Modeling Complex Living Systems, 2008 A Kinetic Theory and Stochastic Game Approach Modeling and Simulation in Science, Engineering and Technology Series

Langue : Anglais

Auteur : Bellomo Nicola

Couverture de l’ouvrage Modeling Complex Living Systems

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This book develops new mathematical methods and tools to model living systems. The material it presents can be used in such real-world applications as immunology, transportation engineering, and economics. 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 book will be a valuable resource to all involved in modeling complex social systems and living matter in general.

Preface 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 for Discrete Activity Systems Modeling of Social Dynamics and Economic Systems Mathematical Modeling of Vehicular Traffic Flow Phenomena Complex Biological Systems: Mutations and Immune Competition Modeling Crowds and Swarms: Congested and Panic Flows Additional Concepts on the Modeling of Living Systems Collected Bibliography Index

Unique book with respect to the existing literature; very little is available in the field using this particular approach

Using new methods and tools from mathematical kinetic theory and stochastic game theory, this book examines the modeling of living systems as opposed to inert systems

Real-world applications to immunology, transportation engineering, and economics

Appeals to a broad audience: applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general

Includes supplementary material: sn.pub/extras