Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2013
|
| Schriftenreihe: | Berichte aus der Mathematik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 172 S. Ill., graph. Darst. |
| ISBN: | 9783844017281 |
Internformat
MARC
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| 245 | 1 | 0 | |a Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway |c Markus Daub |
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Datensatz im Suchindex
| _version_ | 1804152634344472576 |
|---|---|
| adam_text | CONTENTS
ABSTRACT/ZUSAMMENFASSUNG III
DANKSAGUNG
1
VII
1 INTRODUCTION 1
2 MATHEMATICAL MODEL OF THE CASPASE-3/8
FEEDBACK LOOP 7
2.1 BIOLOGICAL BACKGROUND OF THE CASPASE-3/8 FEEDBACK LOOP 8
2.2 GOVERNING EQUATIONS FOR THE REACTION NETWORK 12
2.3 SPATIALLY EXTENDED REACTION-DIFFUSION MODEL OF THE CASPASE-3/8
FEEDBACK
LOOP 13
2.4 STABILITY ANALYSIS FOR THE STEADY STATES OF THE REACTION SYSTEM 16
2.5 STABILITY ANALYSIS FOR THE STATIONARY SOLUTIONS OF THE
REACTION-DIFFUSION
SYSTEM 21
2.6 LOCAL EXISTENCE AND UNIQUENESS OF A SOLUTION OF THE
REACTION-DIFFUSION
SYSTEM 30
2.7 INVARIANT REGION FOR THE REACTION-DIFFUSION SYSTEM 31
2.8 NUMERICAL ANALYSIS OF SPATIAL INHIBITION EFFECTS 41
2.9 REACTION-DIFFUSION MODEL ON LARGE SPATIAL SCALES 49
2.9.1 EXISTENCE OF NONTRIVIAL SPATIO-TEMPORAL STRUCTURES OF SOLUTIONS .
. 51
2.9.2 SPATIAL INHIBITION EFFECTS ON LARGE SPATIAL SCALES 56
2.10 DISCUSSION 60
3 MATHEMATICAL MODEL
OF THE
RECEPTOR CLUSTERING
ON THE CELL
MEMBRANE 63
3.1 BIOLOGICAL BACKGROUND OF THE RECEPTOR CLUSTERING 64
3.2 PARTICLE MODEL OF THE CLUSTERING PROCESSES 66
3.3 MODEL OF THE PARTICLE TRANSLATION AND PARTICLE ROTATION 67
3.3.1 DERIVATION OF EQUATIONS FOR THE PARTICLE TRANSLATION 68
3.3.2 DERIVATION OF EQUATIONS FOR THE PARTICLE ROTATION 71
3.3.3 DISTINCTION OF CASES FOR DIFFERENT DEATH RECEPTOR STRUCTURES ....
74
3.3.4 MODELING THE INTERACTION BETWEEN THE PARTICLES 76
HTTP://D-NB.INFO/1031151850
3.3.5 PARTICLE .MODEL FOR THE DIFFERENT PARTICLE CONFIGURATIONS 87
3.4 EULER-MARUVAMA APPROXIMATION OF THE EQUATIONS 90
3.5 THE LINKED-CELL METHOD 93
3.6 RESULTS OF THE NUMERICAL SIMULATIONS 106
3.7 MAPPING OF THE ALGORITHMS ON GPGPU ARCHITECTURES 128
3.8 DISCUSSION 130
4 OUTLOOK 133
A APPENDIX 139
A.L COMPUTATION OF BIOLOGICAL QUANTITIES 139
A. 1.1 DETERMINATION OF THE TYPICAL CASPASE CONCENTRATION 139
A.1.2 DETERMINATION OF DIFFUSION COEFFICIENTS 139
A.2 DERIVATION OF THE BESSEL DIFFERENTIAL EQUATION FOR THE 2D LAPLACE
OPERATOR 140
A.3 UNSUITABLE INVARIANT REGION 141
A.4 FINITE DIFFERENCE METHOD FOR THE RADIALLY SYMMETRIC
REACTION-DIFFUSION
SYSTEM 144
A.5 FINITE DIFFERENCE METHOD FOR THE EXTENDED REACTION-DIFFUSION SYSTEM
. . . 147
GLOSSARY 156
LIST OF FIGURES 164
LIST OF TABLES 165
BIBLIOGRAPHY
172
|
| any_adam_object | 1 |
| author | Daub, Markus |
| author_GND | (DE-588)1033155020 |
| author_facet | Daub, Markus |
| author_role | aut |
| author_sort | Daub, Markus |
| author_variant | m d md |
| building | Verbundindex |
| bvnumber | BV042146136 |
| ctrlnum | (OCoLC)843421544 (DE-599)BSZ380794128 |
| dewey-full | 571.936015118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 571 - Physiology & related subjects |
| dewey-raw | 571.936015118 |
| dewey-search | 571.936015118 |
| dewey-sort | 3571.936015118 |
| dewey-tens | 570 - Biology |
| discipline | Biologie |
| format | Thesis Book |
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| id | DE-604.BV042146136 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T01:13:50Z |
| institution | BVB |
| isbn | 9783844017281 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027586009 |
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| physical | IX, 172 S. Ill., graph. Darst. |
| publishDate | 2013 |
| publishDateSearch | 2013 |
| publishDateSort | 2013 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Mathematik |
| spelling | Daub, Markus Verfasser (DE-588)1033155020 aut Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway Markus Daub Aachen Shaker 2013 IX, 172 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Mathematik Zugl.: Stuttgart, Univ., Diss., 2013 (Nicht für den Austausch) Apoptosis (DE-588)4291096-1 gnd rswk-swf Mathematische Modellierung (DE-588)7651795-0 gnd rswk-swf Signaltransduktion (DE-588)4318717-1 gnd rswk-swf Caspasen (DE-588)4688168-2 gnd rswk-swf Simulation (DE-588)4055072-2 gnd rswk-swf Langevin-Gleichung (DE-588)4166699-9 gnd rswk-swf Rezeptor (DE-588)4049722-7 gnd rswk-swf Tumor-Nekrose-Faktor (DE-588)4202932-6 gnd rswk-swf Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Apoptosis (DE-588)4291096-1 s Tumor-Nekrose-Faktor (DE-588)4202932-6 s Rezeptor (DE-588)4049722-7 s Signaltransduktion (DE-588)4318717-1 s Caspasen (DE-588)4688168-2 s Reaktions-Diffusionsgleichung (DE-588)4323967-5 s Langevin-Gleichung (DE-588)4166699-9 s DE-604 Mathematische Modellierung (DE-588)7651795-0 s Simulation (DE-588)4055072-2 s Erscheint auch als Online-Ausgabe Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027586009&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Daub, Markus Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway Apoptosis (DE-588)4291096-1 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Signaltransduktion (DE-588)4318717-1 gnd Caspasen (DE-588)4688168-2 gnd Simulation (DE-588)4055072-2 gnd Langevin-Gleichung (DE-588)4166699-9 gnd Rezeptor (DE-588)4049722-7 gnd Tumor-Nekrose-Faktor (DE-588)4202932-6 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| subject_GND | (DE-588)4291096-1 (DE-588)7651795-0 (DE-588)4318717-1 (DE-588)4688168-2 (DE-588)4055072-2 (DE-588)4166699-9 (DE-588)4049722-7 (DE-588)4202932-6 (DE-588)4323967-5 (DE-588)4113937-9 |
| title | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway |
| title_auth | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway |
| title_exact_search | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway |
| title_full | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway Markus Daub |
| title_fullStr | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway Markus Daub |
| title_full_unstemmed | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway Markus Daub |
| title_short | Mathematical modeling and numerical simulations of the extrinsic pro-apoptotic signaling pathway |
| title_sort | mathematical modeling and numerical simulations of the extrinsic pro apoptotic signaling pathway |
| topic | Apoptosis (DE-588)4291096-1 gnd Mathematische Modellierung (DE-588)7651795-0 gnd Signaltransduktion (DE-588)4318717-1 gnd Caspasen (DE-588)4688168-2 gnd Simulation (DE-588)4055072-2 gnd Langevin-Gleichung (DE-588)4166699-9 gnd Rezeptor (DE-588)4049722-7 gnd Tumor-Nekrose-Faktor (DE-588)4202932-6 gnd Reaktions-Diffusionsgleichung (DE-588)4323967-5 gnd |
| topic_facet | Apoptosis Mathematische Modellierung Signaltransduktion Caspasen Simulation Langevin-Gleichung Rezeptor Tumor-Nekrose-Faktor Reaktions-Diffusionsgleichung Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027586009&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT daubmarkus mathematicalmodelingandnumericalsimulationsoftheextrinsicproapoptoticsignalingpathway |