What is life? A perspective of the mathematical kinetic theory of active particles
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 …
with the aim of describing their collective behaviors. The mathematical approach is …
On the difficult interplay between life," complexity", and mathematical sciences
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 …
particles, with the main focus on the modeling of nonlinearly additive interactions. The …
[图书][B] A quest towards a mathematical theory of living systems
This book is devoted to the design of a unified mathematical approach to the modeling and
analysis of large systems constituted by several interacting living entities. It is a challenging …
analysis of large systems constituted by several interacting living entities. It is a challenging …
Complexity analysis and mathematical tools towards the modelling of living systems
N Bellomo, C Bianca, M Delitala - Physics of Life Reviews, 2009 - Elsevier
This paper is a review and critical analysis of the mathematical kinetic theory of active
particles applied to the modelling of large living systems made up of interacting entities. The …
particles applied to the modelling of large living systems made up of interacting entities. The …
Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems
N Bellomo, G Forni - Mathematical Models and Methods in Applied …, 2006 - World Scientific
This paper deals with the development of new paradigms based on the methods of the
mathematical kinetic theory for active particles to model the dynamics of large systems of …
mathematical kinetic theory for active particles to model the dynamics of large systems of …
[图书][B] Modeling complex living systems: a kinetic theory and stochastic game approach
N Bellomo - 2008 - books.google.com
Using tools from mathematical kinetic theory and stochastic game theory, this work deals
with the modeling of large complex systems in the applied sciences, particularly those …
with the modeling of large complex systems in the applied sciences, particularly those …
On the interplay between behavioral dynamics and social interactions in human crowds
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 …
the dynamics of human crowds, where social interactions can have an important influence …
Towards a mathematical theory of behavioral human crowds
The first part of our paper presents a general survey on the modeling, analytic problems, and
applications of the dynamics of human crowds, where the specific features of living systems …
applications of the dynamics of human crowds, where the specific features of living systems …
Mathematical methods and tools of kinetic theory towards modelling complex biological systems
A Bellouquid, M Delitala - … models and methods in applied sciences, 2005 - World Scientific
This paper develops a variety of mathematical tools to model the dynamics of large systems
of interacting cells. Interactions are ruled not only by laws of classical mechanics, but also by …
of interacting cells. Interactions are ruled not only by laws of classical mechanics, but also by …
On the modelling of crowd dynamics by generalized kinetic models
C Dogbe - Journal of Mathematical Analysis and Applications, 2012 - Elsevier
We introduce a new approach for modelling the behavior of pedestrians which borrows
techniques from the kinetic theory of rarefied gazes. This approach is based on concepts …
techniques from the kinetic theory of rarefied gazes. This approach is based on concepts …