Linear models in biology [Linear systems analysis with biological applications]
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Chichester
Horwood
1985
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Ellis Horwood series in mathematics and its applications
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 100 | 1 | |a Cullen, Michael R. |d 1943-1999 |e Verfasser |0 (DE-588)1035384868 |4 aut | |
| 245 | 1 | 0 | |a Linear models in biology |b [Linear systems analysis with biological applications] |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Chichester |b Horwood |c 1985 | |
| 300 | |a 213 Seiten |b Illustrationen, Diagramme | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Ellis Horwood series in mathematics and its applications | |
| 650 | 7 | |a Mathematics |2 cabt | |
| 650 | 7 | |a Biology |2 cabt | |
| 650 | 4 | |a Algèbre linéaire | |
| 650 | 4 | |a Biologie - Modèles mathématiques | |
| 650 | 4 | |a Équations différentielles | |
| 650 | 4 | |a Mathematik | |
| 650 | 4 | |a Mathematisches Modell | |
| 650 | 4 | |a Algebras, Linear | |
| 650 | 4 | |a Biology | |
| 650 | 4 | |a Biology |x Mathematical models | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Models, Theoretical | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-002222130 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 1001 2022 A 1402 |
|---|---|
| DE-BY-TUM_katkey | 2616628 |
| DE-BY-TUM_location | Mag |
| DE-BY-TUM_media_number | 040009508598 |
| _version_ | 1820886928912809984 |
| adam_text | Contents
Introduction 9
1 Matrix Representation of Compartment Models
1.1 Introduction to Compartment Models 13
1.2 Transfer coefficients 15
1.3 Discrete transfers 17
1.4 Continuous transfers 19
Exercises 21
* References 26
2 Solutions by Eigenvalue Analysis
2.1 Eigenvalue—Eigenvector solutions 27
2.2 Solving initial value problems 28
2.3 Repeated eigenvalues 32
Exercises 34
References 36
3 Computer Implementation
3.1 The necessary subroutines 37
3.2 Spectral decompositions and the power method 38
Exercises 42
References 44
6 Contents
4 The Leslie Matrix Model
4.1 Model assumptions and equations 45
4.2 Eigenvalue solutions 48
4.3 Estimating model parameters 50
4.4 Eigenvalue—Eigenvector theorems for Leslie matrices 51
Exercises 55
References 62
5 Generalizations of the Leslie Matrix Model
5.1 Survival in the last age class 63
5.2 A two sex model 66
5.3 A forest harvesting model 68
Exercises 72
References 76
6 Harvesting Matrices and Linear Programming
6.1 Modeling the harvest 77
6.2 Conservation constraints 19
6.3 Solutions by linear programming 80
6.4 Model modifications 86
Exercises 89
References 93
7 Driving Functions and Non homogeneous Linear Systems
7.1 Driving functions 95
7.2 Solving a non homogeneous system 100
7.3 Constructing particular solutions 100
Exercises 105
References 108
8 An Introduction to Tracer Methods in Physiology
8.1 Bath tub models 109
8.2 The Stewart Hamilton method for measuring cardiac output 112
8.3 Continuous infusion into a compartment 115
8.4 Elementary pharmacokinetics 119
Exercises 121
References 125
Further reading 125
9 Parameter Estimation in Two Compartment Models
9.1 Introduction 127
9.2 The homogeneous case 128
9.3 The non homogeneous case 133
9.4 Parameter estimation in multi compartmental models 135
Exercises 138
References 144
Contents 7
10 Approximations: Linearization and Numerical Methods
10.1 Systems of differential equations and stationary points 145
10.2 Linearization and local stability 149
10.3 Numerical methods 154
Exercises 158
References 161
Further reading 161
11 Applications to Systems Ecology
11.1 Introduction 163
11.2 Estimation of model parameters 164
11.3 Strontium dynamics in a tropical rain forest 168
11.4 Carbon cycling in the Aleutian ecosystem 174
Exercises 176
References 178
Further reading 179
12 Sensitivity Analysis
12.1 Introduction 181
12.2 State sensitivities to transfer coefficients 183
12.3 State sensitivity to initial conditions 185
12.4 Steady state sensitivities to transfer coefficients 186
12.5 Eigenvalue sensitivities to transfer coefficients 188
Exercises 192
Further reading 194
Answers and Hints to Odd Numbered Exercises 195
Index 210
|
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| author | Cullen, Michael R. 1943-1999 |
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| ctrlnum | (OCoLC)12216867 (DE-599)BVBBV003504480 |
| dewey-full | 574/.01/5125 574/.0724 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 574 - [Unassigned] |
| dewey-raw | 574/.01/5125 574/.0724 |
| dewey-search | 574/.01/5125 574/.0724 |
| dewey-sort | 3574 11 45125 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV003504480 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T11:00:04Z |
| institution | BVB |
| isbn | 047020205X 0470202068 0853128359 0853129053 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002222130 |
| oclc_num | 12216867 |
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| owner_facet | DE-384 DE-83 DE-188 DE-M49 DE-BY-TUM |
| physical | 213 Seiten Illustrationen, Diagramme |
| publishDate | 1985 |
| publishDateSearch | 1985 |
| publishDateSort | 1985 |
| publisher | Horwood |
| record_format | marc |
| series2 | Ellis Horwood series in mathematics and its applications |
| spellingShingle | Cullen, Michael R. 1943-1999 Linear models in biology [Linear systems analysis with biological applications] Mathematics cabt Biology cabt Algèbre linéaire Biologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Algebras, Linear Biology Biology Mathematical models Differential equations Models, Theoretical Lineares Modell (DE-588)4134827-8 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4134827-8 (DE-588)4006851-1 |
| title | Linear models in biology [Linear systems analysis with biological applications] |
| title_auth | Linear models in biology [Linear systems analysis with biological applications] |
| title_exact_search | Linear models in biology [Linear systems analysis with biological applications] |
| title_full | Linear models in biology [Linear systems analysis with biological applications] |
| title_fullStr | Linear models in biology [Linear systems analysis with biological applications] |
| title_full_unstemmed | Linear models in biology [Linear systems analysis with biological applications] |
| title_short | Linear models in biology |
| title_sort | linear models in biology linear systems analysis with biological applications |
| title_sub | [Linear systems analysis with biological applications] |
| topic | Mathematics cabt Biology cabt Algèbre linéaire Biologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Algebras, Linear Biology Biology Mathematical models Differential equations Models, Theoretical Lineares Modell (DE-588)4134827-8 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Mathematics Biology Algèbre linéaire Biologie - Modèles mathématiques Équations différentielles Mathematik Mathematisches Modell Algebras, Linear Biology Mathematical models Differential equations Models, Theoretical Lineares Modell Biologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002222130&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT cullenmichaelr linearmodelsinbiologylinearsystemsanalysiswithbiologicalapplications |