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＜電子ブック＞
Modeling Complex Living Systems : A Kinetic Theory and Stochastic Game Approach / by Nicola Bellomo
(Modeling and Simulation in Science, Engineering and Technology. ISSN:21643725)

版	1st ed. 2008.
出版者	Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser
出版年	2008
本文言語	英語
大きさ	XII, 220 p. 37 illus : online resource
著者標目	*Bellomo, Nicola author SpringerLink (Online service)
件　名	LCSH:Mathematical models LCSH:Mathematics LCSH:Biomathematics LCSH:Game theory LCSH:Mathematical physics LCSH:Engineering mathematics LCSH:Engineering -- Data processing  全ての件名で検索 FREE:Mathematical Modeling and Industrial Mathematics FREE:Applications of Mathematics FREE:Mathematical and Computational Biology FREE:Game Theory FREE:Mathematical Methods in Physics FREE:Mathematical and Computational Engineering Applications
一般注記	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 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 LivingSystems 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 HTTP:URL=https://doi.org/10.1007/978-0-8176-4600-4

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