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 …
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 …
[PDF][PDF] Mathematics and complexity in life and human sciences
The collective overall behavior of large systems of interacting individuals is determined by
the dynamics of their interactions. On the other hand, a traditional modeling of individual …
the dynamics of their interactions. On the other hand, a traditional modeling of individual …
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 …
Toward a mathematical theory of living systems focusing on developmental biology and evolution: A review and perspectives
N Bellomo, B Carbonaro - Physics of Life Reviews, 2011 - Elsevier
This review paper is devoted to present a personal perspective, based on a critical analysis
of the existing literature, about the conceptual difficulties that mathematics meets when …
of the existing literature, about the conceptual difficulties that mathematics meets when …
[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 …
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 …
active particles applied to the modelling of the very early stage of cancer phenomena …
[HTML][HTML] On the modelling of space dynamics in the kinetic theory for active particles
C Bianca - Mathematical and Computer Modelling, 2010 - Elsevier
This paper proposes an analysis of the modelling of space dynamics focused on a general
class of models of the kinetic theory for active particles in space homogeneity. Various …
class of models of the kinetic theory for active particles in space homogeneity. Various …