Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems
This 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 scie...
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| Formatua: | Online |
| Hizkuntza: | ingelesa |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Gaiak: | |
| Sarrera elektronikoa: | 46151 |
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Etiketarik gabe, Izan zaitez lehena erregistro honi etiketa jartzen!
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| _version_ | 1869528061925392384 |
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| author | Bellomo, Nicola |
| author_browse | Bellomo, Nicola |
| author_facet | Bellomo, Nicola |
| author_sort | Bellomo, Nicola |
| collection | Directory of Open Access Books |
| description | This 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. |
| format | Online |
| id | doab-20.500.12854ir-51097 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-510972022-01-31T11:42:45Z Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems Bellomo, Nicola TX1-1110 T1-995 short- and long-range interactions living systems stress conditions learning symmetric interactions active particles conformist society kinetic equations kinetic models complex systems safety haptotaxis opinion dynamics multiscale modeling individualistic society CVaR kinetic theory social dynamics boundary conditions pattern formation crowd dynamics integro-differential equations scaling Efficient frontier cell movement vehicular traffic Crowd dynamics learning dynamics This 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. 2021-02-11T17:07:53Z 2021-02-11T17:07:53Z 2020-06-09 16:38:57 2020 book 46151 9783039288793 9783039288809 https://directory.doabooks.org/handle/20.500.12854/51097 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/2345 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03928-880-9 10.3390/books978-3-03928-880-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039288793 9783039288809 118 open access |
| spellingShingle | TX1-1110 T1-995 short- and long-range interactions living systems stress conditions learning symmetric interactions active particles conformist society kinetic equations kinetic models complex systems safety haptotaxis opinion dynamics multiscale modeling individualistic society CVaR kinetic theory social dynamics boundary conditions pattern formation crowd dynamics integro-differential equations scaling Efficient frontier cell movement vehicular traffic Crowd dynamics learning dynamics Bellomo, Nicola Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems |
| title | Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems |
| title_full | Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems |
| title_fullStr | Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems |
| title_full_unstemmed | Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems |
| title_short | Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems |
| title_sort | kinetic theory and swarming tools to modeling complex systems symmetry problems in the science of living systems |
| topic | TX1-1110 T1-995 short- and long-range interactions living systems stress conditions learning symmetric interactions active particles conformist society kinetic equations kinetic models complex systems safety haptotaxis opinion dynamics multiscale modeling individualistic society CVaR kinetic theory social dynamics boundary conditions pattern formation crowd dynamics integro-differential equations scaling Efficient frontier cell movement vehicular traffic Crowd dynamics learning dynamics |
| topic_facet | TX1-1110 T1-995 short- and long-range interactions living systems stress conditions learning symmetric interactions active particles conformist society kinetic equations kinetic models complex systems safety haptotaxis opinion dynamics multiscale modeling individualistic society CVaR kinetic theory social dynamics boundary conditions pattern formation crowd dynamics integro-differential equations scaling Efficient frontier cell movement vehicular traffic Crowd dynamics learning dynamics |
| url | 46151 |
| work_keys_str_mv | AT bellomonicola kinetictheoryandswarmingtoolstomodelingcomplexsystemssymmetryproblemsinthescienceoflivingsystems |