Classical control theory approach to enzymatic reactions

In this paper we present some models of various enzymatic reaction systems amenable to analytic techniques of classical control theory. These models extend from simple and most abundant cases to more involved cases where (negative) feedback plays a major role at the level of a single enzyme reaction (including the so called ‘feed-back inhibition’). Using the above models we point at the specific feedback loop at the molecular level, if it exists, of a given reaction scheme. A simple numerical analysis of an enzyme reaction system demonstrates the applicability of our approach.