Sensitivity analysis of transient bioheat transfer with perfusion rate dependent on tissue injury

• Autorzy: Jasiński M.
• Języki publikacji: EN

Abstrakty

EN

The sensitivity analysis of transient temperature field in the tissue domain with respect to its thermophysical parameters is discussed. In particular, the influence of tissue specific heat, thermal conductivity, perfusion rate and metabolic heat source on the temperature distribution is considered. In order to determine the influence of variations of these parameters on temperature distribution the direct approach of sensitivity analysis is applied. Perfusion rate is treated as dependent on tissue injury which is estimated on the basis of Arrhenius integral. On the stage of numerical realization the boundary element method is used. In the final part of paper the results obtained are shown.

Słowa kluczowe

EN

bioheat; Arrhenius scheme; tissue necrosis; boundary element method

PL

ciepło z biomasy; schemat Arrheniusa; martwica tkanki; metoda elementów brzegowych

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2009
• Tom: Vol. 16, No. 3/4
• Strony: 267--277
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Jasiński M.

• Department of Strength of Materials and Computational Mechanics, Silesian Unwersity of Technology, Konarskiego 18a, 44-100 Gliwice, Poland,

Bibliografia

• [1] J.P. Abraham, E.M. Sparrow. A thermal-ablation bioheat model including liquid-to-vapor phase change, pressure- and necrosis-dependent perfusion, and moisture-dependent properties. Int. Journal of Heat and Mass Transfer, 50: 2537-2544, 2007.
• [2] C.A. Brebbia, J. Dominguez. Boundary elements. An introductory course. Computational Mechanics Publications, McGraw-Hill Book Company, London, 1992.
• [3] 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, Transactions of The ASME, 119: 77-80, 1997.
• [4] K. Dems. Sensitivity analysis in thermal problems. Part I: Variation of material parameters within fixed domain. Journal of Thermal Stresses, 9: 303-324, 1986.
• [5] T.N. Glenn, S. Rastegar, S.L. Jacąues. Finite element analysis of temperature controlled coagulation in laser irradiated tissue. IEEE Transactions on Biomedical Engineering, 43: 79-87, 1996.
• [6] F.C. Henriques. Studies of thermal injuries. V. The predictability and the significance of thermally induced rate process leading to irreversible epidermal injury. Archives of Pathology, 43: 489-502, 1947.
• [7] M. Jasiński. Modelling of ID bioheat transfer with perfusion coefficient dependent on tissue necrosis. Scientific Research of the Institute of Mathematics and Computer Science, Częstochowa University of Technology, 7: 57-62, 2008.
• [8] M. Jasiński. Modelling of tissue heating process (in Polish). Ph.D. Thesis, Silesian University of Technology, Gliwice, 2001.
• [9] M. Kleiber. Parameter sensitivity in nonlinear mechanics. J.Willey & Sons Ltd, Chicester, 1997.
• [10] E. Majchrzak. Boundary element method in heat transfer(in Polish). Wydawnictwa Politechniki Częstochowskiej, Częstochowa, 2001.
• [11] E. Majchrzak. Numerical modelling of bio-heat transfer using the boundary element method. Journal of Theoretical and Applied Mechanics, 2: 437-455, 1998.
• [12] E. Majchrzak, M. Jasiński. Numerical analysis of bioheat transfer processes in tissue domain subjected to a strong external heat source. In: Z. Yao, M.H. Aliabadi, eds., Boundary Elements Techniques, Tsinghua University Press, Springer, 2002.
• [13] E. Majchrzak, M. Jasiński. Numerical estimation of burn degree of skin tissue using the sensitivity analysis methods. Acta of Bioengineering and Biomechanics, 5(1): 93-108, 2002.
• [14] E. Majchrzak, M. Jasiński. Sensitivity analysis of bioheat transfer in 2D tissue domain subjected to an external heat source. Acta of Bioengineering and Biomechanics, 3(Suppl. 1): 329-336, 2001.
• [15] E. Majchrzak, M. Jasiński. Sensitivity analysis of burn integrals. Computer Assisted Mechanics and Engineering Science, 11: 125-136, 2004.
• [16] E. Majchrzak E, M. Jasiński, Sensitivity study of burn prediction to variations in thermophysical properties of skin. In: Advances in Boundary Element Techniąues II. Hoggar, Geneya, 2001.
• [17] E. Majchrzak, B. Mochnacki, M. Jasiński. Numerical modelling of bioheat transfer in multi-layer skin tissue domain subjected to a flash fire. In: Bathe, K.J., ed., Computational Fluid and Solid Mechanics 2003, Vol. 2, pp. 1766-1770, Elseyier Science Ltd, 2003.
• [18] J.T. Odeń, K.R. Diller, C. Bajaj, J.C. Browne, J. Hazle, I. Babuska, J. Bass, L. Biduat, L. Demkowicz, A. Elliott, Y. Feng, D. Fuentes, S. Prudhomme, M.N. Rylander, R.J. Stafford, Y. Zhang. Dynamic data-driven finite element models for laser treatment of cancer. Numerical Methods for Partial Differential Equations, 23: 904-922, 2007.
• [19] D. A. Toryi, J.D. Dale. A finite element model of skin subjected to a flash fire. Journal of Mechanical Engineering, 116: 250-255, 1994.