title: Controllability in hybrid kinetic equations modeling nonequilibrium multicellular systems.
abstract: This paper is concerned with the derivation of hybrid kinetic partial integrodifferential equations that can be proposed for the mathematical modeling of multicellular systems subjected to external force fields and characterized by nonconservative interactions. In order to prevent an uncontrolled time evolution of the moments of the solution, a control operator is introduced which is based on the Gaussian thermostat. Specifically, the analysis shows that the moments are solution of a Riccati-type differential equation.
authors.affiliation: Dipartimento di Scienze Matematiche, Politecnico, Corso Duca degli Abruzzi 24, 10129 Torino, Italy.
authors.forename: Carlo
authors.initials: C
authors.lastname: Bianca
mesh_terms: D007700:Kinetics; D008954:Models, Biological