Modelling of thermal processes occuring in the tissue with a tumor with regard to parameter sensitivity analysis

• Autorzy: Majchrzak E. , Paruch M. , Drozdek J.
• Języki publikacji: EN

Abstrakty

EN

The numerical algorithm based on the multiple reciprocity boundary element method is used for the temperature field computations in the non-homogeneous domain of healthy tissue and the tumor region. The thermophysical parameters of tumor, in particular the perfusion rate, the metabolic heat source and the thermal conductivity are essentially bigger than for healthy tissue. From the mathematical point of view the problem is described by the system of two Poisson's equations supplemented by the adequate boundary conditions. The main subject of the paper is the sensitivity analysis of temperature distribution with respect to the thermal parameters of tumor region and healthy tissue. In the final part of the paper the examples of computations are shown.

Słowa kluczowe

EN

heathly tissue; tumor; heat transfer; numerical methods; multiple reciprocity boundary element method

PL

tkanka zdrowa; nowotwór; przepływ ciepła; metody numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2004
• Tom: Vol. 3, nr 1
• Strony: 133--142
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Majchrzak E.

• Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Gliwice, Poland
• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Czestochowa, Poland

autor

Paruch M.

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

autor

Drozdek J.

• Institute of Mathematics and Computer Science, Czestochowa University of Technology, Czestochowa, Poland

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] Dems K., Rousselet B., Structural Optimization 1999, 17, 36-54.
• [4] Majchrzak E., Jasiński M., Acta of Bioengineering and Biomechanics 2003, 1, 5, 93-108.
• [5] Majchrzak E., Boundary element method in heat transfer, Publ. of the Technological University of Czestochowa, Czestochowa 2001 (in Polish).
• [6] Nowak A.J., Boundary element method with an application of the multiple reciprocity method, Publ. of the Sil. Univ. of Technol.