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 …

What is life? Active particles tools towards behavioral dynamics in social-biology and economics

N Bellomo, M Esfahanian, V Secchini, P Terna - Physics of Life Reviews, 2022 - Elsevier
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 …

[PDF][PDF] Mathematics and complexity in life and human sciences

N Bellomo, H Berestycki, F Brezzi… - … Models and Methods in …, 2010 - researchgate.net
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 …

What is life? A perspective of the mathematical kinetic theory of active particles

N Bellomo, D Burini, G Dosi, L Gibelli… - … Models and Methods …, 2021 - World Scientific
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 …

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 …

[图书][B] A quest towards a mathematical theory of living systems

N Bellomo, A Bellouquid, L Gibelli, N Outada - 2017 - Springer
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 …

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 …

[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 …

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 …

[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 …