ENGLISH

Reaction Kinetics: Exercises, Programs and Theorems: Mathematica for Deterministic and Stochastic Kinetics

By János Tóth , Attila László Nagy , Dávid Papp

Book information

Publisher
Springer New York
Year
2018
ISBN
978-1-4939-8641-5;978-1-4939-8643-9
Language
english
Format
PDF
Filesize
8 MB (8506049 bytes)
Edition
1st ed.
Pages
XXIV, 469\476
Time added
2019-01-12 07:29:10
Chemistry; Math. Applications in Chemistry; Mathem

Description

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. Front Matter ....Pages i-xxiv Introduction (János Tóth, Attila László Nagy, Dávid Papp)....Pages 1-2 Front Matter ....Pages 3-3 Preparations (János Tóth, Attila László Nagy, Dávid Papp)....Pages 5-17 Graphs of Reactions (János Tóth, Attila László Nagy, Dávid Papp)....Pages 19-37 Mass Conservation (János Tóth, Attila László Nagy, Dávid Papp)....Pages 39-53 Decomposition of Reactions (János Tóth, Attila László Nagy, Dávid Papp)....Pages 55-73 Front Matter ....Pages 75-75 The Induced Kinetic Differential Equation (János Tóth, Attila László Nagy, Dávid Papp)....Pages 77-114 Stationary Points (János Tóth, Attila László Nagy, Dávid Papp)....Pages 115-147 Time-Dependent Behavior of the Concentrations (János Tóth, Attila László Nagy, Dávid Papp)....Pages 149-216 Approximations of the Models (János Tóth, Attila László Nagy, Dávid Papp)....Pages 217-256 Front Matter ....Pages 257-257 Stochastic Models (János Tóth, Attila László Nagy, Dávid Papp)....Pages 259-321 Front Matter ....Pages 323-323 Inverse Problems (János Tóth, Attila László Nagy, Dávid Papp)....Pages 325-344 Past, Present, and Future Programs for Reaction Kinetics (János Tóth, Attila László Nagy, Dávid Papp)....Pages 345-357 Mathematical Background (János Tóth, Attila László Nagy, Dávid Papp)....Pages 359-379 Solutions (János Tóth, Attila László Nagy, Dávid Papp)....Pages 381-456 Back Matter ....Pages 457-469

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