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.

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.

Mathematics, complexity and multiscale features of large systems of self-propelled particles

2015 ◽  
Vol 26 (02) ◽  
pp. 207-214 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi
Keyword(s):  
Complex Systems ◽  
Mathematical Theory ◽  
Life Sciences ◽  
Living Systems ◽  
Future Research ◽  
Large Systems

This issue is devoted to complex systems in life sciences. Some perspective ideas on possible objectives of future research are extracted from the contents of this issue and brought to the reader’s attention. The final ambitious aim is the development of a mathematical theory for complex living systems.

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.

COMPLEX SYSTEMS: NEW CHALLENGES WITH MODELING HEADACHES

2013 ◽  
Vol 24 (02) ◽  
pp. 213-219 ◽  
Author(s):  
N. BELLOMO ◽  
F. BREZZI
Keyword(s):  
Complex Systems ◽  
Mathematical Theory ◽  
Life Sciences ◽  
Living Systems ◽  
Future Research ◽  
Special Issue ◽  
New Challenges

This brief note is an introduction to the papers published in this special issue devoted to complex systems in life sciences. Out of this presentation some perspective ideas on conceivable future research objectives are extracted and brought to the reader's attention. The final (ambitious) aim is to develop a mathematical theory for complex living systems.

scholarly journals From particles to firms: on the kinetic theory of climbing up evolutionary landscapes

2020 ◽  
Vol 30 (07) ◽  
pp. 1441-1460 ◽  
Author(s):  
Nicola Bellomo ◽  
Giovanni Dosi ◽  
Damián A. Knopoff ◽  
Maria Enrica Virgillito
Keyword(s):  
Kinetic Theory ◽  
Mathematical Theory ◽  
Predictive Ability ◽  
Complex Interaction ◽  
Living Systems ◽  
Mathematical Representation ◽  
Future Research ◽  
Industrial Dynamics ◽  
Modeling And Simulations ◽  
Active Particles

This paper constitutes the first attempt to bridge the evolutionary theory in economics and the theory of active particles in mathematics. It seeks to present a kinetic model for an evolutionary formalization of economic dynamics. The new derived mathematical representation intends to formalize the processes of learning and selection as the two fundamental drivers of evolutionary environments [G. Dosi, M.-C. Pereira and M.-E. Virgillito, The footprint of evolutionary processes of learning and selection upon the statistical properties of industrial dynamics, Ind. Corp. Change, 26 (2017) 187–210]. To coherently represent the aforementioned properties, the kinetic theory of active particles [N. Bellomo, A. Bellouquid, L. Gibelli and N. Outada, A Quest Towards a Mathematical Theory of Living Systems (Birkhäuser-Springer, 2017)] is here further developed, including the complex interaction of two hierarchical functional subsystems. Modeling and simulations enlighten the predictive ability of the approach. Finally, we outline the potential avenues for future research.

Modeling behavioral social systems

2017 ◽  
Vol 27 (01) ◽  
pp. 1-11 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi ◽  
M. Pulvirenti
Keyword(s):  
Mathematical Theory ◽  
Social Systems ◽  
Living Systems ◽  
Future Research ◽  
Special Issue

This paper presents the papers published in a special issue devoted to the modeling of behavioral social systems. Some perspective ideas on possible objectives of future research are extracted from the contents of this issue and brought to the reader’s attention. The final ambitious aim is the development of a mathematical theory for complex living systems.

Traffic, crowds, and dynamics of self-organized particles: New trends and challenges

2014 ◽  
Vol 25 (03) ◽  
pp. 395-400 ◽  
Author(s):  
N. Bellomo ◽  
F. Brezzi
Keyword(s):  
Complex Systems ◽  
Qualitative Analysis ◽  
Critical Analysis ◽  
Future Research ◽  
Vehicular Traffic ◽  
Special Issue ◽  
Self Organized ◽  
Conceptual Difficulties

This brief note is an introduction to the special issue devoted to modeling, qualitative analysis and simulations of vehicular traffic, crowds and swarms, viewed as living, hence complex, systems. The first part focuses on the conceptual difficulties to be tackled when dealing with the most challenging topics of this subject, mainly on interactions and complexity features. The second part provides a brief overview and critical analysis of the contents. Finally, some perspective ideas on conceivable future research objectives are brought to the reader's attention.

Pengaruh Lintas Budaya Pada Pemasaran Internasional Dengan Pendekatan Perilaku Konsumen

2017 ◽  
Vol 1 (2) ◽  
pp. 168-176
Author(s):  
Endy Gunanto ◽  
Yenni Kurnia Gusti
Keyword(s):  
Consumer Behavior ◽  
Marketing Strategy ◽  
Consumer Culture ◽  
International Organization ◽  
Future Research ◽  
Special Issue ◽  
Cross Culture ◽  
Several Variables ◽  
Cultural Orientations ◽  
The Impact

In this article we present a conceptual of the effect of cross culture on consumer behavior incorporating the impact of globalization. This conceptual idea shows that culture inûuences various domains of consumer behavior directly as well as through international organization to implement marketing strategy. The conceptual identify several factors such as norm and value in the community, several variables and also depicts the impact of other environmental factors and marketing strategy elements on consumer behavior. We also identify categories of consumer culture orientation resulting from globalization. Highlights of each of the several other articles included in this special issue in Asia region. We conclude with the contributions of the articles in terms of the consumer cultural orientations and identify directions for future research.

Developing Management from Islamic Perspectives (MIP) as a Formal Academic Discipline

2009 ◽  
Vol 26 (1) ◽  
pp. 46-69
Author(s):  
Shamas-Ur-Rehman Toor
Keyword(s):  
Literature Review ◽  
Academic Discipline ◽  
Real Life ◽  
Growth Potential ◽  
Future Research ◽  
Business Practices ◽  
Research Directions ◽  
International Consortium ◽  
Future Research Directions ◽  
Scholarly Attention

Management from Islamic Perspectives (MIP) is an emerging field that has begun to attract scholarly attention. However, the research undertaken so far has been rather fragmented and lack a clear agenda. This paper presents a literature review of the field and the areas of current focus. Although the field has a huge growth potential, I argue that it faces several challenges and problems as it develops further. I outline these potential pitfalls, suggest how to develop MIP as a formal discipline, and explain how to integrate it within real-life business practices. The article closes with a call for research to be conducted in a more organized fashion through an international consortium of researchers as well as recommendations for future research directions.

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