A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2013
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| Schlagworte: | |
| Online-Zugang: | kostenfrei https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20130627-1129376-0-9 Inhaltsverzeichnis |
| Beschreibung: | V, 133 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria |c Sabine Eisenhofer |
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Datensatz im Suchindex
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| adam_text | IMAGE 1
CONTENTS
PREFACE 1
1 BIOLOGICAL BACKGROUND 3
2 MATHEMATICAL MODELING OF MITOCHONDRIAL SWELLING 11
2.1 EXISTING MODELS 11
2.2 SPATIAL EFFECTS 17
2.2.1 MOTIVATION 17
2.2.2 IN VITRO SWELLING 20
2.2.3 IN VIVO SWELLING 21
2.3 THE MITOCHONDRIA MODEL 24
3 NON-DEGENERATE MITOCHONDRIA MODEL 31
3.1 NEUMANN BOUNDARY CONDITIONS 31
3.1.1 EXISTENCE AND UNIQUENESS OF GLOBAL SOLUTIONS 31
3.1.2 ASYMPTOTIC BEHAVIOR OF SOLUTIONS 45
3.1.3 CLASSIFICATION OF PARTIAL AND COMPLETE SWELLING 61
3.2 DIRICHLET BOUNDARY CONDITIONS 76
3.3 ROBIN BOUNDARY CONDITIONS 81
3.4 NUMERICAL SIMULATION 87
3.4.1 THE IN VITRO MODEL 87
3.4.2 THE IN VIVO MODEL 101
4 DEGENERATE MITOCHONDRIA MODEL 109
4.1 DEGENERATE DIFFUSION 109
4.2 PRELIMINARIES ILL
4.3 MODEL ANALYSIS 115
BIBLIOGRAPHY 133
HTTP://D-NB.INFO/104258818X
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 571 - Physiology & related subjects |
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| discipline | Biologie Mathematik |
| format | Thesis Book |
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| spelling | Eisenhofer, Sabine Verfasser aut A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria Sabine Eisenhofer 2013 V, 133 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Techn. Univ., Diss., 2013 Schwellung (DE-588)4302039-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf Mitochondrium (DE-588)4124939-2 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Mitochondrium (DE-588)4124939-2 s Schwellung (DE-588)4302039-2 s Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:91-diss-20130627-1129376-0-9 http://mediatum.ub.tum.de/node?id=1129376 Verlag kostenfrei Volltext https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20130627-1129376-0-9 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026122878&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eisenhofer, Sabine A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria Schwellung (DE-588)4302039-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Mitochondrium (DE-588)4124939-2 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4302039-2 (DE-588)4114528-8 (DE-588)4323967-5 (DE-588)4124939-2 (DE-588)4020929-5 (DE-588)4113937-9 |
| title | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria |
| title_auth | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria |
| title_exact_search | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria |
| title_full | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria Sabine Eisenhofer |
| title_fullStr | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria Sabine Eisenhofer |
| title_full_unstemmed | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria Sabine Eisenhofer |
| title_short | A coupled system of ordinary and partial differential equations modeling the swelling of mitochondria |
| title_sort | a coupled system of ordinary and partial differential equations modeling the swelling of mitochondria |
| topic | Schwellung (DE-588)4302039-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd Mitochondrium (DE-588)4124939-2 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Schwellung Mathematisches Modell Reaktions-Diffusionsgleichung Mitochondrium Gewöhnliche Differentialgleichung Hochschulschrift |
| url | http://mediatum.ub.tum.de/node?id=1129376 https://nbn-resolving.org/urn:nbn:de:bvb:91-diss-20130627-1129376-0-9 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026122878&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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