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Reaction Kinetics: Exercises, Programs and Theorems

Mathematica for Deterministic and Stochastic Kinetics

  • János Tóth
  • Attila László Nagy
  • Dávid Papp

Table of contents

  1. Front Matter
    Pages i-xxiv
  2. János Tóth, Attila László Nagy, Dávid Papp
    Pages 1-2
  3. Part I

    1. Front Matter
      Pages 3-3
    2. János Tóth, Attila László Nagy, Dávid Papp
      Pages 5-17
    3. János Tóth, Attila László Nagy, Dávid Papp
      Pages 19-37
    4. János Tóth, Attila László Nagy, Dávid Papp
      Pages 39-53
    5. János Tóth, Attila László Nagy, Dávid Papp
      Pages 55-73
  4. Part II

    1. Front Matter
      Pages 75-75
    2. János Tóth, Attila László Nagy, Dávid Papp
      Pages 77-114
    3. János Tóth, Attila László Nagy, Dávid Papp
      Pages 115-147
    4. János Tóth, Attila László Nagy, Dávid Papp
      Pages 149-216
    5. János Tóth, Attila László Nagy, Dávid Papp
      Pages 217-256
  5. Part III

    1. Front Matter
      Pages 257-257
    2. János Tóth, Attila László Nagy, Dávid Papp
      Pages 259-321
  6. Part IV

    1. Front Matter
      Pages 323-323
    2. János Tóth, Attila László Nagy, Dávid Papp
      Pages 325-344
    3. János Tóth, Attila László Nagy, Dávid Papp
      Pages 345-357
    4. János Tóth, Attila László Nagy, Dávid Papp
      Pages 359-379
    5. János Tóth, Attila László Nagy, Dávid Papp
      Pages 381-456
  7. Back Matter
    Pages 457-469

About this book

Introduction

Fifty years ago, a new approach to reaction kinetics began to emerge: one based on mathematical models of reaction kinetics, or formal reaction kinetics. Since then, there has been a rapid and accelerated development in both deterministic and stochastic kinetics, primarily because mathematicians studying differential equations and algebraic geometry have taken an interest in the nonlinear differential equations of kinetics, which are relatively simple, yet capable of depicting complex behavior such as oscillation, chaos, and pattern formation.
The development of stochastic models was triggered by the fact that novel methods made it possible to measure molecules individually. Now it is high time to make the results of the last half-century available to a larger audience: students of chemistry, chemical engineering and biochemistry, not to mention applied mathematics. Based on recent papers, this book presents the most important concepts and results, together with a wealth of solved exercises. The book is accompanied by the authors’ Mathematica package, ReactionKinetics, which helps both students and scholars in their everyday work, and which can be downloaded from http://extras.springer.com/ and also from the authors’ websites. Further, the large set of unsolved problems provided may serve as a springboard for individual research.

Keywords

Reaction Kinetics Chemical kinetics Chemical Reaction Kinetics Mathematical Modeling Chemical kinetics models Reaction kinetics mathematica Deterministic chemical kinetics Stochastic chemical kinetics Chemical Reaction Network Theory Formal reaction kinetics Deterministic models of chemical reactions Stochastic models of chemical reactions Graphs of reactions Kinetic differential equation Reaction Kinetics Programs Reaction Kinetics Theorems Reaction kinetics Exercises Chemical kinetics textbook

Authors and affiliations

  • János Tóth
    • 1
  • Attila László Nagy
    • 2
  • Dávid Papp
    • 3
  1. 1.Chemical Kinetics LaboratoryEötvös Loránd UniversityBudapestHungary
  2. 2.Department of StochasticsBudapest University of Technology and EconomicsBudapestHungary
  3. 3.Department of MathematicsNorth Carolina State UniversityRaleighUSA

Bibliographic information