Mathematical modeling for the life sciences:
Saved in:
| Format: | Electronic eBook |
|---|---|
| Language: | English French |
| Published: |
Berlin [u. a.]
Springer
2005
|
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Auch als Internetausgabe |
| Physical Description: | VI, 164 S. Ill. |
Staff View
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| 130 | 0 | |a Introduction aux modélisations mathématiques pour les sciences du vivant | |
| 245 | 1 | 0 | |a Mathematical modeling for the life sciences |c Jacques Istas |
| 264 | 1 | |a Berlin [u. a.] |b Springer |c 2005 | |
| 300 | |a VI, 164 S. |b Ill. | ||
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Record in the Search Index
| _version_ | 1804137328127508480 |
|---|---|
| adam_text | Contents
1 General
introduction
...................................... 1
1.1
Preface
................................................. 1
1.2
Structure
of the book
.................................... 2
1.3
Acknowledgments
....................................... 5
2
Continuous-time dynamical systems
....................... 7
2.1
Introduction
............................................ 7
2.2
Historical demographical models
........................... 9
2.3
Pest control: the spruce budworm
......................... 15
2.4
Interactions in biological systems
.......................... 18
2.5
Reaction-diffusion equations
.............................. 26
2.6
Bibliography
............................................ 35
2.7
Exercises
............................................... 36
3
Discrete-time dynamical systems
.......................... 45
3.1
Introduction
............................................ 45
3.2
Delay models
........................................... 46
3.3
Discrete logistic model
................................... 49
3.4
Tribolium dynamics
...................................... 53
3.5
Bibliography
............................................ 56
3.6
Exercises
............................................... 56
4
Game theory and evolution
................................ 59
4.1
Introduction
............................................ 59
4.2
Games, strategies and equilibria
........................... 60
4.3
Hawks and doves
........................................ 62
4.4
Bibliography
............................................ 65
4.5
Exercises
............................................... 65
VI Contents
5
Markov chains and diffusions
.............................. 67
5.1
Introduction
............................................ 67
5.2
Definitions and first properties
............................ 68
5.3
Subset classification
...................................... 72
5.4
Genetica!
drift
.......................................... 73
5.5
Invariant measure
....................................... 75
5.6
Continuous-time
......................................... 78
5.7
The domestication of pearl millet
.......................... 83
5.8
Bibliography
........................................___ 88
5.9
Exercises
............................................... 88
6
Random arborescent models
............................... 93
6.1
Introduction
............................................ 93
6.2
Temporal branching processes
............................. 94
6.3
Polymerase Chain Reaction
...............................104
6.4
Percolation
.............................................105
6.5
Spatial branching processes
...............................107
6.6
The colonization of Europe by oaks
........................110
6.7
Bibliography
............................................112
6.8
Exercises
...............................................113
7
Statistics
..................................................119
7.1
Introduction
............................................119
7.2
Maximum Likelihood Estimate
............................120
7.3
Localization of QTL
.....................................122
7.4
Asymptotical study of the likelihood
.......................124
7.5
The weevil life
..........................................128
7.6
Bibliography
............................................133
7.7
Exercises
...............................................134
A Appendices
................................................141
A.I Ordinary differential equations
............................141
A.
2
Evolution equations
......................................148
A.3 Probability
.............................................151
A.
4
Statistics
...............................................153
References
.....................................................157
Index
..........................................................163
|
| adam_txt |
Contents
1 General
introduction
. 1
1.1
Preface
. 1
1.2
Structure
of the book
. 2
1.3
Acknowledgments
. 5
2
Continuous-time dynamical systems
. 7
2.1
Introduction
. 7
2.2
Historical demographical models
. 9
2.3
Pest control: the spruce budworm
. 15
2.4
Interactions in biological systems
. 18
2.5
Reaction-diffusion equations
. 26
2.6
Bibliography
. 35
2.7
Exercises
. 36
3
Discrete-time dynamical systems
. 45
3.1
Introduction
. 45
3.2
Delay models
. 46
3.3
Discrete logistic model
. 49
3.4
Tribolium dynamics
. 53
3.5
Bibliography
. 56
3.6
Exercises
. 56
4
Game theory and evolution
. 59
4.1
Introduction
. 59
4.2
Games, strategies and equilibria
. 60
4.3
Hawks and doves
. 62
4.4
Bibliography
. 65
4.5
Exercises
. 65
VI Contents
5
Markov chains and diffusions
. 67
5.1
Introduction
. 67
5.2
Definitions and first properties
. 68
5.3
Subset classification
. 72
5.4
Genetica!
drift
. 73
5.5
Invariant measure
. 75
5.6
Continuous-time
. 78
5.7
The domestication of pearl millet
. 83
5.8
Bibliography
._ 88
5.9
Exercises
. 88
6
Random arborescent models
. 93
6.1
Introduction
. 93
6.2
Temporal branching processes
. 94
6.3
Polymerase Chain Reaction
.104
6.4
Percolation
.105
6.5
Spatial branching processes
.107
6.6
The colonization of Europe by oaks
.110
6.7
Bibliography
.112
6.8
Exercises
.113
7
Statistics
.119
7.1
Introduction
.119
7.2
Maximum Likelihood Estimate
.120
7.3
Localization of QTL
.122
7.4
Asymptotical study of the likelihood
.124
7.5
The weevil life
.128
7.6
Bibliography
.133
7.7
Exercises
.134
A Appendices
.141
A.I Ordinary differential equations
.141
A.
2
Evolution equations
.148
A.3 Probability
.151
A.
4
Statistics
.153
References
.157
Index
.163 |
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| spelling | Introduction aux modélisations mathématiques pour les sciences du vivant Mathematical modeling for the life sciences Jacques Istas Berlin [u. a.] Springer 2005 VI, 164 S. Ill. txt rdacontent c rdamedia cr rdacarrier Universitext Auch als Internetausgabe Biologie - Modèles mathématiques Biomathématiques Biometrie gtt Biométrie Stochastische modellen gtt Wiskundige modellen gtt Biowissenschaften Mathematisches Modell Biometry Life sciences Mathematical models Biomathematik (DE-588)4139408-2 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Angewandte Mathematik (DE-588)4142443-8 s Biomathematik (DE-588)4139408-2 s 1\p DE-604 Biologie (DE-588)4006851-1 s Mathematisches Modell (DE-588)4114528-8 s 2\p DE-604 Istas, Jacques 1966- Sonstige (DE-588)122197356 oth Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016283706&sequence=000002&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 | Mathematical modeling for the life sciences Biologie - Modèles mathématiques Biomathématiques Biometrie gtt Biométrie Stochastische modellen gtt Wiskundige modellen gtt Biowissenschaften Mathematisches Modell Biometry Life sciences Mathematical models Biomathematik (DE-588)4139408-2 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Biologie (DE-588)4006851-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4142443-8 (DE-588)4006851-1 (DE-588)4114528-8 |
| title | Mathematical modeling for the life sciences |
| title_alt | Introduction aux modélisations mathématiques pour les sciences du vivant |
| title_auth | Mathematical modeling for the life sciences |
| title_exact_search | Mathematical modeling for the life sciences |
| title_exact_search_txtP | Mathematical modeling for the life sciences |
| title_full | Mathematical modeling for the life sciences Jacques Istas |
| title_fullStr | Mathematical modeling for the life sciences Jacques Istas |
| title_full_unstemmed | Mathematical modeling for the life sciences Jacques Istas |
| title_short | Mathematical modeling for the life sciences |
| title_sort | mathematical modeling for the life sciences |
| topic | Biologie - Modèles mathématiques Biomathématiques Biometrie gtt Biométrie Stochastische modellen gtt Wiskundige modellen gtt Biowissenschaften Mathematisches Modell Biometry Life sciences Mathematical models Biomathematik (DE-588)4139408-2 gnd Angewandte Mathematik (DE-588)4142443-8 gnd Biologie (DE-588)4006851-1 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Biologie - Modèles mathématiques Biomathématiques Biometrie Biométrie Stochastische modellen Wiskundige modellen Biowissenschaften Mathematisches Modell Biometry Life sciences Mathematical models Biomathematik Angewandte Mathematik Biologie |
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| work_keys_str_mv | UT introductionauxmodelisationsmathematiquespourlessciencesduvivant AT istasjacques mathematicalmodelingforthelifesciences |