In the last decade, the thermostatted kinetic theory has been proposed as a general
paradigm for the modeling of complex systems of the active matter and, in particular, in …

Changes in diet are heavily associated with high mortality rates in several types of cancer. In
this paper, a new mathematical model of tumor cells growth is established to dynamically …

The present paper deals with the kinetic-theoretic description of the evolution of systems
consisting of many particles interacting not only with each other but also with the external …

This paper is devoted to the modeling of the pedestrian dynamics by means of the
thermostatted kinetic theory. Specifically the microscopic interactions among pedestrians …

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 …

This paper is devoted to the derivation and mathematical analysis of new thermostatted
kinetic theory frameworks for the modeling of nonequilibrium complex systems composed by …

The avoidance behavior of pedestrians was characterized in the present paper by
simulating the movement of crowds in both unidirectional and bidirectional pedestrian flow …

This paper deals with the mathematical proof of the existence of the nonequilibrium
stationary states in complex systems subjected to external force fields. Specifically the …

This paper is devoted to a mathematical proof of the continuous dependence on the initial
data for the discrete thermostatted kinetic framework, for all T> 0. This is a versatile model for …

This paper is concerned with the mathematical modeling of complex living systems whose
element microscopic state contains variables which can attain discrete values. Specifically …