Modeling complex living systems: a kinetic theory and stochastic game approach
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston ; Basel ; Berlin
Birkhäuser
2008
|
| Schriftenreihe: | Modeling and simulation in science, engineering and technology
|
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 209 - 218 |
| Beschreibung: | XII, 220 Seiten Diagramme 24 cm |
| ISBN: | 9780817645106 0817645101 |
Internformat
MARC
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| 100 | 1 | |a Bellomo, Nicola |d 1943- |0 (DE-588)11304206X |4 aut | |
| 245 | 1 | 0 | |a Modeling complex living systems |b a kinetic theory and stochastic game approach |c Nicola Bellomo |
| 264 | 1 | |a Boston ; Basel ; Berlin |b Birkhäuser |c 2008 | |
| 300 | |a XII, 220 Seiten |b Diagramme |c 24 cm | ||
| 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 | |
| 500 | |a Literaturverz. S. 209 - 218 | ||
| 650 | 4 | |a Biologisches System - Kinetische Theorie - Mathematisches Modell | |
| 650 | 4 | |a Biologisches System - Spieltheorie - Stochastisches Modell | |
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Datensatz im Suchindex
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|---|---|
| adam_text |
Contents
Preface
χι
Chapter
1.
Erom
Scaling and Determinism to Kinetic
Theory Representation
.1
1.1
Scaling and Determinism
.1
1.2
Classical Models of Kinetic Theory
.4
1.3
Discrete Velocity Models
.13
1.4
Guidelines for Modeling Living Systems
. 15
1.5
Purpose and Plan of the Book
.20
Chapter
2.
Mathematical Structures of the Kinetic Theory
for Active Particles
. 27
2Д
Introduction
. 2?
2.2
The Generalized Distribution Fnnctioa
. 29
2.3
Modeling Microscopic Interactioiis
.35
vii
viii
Modeling
Complex
Living
Systems
2.4
Mathematical Frameworks
.44
2.5
Some Particular Frameworks
.47
2.6
Additional Concepts
.51
Chapter
3.
Additional Mathematical Structures
for Modeling Complex Systems
. 53
3.1
Introduction
. 53
3.2
Models with Mixed-Type Interactions
. 54
3.3
Models with Exotic Proliferations
. 55
3.4
Phenomenological Frameworks
. 58
3.5
Open Systems
. 61
Chapter
4.
Mathematical Frameworks for Discrete Activity
Systems
. 63
4.1
Introduction
. 63
4.2
Motivations for a Discrete States Modeling
. . 65
4.3
On the Discrete Distribution Function
. 66
4.4
Mathematical Framework
. 70
4.5
Additional Generalizations
. 74
4.6
Critical Analysis
. 79
Chapter
5.
Modeling of Social Dynamics and Economic
Systems
. 81
5.1
Introduction
.81
5-2
A Model by Bertotti and
Delirala
.83
5.3
Qualitative
Analysis
and Simulations
. 89
CONTENTS ix
5.4
Some Ideas on Further Modeling Perspectives
. 96
5.5
Critical Analysis and Further Developments
. . 104
Chapter
6.
Mathematical Modeling of Vehicular
Traffic Flow Phenomena
. 109
6.1
Introduction
. 109
6.2
Scaling and Representation
.
Ill
6.3
A Survey of Continuous Kinetic Traffic Models
. 121
6.4
Discrete Velocity Models
. 128
6.5
On the Model by Delitala and Tosin
. 134
6.6
On the Modeling by Active Particle Methods
. 144
Chapter
7.
Complex Biological Systems: Mutations
and Immune Competition
. 147
7.1
Introduction
. 147
7.2
Modeling the Immune Competition
. 149
7.3
Mathematical Structures for Modeling
. 151
7.4
An Example of Mathematical Models
. 156
7.5
Modeling Developments and Perspectives
. . . 163
Chapter
8.
Modeling Crowds and Swarms; Congested
and Panic Flows
.,., 169
8.1
Introduction
. 169
8.2
The Representation of Crowds and Swarms
. . 172
8.3
Modeling by Macroscopic Equations
. 175
8.4
Modeling by Kinetic Theory Methods
. 179
8.5
Looking Forward
. 182
x
Modeling Complex Living Systems
Chapter
9.
Additional Concepts on the Modeling of Living
Systems
.189
9.1
Introduction
. 189
9.2
Mathematical Problems
. 191
9.3
Looking for New Mathematical Structures
. . . 196
9.4
Additional Issues on Modeling
. 199
9.5
Speculations on a Mathematical Theory for Living
Systems
.203
Collective Bibliography
.209
Index
.219 |
| any_adam_object | 1 |
| author | Bellomo, Nicola 1943- |
| author_GND | (DE-588)11304206X |
| author_facet | Bellomo, Nicola 1943- |
| author_role | aut |
| author_sort | Bellomo, Nicola 1943- |
| author_variant | n b nb |
| building | Verbundindex |
| bvnumber | BV035945820 |
| callnumber-first | Q - Science |
| callnumber-label | Q295 |
| callnumber-raw | Q295 |
| callnumber-search | Q295 |
| callnumber-sort | Q 3295 |
| callnumber-subject | Q - General Science |
| classification_rvk | SK 820 SK 950 WC 7000 |
| ctrlnum | (OCoLC)255404423 (DE-599)DNB980421071 |
| dewey-full | 003.3 |
| dewey-hundreds | 000 - Computer science, information, general works |
| dewey-ones | 003 - Systems |
| dewey-raw | 003.3 |
| dewey-search | 003.3 |
| dewey-sort | 13.3 |
| dewey-tens | 000 - Computer science, information, general works |
| discipline | Biologie Informatik Mathematik |
| format | Book |
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| id | DE-604.BV035945820 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T10:26:12Z |
| institution | BVB |
| isbn | 9780817645106 0817645101 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018802972 |
| oclc_num | 255404423 |
| open_access_boolean | |
| owner | DE-473 DE-BY-UBG DE-11 DE-188 DE-83 |
| owner_facet | DE-473 DE-BY-UBG DE-11 DE-188 DE-83 |
| physical | XII, 220 Seiten Diagramme 24 cm |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Modeling and simulation in science, engineering and technology |
| spelling | Bellomo, Nicola 1943- (DE-588)11304206X aut Modeling complex living systems a kinetic theory and stochastic game approach Nicola Bellomo Boston ; Basel ; Berlin Birkhäuser 2008 XII, 220 Seiten Diagramme 24 cm txt rdacontent n rdamedia nc rdacarrier Modeling and simulation in science, engineering and technology Literaturverz. S. 209 - 218 Biologisches System - Kinetische Theorie - Mathematisches Modell Biologisches System - Spieltheorie - Stochastisches Modell Mathematisches Modell Mathematical models System theory Komplexes System (DE-588)4114261-5 gnd rswk-swf Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf Biologisches System (DE-588)4122930-7 gnd rswk-swf Biowissenschaften (DE-588)4129772-6 gnd rswk-swf Spieltheorie (DE-588)4056243-8 gnd rswk-swf Kinetische Theorie (DE-588)4030669-0 gnd rswk-swf Stochastisches Spiel (DE-588)4129289-3 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Biologisches System (DE-588)4122930-7 s Kinetische Theorie (DE-588)4030669-0 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Spieltheorie (DE-588)4056243-8 s Stochastisches Modell (DE-588)4057633-4 s Biowissenschaften (DE-588)4129772-6 s Komplexes System (DE-588)4114261-5 s Stochastisches Spiel (DE-588)4129289-3 s Erscheint auch als Online-Ausgabe 978-0-8176-4600-4 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2834013&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Bamberg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018802972&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bellomo, Nicola 1943- Modeling complex living systems a kinetic theory and stochastic game approach Biologisches System - Kinetische Theorie - Mathematisches Modell Biologisches System - Spieltheorie - Stochastisches Modell Mathematisches Modell Mathematical models System theory Komplexes System (DE-588)4114261-5 gnd Stochastisches Modell (DE-588)4057633-4 gnd Biologisches System (DE-588)4122930-7 gnd Biowissenschaften (DE-588)4129772-6 gnd Spieltheorie (DE-588)4056243-8 gnd Kinetische Theorie (DE-588)4030669-0 gnd Stochastisches Spiel (DE-588)4129289-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| subject_GND | (DE-588)4114261-5 (DE-588)4057633-4 (DE-588)4122930-7 (DE-588)4129772-6 (DE-588)4056243-8 (DE-588)4030669-0 (DE-588)4129289-3 (DE-588)4114528-8 |
| title | Modeling complex living systems a kinetic theory and stochastic game approach |
| title_auth | Modeling complex living systems a kinetic theory and stochastic game approach |
| title_exact_search | Modeling complex living systems a kinetic theory and stochastic game approach |
| title_full | Modeling complex living systems a kinetic theory and stochastic game approach Nicola Bellomo |
| title_fullStr | Modeling complex living systems a kinetic theory and stochastic game approach Nicola Bellomo |
| title_full_unstemmed | Modeling complex living systems a kinetic theory and stochastic game approach Nicola Bellomo |
| title_short | Modeling complex living systems |
| title_sort | modeling complex living systems a kinetic theory and stochastic game approach |
| title_sub | a kinetic theory and stochastic game approach |
| topic | Biologisches System - Kinetische Theorie - Mathematisches Modell Biologisches System - Spieltheorie - Stochastisches Modell Mathematisches Modell Mathematical models System theory Komplexes System (DE-588)4114261-5 gnd Stochastisches Modell (DE-588)4057633-4 gnd Biologisches System (DE-588)4122930-7 gnd Biowissenschaften (DE-588)4129772-6 gnd Spieltheorie (DE-588)4056243-8 gnd Kinetische Theorie (DE-588)4030669-0 gnd Stochastisches Spiel (DE-588)4129289-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd |
| topic_facet | Biologisches System - Kinetische Theorie - Mathematisches Modell Biologisches System - Spieltheorie - Stochastisches Modell Mathematisches Modell Mathematical models System theory Komplexes System Stochastisches Modell Biologisches System Biowissenschaften Spieltheorie Kinetische Theorie Stochastisches Spiel |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=2834013&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018802972&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT bellomonicola modelingcomplexlivingsystemsakinetictheoryandstochasticgameapproach |