Temperature field in burned and healthy tissue : sensitivity analysis with respect to the thermal parameters

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

Abstrakty

EN

A non-homogeneous system being the composition of burn wound and healthy tissue is considered. The heat exchange between sub-domains and environment is described by the system of partial differential equations (the Pennes equations) supplemented by the assumed boundary conditions. Additional problems associated with sensitivity analysis with respect to thermal parameters occurring in the mathematical model are formulated. Both the basic problem and additional ones concerning the sensitivity with respect to selected parameters are solved using the boundary element method. In the final part of the paper the results of computations are shown.

Słowa kluczowe

EN

bioheat transfer; Pennes equation; boundary element method; burn wounds

PL

przepływ ciepła; równanie Pennesa; metoda elementów brzegowych; rany poparzeniowe

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2014
• Tom: Vol. 13, nr 3
• Strony: 47--58
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Freus K.

• Institute of Mathematics,Czestochowa University of Technology, Częstochowa, Poland

autor

Freus S.

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

autor

Majchrzak E.

• Institute of Computational Mechanics and Engineering Silesian University of Technology, Gliwice, Poland

Bibliografia

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• [3] Majchrzak E., Paruch M., Identification of electromagnetic field parameters assuring the cancer destruction during hyperthermia treatment, Inverse Problems in Science & Engineering 2011, 19, 1, 45-58.
• [4] Majchrzak E., Application of different variants of the BEM in numerical modeling of bioheat transfer processes, MCB: Molecular & Cellular Biomechanics 2013, 10, 3, 201-232.
• [5] 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.
• [6] Kleiber M., Parameter Sensitivity, J.Wiley & Sons Ltd., Chichester 1997.
• [7] Majchrzak E., Mochnacki B., Sensitivity analysis and inverse problems in bio-heat transfer modelling, Computer Assisted Mechanics and Engineering Sciences 2006, 13, 85 108.
• [8] Jasiński M., Sensitivity analysis of transient bioheat transfer with perfusion rate dependent on tissue injury, Computer Assisted Mechanics and Engineering Science 2009, 16, 267-277.
• [9] Brebbia C.A., Dominguez J., Boundary Elements an Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [10] Majchrzak E., Boundary Element Method in Heat Transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [11] Freus K., Freus S., Majchrzak E., Determination of the temperature field in burned and healthy tissue using the boundary element method - part I, Journal of Applied Mathematics and Computational Mechanics 2013, 12(3), 39-46.