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Using Control Theory to Study Biology*

Brian P. Ingalls, Tau-Mu Yi, and Pablo A. Iglesias

in System Modeling in Cellular Biology: From Concepts to Nuts and Bolts

Published in print:
2006
Published Online:
August 2013
ISBN:
9780262195485
eISBN:
9780262257060
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262195485.003.0012
Subject:
Mathematics, Mathematical Biology

This chapter presents a framework ideally suited to an analysis of dynamic systems. Tools from control theory can be applied to elucidate the functioning of self-regulating (homeostatic) systems and ... More


Optimal Control Theory

Emanuel Todorov

in Bayesian Brain: Probabilistic Approaches to Neural Coding

Published in print:
2006
Published Online:
August 2013
ISBN:
9780262042383
eISBN:
9780262294188
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262042383.003.0012
Subject:
Neuroscience, Disorders of the Nervous System

Optimal control theory is a mathematical discipline for studying the neural control of movement. This chapter presents a mathematical introduction to optimal control theory and discusses the ... More


Optimal Control Theory with Applications in Economics

Thomas A. Weber

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015738
eISBN:
9780262298483
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015738.001.0001
Subject:
Mathematics, Probability / Statistics

This book bridges optimal control theory and economics, discussing ordinary differential equations (ODEs), optimal control, game theory, and mechanism design in one volume. Technically rigorous and ... More


A Control-Theoretic Interpretation of Metabolic Control Analysis

Brian P. Ingalls

in Control Theory and Systems Biology

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013345
eISBN:
9780262258906
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013345.003.0008
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter describes the implications of network stoichiometry for sensitivity analysis. It reinterprets the main results of metabolic control analysis (MCA) from the point of view of engineering ... More


Control Theory and Systems Biology

Pablo A. Iglesias and Brian P. Ingalls (eds)

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013345
eISBN:
9780262258906
Item type:
book
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013345.001.0001
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

Issues of regulation and control are central to the study of biological and biochemical systems. Thus it is not surprising that the tools of feedback control theory—engineering techniques developed ... More


A Primer on Control Engineering

Brian P. Ingalls and Pablo A. Iglesias

in Control Theory and Systems Biology

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013345
eISBN:
9780262258906
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013345.003.0001
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

This chapter addresses the main concepts in this book from dynamical systems and control theory, introducing ordinary differential equation-based modeling, which should allow theoretically inclined ... More


Mechanism Design

Thomas A. Weber

in Optimal Control Theory with Applications in Economics

Published in print:
2011
Published Online:
August 2013
ISBN:
9780262015738
eISBN:
9780262298483
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262015738.003.0005
Subject:
Mathematics, Probability / Statistics

This chapter reviews the basics of static mechanism design in settings where a principal faces a single agent of uncertain type. The aim of the resulting screening contract is for the principal to ... More


Robustness and Sensitivity Analyses in Cellular Networks

Jason E. Shoemaker, Peter S. Chang, Eric C. Kwei, Stephanie R. Taylor, and Francis J. Doyle III

in Control Theory and Systems Biology

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262013345
eISBN:
9780262258906
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262013345.003.0009
Subject:
Biology, Biomathematics / Statistics and Data Analysis / Complexity Studies

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 ... More


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