Computing reaction kinetic realizations of positive nonlinear systems using mixed integer programming

The reaction kinetic realizations of nonnegative polynomial systems are studied in this paper. It is brie y reviewed that a wide class of positive systems can be written in or simply transformed to kinetic form. Based on the structure of kinetic realizations, valuable information can be obtained about the dynamical properties of the investigated systems using the results of chemical reaction network theory (CRNT). Since the realizations of a given system can have many di erent structures, mixed integer linear programming is used to generate the ones with required properties (i.e. the minimal/maximal number of reactions or complexes).