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Modeling Complex Living Systems A Kinetic Theory and Stochastic Game Approach /
Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelli...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Boston, MA :
Birkhäuser Boston : Imprint: Birkhäuser,
2008.
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| Edición: | 1st ed. 2008. |
| Colección: | Modeling and Simulation in Science, Engineering and Technology,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-0-8176-4600-4 | ||
| 003 | DE-He213 | ||
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| 008 | 100301s2008 xxu| s |||| 0|eng d | ||
| 020 | |a 9780817646004 |9 978-0-8176-4600-4 | ||
| 024 | 7 | |a 10.1007/978-0-8176-4600-4 |2 doi | |
| 050 | 4 | |a TA342-343 | |
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| 100 | 1 | |a Bellomo, Nicola. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Modeling Complex Living Systems |h [electronic resource] : |b A Kinetic Theory and Stochastic Game Approach / |c by Nicola Bellomo. |
| 250 | |a 1st ed. 2008. | ||
| 264 | 1 | |a Boston, MA : |b Birkhäuser Boston : |b Imprint: Birkhäuser, |c 2008. | |
| 300 | |a XII, 220 p. 37 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Modeling and Simulation in Science, Engineering and Technology, |x 2164-3725 | |
| 505 | 0 | |a From Scaling and Determinism to Kinetic Theory Representation -- Mathematical Structures of the Kinetic Theory for Active Particles -- Additional Mathematical Structures for Modeling Complex Systems -- Mathematical Frameworks -- Modeling of Social Dynamics and Economic Systems -- Mathematical Modeling -- Complex Biological Systems: -- Modeling Crowds and Swarms:Congested and Panic Flows -- Additional Concepts on the Modeling of Living Systems. | |
| 520 | |a Using tools from mathematical kinetic theory and stochastic game theory, this work deals with the modeling of large complex systems in the applied sciences, particularly those comprised of several interacting individuals whose dynamics follow rules determined by some organized, or even "intelligent" ability. Traditionally, methods of mathematical kinetic theory have been applied to model the evolution of large systems of interacting classical or quantum particles. This book, on the other hand, examines the modeling of living systems as opposed to inert systems. The author develops new mathematical methods and tools-hopefully a "new" mathematics-toward the modeling of living systems. Such tools need to be far more complex than those dealing with systems of inert matter. The first part of the book deals with deriving general evolution equations that can be customized to particular systems of interest in the applied sciences. The second part of the book deals with various models and applications. The presentation unfolds using the following common approach in each chapter: * Phenomenological interpretation of the physical system in the context of mathematical modeling * Derivation of the mathematical model using methods from mathematical kinetic theory for active particles * Simulations, parameter sensitivity analysis, and critical inspection of the derived model towards validation * Overview of presented ideas to improve existing models, with special emphasis on applications Specific topics covered include: * Modeling of the competition between cells of an aggressive invasive agent and cells of the immune system * Modeling of vehicular traffic flow * Modeling of swarms and crowd dynamics in complex geometric environments * Methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems Modeling Complex Living Systems is a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general. | ||
| 650 | 0 | |a Mathematical models. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Biomathematics. | |
| 650 | 0 | |a Game theory. | |
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Engineering mathematics. | |
| 650 | 0 | |a Engineering |x Data processing. | |
| 650 | 1 | 4 | |a Mathematical Modeling and Industrial Mathematics. |
| 650 | 2 | 4 | |a Applications of Mathematics. |
| 650 | 2 | 4 | |a Mathematical and Computational Biology. |
| 650 | 2 | 4 | |a Game Theory. |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a Mathematical and Computational Engineering Applications. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9780817671303 |
| 776 | 0 | 8 | |i Printed edition: |z 9780817645106 |
| 830 | 0 | |a Modeling and Simulation in Science, Engineering and Technology, |x 2164-3725 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-0-8176-4600-4 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||