Multiscale analysis of 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. Here we use homogenization techniques to show that thi...
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2002
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| Series: | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin
2002,31 |
| Subjects: | |
| Summary: | 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. Here we use homogenization techniques to show that this term may be understood as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. An appropriate scaling of so-called heat transfer coefficients in Robin boundary conditions on tissue-blood boundaries is seen to play the crucial role. In view of a future applicaton of our new mathematical model for treatment planning in hyperthermia, we derive asymptotic estimates for the first order corrector." |
| Physical Description: | 20 S. Ill. |
Staff View
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| 520 | 3 | |a 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. Here we use homogenization techniques to show that this term may be understood as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. An appropriate scaling of so-called heat transfer coefficients in Robin boundary conditions on tissue-blood boundaries is seen to play the crucial role. In view of a future applicaton of our new mathematical model for treatment planning in hyperthermia, we derive asymptotic estimates for the first order corrector." | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Heat equation | |
| 700 | 1 | |a Hochmuth, Reinhard |e Verfasser |4 aut | |
| 810 | 2 | |a Konrad-Zuse-Zentrum für Informationstechnik Berlin |t ZIB-Report |v 2002,31 |w (DE-604)BV013191727 |9 2002,31 | |
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Record in the Search Index
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| author | Deuflhard, Peter 1944-2019 Hochmuth, Reinhard |
| author_GND | (DE-588)108205983 |
| author_facet | Deuflhard, Peter 1944-2019 Hochmuth, Reinhard |
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| author_sort | Deuflhard, Peter 1944-2019 |
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| bvnumber | BV020004011 |
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| indexdate | 2024-07-09T20:10:36Z |
| institution | BVB |
| language | English |
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| physical | 20 S. Ill. |
| publishDate | 2002 |
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| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
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| series2 | ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin |
| spelling | Deuflhard, Peter 1944-2019 Verfasser (DE-588)108205983 aut Multiscale analysis of thermoregulation in the human microvascular system Peter Deuflhard ; Reinhard Hochmuth Berlin Konrad-Zuse-Zentrum für Informationstechnik 2002 20 S. Ill. txt rdacontent n rdamedia nc rdacarrier ZIB-Report / Konrad-Zuse-Zentrum für Informationstechnik Berlin 2002,31 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. Here we use homogenization techniques to show that this term may be understood as asymptotic result of boundary value problems which provide a microscopic description for microvascular tissue. An appropriate scaling of so-called heat transfer coefficients in Robin boundary conditions on tissue-blood boundaries is seen to play the crucial role. In view of a future applicaton of our new mathematical model for treatment planning in hyperthermia, we derive asymptotic estimates for the first order corrector." Boundary value problems Heat equation Hochmuth, Reinhard Verfasser aut Konrad-Zuse-Zentrum für Informationstechnik Berlin ZIB-Report 2002,31 (DE-604)BV013191727 2002,31 |
| spellingShingle | Deuflhard, Peter 1944-2019 Hochmuth, Reinhard Multiscale analysis of thermoregulation in the human microvascular system Boundary value problems Heat equation |
| title | Multiscale analysis of thermoregulation in the human microvascular system |
| title_auth | Multiscale analysis of thermoregulation in the human microvascular system |
| title_exact_search | Multiscale analysis of thermoregulation in the human microvascular system |
| title_full | Multiscale analysis of thermoregulation in the human microvascular system Peter Deuflhard ; Reinhard Hochmuth |
| title_fullStr | Multiscale analysis of thermoregulation in the human microvascular system Peter Deuflhard ; Reinhard Hochmuth |
| title_full_unstemmed | Multiscale analysis of thermoregulation in the human microvascular system Peter Deuflhard ; Reinhard Hochmuth |
| title_short | Multiscale analysis of thermoregulation in the human microvascular system |
| title_sort | multiscale analysis of thermoregulation in the human microvascular system |
| topic | Boundary value problems Heat equation |
| topic_facet | Boundary value problems Heat equation |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT deuflhardpeter multiscaleanalysisofthermoregulationinthehumanmicrovascularsystem AT hochmuthreinhard multiscaleanalysisofthermoregulationinthehumanmicrovascularsystem |