Design and Analysis of Biomolecular Circuits

G. Russo, M Di Bernardo, J.J.E. Slotine

Research output: Book/ReportEdited book

Abstract

In this chapter, we present a theoretical framework for the analysis, synchronization and control of biochemical circuits and systems modeled by means of ODEs. The methodology is based on the use of contraction theory, a powerful concept from the theory of dynamical systems, ensuring convergence of all trajectories of a system of interest towards each other. After introducing contraction theory, we present some application to biochemical networks. Specifically, we introduce a graphical approach to verify if a system is contracting and apply it to synthesize networks of self-synchronizing Repressilators. We then present a more general analysis of quorum sensing networks and discuss the role of symmetry to explain the dynamics of incoherent feedforward loops common in biological networks.
Translated title of the contributionDesign and Analysis of Biomolecular Circuits
Original languageEnglish
PublisherSpringer
Volume1st Edition., 2011, XIII
ISBN (Print)9781441967657
Publication statusPublished - 2010

Bibliographical note

Other: Contraction theory for systems biology

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