Numerical modelling of tissue heating by means of the electromagnetic field

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

Abstrakty

EN

Electromagnetic field induced by two external electrodes and temperature field resulting from electrodes action in 3D domain of biological tissue is considered. External electric field causes the heat generation in tissue domain. The distribution of electric potential in domain considered is described by the Laplace equation, while the temperature field is described by the Pennes equation. These problems are coupled by source function being the additional component in Pennes equation and resulting from the electric field action. The boundary element method is applied to solve the coupled problem connected with the biological tissue heating. In the final part of the paper the examples of computations are shown.

Słowa kluczowe

EN

biological tissue; numerical modelling; electromagnetic field; Pennes equation; biological tissue heating

PL

tkanka biologiczna; modelowanie numeryczne; pole elektromagnetyczne; równanie Pennesa

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2010
• Tom: Vol. 9, nr 1
• Strony: 89--97
• Opis fizyczny: Bibliogr. 9 poz., rys.

Twórcy

autor

Majchrzak E.

autor

Paruch M.

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

Bibliografia

• [1] Lv Y.G., Deng Z.S., Liu J., 3D numerical study on the induced heating effects of embedded micro/nanoparticles on human body subject to external medical electromagnetic field, IEEE Transactions on Nanobioscience 2005, 4, 4, 284-294.
• [2] Majchrzak E., Dziatkiewicz G., Paruch M., The modelling of heating a tissue subjected to external electromagnetic field, Acta of Bioengineering and Biomechanics 2008, 10, 2, 29-37.
• [3] Majchrzak E., Drozdek J., Paruch M., Heating of tissue by means of the electric field – numerical model basing of the BEM, Scientific Research of the Institute of Mathematics and Computer Science of Czestochowa University of Technology 2008, 1(7), 99-110.
• [4] Liu J., Xu L.X., Boundary information based diagnostics on the thermal states of biological bodies, Int. Journal of Heat and Mass Transfer 2000, 43, 2827-2839.
• [5] Majchrzak E., Numerical modelling of bio-heat transfer using the boundary element method, Journal of Theoretical and Applied Mechanics 1998, 2, 36, 437-455.
• [6] Majchrzak E., Boundary element method in heat transfer, Publ. of the Czestochowa University of Technology, Czestochowa 2001 (in Polish).
• [7] Brebbia C.A., Dominguez J., Boundary Elements, An Introductory Course, Computational Mechanics Publications, McGraw-Hill Book Company, London 1992.
• [8] Jabłoński P., Boundary element method in the analysis of electromagnetic field, Publ. of the Czestochowa University of Technology, Czestochowa 2003 (in Polish).
• [9] Majchrzak E., Paruch M., Numerical modelling of temperature field in the tissue with a tumor subjected to the action of two external electrodes, Scientific Research of the Institute of Mathematics and Computer Science, Czestochowa University of Technology 2009, 1(8), 137-146.