Multiscale analysis for the bio-heat transfer equation - The nonisolated case
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Authors
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.
| Original language | English |
|---|---|
| Journal | Mathematical Models and Methods in Applied Sciences |
| Volume | 14 |
| Issue number | 11 |
| Pages (from-to) | 1621-1634 |
| Number of pages | 14 |
| ISSN | 0218-2025 |
| DOIs | |
| Publication status | Published - 01.11.2004 |
| Externally published | Yes |
Bibliographical note
Funding Information:
The first author has been supported by a Konrad Zuse Fellowship. The second author gratefully acknowledges cooperation within the former SFB 273 “Hyperthermia: Scientific Methods and Clinical Applications”. This work was supported by the DFG Research Center “Mathematics for Key Technologies” in Berlin.
- Mathematics - heat transfer, bi-heat transfer equation, hyperthermia, homogenization, robin boundary conditions