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Modeling Complex Living Systems: A Kinetic Theory and Stochastic Game Approach (Modeling and Simulation in Science, Engineering and Technology) Hardcover – 16 Nov 2007
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"This nicely written book promotes the idea that the methods employed for modeling living systems may significantly differ from the techniques used for analyzing inert matter...This text, carefully written by a well-known expert, explains broad and profound applications of a new approach to modeling of nonlinear complex systems not only in the natural sciences, but also in systems describing social, ecological, and economic phenomena. It is a very useful reference for anyone interested in mathematical modeling of complex systems." (Svitlana P. Rogovchenko, Zentralblatt MATH)
Using tools from mathematical kinetic 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.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; and methodological aspects related to multiscale modeling of large systems viewed as interconnected subsystems. "Modeling Complex Living Systems" will be a valuable resource for applied mathematicians, engineers, physicists, biologists, economists, and graduate students involved in modeling complex social systems and living matter in general. See all Product description
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