LEADER 04550nam 2200661Ia 450 001 9910450868503321 005 20200520144314.0 010 $a1-281-11667-X 010 $a9786611116675 010 $a0-8176-4600-0 024 7 $a10.1007/978-0-8176-4600-4 035 $a(CKB)1000000000408745 035 $a(EBL)336960 035 $a(OCoLC)209985426 035 $a(SSID)ssj0000203972 035 $a(PQKBManifestationID)11174206 035 $a(PQKBTitleCode)TC0000203972 035 $a(PQKBWorkID)10175656 035 $a(PQKB)10315305 035 $a(DE-He213)978-0-8176-4600-4 035 $a(MiAaPQ)EBC336960 035 $a(PPN)123734258 035 $a(Au-PeEL)EBL336960 035 $a(CaPaEBR)ebr10206223 035 $a(CaONFJC)MIL111667 035 $a(EXLCZ)991000000000408745 100 $a20070824d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aModeling complex living systems$b[electronic resource] $ea kinetic theory and stochastic game approach /$fNicola Bellomo 205 $a1st ed. 2008. 210 $aBoston, MA $cBirkha?user ;$aLondon $cSpringer [distributor]$d2008 215 $a1 online resource (231 p.) 225 1 $aModeling and simulation in science, engineering and technology 300 $aDescription based upon print version of record. 311 $a0-8176-4510-1 320 $aIncludes bibliographical references and index. 327 $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. 330 $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?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 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. 410 0$aModeling and simulation in science, engineering & technology. 606 $aSystem theory 606 $aMathematical models 608 $aElectronic books. 615 0$aSystem theory. 615 0$aMathematical models. 676 $a003.3 676 $a511.8 700 $aBellomo$b N$031305 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910450868503321 996 $aModeling complex living systems$9715757 997 $aUNINA