Introduction to Numerical Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Ausgabe: | Third Edition |
| Schriftenreihe: | Texts in Applied Mathematics
12 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis |
| Beschreibung: | Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs |
| Beschreibung: | 1 Online-Ressource (XVI, 746 p) |
| ISBN: | 9780387217383 9781441930064 |
| ISSN: | 0939-2475 |
| DOI: | 10.1007/978-0-387-21738-3 |
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| 650 | 4 | |a Analysis | |
| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Computational Mathematics and Numerical Analysis | |
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Datensatz im Suchindex
| _version_ | 1804153089075183616 |
|---|---|
| adam_text | TABLE OF CONTENTS
1
INTRODUCTION...........................................................................................................................
1
1.1 HEART
DEVELOPMENT...................................................................................................
2
1.1.1 HEART DEVELOPMENT IN HIGHER VERTEBRATES
..................................................................
2
1.1.2 ESTABLISHMENT OF CARDIAC LEFT-RIGHT
ASYMMETRY..........................................................2
1.1.3 CARDIAC LOOPING IN HIGHER VERTEBRATES
.......................................................................
3
1.1.4 ZEBRAFISH AS A MODEL SYSTEM FOR HEART
DEVELOPMENT................................................4
1.1.5 HEART DEVELOPMENT IN
ZEBRAFISH..................................................................................
4
1.1.6 CARDIAC LOOPING IN
ZEBRAFISH.......................................................................................7
1.1.7 REGULATION OF CARDIAC
LOOPING.....................................................................................8
1.2 BMP
SIGNALING...........................................................................................................
11
1.2.1 BMP SIGNALING
PATHWAY...............................................................................................11
1.2.2 BMP SIGNALING FUNCTIONS DURING HEART DEVELOPMENT
.................................................
13
1.2.3 IMPACT OF BMP SIGNALING ON CELL
MORPHOLOGIES..........................................................14
2 AIMS OF THE
STUDY...............................................................................................................
15
3 MATERIAL AND
METHODS.....................................................................................................
16
3.1
MATERIAL.....................................................................................................................
16
3.1.1 CONSUMPTION ITEMS
.....
..............................................................................................16
3.1.2
KITS.............................................................................................................................
17
3.1.3
INSTRUMENTS................................................................................................................17
3.1.4
SOFTWARE.....................................................................................................................
18
3.1.5 CHEMICALS AND
SOLUTIONS..........................................................................................
19
3.1.6 BUFFERS AND M
EDIA.....................................................................................................
21
3.1.7
PLASMIDS....................................................................................................................22
3.1.8
ANTIBODIES..................................................................................................................22
3.1.9
MORPHOLINES..............................................................................................................
23
3.1.10
BACTERIA......................................................................................................................23
3.1.11 TRANSGENIC AND MUTANT ZEBRAFISH
LINES...................................................................
23
3.2 MOLECULAR
BIOLOGY.....................................................................................................24
3.2.1 TOTAL RNA
ISOLATION...................................................................................................
24
3.2.2 SYNTHESIS OF CDNA VIA REVERSE
TRANSCRIPTION...........................................................24
3.2.3 PC R
...........................................................................................................................24
3.2.4 RESTRICTION
DIGESTS....................................................................................................
25
3.2.5 AGAROSE GEL
ELECTROPHORESIS.....................................................................................25
3.2.6 GEL
EXTRACTION............................................................................................................
25
3.2.7 GATEWAY
CLONING.......................................................................................................
25
3.2.8 TRANSFORMATION OF
BACTERIA.......................................................................................26
3.2.9 DNA
ISOLATION............................................................................................................
26
3.2.10
SEQUENCING................................................................................................................26
3.3 HANDLING OF
ZEBRAFISH...............................................................................................27
3.3.1 FISH
MAINTENANCE.....................................................................................................
27
3.3.2 EMBRYO
INJECTION.......................................................................................................
27
3.3.3 OVEREXPRESSION VIA
HEAT-SHOCK................................................................................27
3.3.4 PHARMACOLOGICAL
TREATMENTS.....................................................................................27
3.3.5 EX VIVO CULTURE OF EXTRACTED
HEARTS...........................................................................28
3.3.6
IMMUNOHISTOCHEMISTRY..............................................................................................
28
3.3.7 SPECIMEN
PREPARATION..............................................................................................
28
3.3.8 CONFOCAL IMAGING OF FIXED SPECIMEN
.......................................................................
28
3.3.9 CONFOCAL IMAGING OF LIVE
EMBRYOS............................................................................29
3.4 DATA
ANALYSIS.............................................................................................................
29
3.4.1 IMAGE
PROCESSING.....................................................................................................
29
3.4.2
MEASUREMENTS...........................................................................................................29
3.4.3 STATISTICAL
ANALYSIS.....................................................................................................30
4
RESULTS.....................................................................................................................................31
4.1 ZEBRAFISH 8-LOOPING INVOLVES MULTIPLE BIOMECHANICAL COMPONENTS
..............
31
4.1.1 PLANAR BENDING OF THE HEART
TUBE..............................................................................
31
4.1.2 ASYMMETRIC BALLOONING OF THE HEART CHAMBERS
........................................................
32
4.1.3 TORSION OF THE HEART TUBE
..........................................................................................
37
4.2 BMP ACTIVITY IS PRONOUNCED WITHIN MYOCARDIAL CELLS OF THE SUPERIOR
AVC... 39
4.3 INHIBITION OF BMP SIGNALING LEADS TO LOOPING DEFECTS
........................................
41
4.3.1 TWO DIFFERENT SMALL-MOLECULE BMP INHIBITORS PREVENT 8-LOOPING
............................
41
4.3.2 MYOCARD-SPECIFIC OVEREXPRESSION OF THE ENDOGENOUS BMP ANTAGONIST
NOGGINS PREVENTS
3-LOOPING.....................................................................................44
4.3.3 MYOCARD-SPECIFIC OVEREXPRESSION OF BMP2B AND BMP4 LIGANDS DOES NOT
AFFECT
3-LOOPING..........................................................................................................46
4.4 REGULATION OF BMP ACTIVITY WITHIN THE SUPERIOR
AVC...........................................47
4.4.1 BMP SIGNALING IS INDUCED INDEPENDENTLY OF NODAL SIGNALING
....................................
47
4.4.2 BMP ASYMMETRY IS NOT DEPENDENT ON WNT SIGNALING BETWEEN 30-54 HPF
..............
48
4.4.3 RETINOIC ACID SIGNALING IS NOT REQUIRED FOR BMP SIGNALING
INDUCTION AND
MAINTENANCE IN THE
AVC...........................................................................................
50
4.4.4 LOSS OF EPHRIN SIGNALING AFFECTS 8-LOOPING MORPHOLOGY AND
MYOCARDIAL BMP
SIGNALING ACTIVITY IN THE
AVC.....................................................................................55
4.4.5 ALTERATION OF HEMODYNAMIC FORCES AFFECTS 8-LOOPING MORPHOLOGY
INDEPENDENTLY OF MYOCARDIAL BMP SIGNALING WITHIN THE
AVC....................................57
4.5 EFFECT OF BMP ON PLANAR HEART TUBE
BENDING...................................................... 61
4.5.1 BMP INHIBITION CAUSES REDUCED BENDING OF THE HEART TUBE AND MORE
CUBOIDAL
CELL MORPHOLOGIES IN THE SUPERIOR AVC
....................................................................
61
4.5.2 EMBRYOS TREATED WITH LDN, BUT NOT K02288 HAVE AN INCREASED YOLK
VOLUME
......
63
4.5.3 8-LOOPING IS INDEPENDENT OF YOLK
VOLUME.................................................................
64
4.6 EFFECT OF BMP INHIBITION ON ASYMMETRIC
BALLOONING..........................................66
4.6.1 BMP AFFECTS REGIONAL CELL MORPHOLOGIES DURING ASYMMETRIC
BALLOONING.................66
5
DISCUSSION..............................................................................................................................
68
5.1 THREE MORPHOLOGICAL COMPONENTS CONTRIBUTE TO CARDIAC S-LOOPING
.............
68
5.1.1 PLANAR
BENDING.........................................................................................................
68
5.1.2 ASYMMETRIC
BALLOONING..............................................................................................
69
5.1.3
TORSION.......................................................................................................................69
5.2 THE ROLE OF BMP SIGNALING DURING CARDIAC
S-LOOPING.........................................70
5.3 BMP SIGNALING AFFECTS PLANAR BENDING AND ASYMMETRIC BALLOONING
71
5.4 REGULATION OF BMP SIGNALING ACTIVITY IN THE SUPERIOR AVC
...............................
73
5.4.1 NODAL
SIGNALING..........................................................................................................73
5.4.2 WNT
SIGNALING.............................................................................................................73
5.4.3 RA
SIGNALING...............................................................................................................74
5.4.4 EPH/EPHRIN
SIGNALING.................................................................................................
74
5.4.5 HEMODYNAMIC
FORCES................................................................................................
75
6 CONCLUDING REMARKS AND
PERSPECTIVES...................................................................77
7
REFERENCES.............................................................................................................................79
8
APPENDIX...................................................................................................................................
90
8.1 SUPPLEMENTAL
MATERIAL...........................................................................................
90
8.2 LIST OF
ABBREVIATIONS............................................................................................
104
8.3 LIST OF
FIGURES.........................................................................................................107
8.4 LIST OF
TABLES...........................................................................................................108
9
CONTRIBUTIONS.....................................................................................................................
109
10 CURRICULUM
VITAE...............................................................................................................
110
11 OWN PUBLICATIONS AND MANUSCRIPTS
.........................................................................
113
12
ACKNOWLEDGEMENTS.........................................................................................................
114
13 DECLARATION
115
|
| any_adam_object | 1 |
| author | Stoer, Josef 1934- |
| author_GND | (DE-588)105888052 (DE-588)174089147 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 518 - Numerical analysis |
| dewey-raw | 518 |
| dewey-search | 518 |
| dewey-sort | 3518 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-387-21738-3 |
| edition | Third Edition |
| format | Electronic eBook |
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| series | Texts in Applied Mathematics |
| series2 | Texts in Applied Mathematics |
| spelling | Stoer, Josef 1934- Verfasser (DE-588)105888052 aut Introduction to Numerical Analysis by J. Stoer, R. Bulirsch Third Edition New York, NY Springer New York 2002 1 Online-Ressource (XVI, 746 p) txt rdacontent c rdamedia cr rdacarrier Texts in Applied Mathematics 12 0939-2475 Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs Mathematics Global analysis (Mathematics) Computer science / Mathematics Numerical analysis Numerical Analysis Analysis Applications of Mathematics Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik (DE-588)4042805-9 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Numerische Mathematik (DE-588)4042805-9 s 2\p DE-604 Bulirsch, Roland 1932-2022 Sonstige (DE-588)174089147 oth Texts in Applied Mathematics 12 (DE-604)BV002476038 12 https://doi.org/10.1007/978-0-387-21738-3 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027854390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stoer, Josef 1934- Introduction to Numerical Analysis Texts in Applied Mathematics Mathematics Global analysis (Mathematics) Computer science / Mathematics Numerical analysis Numerical Analysis Analysis Applications of Mathematics Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| subject_GND | (DE-588)4042805-9 (DE-588)4123623-3 |
| title | Introduction to Numerical Analysis |
| title_auth | Introduction to Numerical Analysis |
| title_exact_search | Introduction to Numerical Analysis |
| title_full | Introduction to Numerical Analysis by J. Stoer, R. Bulirsch |
| title_fullStr | Introduction to Numerical Analysis by J. Stoer, R. Bulirsch |
| title_full_unstemmed | Introduction to Numerical Analysis by J. Stoer, R. Bulirsch |
| title_short | Introduction to Numerical Analysis |
| title_sort | introduction to numerical analysis |
| topic | Mathematics Global analysis (Mathematics) Computer science / Mathematics Numerical analysis Numerical Analysis Analysis Applications of Mathematics Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik (DE-588)4042805-9 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Computer science / Mathematics Numerical analysis Numerical Analysis Analysis Applications of Mathematics Computational Mathematics and Numerical Analysis Informatik Mathematik Numerische Mathematik Lehrbuch |
| url | https://doi.org/10.1007/978-0-387-21738-3 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027854390&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002476038 |
| work_keys_str_mv | AT stoerjosef introductiontonumericalanalysis AT bulirschroland introductiontonumericalanalysis |