Timed continuous Petri nets based control for metabolome under Michaelis-Menten kinetics

This work introduces a novel control scheme for controlling the production rate of required compounds in the cell metabolome modeled with timed continuous Petri nets. The proposed scheme is devoted to control the enzyme that are binding to substrates during the cell metabolome reactions. This scheme represents the fact that the enzyme production is being altered by genetic engineering experimentation. Also this work presents a control law allowing to get the a priori specified compound production rate.