Collective dynamics in science and society

2021 ◽  
pp. 1-6
Author(s):  
N. Bellomo ◽  
F. Brezzi
Keyword(s):  
Critical Analysis ◽  
Large Scale ◽  
Particle Methods ◽  
Science And Society ◽  
Special Issue ◽  
Collective Dynamics ◽  
Multiscale Problems ◽  
Research Perspectives ◽  
Active Particles ◽  
Large Systems

This editorial paper presents the articles published in a special issue devoted to active particle methods applied to modeling, qualitative analysis, and simulation of the collective dynamics of large systems of interacting living entities in science and society. The modeling approach refers to the mathematical tools of behavioral swarms theory and to the kinetic theory of active particles. Applications focus on classical problems of swarms theory, on crowd dynamics related to virus contagion problems, and to multiscale problems related to the derivation of models at a large scale from the mathematical description at the microscopic scale. A critical analysis of the overall contents of the issue is proposed, with the aim to provide a forward look to research perspectives.

Active particles methods and challenges in behavioral systems

2020 ◽  
Vol 30 (04) ◽  
pp. 653-658 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi ◽  
J. Soler
Keyword(s):  
Qualitative Analysis ◽  
Critical Analysis ◽  
Mathematical Approach ◽  
Special Issue ◽  
Behavioral Systems ◽  
Research Perspectives ◽  
Active Particles ◽  
Challenging Research ◽  
Large Systems

This paper first provides an introduction to the mathematical approach to the modeling, qualitative analysis, and simulation of large systems of living entities, specifically self-propelled particles. Subsequently, a presentation of the papers published in this special issue follows. Finally, a critical analysis of the overall contents of the issue is proposed, thus leading to define some challenging research perspectives.

Recent results and challenges in behavioral systems

2020 ◽  
Vol 30 (10) ◽  
pp. 1857-1862 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi ◽  
J. Soler
Keyword(s):  
Qualitative Analysis ◽  
Critical Analysis ◽  
Special Issue ◽  
Collective Dynamics ◽  
Behavioral Systems ◽  
Research Perspectives

This editorial paper is devoted to present the papers published in a special issue focused on modeling, qualitative analysis and simulation of the collective dynamics of living, self-propelled particles. A critical analysis of the overall contents of the issue is proposed, thus leading to a forward look to research perspectives.

LOOKING FOR NEW PARADIGMS TOWARDS A BIOLOGICAL-MATHEMATICAL THEORY OF COMPLEX MULTICELLULAR SYSTEMS

2006 ◽  
Vol 16 (07) ◽  
pp. 1001-1029 ◽  
Author(s):  
NICOLA BELLOMO ◽  
GUIDO FORNI
Keyword(s):  
Kinetic Theory ◽  
Complex Systems ◽  
Critical Analysis ◽  
Mathematical Theory ◽  
Classical Mechanics ◽  
Biological Functions ◽  
Living Matter ◽  
Research Perspectives ◽  
Active Particles ◽  
Large Systems

This paper deals with the development of new paradigms based on the methods of the mathematical kinetic theory for active particles to model the dynamics of large systems of interacting cells. Interactions are ruled, not only by laws of classical mechanics, but also by a few biological functions which are able to modify the above laws. The paper technically shows, also by reasoning on specific examples, how the theory can be applied to model large complex systems in biology. The last part of the paper deals with a critical analysis and with the indication of research perspectives concerning the challenging target of developing a biological-mathematical theory for the living matter.

Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems

2021 ◽  
pp. 1-7
Author(s):  
N. Bellomo ◽  
F. Brezzi ◽  
M. A. J. Chaplain
Keyword(s):  
Complex System ◽  
Population Dynamics ◽  
Mathematical Models ◽  
Modeling And Simulation ◽  
Critical Analysis ◽  
Living Systems ◽  
Special Issue ◽  
Research Perspectives ◽  
Heterogeneous Features

This editorial paper presents the papers published in a special issue devoted to the modeling and simulation of mutating virus pandemics in a globally connected world. The presentation is proposed in three parts. First, motivations and objectives are presented according to the idea that mathematical models should go beyond deterministic population dynamics by considering the multiscale, heterogeneous features of the complex system under consideration. Subsequently, the contents of the papers in this issue are presented referring to the aforementioned complexity features. Finally, a critical analysis of the overall contents of the issue is proposed, with the aim of providing a forward look to research perspectives.

Cross-diffusion models: Analytic and multiscale problems

2018 ◽  
Vol 28 (11) ◽  
pp. 2097-2102 ◽  
Author(s):  
N. Bellomo ◽  
Y. Tao ◽  
M. Winkler
Keyword(s):  
Diffusion Models ◽  
Special Issue ◽  
Multiscale Problems ◽  
Cross Diffusion ◽  
Research Perspectives ◽  
Concise Description

A presentation of a special issue on the derivation of cross-diffusion models and on the related analytical problems is proposed in this note. A brief introduction to motivations and recently published literature is presented in the first part. Subsequently, a concise description of the contents of the papers published in the issue follows. Finally, some ideas on possible research perspectives are proposed.

scholarly journals A multiscale model of virus pandemic: Heterogeneous interactive entities in a globally connected world

2020 ◽  
Vol 30 (08) ◽  
pp. 1591-1651 ◽  
Author(s):  
Nicola Bellomo ◽  
Richard Bingham ◽  
Mark A. J. Chaplain ◽  
Giovanni Dosi ◽  
Guido Forni ◽  
...  
Keyword(s):  
Critical Analysis ◽  
Large Scale ◽  
Spatial Scales ◽  
Lattice Models ◽  
Multiscale Model ◽  
Small Scale ◽  
The Third ◽  
Research Perspectives ◽  
Complex Features ◽  
Modelling Approach

This paper is devoted to the multidisciplinary modelling of a pandemic initiated by an aggressive virus, specifically the so-called SARS–CoV–[Formula: see text] Severe Acute Respiratory Syndrome, corona virus n.[Formula: see text]. The study is developed within a multiscale framework accounting for the interaction of different spatial scales, from the small scale of the virus itself and cells, to the large scale of individuals and further up to the collective behaviour of populations. An interdisciplinary vision is developed thanks to the contributions of epidemiologists, immunologists and economists as well as those of mathematical modellers. The first part of the contents is devoted to understanding the complex features of the system and to the design of a modelling rationale. The modelling approach is treated in the second part of the paper by showing both how the virus propagates into infected individuals, successfully and not successfully recovered, and also the spatial patterns, which are subsequently studied by kinetic and lattice models. The third part reports the contribution of research in the fields of virology, epidemiology, immune competition, and economy focussed also on social behaviours. Finally, a critical analysis is proposed looking ahead to research perspectives.

Recent results and perspectives for virtual element methods

2021 ◽  
pp. 1-6
Author(s):  
L. Beirao da Veiga ◽  
N. Bellomo ◽  
F. Brezzi ◽  
L. D. Marini
Keyword(s):  
Critical Analysis ◽  
Special Issue ◽  
Research Perspectives ◽  
Virtual Element Methods ◽  
Virtual Element

This editorial paper is devoted to present the papers published in a special issue focused on recent views, applications, and results of virtual element methods (VEM). A critical analysis of the overall contents of the issue is proposed, thus leading to a forward look to research perspectives.

Towards a multiscale vision of active particles

2019 ◽  
Vol 29 (04) ◽  
pp. 581-588 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi
Keyword(s):  
Qualitative Analysis ◽  
Real Life ◽  
Living Systems ◽  
Future Research ◽  
Special Issue ◽  
Research Programs ◽  
Active Particles ◽  
Large Systems

The aim of this paper is first to provide a presentation of the papers published in a special issue devoted to modeling, qualitative analysis, control and simulations of large systems of living entities, viewed as active particles, related to real-life applications, and subsequently to present some prospective ideas on possible future research programs for the development of mathematical tools to model living systems.

scholarly journals Towards a mathematical theory of behavioral human crowds

2022 ◽  
pp. 1-38
Author(s):  
Nicola Bellomo ◽  
Livio Gibelli ◽  
Annalisa Quaini ◽  
Alessandro Reali
Keyword(s):  
Critical Analysis ◽  
Mathematical Theory ◽  
Social Dynamics ◽  
Living Systems ◽  
General Survey ◽  
Multiscale Problems ◽  
Modeling Approach ◽  
Research Perspectives

The first part of our paper presents a general survey on the modeling, analytic problems, and applications of the dynamics of human crowds, where the specific features of living systems are taken into account in the modeling approach. This critical analysis leads to the second part which is devoted to research perspectives on modeling, analytic problems, multiscale topics which are followed by hints towards possible achievements. Perspectives include the modeling of social dynamics, multiscale problems and a detailed study of the link between crowds and swarms modeling.

Touchy-Feely History: The ‘Stuff’ of American Culture

2015 ◽  
Vol 4 (1) ◽  
pp. 4-18
Author(s):  
Lauren Rebecca Sklaroff
Keyword(s):  
Material Culture ◽  
Cultural History ◽  
Race And Ethnicity ◽  
The Body ◽  
Special Issue ◽  
Historical Significance ◽  
Research Perspectives ◽  
Economic Trends ◽  
Recent Trends ◽  
New Research

This state of the field essay examines recent trends in American Cultural History, focusing on music, race and ethnicity, material culture, and the body. Expanding on key themes in articles featured in the special issue of Cultural History, the essay draws linkages to other important literatures. The essay argues for more a more serious consideration of the products within popular culture, less as a reflection of social or economic trends, rather for their own historical significance. While the essay examines some classic texts, more emphasis is on work published within the last decade. Here, interdisciplinary methods are stressed, as are new research perspectives developing by non-western historians.

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