Sensitivity analysis of temperature field in the tissue with a tumor

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

Abstrakty

EN

The numerical algorithm based on the boundary element method is used for the temperature field computations in the non-homogeneous domain of healthy tissue and the tumor region. Thermophysical parameters of tumor region, in particular the perfusion coefficient and the metabolic heat source are essentially bigger than for healthy tissue. The values of these parameters are assumed to be constant. 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 constant source functions in the sub-domains considered. In the final part the examples of computations are shown.

Słowa kluczowe

EN

sensitivity analysis; tissue with tumor; heathly tissue; biological tissue; numerical computations; heat transfer process

PL

analiza wrażliwości; komórka nowotworowa; tkanka zdrowa; tkanka biologiczna; obliczenia numeryczne; proces wymiany ciepła

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2003
• Tom: Vol. 2, nr 1
• Strony: 93--98
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Majchrzak E.

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

autor

Paruch M.

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

autor

Drozdek J.

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

Bibliografia

• [1] Huang H.W., Chan C.L., Roemer R.B., Analytical solutions of Pennes bio-heat transfer equation with a blood vessel, Journal of Biomechanical Engineering 1994, 116, 208-121.
• [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, 101-102.
• [3] Dems K., Sensitivity analysis in thermal problems - II: structure shape variation, Journal of Thermal Stresses 1987, 10, 1-16.
• [4] Majchrzak E., Boundary element method in heat transfer, Publ. of the Technological University of Czestochowa, Czestochowa 2001 (in Polish).
• [5] 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.

Uwagi

EN

The papers have been presented during the session devoted to application of mathematics (as part of International Conference on Parallel Processing and Applied Mathematics).