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Application of General Boundary Element Method for Numerical Solution of Bioheat Transfer Equation

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Computational Modelling and Advanced Simulations

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 24))

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Abstract

The heat transfer processes proceeding in domain of living tissue are discussed. The typical model of bioheat transfer bases, as a rule, on the well known Pennes equation (heat diffusion equation with additional terms corresponding to the perfusion and metabolic heat sources). Here, the other approach basing on the dual-phase-lag equation (DPLE) is considered. This equation is supplemented by the adequate boundary and initial conditions. To solve the problem the general boundary element method is adapted. The examples of computations for 2D problem are presented in the final part of the paper.

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Acknowledgements

This work was supported by Grant No N N501 3667 34 sponsored by the Polish Ministry of Science and Higher Education.

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Authors and Affiliations

  1. Department for Strength of Materials and Computational Mechanics, Silesian University of Technology, Konarskiego 18a, 44-100, Gliwice, Poland

    E. Majchrzak

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  1. E. Majchrzak
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Correspondence to E. Majchrzak .

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Editors and Affiliations

  1. in Bratislava, Department of Mechanics, Slovak University of Technology, Ilkovičova 3, Bratislava, 812 19, Slovakia

    Justín Murín

  2. AFA General Milan Rastislav Štefánik, Demänová 393, Liptovsky Mikulas, 031 19, Slovakia

    Vladimír Kompiš

  3. Department of Mechanics, Slovak Univ. of Technology in Bratislava, Ilkovičova 3, Bratislava, 812 19, Slovakia

    Vladimír Kutiš

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Majchrzak, E. (2011). Application of General Boundary Element Method for Numerical Solution of Bioheat Transfer Equation. In: Murín, J., Kompiš, V., Kutiš, V. (eds) Computational Modelling and Advanced Simulations. Computational Methods in Applied Sciences, vol 24. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0317-9_18

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  • DOI: https://doi.org/10.1007/978-94-007-0317-9_18

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  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-0316-2

  • Online ISBN: 978-94-007-0317-9

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