F. Xavier Malcata

Analysis of Enzyme Reaction Kinetics (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Comprehensively introduces readers to modelling of rate of enzymatic reactions, including effects of physicochemical parameters Analysis of Enzyme Reaction Kinetics is the second set in a unique eleven-volume collection on Enzyme Reactor Engineering. It describes rate expressions pertaining to enzymatic reactions, including modulation by physicochemical factors, as well as tools for prediction and control of how fast substrates are transformed to products. Volume 1 details rate expressions mathematically derived from mechanistic postulates, and is complemented by appropriate statistical approaches to fit them to experimental data. Volume 2 discusses the effects of physical and chemical parameters upon the rates of both enzyme-catalyzed and enzyme-deactivation reactions. Starting with basic concepts and historical perspectives, the first volume introduces readers to the mathematics of rate expressions. It then goes on to cover kinetic features and the many forms of Michaelis & Menten's-type rate expressions (single and multiple enzymes, autocatalysis, single and multiple substrates, multiphasic systems, etc.), and concludes with the statistical analysis of rate expressions - including the assessment of data, fitting of models to data, and generation of data themselves. The second volume introduces readers to physicochemical modulation of reaction rate - starting with basic concepts, and looking specifically at temperature-, mechanical force-, pH- and compound-driven effects: both unimodal and bimodal deactivation are considered. Analysis of Enzyme Reaction Kinetics 2V Set is a comprehensive work for those studying or working with enzyme reactions, or practitioners involved in the control of reactors. SERIES INFORMATION Enzyme Reactor Engineering is organized into four major sets: Enzyme Reaction Kinetics and Reactor Performance; Analysis of Enzyme Reaction Kinetics; Analysis of Enzyme Reactor Performance; and Mathematics for Enzyme Reaction Kinetics and Reaction Performance.

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Produktdetails

• Verlag: John Wiley & Sons
• Seitenzahl: 1440
• Erscheinungstermin: 26. Juli 2023
• Englisch
• ISBN-13: 9781119490098
• Artikelnr.: 68517478

Autorenporträt

F. Xavier Malcata, PhD, is Full Professor at the Department of Chemical Engineering at the University of Porto in Portugal, and Researcher at LEPABE - Laboratory for Process Engineering, Environment, Biotechnology and Energy. He is the author of more than 400 highly cited journal papers, eleven books, four edited books, and fifty chapters in edited books. He has been awarded the Elmer Marth Educator Award by the International Association of Food Protection (USA) and the William V. Cruess Award for excellence in teaching by the Institute of Food Technologists (USA).

Inhaltsangabe

About the Author

Series Preface

Preface

Volume One

7. Mathematical Approach to Rate Expressions 2

7.1. Introduction 3

7.1.1. Basic concepts 3

7.1.2. Chemical mechanism and rate expression 4

7.1.3. Historical perspective 7

7.1.4. Further refinements 10

7.1.5. Multisubstrate approaches 12

7.1.6. Objective 15

7.1.7. Strategy 16

7.2. Rate expression 17

7.2.1. Kinetic features 17

7.2.2. Order of reaction 31

7.3. Michaelis & Menten's rate expression with single enzyme 36

7.3.1. Michaelis & Menten's rationale 37

7.3.2. Graphical interpretation 41

7.3.3. Semilogarithmic plot 47

7.3.4. Eisenthal, Cornish & Bowden's plot 50

7.3.5. Dixon's plot 54

7.3.6. Concentration of enzyme forms 57

7.3.7. Best reparameterization 60

7.3.8. van Slyke & Cullen's rationale 62

7.3.9. Briggs & Haldane's rationale 64

7.3.10. Absolute sensitivity to lumped parameters 70

7.3.11. Relative error of alternative derivations 74

7.3.12. Relative sensitivity to intrinsic parameters 77

7.3.13. Biochemical rationale 82

7.3.14. Derivatives of rate expression 92

7.4. Michaelis & Menten's rate expression with multiple enzymes 94

7.4.1. Several isozymes 95

7.4.2. Two isozymes 100

7.4.3. Infinite isozymes 117

7.5. Michaelis & Menten's rate expression with autocatalysis 94

7.6. Michaelis & Menten's rate expression with multiphasic systems 137

7.7. Improved rate expression with single enzyme 151

7.7.1. Morrison's rationale 152

7.7.2. Graphical interpretation 155

7.7.3. Low enzyme concentration 168

7.7.4. Best reparameterization 172

7.7.5. Kim's rationale 175

7.7.6. Graphical interpretation 180

7.7.7. Specific kinetic features 200

7.7.8. Absolute sensitivity to intrinsic parameters 224

7.7.9. Improved simulation of initial transients 228

7.7.9.1. Batch stirred system 230

7.7.9.2. Flow stirred system 250

7.7.10. Improved simulation of final transients 285

7.8. Alternative forms of Michaelis & Menten's rate expression 314

7.8.1. Integrated form 315

7.8.1.1. Lambert's function 319

7.8.1.2. Taylor's expansion 324

7.8.2. Linearized form 337

7.8.2.1. Differential expression 339

7.8.2.2. Integrated expression 350

7.9. Rate expressions for multisubstrate reactions 361

7.9.1. Shortcut approaches to pseudo steady state 362

7.9.1.1. King & Altman's method 362

7.9.1.2. Cleland's nomenclature 385

7.9.1.3. Supplementary simplifications 396

7.9.2. Uni Uni mechanism 410

7.9.2.1. Pseudo steady state 411

7.9.2.1.1. Classical approach 411

7.9.2.1.2. King & Altman's approach 419

7.9.2.2. Rapid equilibrium 427

7.9.2.2.1. Classical approach 427

7.9.2.2.2. King & Altman's approach with Cha's aproximation 431

7.9.3. Ordered Bi Uni mechanism 439

7.9.3.1. Pseudo steady state 441

7.9.3.2. Rapid equilibrium 452

7.9.4. Other Uni/Bi and Bi/Bi mechanisms 462

7.9.5. Simplification of multisubstrate rate expressions 476

7.9.5.1. Uni Uni mechanism 483

7.9.5.2. Ordered Bi Uni mechanism 490

7.10. Further reading 497

8. Statistical Approach to Rate Expressions 1

8.1. Introduction 2

8.1.1. Basic concepts