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

被引：68

作者：

Bellomo, Nicola ^{[1
,2
,3
]}

Burini, Diletta ^{[4
]}

Dosi, Giovanni ^{[5
]}

Gibelli, Livio ^{[6
]}

Knopoff, Damian ^{[7
,8
]}

Outada, Nisrine ^{[9
,10
]}

Terna, Pietro ^{[11
,12
]}

Virgillito, Maria Enrica ^{[5
]}

机构：

[1] Univ Granada, Granada, Spain

[2] Politecn Torino, Turin, Italy

[3] IMATI CNR, Pavia, Italy

[4] Univ Perugia, Perugia, Italy

[5] Scuola Super Sant Anna, Pisa, Italy

[6] Univ Edinburgh, Sch Engn, Inst Multiscale Thermofluids, Edinburgh, Midlothian, Scotland

[7] BCAM Basque Ctr Appl Math, Bilbao, Basque Country, Spain

[8] Consejo Nacl Invest Cient & Tecn, CIEM, Cordoba, Argentina

[9] Univ Cadi Ayyad, Semlalia Fac Sci, LMDP, Marrakech, Morocco

[10] UMMISCO, IRD SU, Paris, France

[11] Univ Torino, Turin, Italy

[12] Fdn Coll Carlo Alberto, Turin, Italy

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2021年 / 31卷 / 09期

关键词：

Active particles; collective learning; complexity; crowd dynamics; evolutionary economics; multiscale problems; kinetic theory; virus pandemics; PEDESTRIAN DYNAMICS; TRAFFIC FLOW; MODEL; BEHAVIOR; SYSTEMS; LOOKING; CANCER; CONVERGENCE; POPULATIONS; CONTAGION;

D O I：

10.1142/S0218202521500408

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1821 / 1866

页数：46

共 145 条

[1] Risk perception and behavioral change during epidemics: Comparing models of individual and collective learning [J].

Abdulkareem, Shaheen A. ;

Augustijn, Ellen-Wien ;

Filatova, Tatiana ;

Musial, Katarzyna ;

Mustafa, Yaseen T. .

PLOS ONE, 2020, 15 (01)

[2]

Aguiar M., 2020, Commun. Biomath. Sci., V3, P60, DOI 10.5614/cbms.2020.3.1.6

[3] Modelling COVID 19 in the Basque Country from introduction to control measure response [J].

Aguiar, Maira ;

Ortuondo, Eduardo Millan ;

Bidaurrazaga Van-Dierdonck, Joseba ;

Mar, Javier ;

Stollenwerk, Nico .

SCIENTIFIC REPORTS, 2020, 10 (01)

[4] APPLICATION OF FLOCKING MECHANISM TO THE MODELING OF STOCHASTIC VOLATILITY [J].

Ahn, Shinmi ;

Bae, Hyeong-Ohk ;

Ha, Seung-Yeal ;

Kim, Yongsik ;

Lim, Hyuncheul .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2013, 23 (09) :1603-1628

[5] Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics [J].

Ajmone Marsan, G. ;

Bellomo, N. ;

Gibelli, L. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2016, 26 (06) :1051-1093

[6] Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives [J].

Albi, G. ;

Bellomo, N. ;

Fermo, L. ;

Ha, S. -Y. ;

Kim, J. ;

Pareschi, L. ;

Poyato, D. ;

Soler, J. .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2019, 29 (10) :1901-2005

[7]

Albi G, 2020, CROWD DYNAMICS, V2, P159

[8] Boltzmann Games in Heterogeneous Consensus Dynamics [J].

Albi, Giacomo ;

Pareschi, Lorenzo ;

Zanella, Mattia .

JOURNAL OF STATISTICAL PHYSICS, 2019, 175 (01) :97-125

[9] MORE IS DIFFERENT - BROKEN SYMMETRY AND NATURE OF HIERARCHICAL STRUCTURE OF SCIENCE [J].

ANDERSON, PW .

SCIENCE, 1972, 177 (4047) :393-&

[10]

[Anonymous], Racing to the Beginning of the Road

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