15th Triennial World Congress of the International Federation of Automatic Control
  Barcelona, 21–26 July 2002 
EQUIVALENCE OF ENZYME REACTIONS AND SIMPLE AND CASCADED FEEDBACK LOOPS
Miles Bradford Jacobs
Department of Electrical Engineering, Peninsula Technikon, Private Bag 1906, Bellville, 7535, South Africa

This paper demonstrates the equivalence between simple feedback loops and the biochemcal enzyme reactions in confined media that obey Michaelis-Menten kinetics. Single and cascaded reactions are modeled, and general principles to achieve enzyme transfer functions are set out. Reaction rate and concentration difference are identified as the through and across variables of biochemical networks, and it is shown that Kirchhoff’s laws can be applied to these systems. Allosteric inhibition is examined as a way of injecting external signals into the biochemical network.
Keywords: Bio control biocybernetics biomedical control system biotechnology physiological models
Session slot T-Mo-A20: Modelling and Control of Biochemical and Biological Sys/Area code 4c : Modelling and Control of Biomedical Systems