Multiscale analysis for the bio-heat transfer equation - The nonisolated case
- verfasst von
- Reinhard Hochmuth, Peter Deuflhard
- 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.
- Externe Organisation(en)
-
Technische Universität Bergakademie Freiberg
Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB)
- Typ
- Artikel
- Journal
- Mathematical Models and Methods in Applied Sciences
- Band
- 14
- Seiten
- 1621-1634
- Anzahl der Seiten
- 14
- ISSN
- 0218-2025
- Publikationsdatum
- 11.2004
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Modellierung und Simulation, Angewandte Mathematik
- Elektronische Version(en)
-
https://doi.org/10.1142/S0218202504003775 (Zugang:
Unbekannt)