04556nam 22005775i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001400172072001700186072001600203072002300219072002300242082001400265100003000279245008100309264004600390300004400436336002600480337002600506338003600532347002400568490006700592505045200659520210601111650001703217650002503234650002903259650001703288650002503305650002003330650001303350650001703363650005403380650003303434650004403467650005603511650003703567650005903604710003403663773002003697776003603717830006703753856004803820912001403868999001903882952007703901978-0-8176-4600-4DE-He21320180115171436.0cr nn 008mamaa100301s2008 xxu| s |||| 0|eng d a97808176460049978-0-8176-4600-47 a10.1007/978-0-8176-4600-42doi 4aTA342-343 7aPBWH2bicssc 7aTBJ2bicssc 7aMAT0030002bisacsh 7aTEC0090602bisacsh04a003.32231 aBellomo, Nicola.eauthor.10aModeling Complex Living Systemsh[electronic resource] /cby Nicola Bellomo. 1aBoston, MA :bBirkhèauser Boston,c2008. aXII, 220 p. 37 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aModeling and Simulation in Science, Engineering and Technology0 aFrom 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. aUsing 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$1 (Bhopefully a "new" mathematics$1 (Btoward 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.s 0aMathematics. 0aApplied mathematics. 0aEngineering mathematics. 0aGame theory. 0aMathematical models. 0aBiomathematics. 0aPhysics.14aMathematics.24aMathematical Modeling and Industrial Mathematics.24aApplications of Mathematics.24aMathematical and Computational Biology.24aGame Theory, Economics, Social and Behav. Sciences.24aMathematical Methods in Physics.24aAppl.Mathematics/Computational Methods of Engineering.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780817645106 0aModeling and Simulation in Science, Engineering and Technology40uhttp://dx.doi.org/10.1007/978-0-8176-4600-4 aZDB-2-SMA c369941d369941 001040708EBookaelibbelibd2018-01-15r2018-01-15w2018-01-15yEBOOK