Temperature determination in the tissue with a tumor using MRBEM and FEM

• Autorzy: Paruch M. , Dziewoński M. , Kokot G.
• Języki publikacji: EN

Abstrakty

EN

The numerical algorithms based on the boundary element method and finite element method are used for the temperature field computations in the non homogenous domain being the composition of healthy tissue and the tumor region. The three dimensional problem is considered. Thermophysical parameters of sub-domains, in particular the perfusion coefficients, thermal conductivities and the metabolic heat sources are different. From the mathematical point of view the problem is described by the system of two Poisson's equations with temperature-dependent source functions. These equations are supplemented by the adequate boundary conditions. The algorithms discussed allow, among others, to determine the temperature distribution on the surface of the skin. In the final part of the paper the examples of computations are shown.

Słowa kluczowe

EN

tumor; healthy tissue; temperature field; finite element method; multiple reciprocity boundary element method

PL

nowotwór; tkanka zdrowa; pole temperatury; metoda elementów skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2005
• Tom: Vol. 4, nr 1
• Strony: 195--203
• Opis fizyczny: Bibliogr. 9 poz., rys., tab.

Twórcy

autor

Paruch M.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology, Gliwice

autor

Dziewoński M.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology, Gliwice

autor

Kokot G.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology, Gliwice

Bibliografia

• [1] Liu J., Xu L.X., Boundary information based diagnostics on the thermal states of biological bodies, International Journal of Heat and Mass Transfer 2000, 43, 2827-2839.
• [2] Majchrzak E., Mochnacki B., Analysis of thermal processes occurring in tissue with a tumor region using the BEM, Journal of Theoretical and Applied Mechanics 2002, 1, 40, 101-112.
• [3] Banerjee P.K., Boundary element methods in engineering, McGraw-Hill Book Company, London 1994.
• [4] Brebbia C.A., Dominguez J., Boundary Elements. An Introductory Course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [5] Majchrzak E., Boundary element method in heat transfer, Publ. of the Technological University of Czestochowa, Czestochowa 2001 (in Polish).
• [6] Drozdek J., Modeling of temperature field in domains with internal heat sources and its application in bioheat transfer problems, Doctoral Theses, Czestochowa University of Technology, Częstochowa 2003.
• [7] Nowak A.J., Boundary element method with an application of the multiple reciprocity method, Publ. of the Silesian University of Technology, 116, Gliwice 1993.
• [8] Nowak A.J., Solving linear heat conduction problems by the multiple reciprocity method, Chapter 3 in: Boundary element methods in heat transfer, eds. L.C. Wrobel and C.A. Brebbia, Computational Mechanics Publications, Southampton, Boston 1992, 63-132.
• [9] Majchrzak E., Mochnacki B., Metody numeryczne. Podstawy teoretyczne, aspekty praktyczne i algorytmy, Wyd. Pol. Śl., Gliwice 2004.