English

Active particles methods towards modeling in science and society

Soft Condensed Matter 2020-12-29 v1

Abstract

This paper is a first step to chase the ambitious objective of developing a mathmatical theory of living systems. The contents refer modeling large systems of interacting living entities with the aim of describing their collective behaviors by differential models. The contents is in three parts. Firstly, we derive the mathematical method; subsequently, we show how the method can be applied in a number of case studies related to well defined living systems and finally, we look ahead to research perspectives focusing both on mathematical methods and further applications.

Keywords

Cite

@article{arxiv.2012.14279,
  title  = {Active particles methods towards modeling in science and society},
  author = {Nicola Bellomo and Diletta Burini and Giovanni Dosi and Livio Gibelli and Damian Knopoff and Nisrine Outada and Pietro Terna and Maria Enrica Virgillito},
  journal= {arXiv preprint arXiv:2012.14279},
  year   = {2020}
}

Comments

32 pages

R2 v1 2026-06-23T21:29:39.487Z