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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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