Dynamic models in biology:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2006
|
| Schriftenreihe: | Princeton paperbacks
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XXII, 329 S. Ill., graph. Darst. |
| ISBN: | 0691125899 0691118434 9780691118437 9780691125893 |
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| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2006 | |
| 300 | |a XXII, 329 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Biology |x methods | |
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| 650 | 4 | |a Models, Biological | |
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Datensatz im Suchindex
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| adam_text | CONTENTS LIST OFFIGURES IX LISTOFTABLES XV PREFACE XVUE D WHAT ARE
DYNAMIC MODELS? I 1.1 DESCRIPTIVE VERSUS MECHANISTIC MODELS 2 1.2
CHINOOK SALMON 4 1.3 BATHTUB MODELS 6 1.4 MANY BATHTUBS: COMPARTMENT
MODELS 7 1.4.1 ENZYME KINETICS 8 1.4.2 77IE MODEIMG PROCESS 11 1.4.3
PHARMACOKINETK MODELS 13 1.5 PHYSICS MODELS: RUNNING AND HOPPING 16 1.6
OPTIMIZATION MODELS 20 1.7 WHY BOTHER? 21 1.8 THEORETICAL VERSUS
PRACTICAL MODELS 24 1.9 WHAT SNEXT? 26 1.10 REFERENCES 28 0 MATRIX
MODELS AND STRUCTURED POPULATION DYNAMICS 3I 2.1 THE POPULATION BALANCE
LAW 32 2.2 AGE-STRUCTURED MODELS 33 2.2.1 THE LESIIE MATRIX 34 2.2.2
WARNING: PREBREEDING VERSUS POSTBREEDING MODELS 37 2.3 MATRIX MODELS
BASED ON STAGE CLASSES 38 2.4 MATRICES AND MATRIX OPERATIONS 42 2.4.1
REVIEW OFMATRIX OPERATIONS 43 VI CONTENTS 2.4.2 SOLUUEON OFTHE MATRIX
MODEL 2.5 EIGENVALUES AND A SECOND SOLUUEON OF THE MODEL 2.5.1 LEFT
EIGENVECTORS 2.6 SOME APPLICATIONS OF MATRIX MODELS 2.6.1 WHYDO WEAGE?
2.6.2 EIASTKITY ANALYSIS AND CONSERVATION BIOLOGY 2.6.3 HOW MUCH SHOULD
WE TRUST THESE MODELS? 2.7 GENERALIZING THE MATRIX MODEL 2.7.1
STOCHASTIC MATRIX MODELS 2.7.2 DENSITY-DEPENDENTMATRIX MODELS 2.7.3
CONTINUOUS SIZE DISTRIBUTIONS 2.8 SUMMARY AND CONCLUSIONS 2.9 APPENDIX
2.9.1 EXISTENCE AND NUMBER OF EIGENVALUES 2.9.2 REPRODUCTIVE VALUE 2.10
REFERENCES 0 MEMBRANE CHANNELS AND ACTION POTENTIALS 3.1 MEMBRANE
CURRENTS 3.1.1 CHANNEL GATING AND CONFORMATIONAL STATES 3.2 MARKOV
CHAINS 3.2.1 COIN TOSSING 3.2.2 MARKOV CHAINS 3.2.3 THE NEUROMUSCULAR
JUNCTION 3.3 VOLTAGE-GATED CHANNELS 3.4 MEMBRANES AS ELECTRICAL CIRCUITS
3.4.1 REVERSAL POTENTIAL 3.4.2 ACTION POTENTIALS 3.5 SUMMARY 3.6
APPENDIX: THE CENTRAL LIMIT THEOREM 3.7 REFERENCES EJ CELLULAR DYNAMICS:
PATHWAYS OF GENE EXPRESSION 4.1 BIOLOGICAL BACKGROUND 4.2 A GENE NETWORK
THAT ACTS AS A CLOCK 4.2.1 FORMULATING A MODEL 4.2.2 MODEL PREDKTIONS
4.3 NETWORKS THAT ACT AS A SWITCH 4.4 SYSTEMS BIOLOGY 4.4.1 COMPLEX
VERSUS SIMPLE MODELS 4.5 SUMMARY 4.6 REFERENCES 44 44 48 49 49 52 58 59
59 61 63 66 67 67 67 68 71 72 74 77 78 82 86 90 92 94 95 103 104 106 107
108 110 111 113 119 125 129 131 132 CONTENTS | VII DYNAMICAL SYSTEMS 135
5.1 GEOMETRY OF A SINGLE DIFFERENTIAL EQUATION 136 5.2 MATHEMATICAL
FOUNDATIONS: A FUNDAMENTAL THEOREM 138 5.3 LINEARIZATION AND LINEAR
SYSTEMS 141 5.3.1 EQUILIBRIUM POINTS 141 5.3.2 LINEARIZATION AT
EQUILIBRIA 142 5.3.3 SOIVING LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS
144 5.3.4 INVARIANT MANIFOLDS 149 5.3.5 PERIODIC ORBITS 150 5.4 PHASE
PLANES 151 5.5 AN EXAMPLE: THE MORRIS-LECAR MODEL 154 5.6 BIFURCATIONS
160 5.7 NUMERICAL METHODS 175 5.8 SUMMARY 181 5.9 REFERENCES 181
DIFFERENTIAL EQUATION MODELS FOR INFECTIOUS DISEASE 183 6.1 SIR RONALD
ROSS AND THE EPIDEMIE CURVE 183 6.2 RESCALING THE MODEL 187 6.3 ENDEMIC
DISEASES AND OSCILLATIONS 191 6.3.1 ANALYSIS OFTHE SIR MODEL WITH BIRTHS
193 6.3.2 SUMMING UP 197 6.4 GONORRHEA DYNAMICS AND CONTROL 200 6.4.1 A
SIMPLE MODEL AND A PARADOX 200 6.4.2 THE GORE GROUP 201 6.4.3
IMPLICATIONS FOR CONTROL 203 6.5 DRUG RESISTANCE 206 6.6 WITHIN-HOST
DYNAMICS OF HIV 209 6.7 CONCLUSIONS 213 6.8 REFERENCES 214 SPATIAL
PATTERNS IN BIOLOGY 217 7.1 REACTION-DIFFUSION MODELS 218 7.2 THE TURING
MECHANISM 223 7.3 PATTERN SELECTION: STEADY PATTERNS 226 7.4 MOVING
PATTERNS: CHEMICAL WAVES AND HEARTBEATS 232 7.5 REFERENCES 241
AGENT-BASED AND OTHER COMPUTATIONAL MODELS FOR COMPLEX SYSTEMS 243 8.1
INDIVIDUAL-BASED MODELS IN ECOLOGY 245 8.1.1 SIZE-DEPENDENT PREDATION
245 8.1.2 SWARM 247 VIUE | CONTENTS 8.1.3 INDIVIDUAL-BASED MODELING
OFEXTINCUEON RISK 248 8.2 ARTIFICIAL LIFE 252 8.2.1 TIERRA 253 8.2.2
MICROBES IN TIERRA 255 8.2.3 AVIDA 257 8.3 THE IMMUNE SYSTEM AND THE FLU
259 8.4 WHAT CAN WE LEARN FROM AGENT-BASED MODELS? 260 8.5 SENSITIVITY
ANALYSIS 261 8.5.1 CORRETATION METHODS 264 8.5.2 VARIANCE DECOMPOSITION
266 8.6 SIMPLIFYING COMPUTATIONAL MODELS 269 8.6.1 SEPARATION OFTIME
SCALES 26 9 8.6.2 SIMPLIFYING SPAUEAL MODELS 272 8.6.3 IMPROVING THE MEAN
FIELD APPROXIMATION 276 8.7 CONCLUSIONS 277 8.8 APPENDIX: DERIVATION OF
PAIR APPROXIMATION 278 8.9 REFERENCES 279 3 BUILDING DYNAMIC MODELS 283
9.1 SETTING THE OBJECTIVE 284 9.2 BUILDING AN INITIAL MODEL 285 9.2.1
CONCEPTUAL MODE! AND DIAGRAM 286 9.3 DEVELOPING EQUATIONS FOR PROCESS
RATES 291 9.3.1 LINEAR RATES: WHEN AND WHY? 291 9.3.2 NONLINEAR RATES
FRONT FIRST PRINAEPLES 293 9.3.3 NONLINEAR RATES FROM DATA: FITTING
PARAMETRK MODELS 294 9.3.4 NONLINEAR RATES FROM DATA: SELECTING A
PARAMETRIC MODEL 298 9.4 NONLINEAR RATES FROM DATA: NONPARAMETRIC MODELS
302 9.4.1 MULTIVARIATE RATE EQUATIONS 304 9.5 STOCHASTIC MODELS 306
9.5.1 INDIVIILUAL-LEVEL STOCHASTICITY IQ6 9.5.2 PARAMETER DRIFT AND
EXOGENOUS SHOCKS 309 9.6 FITTING RATE EQUATIONS BY CALIBRATION 311 9.7
THREE COMMANDMENTS FOR MODELERS 314 9.8 EVALUATING A MODEL 315 9.8.1
COMPARING MODELS 317 9.9 REFERENCES 320 INDEX 323
|
| adam_txt |
CONTENTS LIST OFFIGURES IX LISTOFTABLES XV PREFACE XVUE D WHAT ARE
DYNAMIC MODELS? I 1.1 DESCRIPTIVE VERSUS MECHANISTIC MODELS 2 1.2
CHINOOK SALMON 4 1.3 BATHTUB MODELS 6 1.4 MANY BATHTUBS: COMPARTMENT
MODELS 7 1.4.1 ENZYME KINETICS 8 1.4.2 77IE MODEIMG PROCESS 11 1.4.3
PHARMACOKINETK MODELS 13 1.5 PHYSICS MODELS: RUNNING AND HOPPING 16 1.6
OPTIMIZATION MODELS 20 1.7 WHY BOTHER? 21 1.8 THEORETICAL VERSUS
PRACTICAL MODELS 24 1.9 WHAT'SNEXT? 26 1.10 REFERENCES 28 0 MATRIX
MODELS AND STRUCTURED POPULATION DYNAMICS 3I 2.1 THE POPULATION BALANCE
LAW 32 2.2 AGE-STRUCTURED MODELS 33 2.2.1 THE LESIIE MATRIX 34 2.2.2
WARNING: PREBREEDING VERSUS POSTBREEDING MODELS 37 2.3 MATRIX MODELS
BASED ON STAGE CLASSES 38 2.4 MATRICES AND MATRIX OPERATIONS 42 2.4.1
REVIEW OFMATRIX OPERATIONS 43 VI CONTENTS 2.4.2 SOLUUEON OFTHE MATRIX
MODEL 2.5 EIGENVALUES AND A SECOND SOLUUEON OF THE MODEL 2.5.1 LEFT
EIGENVECTORS 2.6 SOME APPLICATIONS OF MATRIX MODELS 2.6.1 WHYDO WEAGE?
2.6.2 EIASTKITY ANALYSIS AND CONSERVATION BIOLOGY 2.6.3 HOW MUCH SHOULD
WE TRUST THESE MODELS? 2.7 GENERALIZING THE MATRIX MODEL 2.7.1
STOCHASTIC MATRIX MODELS 2.7.2 DENSITY-DEPENDENTMATRIX MODELS 2.7.3
CONTINUOUS SIZE DISTRIBUTIONS 2.8 SUMMARY AND CONCLUSIONS 2.9 APPENDIX
2.9.1 EXISTENCE AND NUMBER OF EIGENVALUES 2.9.2 REPRODUCTIVE VALUE 2.10
REFERENCES 0 MEMBRANE CHANNELS AND ACTION POTENTIALS 3.1 MEMBRANE
CURRENTS 3.1.1 CHANNEL GATING AND CONFORMATIONAL STATES 3.2 MARKOV
CHAINS 3.2.1 COIN TOSSING 3.2.2 MARKOV CHAINS 3.2.3 THE NEUROMUSCULAR
JUNCTION 3.3 VOLTAGE-GATED CHANNELS 3.4 MEMBRANES AS ELECTRICAL CIRCUITS
3.4.1 REVERSAL POTENTIAL 3.4.2 ACTION POTENTIALS 3.5 SUMMARY 3.6
APPENDIX: THE CENTRAL LIMIT THEOREM 3.7 REFERENCES EJ CELLULAR DYNAMICS:
PATHWAYS OF GENE EXPRESSION 4.1 BIOLOGICAL BACKGROUND 4.2 A GENE NETWORK
THAT ACTS AS A CLOCK 4.2.1 FORMULATING A MODEL 4.2.2 MODEL PREDKTIONS
4.3 NETWORKS THAT ACT AS A SWITCH 4.4 SYSTEMS BIOLOGY 4.4.1 COMPLEX
VERSUS SIMPLE MODELS 4.5 SUMMARY 4.6 REFERENCES 44 44 48 49 49 52 58 59
59 61 63 66 67 67 67 68 71 72 74 77 78 82 86 90 92 94 95 103 104 106 107
108 110 111 113 119 125 129 131 132 CONTENTS | VII DYNAMICAL SYSTEMS 135
5.1 GEOMETRY OF A SINGLE DIFFERENTIAL EQUATION 136 5.2 MATHEMATICAL
FOUNDATIONS: A FUNDAMENTAL THEOREM 138 5.3 LINEARIZATION AND LINEAR
SYSTEMS 141 5.3.1 EQUILIBRIUM POINTS 141 5.3.2 LINEARIZATION AT
EQUILIBRIA 142 5.3.3 SOIVING LINEAR SYSTEMS OF DIFFERENTIAL EQUATIONS
144 5.3.4 INVARIANT MANIFOLDS 149 5.3.5 PERIODIC ORBITS 150 5.4 PHASE
PLANES 151 5.5 AN EXAMPLE: THE MORRIS-LECAR MODEL 154 5.6 BIFURCATIONS
160 5.7 NUMERICAL METHODS 175 5.8 SUMMARY 181 5.9 REFERENCES 181
DIFFERENTIAL EQUATION MODELS FOR INFECTIOUS DISEASE 183 6.1 SIR RONALD
ROSS AND THE EPIDEMIE CURVE 183 6.2 RESCALING THE MODEL 187 6.3 ENDEMIC
DISEASES AND OSCILLATIONS 191 6.3.1 ANALYSIS OFTHE SIR MODEL WITH BIRTHS
193 6.3.2 SUMMING UP 197 6.4 GONORRHEA DYNAMICS AND CONTROL 200 6.4.1 A
SIMPLE MODEL AND A PARADOX 200 6.4.2 THE GORE GROUP 201 6.4.3
IMPLICATIONS FOR CONTROL 203 6.5 DRUG RESISTANCE 206 6.6 WITHIN-HOST
DYNAMICS OF HIV 209 6.7 CONCLUSIONS 213 6.8 REFERENCES 214 SPATIAL
PATTERNS IN BIOLOGY 217 7.1 REACTION-DIFFUSION MODELS 218 7.2 THE TURING
MECHANISM 223 7.3 PATTERN SELECTION: STEADY PATTERNS 226 7.4 MOVING
PATTERNS: CHEMICAL WAVES AND HEARTBEATS 232 7.5 REFERENCES 241
AGENT-BASED AND OTHER COMPUTATIONAL MODELS FOR COMPLEX SYSTEMS 243 8.1
INDIVIDUAL-BASED MODELS IN ECOLOGY 245 8.1.1 SIZE-DEPENDENT PREDATION
245 8.1.2 SWARM 247 VIUE | CONTENTS 8.1.3 INDIVIDUAL-BASED MODELING
OFEXTINCUEON RISK 248 8.2 ARTIFICIAL LIFE 252 8.2.1 TIERRA 253 8.2.2
MICROBES IN TIERRA 255 8.2.3 AVIDA 257 8.3 THE IMMUNE SYSTEM AND THE FLU
259 8.4 WHAT CAN WE LEARN FROM AGENT-BASED MODELS? 260 8.5 SENSITIVITY
ANALYSIS 261 8.5.1 CORRETATION METHODS 264 8.5.2 VARIANCE DECOMPOSITION
266 8.6 SIMPLIFYING COMPUTATIONAL MODELS 269 8.6.1 SEPARATION OFTIME
SCALES 26 9 8.6.2 SIMPLIFYING SPAUEAL MODELS 272 8.6.3 IMPROVING THE MEAN
FIELD APPROXIMATION 276 8.7 CONCLUSIONS 277 8.8 APPENDIX: DERIVATION OF
PAIR APPROXIMATION 278 8.9 REFERENCES 279 3 BUILDING DYNAMIC MODELS 283
9.1 SETTING THE OBJECTIVE 284 9.2 BUILDING AN INITIAL MODEL 285 9.2.1
CONCEPTUAL MODE! AND DIAGRAM 286 9.3 DEVELOPING EQUATIONS FOR PROCESS
RATES 291 9.3.1 LINEAR RATES: WHEN AND WHY? 291 9.3.2 NONLINEAR RATES
FRONT "FIRST PRINAEPLES" 293 9.3.3 NONLINEAR RATES FROM DATA: FITTING
PARAMETRK MODELS 294 9.3.4 NONLINEAR RATES FROM DATA: SELECTING A
PARAMETRIC MODEL 298 9.4 NONLINEAR RATES FROM DATA: NONPARAMETRIC MODELS
302 9.4.1 MULTIVARIATE RATE EQUATIONS 304 9.5 STOCHASTIC MODELS 306
9.5.1 INDIVIILUAL-LEVEL STOCHASTICITY "IQ6 9.5.2 PARAMETER DRIFT AND
EXOGENOUS SHOCKS 309 9.6 FITTING RATE EQUATIONS BY CALIBRATION 311 9.7
THREE COMMANDMENTS FOR MODELERS 314 9.8 EVALUATING A MODEL 315 9.8.1
COMPARING MODELS 317 9.9 REFERENCES 320 INDEX 323 |
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| author | Ellner, Stephen P. 1953- Guckenheimer, John 1945- |
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| author_facet | Ellner, Stephen P. 1953- Guckenheimer, John 1945- |
| author_role | aut aut |
| author_sort | Ellner, Stephen P. 1953- |
| author_variant | s p e sp spe j g jg |
| building | Verbundindex |
| bvnumber | BV021548613 |
| callnumber-first | Q - Science |
| callnumber-label | QH323 |
| callnumber-raw | QH323.5 |
| callnumber-search | QH323.5 |
| callnumber-sort | QH 3323.5 |
| callnumber-subject | QH - Natural History and Biology |
| classification_rvk | SK 950 WC 7000 |
| ctrlnum | (OCoLC)63398363 (DE-599)BVBBV021548613 |
| dewey-full | 570/.1/5118 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 570 - Biology |
| dewey-raw | 570/.1/5118 |
| dewey-search | 570/.1/5118 |
| dewey-sort | 3570 11 45118 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| discipline_str_mv | Biologie Mathematik |
| format | Book |
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| id | DE-604.BV021548613 |
| illustrated | Illustrated |
| index_date | 2024-07-02T14:30:45Z |
| indexdate | 2024-07-09T20:38:22Z |
| institution | BVB |
| isbn | 0691125899 0691118434 9780691118437 9780691125893 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014764726 |
| oclc_num | 63398363 |
| open_access_boolean | |
| owner | DE-703 DE-M49 DE-BY-TUM DE-91G DE-BY-TUM DE-1028 DE-634 DE-526 DE-11 DE-19 DE-BY-UBM DE-20 DE-188 |
| owner_facet | DE-703 DE-M49 DE-BY-TUM DE-91G DE-BY-TUM DE-1028 DE-634 DE-526 DE-11 DE-19 DE-BY-UBM DE-20 DE-188 |
| physical | XXII, 329 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Princeton Univ. Press |
| record_format | marc |
| series2 | Princeton paperbacks |
| spelling | Ellner, Stephen P. 1953- Verfasser (DE-588)131796305 aut Dynamic models in biology Stephen P. Ellner and John Guckenheimer Princeton [u.a.] Princeton Univ. Press 2006 XXII, 329 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Princeton paperbacks Biologie - Modèles mathématiques Mathematisches Modell Biology Mathematical models Biology methods Computational Biology Disease Transmission, Infectious statistics & numerical data Models, Biological Population Dynamics Biologie (DE-588)4006851-1 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 gnd rswk-swf Dynamisches Modell (DE-588)4150932-8 s Biologie (DE-588)4006851-1 s DE-604 Guckenheimer, John 1945- Verfasser (DE-588)172109353 aut OEBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014764726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ellner, Stephen P. 1953- Guckenheimer, John 1945- Dynamic models in biology Biologie - Modèles mathématiques Mathematisches Modell Biology Mathematical models Biology methods Computational Biology Disease Transmission, Infectious statistics & numerical data Models, Biological Population Dynamics Biologie (DE-588)4006851-1 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| subject_GND | (DE-588)4006851-1 (DE-588)4150932-8 |
| title | Dynamic models in biology |
| title_auth | Dynamic models in biology |
| title_exact_search | Dynamic models in biology |
| title_exact_search_txtP | Dynamic models in biology |
| title_full | Dynamic models in biology Stephen P. Ellner and John Guckenheimer |
| title_fullStr | Dynamic models in biology Stephen P. Ellner and John Guckenheimer |
| title_full_unstemmed | Dynamic models in biology Stephen P. Ellner and John Guckenheimer |
| title_short | Dynamic models in biology |
| title_sort | dynamic models in biology |
| topic | Biologie - Modèles mathématiques Mathematisches Modell Biology Mathematical models Biology methods Computational Biology Disease Transmission, Infectious statistics & numerical data Models, Biological Population Dynamics Biologie (DE-588)4006851-1 gnd Dynamisches Modell (DE-588)4150932-8 gnd |
| topic_facet | Biologie - Modèles mathématiques Mathematisches Modell Biology Mathematical models Biology methods Computational Biology Disease Transmission, Infectious statistics & numerical data Models, Biological Population Dynamics Biologie Dynamisches Modell |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014764726&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT ellnerstephenp dynamicmodelsinbiology AT guckenheimerjohn dynamicmodelsinbiology |