What is life? A perspective of the mathematical kinetic theory of active particles-Reference-Cited by-同舟云学术

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

Published:2021-07-28 Issue:09 Volume:31 Page:1821-1866
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

Bellomo Nicola¹,Burini Diletta²,Dosi Giovanni³,Gibelli Livio⁴,Knopoff Damian⁵⁶,Outada Nisrine⁷⁸,Terna Pietro⁹,Virgillito Maria Enrica³

Affiliation:

1. University of Granada, Politecnico of Torino and IMATI CNR, Italy

2. University of Perugia, Italy

3. Scuola Superiore Sant’Anna, Pisa, Italy

4. School of Engineering, Institute for Multiscale Thermofluids, University of Edinburgh, Edinburgh, UK

5. BCAM – Basque Center for Applied Mathematics, Bilbao, Basque Country, Spain

6. CIEM, CONICET, Córdoba, Argentina

7. Semlalia Faculty of Sciences, University Cadi Ayyad, LMDP, Morocco

8. UMMISCO, IRD-SU, France

9. University of Torino and Fondazione Collegio Carlo Alberto, Torino, Italy

Abstract

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.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202521500408

Reference139 articles.

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

2. Modelling COVID 19 in the Basque Country from introduction to control measure response

3. APPLICATION OF FLOCKING MECHANISM TO THE MODELING OF STOCHASTIC VOLATILITY

4. Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics

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