Jump to ContentJump to Main Navigation
Biomolecular Feedback Systems$
Users without a subscription are not able to see the full content.

Domitilla Del Vecchio and Richard M. Murray

Print publication date: 2014

Print ISBN-13: 9780691161532

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691161532.001.0001

Show Summary Details
Page of

PRINTED FROM PRINCETON SCHOLARSHIP ONLINE (www.princeton.universitypressscholarship.com). (c) Copyright Princeton University Press, 2022. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in PRSO for personal use.date: 29 May 2022

Analysis of Dynamic Behavior

Analysis of Dynamic Behavior

(p.89) Chapter 3 Analysis of Dynamic Behavior
Biomolecular Feedback Systems

Domitilla Del Vecchio

Richard M. Murray

Princeton University Press

This chapter turns to some of the tools from dynamical systems and feedback control theory that will be used in the rest of the text to analyze and design biological circuits. It first models the dynamics of a system using the input/output modeling formalism described in Chapter 1 and then studies the “robustness” of the system of a given function of the circuit. The chapter then discusses some of the underlying ideas for how to model biological oscillatory behavior, focusing on those types of oscillations that are most common in biomolecular systems. Hereafter, the chapter explores how the location of equilibrium points, their stability, their regions of attraction, and other dynamic phenomena vary based on the values of the parameters in a model. Finally, methods for reducing the complexity of the models that are introduced in this chapter are reviewed.

Keywords:   dynamical systems, feedback control theory, biological circuits, modeling formalism, robustness, biological oscillations, equilibrium points, deterministic models

Princeton Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us.