A kinetic framework for modeling nonequilibrium biological and chemical systems

Abstract

This paper deals with the introduction of nonconservative interactions in the thermostatted kinetic equations system, which is a set of autonomous partial integro-differential equations with
quadratic nonlinearity. The time evolution of the solutions is obtained by considering three different operators: the operator which models conservative interactions, the operator that takes care of nonconservative interactions and the operator that allows the control of the moment evolution of the system. Applications refer to the modeling of complex biological and chemical systems.