LEADER 03807nam 2200625z- 450 001 9910404075503321 005 20231214133559.0 010 $a3-03928-880-6 035 $a(CKB)4100000011302383 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/51097 035 $a(EXLCZ)994100000011302383 100 $a20202102d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aKinetic Theory and Swarming Tools to Modeling Complex Systems?Symmetry problems in the Science of Living Systems 210 $cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 electronic resource (118 p.) 311 $a3-03928-879-2 330 $aThis MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences?specifically mathematics?without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these. 610 $ashort- and long-range interactions 610 $aliving systems 610 $astress conditions 610 $alearning 610 $asymmetric interactions 610 $aactive particles 610 $aconformist society 610 $akinetic equations 610 $akinetic models 610 $acomplex systems 610 $asafety 610 $ahaptotaxis 610 $aopinion dynamics 610 $amultiscale modeling 610 $aindividualistic society 610 $aCVaR 610 $akinetic theory 610 $asocial dynamics 610 $aboundary conditions 610 $apattern formation 610 $acrowd dynamics 610 $aintegro-differential equations 610 $ascaling 610 $aEfficient frontier 610 $acell movement 610 $avehicular traffic 610 $aCrowd dynamics 610 $alearning dynamics 700 $aBellomo$b Nicola$4auth$031305 906 $aBOOK 912 $a9910404075503321 996 $aKinetic Theory and Swarming Tools to Modeling Complex Systems?Symmetry problems in the Science of Living Systems$93022022 997 $aUNINA