Multiscale analysis for the bio-heat transfer equation - The nonisolated case

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External Research Organisations

  • TU Bergakademie Freiberg - University of Resources
  • Zuse Institute Berlin (ZIB)
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Details

Original languageEnglish
Pages (from-to)1621-1634
Number of pages14
JournalMathematical Models and Methods in Applied Sciences
Volume14
Issue number11
Publication statusPublished - Nov 2004
Externally publishedYes

Abstract

The bio-heat transfer equation is a macroscopic model for describing the heat transfer in microvascular tissue. In Ref. 8 the authors applied homogenization techniques to derive the bio-heat transfer equation as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. Here those results are generalized to a geometrical setting where the regions of blood are allowed to be connected, which covers more biologically relevant geometries. Moreover, asymptotic corrector results are derived under weaker assumptions.

Keywords

    Bio-heat transfer equation, Heat transfer, Homogenization, Hyperthermia, Robin boundary conditions

ASJC Scopus subject areas

Cite this

Multiscale analysis for the bio-heat transfer equation - The nonisolated case. / Hochmuth, Reinhard; Deuflhard, Peter.
In: Mathematical Models and Methods in Applied Sciences, Vol. 14, No. 11, 11.2004, p. 1621-1634.

Research output: Contribution to journalArticleResearchpeer review

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