Determination of the temperature field in burned and healthy skin tissue using the boundary element method. Part 2

• Autorzy: Freus K. , Freus S.
• Języki publikacji: EN

Abstrakty

EN

In the paper, the position of the boundary between burned and healthy tissue is described by the NURBS curve. The temperature field in the domain is calculated by means of the boundary element method. The influence of discretization on the temperature distribution in the burned and healthy skin tissue is analysed. Different numbers of boundary elements and internal cells are taken into account. In the final part of the paper the examples of computations are shown.

Słowa kluczowe

EN

bioheat transfer; Pennes equation; boundary element method

PL

przepływ ciepła; równanie Pennesa; metoda elementów brzegowych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2013
• Tom: Vol. 12, nr 3
• Strony: 47--54
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Freus K.

• Institute of Mathematics,Czestochowa University of Technology

autor

Freus S.

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

Bibliografia

• [1] Freus K., Freus S., Majchrzak E., Determination of temperature field at burned and healthy skin tissue using the Boundary Element Method - part I, Journal of Applied Mathematics and Computational Mechanics 2013, 3(12), 39-46.
• [2] Pennes H.H., Analysis of tissue and arterial blood temperatures in the resting human forearm, Journal of Applied Physiology 1948, 1, 93-122.
• [3] Romero Mendez R., Jimenez-Lozano J.N., Sen M., Gonzalez F.J., Analytical solution of a Pennes equation for burn-depth determination from infrared thermographs, Mathematical Medicine and Biology 2010, 27, 21-38.
• [4] Majchrzak E., Dziewoński M., Nowak M., Kawecki M., Bachorz M., Kowalski P., The design of a system for assisting burn and chronic wound diagnosis, [in:] E. Piętka, J. Kawa (eds.), ITIB 2012, LNCS 7339, Springer-Verlag, Berlin-Heidelberg 2012, 110-117.
• [5] Piegl L., Tiller W., The NURBS Book, Springer, 1995.
• [6] Brebbia C.A., Dominguez J., Boundary Elements. An Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [7] Majchrzak E., Boundary Element Method in Heat Transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [8] Freus S., Doctoral thesis, Czestochowa University of Technology, 2003.