On the Thermoregulation in the human microvascular system

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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On the Thermoregulation in the human microvascular system. / Deuflhard, Peter; Hochmuth, Reinhard.
in: Proceedings in applied mathematics and mechanics, Jahrgang 3, Nr. 1, 01.12.2003, S. 378-379.

Publikation: Beiträge in ZeitschriftenZeitschriftenaufsätzeForschungbegutachtet

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@article{6329de63b9ce405fb30a2afac1d229c9,
title = "On the Thermoregulation in the human microvascular system",
abstract = "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.",
keywords = "Mathematics",
author = "Peter Deuflhard and Reinhard Hochmuth",
note = "Copyright {\textcopyright} 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim",
year = "2003",
month = dec,
day = "1",
doi = "10.1002/pamm.200310461",
language = "English",
volume = "3",
pages = "378--379",
journal = "Proceedings in applied mathematics and mechanics",
issn = "1617-7061",
publisher = "Wiley-VCH Verlag",
number = "1",

}

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 -

DOI

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