Compartmental modeling with networks:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston [u.a.]
Birkhäuser
1999
|
| Schriftenreihe: | Modeling and simulation in science, engineering and technology
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVIII, 250 S. graph. Darst. |
| ISBN: | 0817640193 |
Internformat
MARC
| LEADER | 00000nam a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV023785049 | ||
| 003 | DE-604 | ||
| 005 | 20080825000000.0 | ||
| 007 | t | ||
| 008 | 010613s1999 d||| |||| 00||| eng d | ||
| 020 | |a 0817640193 |9 0-8176-4019-3 | ||
| 035 | |a (OCoLC)246136997 | ||
| 035 | |a (DE-599)BVBBV023785049 | ||
| 040 | |a DE-604 |b ger | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-634 | ||
| 082 | 0 | |a 511.5 | |
| 100 | 1 | |a Walter, Gilbert G. |d 1930- |e Verfasser |0 (DE-588)121517926 |4 aut | |
| 245 | 1 | 0 | |a Compartmental modeling with networks |c Gilbert G. Walter ; Martha Contreras |
| 264 | 1 | |a Boston [u.a.] |b Birkhäuser |c 1999 | |
| 300 | |a XVIII, 250 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Modeling and simulation in science, engineering and technology | |
| 650 | 0 | 7 | |a Netzwerkfluss |0 (DE-588)4126130-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Netzwerkmodell |0 (DE-588)4131643-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Graphentheorie |0 (DE-588)4113782-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Netzwerkmodell |0 (DE-588)4131643-5 |D s |
| 689 | 0 | 1 | |a Graphentheorie |0 (DE-588)4113782-6 |D s |
| 689 | 0 | 2 | |a Netzwerkfluss |0 (DE-588)4126130-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Contreras, Martha |e Verfasser |0 (DE-588)121517969 |4 aut | |
| 856 | 4 | 2 | |m HEBIS Datenaustausch Darmstadt |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017427257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-017427257 | ||
Datensatz im Suchindex
| _version_ | 1804138977228226560 |
|---|---|
| adam_text | GILBERT G. WALTER MARTHA CONTRERAS COMPARTMENTAL MODELING WITH NETWORKS
BIRKHAUSER BOSTON * BASEL * BERLIN VI CONTENTS 7 GRAPHS AND MATRICES 53
7.1 ADJACENCY AND REACHABILITY MATRICES 53 7.2 EIGENVALUES OF ADJACENCY
MATRICES 56 7.3 USING MAPLE WITH GRAPHS 59 PART II. DIGRAPHS AND
PROBABILITIES: MARKOV CHAINS 63 8 INTRODUCTION TO MARKOV CHAINS 65 8.1
RELATION TO DIGRAPHS 65 8.2 MORE DEFINITIONS AND EXAMPLES 66 9
CLASSIFICATION OF MARKOV CHAINS 71 9.1 DEFINITIONS 71 9.2 CONDENSATION
OF A STOCHASTIC DIGRAPH 76 10 REGULAR MARKOV CHAINS 81 10.1 THEORY OF
REGULAR CHAINS 81 10.2 FIXED-POINT PROBABILITY VECTOR 84 10.3 INFLUENCE
DIGRAPH 86 11 ABSORBING MARKOV CHAINS 89 11.1 AN EXAMPLE 89 11.2 SOME
GENERAL RESULTS 92 11.3 POPULATION GENETICS: AN EXAMPLE OF AN ABSORBING
CHAIN . 95 11.4 SMALL GROUP DECISION MAKING: AN ABSORBING MARKOV CHAIN
97 / 12 FROM MARKOV CHAINS TO COMPARTMENTAL MODELS 101 12.1 COMPARISON
OF QUANTITIES / 101 12.2 TWO EXAMPLES 104 PART III. COMPARTMENTAL
MODELS: APPLICATIONS 109 13 INTRODUCTION TO COMPARTMENTAL MODELS 111
13.1 BASIC CONCEPTS ILL 13.2 ONE-COMPARTMENT APPLICATIONS 114 13.2.1
LINEAR CASE 115 13.2.2 LOGISTIC GROWTH 116 13.3 OTHER EXAMPLES 118 13.4
MATRIX FORMS 120 13.5 TWO-COMPARTMENT MODELS 121 14 MODELS FOR THE
SPREAD OF EPIDEMICS 125 14.1 THE SIR MODEL 125 14.2 OTHER MODELS OF
EPIDEMICS 128 CONTENTS VII 15 THREE TRADITIONAL EXAMPLES AS
COMPARTMENTAL MODELS 131 15.1 PREDATOR-PREY OR HOST-PARASITE EQUATIONS
131 15.2 THE LESLIE MATRIX 135 15.3 LEONTIEF INPUT-OUTPUT ANALYSIS 137
16 ECOSYSTEM MODELS 141 16.1 DISSOLVED OXYGEN 141 16.2 FOREST ECOSYSTEM
143 16.3 FOOD WEBS 146 17 FISHERIES MODELS 149 17.1 LOGISTIC EQUATION
APPROACH 150 17.2 NONEQUILIBRIUM YIELD 152 17.3 A MULTISPECIES MODEL 156
17.4 AN ECOSYSTEM FISHERIES MODEL 159 18 DRUG KINETICS 163 18.1
BILIRUBIN METABOLISM (SIMPLE) 163 18.2 BILIRUBIN METABOLISM (COMPLEX)
165 18.3 LEAD KINETICS 166 18.4 HIV DYNAMICS 167 PART IV. COMPARTMENTAL
MODELS THEORY 173 19 BASIC PROPERTIES OF LINEAR MODELS 175 19.1
COMPARTMENTAL MATRICES 176 19.2 EIGENVALUES 178 19.3 ANALYTIC SOLUTION
180 S 20 STRUCTURE AND DYNAMICAL PROPERTIES 183 20.1 POSITIVITY OF
SOLUTIONS 183 20.2 CONDENSATION OF THE DIGRAPH 185 20.3 EIGENVALUES AND
STRUCTURE 189 20.4 SOME SPECIAL CASES 192 21 IDENTIFIABILITY OF A
COMPARTMENTAL SYSTEM 197 21.1 GENERAL INPUT AND OUTPUT 197 21.2 AN
EXAMPLE OF AN IDENTIFIABLE SYSTEM 199 21.3 ANOTHER EXAMPLE WHICH IS NOT
IDENTIFIABLE 200 21.4 ANOTHER APPROACH: USING LAPLACE TRANSFORMS 201
21.5 THE GENERAL CASE 203 21.6 SIZE IDENTIFIABILITY OF COMPARTMENTAL
MODELS 204 21.6.1 EXAMPLE 206 21.6.2 SOME MORE EXAMPLES 207 21.6.3 MAIN
RESULT 209 VIII CONTENTS 22 PARAMETER ESTIMATION 211 22.1 ESTIMATION
PROBLEM 211 22.2 STATISTICAL ESTIMATION 215 23 COMPLEXITY AND STABILITY
218 23.1 COMPLEXITY 218 23.2 THE SHANNON INDEX 221 23.3 OTHER INDICES
223 23.4 RELATION TO STABILITY 226 A MATHEMATICAL PREREQUISITES 228
APPENDIX 228 A.I MATRIX OPERATIONS 228 A.2 FINDING EIGENVALUES AND
EIGENVECTORS 233 A.3 SYSTEMS OF DIFFERENTIAL EQUATIONS 235 A.4 MATRICES
WITH MAPLE 238 BIBLIOGRAPHY 242 INDEX 247
|
| any_adam_object | 1 |
| author | Walter, Gilbert G. 1930- Contreras, Martha |
| author_GND | (DE-588)121517926 (DE-588)121517969 |
| author_facet | Walter, Gilbert G. 1930- Contreras, Martha |
| author_role | aut aut |
| author_sort | Walter, Gilbert G. 1930- |
| author_variant | g g w gg ggw m c mc |
| building | Verbundindex |
| bvnumber | BV023785049 |
| ctrlnum | (OCoLC)246136997 (DE-599)BVBBV023785049 |
| dewey-full | 511.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511.5 |
| dewey-search | 511.5 |
| dewey-sort | 3511.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01558nam a2200385zc 4500</leader><controlfield tag="001">BV023785049</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20080825000000.0</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">010613s1999 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0817640193</subfield><subfield code="9">0-8176-4019-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246136997</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV023785049</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">511.5</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Walter, Gilbert G.</subfield><subfield code="d">1930-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121517926</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Compartmental modeling with networks</subfield><subfield code="c">Gilbert G. Walter ; Martha Contreras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Boston [u.a.]</subfield><subfield code="b">Birkhäuser</subfield><subfield code="c">1999</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XVIII, 250 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Modeling and simulation in science, engineering and technology</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Netzwerkfluss</subfield><subfield code="0">(DE-588)4126130-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Netzwerkmodell</subfield><subfield code="0">(DE-588)4131643-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Graphentheorie</subfield><subfield code="0">(DE-588)4113782-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Netzwerkmodell</subfield><subfield code="0">(DE-588)4131643-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Graphentheorie</subfield><subfield code="0">(DE-588)4113782-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Netzwerkfluss</subfield><subfield code="0">(DE-588)4126130-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Contreras, Martha</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)121517969</subfield><subfield code="4">aut</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HEBIS Datenaustausch Darmstadt</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017427257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-017427257</subfield></datafield></record></collection> |
| id | DE-604.BV023785049 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T21:36:45Z |
| institution | BVB |
| isbn | 0817640193 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017427257 |
| oclc_num | 246136997 |
| open_access_boolean | |
| owner | DE-634 |
| owner_facet | DE-634 |
| physical | XVIII, 250 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
| publishDateSort | 1999 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Modeling and simulation in science, engineering and technology |
| spelling | Walter, Gilbert G. 1930- Verfasser (DE-588)121517926 aut Compartmental modeling with networks Gilbert G. Walter ; Martha Contreras Boston [u.a.] Birkhäuser 1999 XVIII, 250 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Modeling and simulation in science, engineering and technology Netzwerkfluss (DE-588)4126130-6 gnd rswk-swf Netzwerkmodell (DE-588)4131643-5 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Netzwerkmodell (DE-588)4131643-5 s Graphentheorie (DE-588)4113782-6 s Netzwerkfluss (DE-588)4126130-6 s DE-604 Contreras, Martha Verfasser (DE-588)121517969 aut HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017427257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Walter, Gilbert G. 1930- Contreras, Martha Compartmental modeling with networks Netzwerkfluss (DE-588)4126130-6 gnd Netzwerkmodell (DE-588)4131643-5 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4126130-6 (DE-588)4131643-5 (DE-588)4113782-6 |
| title | Compartmental modeling with networks |
| title_auth | Compartmental modeling with networks |
| title_exact_search | Compartmental modeling with networks |
| title_full | Compartmental modeling with networks Gilbert G. Walter ; Martha Contreras |
| title_fullStr | Compartmental modeling with networks Gilbert G. Walter ; Martha Contreras |
| title_full_unstemmed | Compartmental modeling with networks Gilbert G. Walter ; Martha Contreras |
| title_short | Compartmental modeling with networks |
| title_sort | compartmental modeling with networks |
| topic | Netzwerkfluss (DE-588)4126130-6 gnd Netzwerkmodell (DE-588)4131643-5 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Netzwerkfluss Netzwerkmodell Graphentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017427257&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT waltergilbertg compartmentalmodelingwithnetworks AT contrerasmartha compartmentalmodelingwithnetworks |