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Enzymes: A Practical Introduction to Structure, Mechanism, and Data Analysis.

Robert A. Copeland Copyright 2000 by Wiley-VCH, Inc.

ISBNs: 0-471-35929-7 (Hardback); 0-471-22063-9 (Electronic)

ENZYMES

SECOND EDITION

ENZYMES

A Practical Introduction to Structure, Mechanism, and Data Analysis

SECOND EDITION

Robert A. Copeland

A JOHN WILEY & SONS, INC., PUBLICATION

New York / Chichester / Weinheim / Brisbane / Singapore / Toronto

Designations used by companies to distinguish their products are often claimed as trademarks. In all instances where John Wiley & Sons, Inc., is aware of a claim, the product names appear in initial capital or . Readers, however, should contact the appropriate companies for more complete information regarding trademarks and registration.

Copyright 2000 by Wiley-VCH, Inc. 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 or mechanical, including uploading, downloading, printing, decompiling, recording or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without the prior written permission of the Publisher. Requests

to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012, (212) 850-6011, fax (212) 850-6008, E-Mail: PERMREQ WILEY.COM.

This publication is designed to provide accurate and authoritative information in regard to the subject matter covered. It is sold with the understanding that the publisher is not engaged in rendering professional services. If professional advice or other expert assistance is required, the services of a competent professional person should be sought.

ISBN 0-471-22063-9

This title is also available in print as ISBN 0-471-35929-7.

For more information about Wiley products, visit our web site at www.Wiley.com.

To Clyde Worthen

for teaching me all the important lessons: arigato sensei.

And to Theodore (Doc) Janner for stoking the fire.

CONTENTS

Preface

xi

Acknowledgments

xiii

Preface to the First Edition

xv

1 A Brief History of Enzymology

1

1.1Enzymes in Antiquity / 2

1.2Early Enzymology / 3

1.3The Development of Mechanistic Enzymology / 4

1.4Studies of Enzyme Structure / 5

1.5Enzymology Today / 7

1.6Summary / 8

References and Further Reading / 10

2 Chemical Bonds and Reactions in Biochemistry

11

2.1Atomic and Molecular Orbitals / 11

2.2Thermodynamics of Chemical Reactions / 23

2.3AcidBase Chemistry / 29

2.4Noncovalent Interactions in Reversible Binding / 32

2.5Rates of Chemical Reactions / 35

2.6Summary / 41

References and Further Reading / 41

3 Structural Components of Enzymes

42

3.1The Amino Acids / 42

3.2The Peptide Bond / 53

3.3Amino Acid Sequence or Primary Structure / 55

3.4Secondary Structure / 57

3.5Tertiary Structure / 62

vii

viiiCONTENTS

3.6Subunits and Quaternary Structure / 65

3.7Cofactors in Enzymes / 68

3.8Summary / 71

References and Further Reading / 74

4 Protein‒Ligand Binding Equilibria

76

4.1The Equilibrium Dissociation Constant, K / 76

4.2The Kinetic Approach to Equilibrium / 78

4.3Binding Measurements at Equilibrium / 80

4.4Graphic Analysis of Equilibrium Ligand Binding Data / 88

4.5Equilibrium Binding with Ligand Depletion (Tight Binding Interactions) / 94

4.6Competition Among Ligands for a Common Binding Site / 95

4.7Experimental Methods for Measuring Ligand Binding / 96

4.8Summary / 107

References and Further Reading / 108

5 Kinetics of Single-Substrate Enzyme Reactions

109

5.1The Time Course of Enzymatic Reactions / 109

5.2Effects of Substrate Concentration on Velocity / 111

5.3The Rapid Equilibrium Model of Enzyme Kinetics / 113

5.4The Steady State Model of Enzyme Kinetics / 115

5.5The Significance of k and K / 120

5.6Experimental Measurement of k and K / 124

5.7Other Linear Transformations of Enzyme Kinetic Data / 133

5.8Measurements at Low Substrate Concentrations / 136

5.9Deviations from Hyperbolic Kinetics / 137

5.10Transient State Kinetic Measurements / 141

5.11Summary / 145

References and Further Reading / 145

6 Chemical Mechanisms in Enzyme Catalysis

146

6.1SubstrateActive Site Complementarity / 147

6.2Rate Enhancement Through Transition State Stabilization / 151

6.3Chemical Mechanisms for Transition State Stabilization / 154

6.4The Serine Proteases: An Illustrative Example / 178

6.5Enzymatic Reaction Nomenclature / 184

CONTENTS ix

6.6 Summary / 186

References and Further Reading / 186

7 Experimental Measures of Enzyme Activity

188

7.1Initial Velocity Measurements / 188

7.2Detection Methods / 204

7.3Separation Methods in Enzyme Assays / 223

7.4Factors Affecting the Velocity of Enzymatic Reactions / 238

7.5Reporting Enzyme Activity Data / 257

7.6Enzyme Stability / 258

7.7Summary / 263

References and Further Reading / 263

8 Reversible Inhibitors

266

8.1Equilibrium Treatment of Reversible Inhibition / 268

8.2Modes of Reversible Inhibition / 270

8.3Graphic Determination of Inhibitor Type / 273

8.4DoseResponse Curves of Enzyme Inhibition / 282

8.5Mutually Exclusive Binding of Two Inhibitors / 287

8.6StructureActivity Relationships and Inhibitor Design / 291

8.6 Summary / 303

References and Further Reading / 303

9 Tight Binding Inhibitors

305

9.1Identifying Tight Binding Inhibition / 305

9.2Distinguishing Inhibitor Type for Tight Binding Inhibitors / 307

9.3Determining K for Tight Binding Inhibitors / 310

9.4Use of Tight Binding Inhibitors to Determine Active Enzyme Concentration / 313

9.5Summary / 315

References and Further Reading / 316

10 Time-Dependent Inhibition

318

10.1Progress Curves for Slow Binding Inhibitors / 321

10.2Distinguishing Between Slow Binding Schemes / 325

10.3Distinguishing Between Modes of Inhibitor Interaction with Enzyme / 330

xCONTENTS

10.4Determining Reversibility / 332

10.5Examples of Slow Binding Enzyme Inhibitors / 334

10.6Summary / 348

References and Further Reading / 349

11 Enzyme Reactions with Multiple Substrates

350

11.1Reaction Nomenclature / 350

11.2Bi Bi Reaction Mechanisms / 352

11.3Distinguishing Between Random and Compulsory Ordered Mechanisms by Inhibition Pattern / 357

11.4Isotope Exchange Studies for Distinguishing Reaction Mechanisms / 360

11.5Using the KingAltman Method to Determine Velocity Equations / 362

11.6Summary / 364

References and Further Reading / 366

12 Cooperativity in Enzyme Catalysis

367

12.1Historic Examples of Cooperativity and Allostery in Proteins / 368

12.2Models of Allosteric Behavior / 373

12.3Effects of Cooperativity on Velocity Curves / 379

12.4Sigmoidal Kinetics for Nonallosteric Enzymes / 382

12.5Summary / 383

References and Further Reading / 384

Appendix I. Suppliers of Reagents and Equipment for

 

Enzyme Studies

385

Appendix II. Useful Computer Software and Web Sites

 

for Enzyme Studies

387

Index

391

PREFACE

In the four years since the first edition of Enzymes was published, I have been delighted to learn of the wide acceptance of the book throughout the biochemical community, and particularly in the pharmaceutical community. During this time a number of colleagues have contacted me to express their views on the value of the text, and importantly to make suggestions for improvements to the content and presentation of some concepts. I have used the first edition as a teaching supplement for a course in which I lecture at the University of Pennsylvania School of Medicine. From my lecture experiences and from conversations with students, I have developed some new ideas for how to better explain some of the concepts in the text and have identified areas that deserve expanded coverage. Finally, while the first edition has become popular with students and industrial scientists, some of my academic colleagues have suggested a need for a more in-depth treatment of chemical mechanisms in enzymology.

In this second edition I have refined and expanded the coverage of many of the concepts in the text. To help the reader better understand some of the interactions between enzymes and their substrates and inhibitors, a new chapter on proteinligand binding equilibria has been added (Chapter 4). The chapters on chemical mechanisms in enzyme catalysis (Chapter 6) and on experimental measures of enzyme activity (Chapter 7) have been expanded significantly. The discussions of enzyme inhibitors and multiple substrate reactions (Chapters 8 through 11) have been refined, and in some cases alternative treatments have been presented. In all of this, however, I have tried to maintain the introductory nature of the book. There are many excellent advanced texts on catalysis, enzyme mechanisms, and enzyme kinetics, but the level at which these are generally written is often intimidating to the beginner. Hence, as stated in the preface to the first edition, this book is intended to serve as a mechanism for those new to the field of enzymology to develop a reasonable understanding of the science and experimental methods, allowing them to competently begin laboratory studies with enzymes. I have continued to rely on extensive citations to more advanced texts and primary literature as a means for the interested reader to go beyond the treatments offered here and delve more deeply into specific areas of enzymology.

xi

xii PREFACE

In developing this second edition I have had fruitful conversations and advice from a number of colleagues. In particular, I wish to thank Andy Stern, Ross Stein, Trevor Penning, Bill Pitts, John Blanchard, Dennis Murphy, and the members of the Chemical Enzymology Department at the DuPont Pharmaceuticals Company. As always, the love and support of my family has been most important in making this work possible.

R A. C

Wilmington, Delaware