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Contribution to Book
Robust Control Approaches for Synchronization of Biochemical Oscillators
Robust Control, Theory and Applications (2011)
  • Hector Puebla, UNIVERSIDAD AUTONOMA METROPOLITANA
Abstract

In this chapter we extend the application of robust controllers for the synchronization of three benchmark models of biochemical oscillators: (i) Goodwin model of genetic oscillations (Goodwin, 1965), (ii) FitzHugh-Nagumo model of neurons (FitzHugh, 1961); and (iii) a model of circadian rhythms in Drosphila (Goldbeter, 1996). We introduce three robust control approaches for the synchronization of biochemical oscillators: (i) A modeling error compensation approach (Alvarez-Ramirez, 1999), (ii) integral sliding mode control (Levant, 2001), and (iii) geometric linearizing control (Alvarez-Ramirez, 1999; Hangos et al., 2004). The proposed controllers have two nice features for biological applications: (i) robustness against model uncertainties, and (ii) simplicity in the resulting controller.We show how a certain class of cellular processes can be dynamically synchronized by appropriate input signals.

Keywords
  • synchronization,
  • biochemical oscillations,
  • robust control
Publication Date
Spring February 15, 2011
Editor
Andrzej Bartoszewicz
Publisher
InTech
Series
1
ISBN
978-953-307-229-6
Citation Information
Hector Puebla. "Robust Control Approaches for Synchronization of Biochemical Oscillators" 1CroatiaRobust Control, Theory and Applications Vol. 1 (2011)
Available at: http://works.bepress.com/hector_puebla/23/