Analysis of thermal processes proceeding in the skin tissue subjected to freezing

• Autorzy: Majchrzak E. , Kałuża G.
• Konferencja: Biomechanika'06 / Międzynarodowa Konferencja (06-08.09.2006 ; Zakopane, Polska)
• Języki publikacji: EN

Abstrakty

EN

The freezing process of skin tissue is described by the strongly non-linear bioheat transfer equation in which the additional term controlling the evolution of latent heat appears. Using the approach called 'the one domain method' finally one obtains the partial differential equation containing the substitute thermal capacity of tissue. The boundary and initial conditions determine the thermal interaction between the tissue and cryoprobe tip. In the paper we consider the external cylindrical cryoprobe. In order to estimate the influence of cryoprobe geometry on the course of the process the shape sensitivity analysis has been applied. In particular the direct approach is used (explicit differentiation method). The results of numerical modelling (the boundary element method is applied) allow to formulate the essential practical conclusions concerning the course of cryosurgery treatments.

Słowa kluczowe

EN

bioheat transfer; freezing of tissues; cryosurgery; boundary elements method; mathematical modeling

PL

przepływ biociepła; zamrażanie tkanek; kriochirurgia; metoda elementów brzegowych; modelowanie matematyczne

• Wydawca: Wydawnictwo Katedry Mechaniki Stosowanej
• Czasopismo: Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska
• Rocznik: 2006
• Tom: z. 26
• Strony: 225--230
• Opis fizyczny: Bibliogr. 7 poz.

Twórcy

autor

Majchrzak E.

autor

Kałuża G.

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

Bibliografia

• [1] Pennes H. H.: Analysis of tissue and arterial blood temperatures in the resting human forearm, Journal of Applied Physiology, 1, 1948, pp. 93-122.
• [2] Comini G., Del Giudice L.: Thermal aspects of cryosurgery, Journal of Heat Transfer, 98, 1976, pp. 543-549.
• [3] Mochnacki B., Majchrzak E., Kałuża G.: Modelling of biological tissue freezing process with regard to sensitivity analysis. Acta of Bioengineering and Biomechanics, 6, 1, 2004, pp. 480-484.
• [4] Majchrzak E., Mochnacki B.: The BEM application for numerical solution of non-steady and non-linear thermal diffusion problems. Computer Assisted Mechanics and Engineering Sciences, 3,4,1996, pp. 327-346,
• [5] Kleiber M.: Parameter sensitivity in nonlinear mechanics, J.Willey & Sons Ltd. London, 1997.
• [6] Kałuża G.: Application of sensitivity analysis methods in bioheat transfer problems, Doctoral Theses, Silesian University of Technology, Gliwice, 2005.
• [7] Majchrzak E.: Boundary element method in heat transfer, Publ. of the Czestochowa Univ. of Technology, Czestochowa, 2001 (in Polish).