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
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
收藏
页码:105 / 109
页数:5
相关论文
共 50 条
  • [1] Boubaker Polynomials Expansion Scheme Solution to the Heat Transfer Equation Inside Laser Heated Biological Tissues
    Aweda, M. A.
    Agida, M.
    Dada, M.
    Awojoyogbe, O. B.
    Isah, K.
    Faromika, O. P.
    Boubaker, K. Ben Mahmoud
    De, K.
    Ojambati, O. S.
    JOURNAL OF HEAT TRANSFER-TRANSACTIONS OF THE ASME, 2012, 134 (06):
  • [2] Solution to Heat Equation Inside Cryogenic Vessels Using Boubaker Polynomials
    Mahmoud, K. B. Ben
    JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2009, 23 (02) : 409 - 411
  • [3] Boubaker Polynomials Expansion Scheme-Related Heat Transfer Investigation Inside Keyhole Model
    Belhadj, A.
    Onyango, O. F.
    Rozibaeva, N.
    JOURNAL OF THERMOPHYSICS AND HEAT TRANSFER, 2009, 23 (03) : 639 - 640
  • [4] Cut-off cooling velocity profiling inside a keyhole model using the Boubaker polynomials expansion scheme
    S. Amir Hossein A. E. Tabatabaei
    Tinggang Zhao
    O. Bamidele Awojoyogbe
    Folorunsho O. Moses
    Heat and Mass Transfer, 2009, 45 : 1247 - 1251
  • [5] Cut-off cooling velocity profiling inside a keyhole model using the Boubaker polynomials expansion scheme
    Tabatabaei, S. Amir Hossein A. E.
    Zhao, Tinggang
    Awojoyogbe, O. Bamidele
    Moses, Folorunsho O.
    HEAT AND MASS TRANSFER, 2009, 45 (10) : 1247 - 1251
  • [6] An analytical solution to applied mathematics-related Love's equation using the Boubaker polynomials expansion scheme
    Kumar, A. S.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (09): : 1755 - 1761
  • [7] Notes on uniqueness of the Boubaker Polynomials Expansion Scheme (BPES) solution in the case of the Klein-Gordon equation
    Caldera, C. R.
    Milgram, A.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (01) : 536 - 538
  • [8] A method for measuring the specific heat capacity of layered structures using the Boubaker polynomials expansion scheme
    Boubaker K.
    Journal of Engineering Physics and Thermophysics, 2010, 83 (1) : 83 - 89
  • [9] Two-layer simulation model of laser-induced interstitial thermo-therapy
    Ma, N
    Gao, X
    Zhang, XX
    LASERS IN MEDICAL SCIENCE, 2004, 18 (04) : 184 - 189
  • [10] Two-layer simulation model of laser-induced interstitial thermo-therapy
    N. Ma
    X. Gao
    X. X. Zhang
    Lasers in Medical Science, 2004, 18 : 184 - 189