Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1621-1634 |
| Seitenumfang | 14 |
| Fachzeitschrift | Mathematical Models and Methods in Applied Sciences |
| Jahrgang | 14 |
| Ausgabenummer | 11 |
| Publikationsstatus | Veröffentlicht - Nov. 2004 |
| Extern publiziert | Ja |
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.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Modellierung und Simulation
- Mathematik (insg.)
- Angewandte Mathematik
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in: Mathematical Models and Methods in Applied Sciences, Jahrgang 14, Nr. 11, 11.2004, S. 1621-1634.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Multiscale analysis for the bio-heat transfer equation - The nonisolated case
AU - Hochmuth, Reinhard
AU - Deuflhard, Peter
N1 - 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.
PY - 2004/11
Y1 - 2004/11
N2 - 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.
AB - 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.
KW - Bio-heat transfer equation
KW - Heat transfer
KW - Homogenization
KW - Hyperthermia
KW - Robin boundary conditions
UR - http://www.scopus.com/inward/record.url?scp=8744285686&partnerID=8YFLogxK
U2 - 10.1142/S0218202504003775
DO - 10.1142/S0218202504003775
M3 - Article
AN - SCOPUS:8744285686
VL - 14
SP - 1621
EP - 1634
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
SN - 0218-2025
IS - 11
ER -