7 citations · 7 across the 4 of their papers we have counts for
6 papers
The Mathematical Theory of Behavioural Swarms: Towards Modelling the Collective Dynamics of Living Systems
Rene Fabregas, Jie Liao, Nisrine Outada
Classical swarm models, exemplified by the Cucker--Smale framework, provide foundational insights into collective alignment but exhibit fundamental limitations in capturing the ada…
Active particles methods towards modeling in science and society
Nicola Bellomo, Diletta Burini, Giovanni Dosi +5
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 en…
Towards a mathematical theory of behavioral swarms
Nicola Bellomo, Seung-Yeal Ha, Nisrine Outada
This paper presents a unified mathematical theory of swarms where the dynamics of social behaviors interacts with the mechanical dynamics of self-propelled particles. The term beha…
On the Hilbert Method in the Kinetic Theory of Multicellular Systems: Hyperbolic Limits and Convergence Proof
Mohamed Khaladi, Nisrine Outada, Nicolas Vauchelet
We consider a system of two kinetic equations modelling a multicellular system : The first equation governs the dynamics of cells, whereas the second kinetic equation governs the d…
On the Interplay between Behavioral Dynamics and Social Interactions in Human Crowds
Nicola Bellomo, Livio Gibelli, Nisrine Outada
This paper provides an overview and critical analysis on the modeling and applications of the dynamics of human crowds, where social interactions can have an important influence on…
From Kinetic Theory of Multicellular Systems to Hyperbolic Tissue Equations: Asymptotic Limits and Computing
Nisrine Outada, Nicolas Vauchelet, Thami Akrid +1
This paper deals with the analysis of the asymptotic limit toward the derivation of macroscopic equations for a class of equations modeling complex multicellular systems by methods…