Description
Springer Reaction Kinetics Exercises Programs And Theorems Mathematica For Deterministic And Stochastic Kinetics 2018 Edition by Toth J.
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._x000D_ Table of contents :- 1. IntroductionPart I The general framework2. Preparations3. Graphs of Reactions4. Mass Conversion5. Decomposition of ReactionsPart II The Continuous Time Continuos State Deterministic Model6. The Induced Kinetic Differential Equations7. Stationary Points8. Time-dependent behavior of the Concentrations9. Approximations of the ModelsPart III The Continuous Time Discrete State Stochastic Model10. Stochastic modelsPart IV Selected Addenda11. Inverse Problems12. Past, Present and Future Programs for Reaction Kinetics 13. Mathematical BaskgroundGlossarySolutionsIndex