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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …