Stochastic models in biology:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Acad. Press
1974
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 269 S. graph. Darst. |
| ISBN: | 0122874609 |
Staff View
MARC
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| 245 | 1 | 0 | |a Stochastic models in biology |c Narendra S. Goel ; Nira Richter-Dyn |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
1 Introduction l
2 Random Processes Continuous in Time
and Discrete in State Space 5
2.0 Notation and Formulation 6
2.1 Unrestricted Processes 8
2.2 Restricted Processes 12
References 30
3 Random Processes Continuous in Time and State Space 32
3.0 Diffusion Equations—Derivations and Solutions 33
3.1 Unrestricted Processes (Singular Processes) 49
3.2 Restricted Processes 54
References 71
V
Contents
4 Population Growth and Extinction 73
4.1 Extinction of a Colonizing Species 75
4.2 Population Growth in a Random Environment 90
References 99
5 Population Growth of Two-Species Systems 100
5.1 Epidemics 102
5.2 Bacteriophage Growth 112
References 118
6 Dynamics of a Population of Interacting Species 120 1
6.1 Species Diversity on Islands 121
6.2 Population Growth of Individual Species in an Interacting
Population of Species 131
References 143
7 Population Genetics 144 f
7.1 Genetic Changes under Systematic Evolutionary Pressures—
Deterministic Equations 146
7.2 Genetic Changes in a Finite Population—Stochastic Equations 150
7.3 Genetic Changes in a Finite Population with Random Mating ]
and No Systematic Evolutionary Pressures 156 !
7.4 Genetic Changes in a Finite Population with Random Mating
and Mutation or Migration 159
7.5 Genetic Changes in a Finite Population with Random Mating
and Selection 164
7.6 Steady-State Distributions in a Finite Population with Random r
Mating, Mutation, Migration, and Selection 173
References 175
8 Firing of a Neuron I77
8.1 Discrete Models 180
8.2 Continuous Models 190
References 205
9 Chemical Kinetics 206
9.1 Conformational Changes of Biopolymers 206
9.2 Biosynthesis of Macromolecules 212
9.3 Enzyme Kinetics 215
References 222
vi .
Contents
10 Photosynthesis 224
References 233
11 Epilogue 234
References 243
Appendixes
A Calculation of rc and var(n) 245
B Differential Equation for the Generating Function of Birth and
Death Processes 247
C Calculation of Pn_m(t) for a Process with Constant Transition
Probabilities and a Reflecting State 249
D Analysis of a Process Confined between an Absorbing and a
Reflecting State 251
E Analysis of a Process Confined between Two Absorbing States 255
F Explicit Calculation of /,,,m(i) for a Process with Linear Transition
Probability Rates, Confined between Two Absorbing States 258
G Calculation of P(x y,t) for the OU and Wiener Processes 259
H Derivation of Moments of First Passage Time for a Process in a
Continuous State Space 264
Index 267
vii
|
| any_adam_object | 1 |
| author | Goel, Narendra S. 1941- Dyn, Nira |
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| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
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| indexdate | 2024-07-09T15:38:42Z |
| institution | BVB |
| isbn | 0122874609 |
| language | English |
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| physical | X, 269 S. graph. Darst. |
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| spelling | Goel, Narendra S. 1941- Verfasser (DE-588)136917321 aut Stochastic models in biology Narendra S. Goel ; Nira Richter-Dyn New York [u.a.] Acad. Press 1974 X, 269 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biologie - Modèles mathématiques Processus stochastiques Mathematisches Modell Biology Mathematical models Biometry Genetics, Population Models, Biological Probability Stochastic processes Biologie (DE-588)4006851-1 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Biologie (DE-588)4006851-1 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Stochastisches Modell (DE-588)4057633-4 s Dyn, Nira Verfasser (DE-588)1065934696 aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001306467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Goel, Narendra S. 1941- Dyn, Nira Stochastic models in biology Biologie - Modèles mathématiques Processus stochastiques Mathematisches Modell Biology Mathematical models Biometry Genetics, Population Models, Biological Probability Stochastic processes Biologie (DE-588)4006851-1 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches Modell (DE-588)4057633-4 gnd |
| subject_GND | (DE-588)4006851-1 (DE-588)4057630-9 (DE-588)4057633-4 |
| title | Stochastic models in biology |
| title_auth | Stochastic models in biology |
| title_exact_search | Stochastic models in biology |
| title_full | Stochastic models in biology Narendra S. Goel ; Nira Richter-Dyn |
| title_fullStr | Stochastic models in biology Narendra S. Goel ; Nira Richter-Dyn |
| title_full_unstemmed | Stochastic models in biology Narendra S. Goel ; Nira Richter-Dyn |
| title_short | Stochastic models in biology |
| title_sort | stochastic models in biology |
| topic | Biologie - Modèles mathématiques Processus stochastiques Mathematisches Modell Biology Mathematical models Biometry Genetics, Population Models, Biological Probability Stochastic processes Biologie (DE-588)4006851-1 gnd Stochastischer Prozess (DE-588)4057630-9 gnd Stochastisches Modell (DE-588)4057633-4 gnd |
| topic_facet | Biologie - Modèles mathématiques Processus stochastiques Mathematisches Modell Biology Mathematical models Biometry Genetics, Population Models, Biological Probability Stochastic processes Biologie Stochastischer Prozess Stochastisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001306467&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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