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Field name	Details
Dewey Class	003.3
Title	Modeling Complex Living Systems ([Ebook]) / by Nicola Bellomo.
Author	Bellomo, Nicola
Other name(s)	SpringerLink (Online service)
Publication	Boston, MA : Birkhäuser , 2008.
Physical Details	: online resource.
Series	Modeling and Simulation in Science, Engineering and Technology
ISBN	9780817646004
Summary Note	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 toolsâhopefully a "new" mathematicsâtoward 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.:
Contents note	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 .
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4600-4
Links to Related Works	Subject References: Applications of Mathematics . Appl.Mathematics/Computational Methods of Engineering . Biology . Engineering mathematics . Game Theory, Economics, Social and Behav. Sciences . Mathematical Biology in General . Mathematical Methods in Physics . Mathematical Modeling and Industrial Mathematics . Mathematical Physics . Mathematics . Authors: Bellomo, Nicola . Corporate Authors: SpringerLink (Online service) . Series: Modeling and Simulation in Science, Engineering and Technology . Classification: 003.3 .

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Modeling Complex Living Systems

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