LAUSR

Abstract In this paper, we study the kinetic realization problem of nonnegative delayed polynomial systems. Given a set of delayed polynomial differential equations, the task is to assign a chemical reaction network structure that realizes its dynamics. We show that similarly to the non-delayed case, this problem is generally non-uniquely solvable. We extend existing results for the realization of non-delayed models by proposing an algorithm to build delayed realizations and proving that the so-called dense realization defines a superstructure in the delayed case, too. The notions and results are shown on a simple illustrative example.