On the Thermoregulation in the human microvascular system
Research output: Journal contributions › Journal articles › Research › peer-review
Standard
On the Thermoregulation in the human microvascular system. / Deuflhard, Peter; Hochmuth, Reinhard.
In: Proceedings in applied mathematics and mechanics, Vol. 3, No. 1, 01.12.2003, p. 378-379.Research output: Journal contributions › Journal articles › Research › peer-review
Harvard
APA
Vancouver
Bibtex
}
RIS
TY - JOUR
T1 - On the Thermoregulation in the human microvascular system
AU - Deuflhard, Peter
AU - Hochmuth, Reinhard
N1 - Copyright © 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
PY - 2003/12/1
Y1 - 2003/12/1
N2 - The bio-heat transfer equation is a macroscopic model for describing the heat transfer in microvascular tissue. So far the derivation of the Helmholtz term arising in the bio-heat transfer equation is not completely satisfactory. Our results show that this term may be understood as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. In view of a future integration of the bio-heat transfer equation in a heterogeneous heat distribution model we present also asymptotic estimtates for first order correctors.
AB - The bio-heat transfer equation is a macroscopic model for describing the heat transfer in microvascular tissue. So far the derivation of the Helmholtz term arising in the bio-heat transfer equation is not completely satisfactory. Our results show that this term may be understood as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. In view of a future integration of the bio-heat transfer equation in a heterogeneous heat distribution model we present also asymptotic estimtates for first order correctors.
KW - Mathematics
U2 - 10.1002/pamm.200310461
DO - 10.1002/pamm.200310461
M3 - Journal articles
VL - 3
SP - 378
EP - 379
JO - Proceedings in applied mathematics and mechanics
JF - Proceedings in applied mathematics and mechanics
SN - 1617-7061
IS - 1
ER -