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 …
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 …
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 …
[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 …
[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 …
[HTML][HTML] On the modeling of nonlinear interactions in large complex systems
N Bellomo, C Bianca, MS Mongiovì - Applied Mathematics Letters, 2010 - Elsevier
This work deals with the modeling of large systems of interacting entities in the framework of
the mathematical kinetic theory for active particles. The contents are specifically focused on …
the mathematical kinetic theory for active particles. The contents are specifically focused on …
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 …
On a mathematical theory of complex systems on networks with application to opinion formation
D Knopoff - Mathematical Models and Methods in Applied …, 2014 - World Scientific
This paper presents a development of the so-called kinetic theory for active particles to the
modeling of living, hence complex, systems localized in networks. The overall system is …
modeling of living, hence complex, systems localized in networks. The overall system is …
From discrete kinetic and stochastic game theory to modelling complex systems in applied sciences
ML Bertotti, M Delitala - … Models and Methods in Applied Sciences, 2004 - World Scientific
This paper deals with some methodological aspects related to the discretization of a class of
integro-differential equations modelling the evolution of the probability distribution over the …
integro-differential equations modelling the evolution of the probability distribution over the …
What is life? Active particles tools towards behavioral dynamics in social-biology and economics
This review paper is devoted to study the conceptual difficulties that mathematics meets
when attempting to describe the complexity of living matter focusing on the challenging …
when attempting to describe the complexity of living matter focusing on the challenging …