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 …

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 …

[HTML][HTML] A kinetic framework under the action of an external force field: Analysis and application in epidemiology

M Menale, CF Munafò - Chaos, Solitons & Fractals, 2023 - Elsevier
The tools of kinetic theory allow to describe the dynamics and evolution of a system
composed of stochastically interacting particles. The interaction is modeled by means of two …

[PDF][PDF] Towards a mathematical theory of complex socio-economical systems by functional subsystems representation

GA Marsan, N Bellomo, M Egidi - Kinet. Relat. Models, 2008 - academia.edu
This paper deals with the development of a mathematical theory for complex socio-
economical systems. The approach is based on the methods of the mathematical kinetic …

[图书][B] Modeling love dynamics

S Rinaldi, F Della Rossa, F Dercole, A Gragnani… - 2015 - books.google.com
This book shows, for the very first time, how love stories—a vital issue in our lives—can be
tentatively described with classical mathematics. Focus is on the derivation and analysis of …

Small discoveries can have great consequences in love affairs: the case of Beauty and the Beast

S Rinaldi, P Landi, FD ROSSA - International Journal of Bifurcation …, 2013 - World Scientific
A mathematical model is proposed for interpreting the love story portrayed by Walt Disney in
the film" Beauty and The Beast". The analysis shows that the story is characterized by a …

Mathematical analysis of an autoimmune diseases model: Kinetic approach

M Kolev - Mathematics, 2019 - mdpi.com
A new mathematical model of a general autoimmune disease is presented. Basic
information about autoimmune diseases is given and illustrated with examples. The model is …

Experimental versus numerical data for breast cancer progression

CL Jorcyk, M Kolev, K Tawara, B Zubik-Kowal - Nonlinear Analysis: Real …, 2012 - Elsevier
This paper deals with a mouse model of breast cancer based on two mammary
adenocarcinoma cell lines derived from a spontaneous tumor of the mammary gland in a …

[PDF][PDF] A mathematical model of" Pride and Prejudice"

S Rinaldi, F Della Rossa, P Landi - … Dynamics, Psychology and …, 2014 - re.public.polimi.it
Love stories are dynamical processes that develop in time starting, in general, from a state of
indifference. They reach a stationary, cyclic, or chaotic regime where they often remain for a …

[HTML][HTML] A nonconservative kinetic model under the action of an external force field for modeling the medical treatment of autoimmune response

M Menale, R Travaglini - … in Nonlinear Science and Numerical Simulation, 2024 - Elsevier
In this paper, we develop a nonconservative kinetic framework to be applied to the study of
immune system dysregulation. From the modeling viewpoint, the model regards a system …