Control structure and limitations of biochemical networks

F. López-Caamal, D. A. Oyarzún, J. A. Moreno, D. Kalamatianos

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract / Description of output

Biochemical networks typically exhibit intricate topologies that hinder their analysis with control-theoretic tools. In this work we present a systematic methodology for the identification of the control structure of a reaction network. The method is based on a bandwidth reduction technique applied to the incidence matrix of the network's graph. In addition, in the case of mass-action and stable networks we show that it is possible to identify linear algebraic dependencies between the time-domain integrals of some species' concentrations. We consider the extrinsic apoptosis pathway and an activation-inhibition mechanism to illustrate the application of our results.
Original languageEnglish
Title of host publicationProceedings of the 2010 American Control Conference
Number of pages6
Publication statusPublished - 1 Jun 2010
Event2010 American Control Conference - Baltimore, United States
Duration: 30 Jun 20102 Jul 2010


Conference2010 American Control Conference
Abbreviated titleACC 2010
Country/TerritoryUnited States
Internet address

Keywords / Materials (for Non-textual outputs)

  • biocontrol
  • linear algebra
  • time-domain analysis
  • control structure
  • biochemical networks
  • bandwidth reduction technique
  • incidence matrix
  • linear algebraic
  • time-domain integrals
  • extrinsic apoptosis pathway
  • activation-inhibition mechanism
  • Network topology
  • Biochemical analysis
  • Control systems
  • Bandwidth
  • Time domain analysis
  • Biological control systems
  • Computer networks
  • Control system analysis
  • Systems biology
  • Plants (biology)


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