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Numerical modelling of temperature field in the tissue with a tumor subjected to the action of two external electrodes

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The domain of tissue with a tumor subjected to the action of electrodes located on the skin surface is considered. External electric field causes the heat generation in the domain analyzed. The distribution of electric potential is described by the system of Laplace's equations, while the temperature field is described by the system of Pennes' equations. On the contact surface between healthy tissue and tumor region the ideal electric and ideal thermal contacts are assumed. To assure the optimum conditions of tumor destruction the magnetic nanoparticles are introduced to the tumor region. The aim of investigations is to determine the temperature field in the domain considered for different size and positions of external electrodes, in other words to choose such electrodes which assure the cancer destruction. To solve the coupled problem connected with the biological tissue heating the boundary element method is used. In the final part of the paper the examples of computations are shown.
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  • [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., Mochnacki B., Analysis of thermal processes occurring in tissue with a tumor region using the BEM, Journal of Theoretical and Applied Mechanics 2002, 1, 40, 101-112.
  • [4] Majchrzak E., Boundary element method in heat transfer, Publication of Czestochowa University of Technology, Czestochowa 2001 (in Polish).
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bwmeta1.element.baztech-article-BPC6-0004-0019
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