H Feedback Control Theory in Biochemical Systems

Eli Gershon*, Uri Shaked

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


A new approach is presented for the study of H optimal control of biochemical pathways. Starting with various linear models of single enzymatic reaction systems, a simple unbranched four-block enzyme system that contains a negative feedback loop is analyzed in the open- and the closed-loop configurations, where it is shown that the closed-loop configuration is one of the static output-feedback control systems. The original nonlinear four-block system is modeled as a polytopic-type uncertain linear system, where the extent of the nonlinearity can be “tuned” by a fictitious uncertainty interval, thus better capturing the nonlinear nature of the systems under study. The sensitivity of the latter enzymatic system to variations in certain variables is explored via the optimal H control approach. Based on this approach, the threonine synthesis pathway that contains three negative feedback loops is analyzed and is shown to be optimal in the H sense.

Original languageEnglish
Title of host publicationLecture Notes in Control and Information Sciences
PublisherSpringer Verlag
Number of pages48
StatePublished - 2019

Publication series

NameLecture Notes in Control and Information Sciences
ISSN (Print)0170-8643
ISSN (Electronic)1610-7411


Dive into the research topics of 'H Feedback Control Theory in Biochemical Systems'. Together they form a unique fingerprint.

Cite this