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What is life? A perspective of the mathematical kinetic theory of active particles

Authors :
Pietro Terna
Nicola Bellomo
Giovanni Dosi
Diletta Burini
Livio Gibelli
Nisrine Outada
Damián Alejandro Knopoff
Maria Enrica Virgillito
University of Granada [Granada]
Università degli Studi di Perugia (UNIPG)
Scuola Universitaria Superiore Sant'Anna [Pisa] (SSSUP)
University of Edinburgh
Basque Center for Applied Mathematics (BCAM)
Basque Center for Applied Mathematics
Université Cadi Ayyad [Marrakech] (UCA)
Unité de modélisation mathématique et informatique des systèmes complexes [Bondy] (UMMISCO)
Institut de Recherche pour le Développement (IRD [France-Nord])-Institut de la francophonie pour l'informatique-Université Cheikh Anta Diop [Dakar, Sénégal] (UCAD)-Université Gaston Bergé (Saint-Louis, Sénégal)-Université Cadi Ayyad [Marrakech] (UCA)-Université de Yaoundé I-Sorbonne Université (SU)
Università degli studi di Torino (UNITO)
Universidad de Granada = University of Granada (UGR)
Università degli Studi di Perugia = University of Perugia (UNIPG)
Université de Yaoundé I-Institut de la francophonie pour l'informatique-Université Cheikh Anta Diop [Dakar, Sénégal] (UCAD)-Université Gaston Bergé (Saint-Louis, Sénégal)-Université Cadi Ayyad [Marrakech] (UCA)-Sorbonne Université (SU)-Institut de Recherche pour le Développement (IRD [France-Nord])
Università degli studi di Torino = University of Turin (UNITO)
Source :
Mathematical Models and Methods in Applied Sciences, Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2021, 31 (09), pp.1821-1866. ⟨10.1142/S0218202521500408⟩, BIRD: BCAM's Institutional Repository Data, instname, Mathematical Models and Methods in Applied Sciences, 2021, 31 (09), pp.1821-1866. ⟨10.1142/S0218202521500408⟩
Publication Year :
2021
Publisher :
HAL CCSD, 2021.

Abstract

International audience; The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of the kinetic theory of active particles. The presentation is in three parts. First, we derive the mathematical tools, subsequently, we show how the method can be applied to a number of case studies related to well defined living systems, and finally, we look ahead to research perspectives.

Subjects

Subjects :
Crowd dynamics
Computer science
virus pandemics
01 natural sciences
Active particles
0103 physical sciences
92D30
evolutionary economics
multiscale problems
Statistical physics
0101 mathematics
[MATH]Mathematics [math]
010306 general physics
Applied Mathematics
Perspective (graphical)
virus pandemic
collective learning
Collaborative learning
Living systems
010101 applied mathematics
92C60
Modeling and Simulation
Kinetic theory of gases
kinetic theory
Evolutionary economics
crowd dynamics
complexity

Details

Language :
English
ISSN :
02182025 and 17936314
Database :
OpenAIRE
Journal :
Mathematical Models and Methods in Applied Sciences, Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2021, 31 (09), pp.1821-1866. ⟨10.1142/S0218202521500408⟩, BIRD: BCAM's Institutional Repository Data, instname, Mathematical Models and Methods in Applied Sciences, 2021, 31 (09), pp.1821-1866. ⟨10.1142/S0218202521500408⟩
Accession number :
edsair.doi.dedup.....0813183f0264ff8d58490b4c50d8094a
Full Text :
https://doi.org/10.1142/S0218202521500408⟩
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