 25 (3-4) : 163 - 171

← 1 2 3 4 5 →