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Determination of Complex

Reaction Mechanisms

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Determination of Complex

Reaction Mechanisms

Analysis of Chemical, Biological,

and Genetic Networks

John Ross

Department of Chemistry, Stanford University

Igor Schreiber

Department of Chemical Engineering,

Prague Institute of Chemical Technology

Marcel O. Vlad

Department of Chemistry, Stanford University, and

Center for Mathematical Statistics, Romania

WITH CONTRIBUTIONS FROM

Adam Arkin

Department of Bioengineering,

University of California, Berkeley

Peter J. Oefner and Nicola Zamboni

Stanford Genome Technology Center,

Stanford University

2006

Oxford University Press, Inc., publishes works that further Oxford University’s objective of excellence

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Copyright © 2006 by Oxford University Press, Inc.

Published by Oxford University Press, Inc.

198 Madison Avenue, New York, New York 10016 www.oup.com

Oxford is a registered trademark of Oxford University Press

All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise,

without the prior permission of Oxford University Press.

Library of Congress Cataloging-in-Publication Data Ross, John, 1926–

Determination of complex reaction mechanisms : analysis of chemical, biological, and genetic networks / John Ross, Igor Schreiber, Marcel O. Vlad ; with contributions from Adam Arkin, Peter J. Oefner, and Nicola Zamboni.

p. cm.

Includes bibliographical references and index. ISBN-13: 978-0-19-517868-5

ISBN 0-19-517868-8

1. Chemical kinetics.

2. Reaction mechanisms (Chemistry) 3. Chemical reaction,

Conditions and laws of. I. Schreiber, Igor. II. Vlad, Marcel O. III. Title.

QD502.5.R67 2005

 

541 .394—dc22

2005001379

9 8 7 6 5 4 3 2 1

Printed in the United States of America on acid-free paper

We dedicate this book to

our students, our coworkers, and our families

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Contents

1Introduction, 1

1.1Some Basic Definitions, 3

1.2Introduction to Classical Identification, 4

2Introduction to Chemical Kinetic Processes, 7

2.1Macroscopic, Deterministic Chemical Kinetics, 7

2.2Disordered Kinetics, 9

2.3Fluctuations, 9

3A Brief Review of Methodology for the Analysis of Biochemical Reactions and Cells, 11

3.1Introduction, 11

3.2Measurement of Metabolite Concentrations, 11

3.3Principles and Applications of Mass Spectrometry, 15

3.4Genome-Wide Analyses of mRNA and Proteins, 18

3.5Fluorescent Imaging, 23

3.6Conclusions, 27

4Computations by Means of Macroscopic Chemical Kinetics, 34

4.1 Chemical Neurons and Logic Gates, 35

viiiCONTENTS

4.2Implementation of Computers by Macroscopic Chemical Kinetics, 37

4.3Computational Functions in Biochemical Reaction Systems, 40

5Response of Systems to Pulse Perturbations, 46

5.1Theory, 46

5.2An Example: The Glycolytic Pathway, 53

6Experimental Test of the Pulse Perturbation Method for Determining Causal Connectivities of Chemical Species in a Reaction Network, 58

7Correlation Metric Construction: Theory of Statistical Construction of Reaction Mechanisms, 65

8Experimental Test and Applications of Correlation Metric Construction, 87

9Density Estimation, 97

9.1Entropy Metric Construction (EMC), 97

9.2Entropy Reduction Method (ERM), 102

10Applications of Genetic Algorithms to the Determination of Reaction Mechanisms, 104

10.1A Short Primer on Genetic Algorithms, 104

10.2Selection of Regulation of Flux in a Metabolic Model, 106

10.3Evolutionary Development of Biochemical Oscillatory Reaction Mechanisms, 112

10.4Systematic Determination of Reaction Mechanism and Rate Coefficients, 119

10.5Summary, 122

11Oscillatory Reactions, 125

11.1Introduction, 125

11.2Concepts and Theoretical Constructs, 127

11.3Experiments Leading to Information about the Oscillatory Reaction Mechanism, 138

11.4Examples of Deduction of Reaction Mechanism from Experiments, 151

11.5Limits of Stoichiometric Network Analysis, 166

CONTENTS ix

12Lifetime and Transit Time Distributions

and Response Experiments in Chemical Kinetics, 170

12.1Lifetime Distributions of Chemical Species, 171

12.2Response Experiments and Lifetime Distributions, 173

12.3Transit Time Distributions in Complex Chemical Systems, 182

12.4Transit Time Distributions, Linear Response, and

Extracting Kinetic Information from Experimental Data, 188

12.5Errors in Response Experiments, 192

12.6Response Experiments for Reaction–Diffusion Systems, 197

12.7Conclusions, 205

13Mini-Introduction to Bioinformatics, 207

13.1Clustering, 209

13.2Linearization in Various Forms, 209

13.3Modeling of Reaction Mechanisms, 210

13.4Boolean Networks, 211

13.5Correlation Metric Construction for Genetic Networks, 213

13.6Bayesian Networks, 215

13.7Some Other Illustrative Approaches, 220

Index, 223

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