Sensitivity analysis of burns integrals

• Autorzy: Majchrzak E. , Jasiński M.
• Języki publikacji: EN

Abstrakty

EN

In the paper the numerical analysis of thermal processes proceeding in the domain of biological tissue subjected to an external heat source is presented. Heat transfer in the skin tissue was assumed to be transient and two-dimensional. The bioheat transfer in the domain considered is described by the system of Pennes equations determining the temperature field in successive skin layers. Between the layers the ideal contact is assumed. On the selected part of skin surface the Neumann condition determining the value of external heat source is given, on the conventionally assumed internal surface of the tissue the no-flux condition is accepted. For time t=0 the initial distribution of temperature is known. The degree of the skin burn can be predicted on the basis of the so-called Henriques integrals and the main subject of the paper is the sensitivity analysis of these integrals with respect to the skin parameters. On the stage of numerical computations the boundary element method has been used. In the final part of the paper the results obtained are shown.

Słowa kluczowe

EN

sensitivity analysis; boundary element method; bioheat transfer

PL

analiza wrażliwości; metoda elementów brzegowych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2004
• Tom: Vol. 11, No. 2-3
• Strony: 125--136
• Opis fizyczny: Bibliogr. 10 poz., rys., wykr., tab.

Twórcy

autor

Majchrzak E.

• Silesian University of Technology, Department for Strength of Materials and Computational Mechanics [Politechnika Ślaska], Konarskiego 18 a, 44-100 Gliwice
• Technological University of Czestochowa, Institute of Mathematics and Computer Science, Dabrowskiego 68, 42-200 Czestochowa, Poland

autor

Jasiński M.

• Silesian University of Technology, Department for Strength of Materials and Computational Mechanics [Politechnika Ślaska], Konarskiego 18 a, 44-100 Gliwice

Bibliografia

• [[1] H.W. Huang, C.L. Chan, R.B. Roemer. Analytical solutions of Pennes bioheat transfer equation with a blood vessel. Journal of Biomechanical Engineering, 116: 208-212, 1994.
• [2] E. Majchrzak. Numerical modelling of bio-heat transfer using the boundary element method. Journal of Theoretical and Applied Mechanics, 2, 36: 437-455, 1998.
• [3] D.A. Torvi, .J.D. Dale. A finite element model of skin subjected to a flash fire. Journal of Mechanical Engineering, 116: 250-255, 1994.
• [4] F.C. Henriques. Studies of thermal injures V. The predicability and the significance of thermally inducted rate processes leading to irreversible epidermal injury. Archives of Pathology, 43: 489-502, 1947.
• [5] K. Dems. Sensitivity analysis in thermal problems - I: variation of material parameters within fixed domain. Journal of Thermal Stresses, 9: 303-324, 1986.
• [6] C.R. Davies, G.M. Saidel, H. Harasaki. Sensitivity analysis of one - dimensional heat transfer in tissue with temperature - dependent perfusion. Journal of Biomechanical Engineering, 119: 77-80, 1997.
• [7] E. Majchrzak, M. .Jasinski. Sensitivity analysis of bioheat transfer in 2D tissue domain subjected to an external heat source. Acta of Bioengineering and Biomechanics, 3, 2: 329-336, 2001.
• [8] M. Kleiber. Parameter sensitivity in nonlinear mechanics. John Willey and Sons Ltd., Chichester, 1997.
• [9] C.A. Brebbia, .J. Dominguez. Boundary elements, an introductory course. Computational Mechanics Publications, McGraw-Hill Book Company, London, 1992.
• [10] E. Majchrzak. Boundary element method in heat transfer. Pub!. of the Technological University of Czestochowa, Czestochowa, 2001 (in Polish).