Geometric Dynamics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2000
|
| Schriftenreihe: | Mathematics and Its Applications
513 |
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis |
| Beschreibung: | Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (Lorentz-Udri~te world-force law). In other words, we create a wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or Finsler-Jacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc |
| Beschreibung: | 1 Online-Ressource (XVI, 395 p) |
| ISBN: | 9789401141871 9789401058223 |
| DOI: | 10.1007/978-94-011-4187-1 |
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| 490 | 0 | |a Mathematics and Its Applications |v 513 | |
| 500 | |a Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (Lorentz-Udri~te world-force law). In other words, we create a wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or Finsler-Jacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc | ||
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| 650 | 4 | |a Mathematical optimization | |
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| 650 | 4 | |a Applications of Mathematics | |
| 650 | 4 | |a Differential Geometry | |
| 650 | 4 | |a Optimization | |
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Datensatz im Suchindex
| _version_ | 1804153100276072448 |
|---|---|
| adam_text | I. TABLE OF CONTENTS
I. TABLE OF
CONTENTS.................................................................................................................3
II. LIST OF ABBREVIATIONS (IN ORDER OF
APPEARANCE)...........................................................7
III. INDEX OF
TABLES.................................................................................................................
9
IV. INDEX OF
FIGURES..............................................................................................................12
PRELIMINARY REM
ARK..............................................................................................................
14
1.
INTRODUCTION...................................................................................................................
15
1.1 BACKGROUND OF LUNG CANCER
.................................................................................
16
1.1.1
EPIDEMIOLOGY..................................................................................................16
1.1.2 RISK FACTORS AND
CARCINOGENESIS................................................................
17
1.1.3 CLINICAL
DIAGNOSTICS.......................................................................................
18
1.1.4 TUMOR CLASSIFICATION AND
HISTOLOGY.............................................................19
1.1.5 TREATM
ENT.......................................................................................................
19
1.2 SYMPTOMS AND DISEASE-RELATED IMPAIRMENT
...................................................
21
1.3 PHYSICAL ACTIVITY AND EXERCISE IN LUNG CANCER PATIENTS
................................
22
1.4 INTENTION OF THIS
DISSERTATION................................................................................27
1.4.1 AIMS AND OBJECTIVES OF THIS THESIS
................................................................
28
2. METHODS AND
DESIGN..................................................................................................
35
2.1 PHYSICAL EXERCISE IN ADVANCED CANCER PATIENTS UNDERGOING PALLIATIVE
TREATMENT (SYSTEMATIC LITERATURE REVIEW )
...................................................................
35
2.1.1 SEARCH STRATEGY AND SELECTION CRITERIA
35
2.1.2 DATA EXTRACTION AND VALIDITY
ASSESSMENT......................................................36
2.1.3 RATING OF STUDY
QUALITY......................................................................................
37
2.1.4 STATISTICAL
ANALYSES............................................................................................37
2.2 POSITIVE STUDY: PHYSICAL EXERCISE PROGRAM IN NON-OPERABLE LUNG
CANCER PATIENTS UNDERGOING PALLIATIVE TREATMENT (STUDY
DESIGN)........................38
2.2.1 STUDY
DESIGN......................................................................................................
38
2.2.2 PATIENTS AND
SETTING...........................................................................................39
2.2.3 STUDY
INTERVENTIONS............................................................................................39
2.2.4 PHYSICAL FUNCTION
TESTS......................................................................................42
2.3 PHYSICAL EXERCISE BEHAVIOR AND PERFORMANCE STATUS IN PATIENTS WITH
ADVANCED LUNG CANCER (CROSS-SECTIONAL BASELINE DATA ANALYSIS)
......................
43
2.3.1 PATIENT
CHARACTERISTICS......................................................................................43
2.3.2 PHYSICAL
PERFORMANCE.......................................................................................44
2.3.3 EXERCISE AND WALKING
BEHAVIOR.......................................................................44
2.3.4 COMPARISON OF PATIENT AND REFERENCE D A TA
..................................................45
2.3.5 STATISTICAL
ANALYSES...........................................................................................
45
2.4 EFFECTS OF A 24-WEEK EXERCISE PROGRAM IN PATIENTS WITH ADVANCED LUNG
CANCER (INTERVENTION ANALYSIS INCLUDING PHYSICAL PERFORMANCE PARAMETER)
.......
46
2.4.1 INTERVENTION
RESULTS...........................................................................................
46
2.4.2 PATIENT ADHERENCE AND COMPLETION RATES
.....................................................
46
2.4.3 STATISTICAL ANALYSES
48
3.
RESULTS...........................................................................................................................
50
3.1 PHYSICAL EXERCISE IN ADVANCED CANCER PATIENTS UNDERGOING PALLIATIVE
T REATM
ENT..........................................................................................................................50
3.2 PHYSICAL EXERCISE BEHAVIOR AND PERFORMANCE STATUS IN PATIENTS WITH
ADVANCED LUNG C
ANCER..................................................................................................55
3.2.1 EXERCISE AND WALKING
BEHAVIOR.......................................................................56
3.2.2 PHYSICAL
PERFORMANCE.......................................................................................
57
3.2.3 DETERMINANTS OF PHYSICAL
PERFORMANCE......................................................... 59
3.3 EFFECTS OF A 24-WEEK PHYSICAL EXERCISE INTERVENTION IN PATIENTS WITH
ADVANCED LUNG C
ANCER.................................................................................................
62
3.3.1 PART 1: INTERVENTION RESULTS FROM TO TO T2 (24
WEEKS)................................67
3.3.2 PART 2A: INTERVENTION RESULTS FROM TO TO T 1
.........................................79
3.3.3 PART 2B: INTERVENTION RESULTS FROM T 1 TO T 2
.........................................92
4.
DISCUSSION.....................................................................................................................
97
4.1 MAIN
FINDINGS..............................................................................................................
97
4.2 PHYSICAL EXERCISE IN PATIENTS WITH ADVANCED CANCER UNDERGOING
PALLIATIVE
T REATM
ENT.........................................................................................................................
99
4.3 PHYSICAL EXERCISE BEHAVIOR AND PERFORMANCE STATUS IN PATIENTS WITH
ADVANCED LUNG C
ANCER...............................................................................................
101
4.4 EFFECTS OF A 24-WEEK PHYSICAL EXERCISE PROGRAM IN PATIENTS WITH
ADVANCED
LUNG
CANCER...................................................................................................................104
4.5 CONCLUSION
112
5.
SUMMARY......................................................................................................................114
6.
REFERENCES..................................................................................................................
116
7.
PUBLICATIONS.................................................................................................................132
7.1 PEER-REVIEWED
PUBLICATIONS...................................................................................132
7.2 OTHER
PUBLICATIONS...................................................................................................
132
7.3 ORAL
PRESENTATIONS..................................................................................................132
7.4 POSTER
PRESENTATIONS..............................................................................................
133
CURRICULUM VITA E
...............................................................................................................134
ACKNOWLEDGEMENTS.........................................................................................................
136
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| spelling | Udrişte, Constantin Verfasser aut Geometric Dynamics by Constantin Udrişte Dordrecht Springer Netherlands 2000 1 Online-Ressource (XVI, 395 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 513 Geometric dynamics is a tool for developing a mathematical representation of real world phenomena, based on the notion of a field line described in two ways: -as the solution of any Cauchy problem associated to a first-order autonomous differential system; -as the solution of a certain Cauchy problem associated to a second-order conservative prolongation of the initial system. The basic novelty of our book is the discovery that a field line is a geodesic of a suitable geometrical structure on a given space (Lorentz-Udri~te world-force law). In other words, we create a wider class of Riemann-Jacobi, Riemann-Jacobi-Lagrange, or Finsler-Jacobi manifolds, ensuring that all trajectories of a given vector field are geodesics. This is our contribution to an old open problem studied by H. Poincare, S. Sasaki and others. From the kinematic viewpoint of corpuscular intuition, a field line shows the trajectory followed by a particle at a point of the definition domain of a vector field, if the particle is sensitive to the related type of field. Therefore, field lines appear in a natural way in problems of theoretical mechanics, fluid mechanics, physics, thermodynamics, biology, chemistry, etc Mathematics Computer science / Mathematics Global differential geometry Mathematical optimization Mathematical Modeling and Industrial Mathematics Applications of Mathematics Differential Geometry Optimization Computational Mathematics and Numerical Analysis Informatik Mathematik Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 s 1\p DE-604 https://doi.org/10.1007/978-94-011-4187-1 Verlag Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027859348&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 |
| spellingShingle | Udrişte, Constantin Geometric Dynamics Mathematics Computer science / Mathematics Global differential geometry Mathematical optimization Mathematical Modeling and Industrial Mathematics Applications of Mathematics Differential Geometry Optimization Computational Mathematics and Numerical Analysis Informatik Mathematik Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| subject_GND | (DE-588)4137931-7 |
| title | Geometric Dynamics |
| title_auth | Geometric Dynamics |
| title_exact_search | Geometric Dynamics |
| title_full | Geometric Dynamics by Constantin Udrişte |
| title_fullStr | Geometric Dynamics by Constantin Udrişte |
| title_full_unstemmed | Geometric Dynamics by Constantin Udrişte |
| title_short | Geometric Dynamics |
| title_sort | geometric dynamics |
| topic | Mathematics Computer science / Mathematics Global differential geometry Mathematical optimization Mathematical Modeling and Industrial Mathematics Applications of Mathematics Differential Geometry Optimization Computational Mathematics and Numerical Analysis Informatik Mathematik Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| topic_facet | Mathematics Computer science / Mathematics Global differential geometry Mathematical optimization Mathematical Modeling and Industrial Mathematics Applications of Mathematics Differential Geometry Optimization Computational Mathematics and Numerical Analysis Informatik Mathematik Differenzierbares dynamisches System |
| url | https://doi.org/10.1007/978-94-011-4187-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027859348&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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