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Control Theory and Systems Biology$
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Pablo A. Iglesias and Brian P. Ingalls

Print publication date: 2009

Print ISBN-13: 9780262013345

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262013345.001.0001

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PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use.date: 22 September 2021

Robustness and Sensitivity Analyses in Cellular Networks

Robustness and Sensitivity Analyses in Cellular Networks

Chapter:
(p.169) 9 Robustness and Sensitivity Analyses in Cellular Networks
Source:
Control Theory and Systems Biology
Author(s):

Jason E. Shoemaker

Peter S. Chang

Eric C. Kwei

Stephanie R. Taylor

Francis J. Doyle III

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262013345.003.0009

This chapter introduces the useful model-analytic tools of both sensitivity analysis and structured singular value analysis and their application to cellular networks. It reviews the Nyquist stability criterion and extends it to conditions guaranteeing robust stability (RS). It then examines the structured singular value analysis for robust performance. This chapter shows that control-theoretic tools, such as sensitivity analysis and phase sensitivity, offer powerful means for network elucidation and manipulation in biological systems. It suggests that using tools from control theory to guide both mathematical modeling and experimental design can facilitate the iterative paradigm of systems biology and shed light on the complex network behavior underlying biological organisms.

Keywords:   sensitivity analysis, structured singular value analysis, cellular networks, Nyquist stability criterion, phase sensitivity, biological organisms, control theory, mathematical modeling, systems biology, network behavior

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