From the mathematical kinetic, and stochastic game theory to modelling mutations, onset, progression and immune competition of cancer cells

N Bellomo, M Delitala - Physics of Life Reviews, 2008 - Elsevier
This paper deals with a review and critical analysis on the mathematical kinetic theory of
active particles applied to the modelling of the very early stage of cancer phenomena …

On the asymptotic theory from microscopic to macroscopic growing tissue models: An overview with perspectives

N Bellomo, A Bellouquid, J Nieto… - Mathematical Models and …, 2012 - World Scientific
This paper proposes a review and critical analysis of the asymptotic limit methods focused
on the derivation of macroscopic equations for a class of equations modeling complex …

[图书][B] Interacting multiagent systems: kinetic equations and Monte Carlo methods

L Pareschi, G Toscani - 2013 - books.google.com
The description of emerging collective phenomena and self-organization in systems
composed of large numbers of individuals has gained increasing interest from various …

[图书][B] La simplexité

A Berthoz - 2009 - degruyter.com
L'évolution a mis en place chez le vivant, face à la complexité du monde et l'augmentation
de la complexité des organismes vivants, des «principes simplificateurs». Ils ne sont pas …

On the modeling of traffic and crowds: A survey of models, speculations, and perspectives

N Bellomo, C Dogbe - SIAM review, 2011 - SIAM
This paper presents a review and critical analysis of the mathematical literature concerning
the modeling of vehicular traffic and crowd phenomena. The survey of models deals with the …

PGD-Based Computational Vademecum for Efficient Design, Optimization and Control

F Chinesta, A Leygue, F Bordeu, JV Aguado… - … methods in Engineering, 2013 - Springer
In this paper we are addressing a new paradigm in the field of simulation-based engineering
sciences (SBES) to face the challenges posed by current ICT technologies. Despite the …

Modeling crowd dynamics from a complex system viewpoint

N Bellomo, B Piccoli, A Tosin - Mathematical models and methods …, 2012 - World Scientific
This paper aims at indicating research perspectives on the mathematical modeling of crowd
dynamics, pointing on the one hand to insights into the complexity features of pedestrian …

On the modelling crowd dynamics from scaling to hyperbolic macroscopic models

N Bellomo, C Dogbe - … Models and Methods in Applied Sciences, 2008 - World Scientific
This paper, that deals with the modelling of crowd dynamics, is the first one of a project
finalized to develop a mathematical theory refereing to the modelling of the complex systems …

[图书][B] Science dynamics and research production

NK Vitanov, Vitanov, N Vitanov - 2016 - Springer
Nikolay K. Vitanov Indicators, Indexes, Statistical Laws and Mathematical Models Page 1
Qualitative and Quantitative Analysis of Scientific and Scholarly Communication Nikolay K …

On the difficult interplay between life," complexity", and mathematical sciences

N Bellomo, D Knopoff, J Soler - Mathematical Models and Methods …, 2013 - World Scientific
This paper presents a revisiting, with developments, of the so-called kinetic theory for active
particles, with the main focus on the modeling of nonlinearly additive interactions. The …