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.

This volume reviews the theory and simulation methods of stochastic kinetics by integrating historical and recent perspectives, presents applications, mostly in the context of systems biology and also in combustion theory. In recent years, due to the development in experimental techniques, such as optical imaging, single cell analysis, and fluorescence spectroscopy, biochemical kinetic data inside single living cells have increasingly been available. The emergence of systems biology brought renaissance in the application of stochastic kinetic methods.

Asymmetric autocatalysis is a reaction in which chiral compound acts as a chiral catalyst for its own production. The process is a catalytic automultiplication of the chiral compound leading to an end product with a high enantiomeric excess. It has advantages over non-autocatalytic reactions because the amount of catalyst increases and no loss or deterioration of the catalyst is observed. Additionally, because the catalyst and product have the same structure, the separation of product from the catalyst is not necessary. Asymmetric Autocatalysis provides a comprehensive introduction to the topic of autocatalysis and an in-depth review of the current state of the research. Edited by a team including Professor Kenso Soai, who first described these types of reaction, and written by experts from around the world this book is a great resource for anyone with an interest in organic synthesis, catalysis and chirality.

Modeling of Mass Transport Processes in Biological Media focuses on applications of mass transfer relevant to biomedical processes and technology—fields that require quantitative mechanistic descriptions of the delivery of molecules and drugs. This book features recent advances and developments in biomedical therapies with a focus on the associated theoretical and mathematical techniques necessary to predict mass transfer in biological systems. The book is authored by over 50 established researchers who are internationally recognized as leaders in their fields. Each chapter contains a comprehensive introductory section for those new to the field, followed by recent modeling developments motivated by empirical experimental observation. Offering a unique opportunity for the reader to access recent developments from technical, theoretical, and engineering perspectives, this book is ideal for graduate and postdoctoral researchers in academia as well as experienced researchers in biomedical industries. Offers updated information related to advanced techniques and fundamental knowledge, particularly advances in computer-based diagnostics and treatment and numerical simulations Provides a bridge between well-established theories and the latest developments in the field Coverage includes dialysis, inert solute transport (insulin), electrokinetic transport, cellular molecular uptake, transdermal drug delivery and respiratory therapies

This second, extended and updated edition presents the current state of kinetics of chemical reactions, combining basic knowledge with results recently obtained at the frontier of science. Special attention is paid to the problem of the chemical reaction complexity with theoretical and methodological concepts illustrated throughout by numerous examples taken from heterogeneous catalysis combustion and enzyme processes. Of great interest to graduate students in both chemistry and chemical engineering.

A general chemical kinetics program is described for complex, homogeneous ideal-gas reactions in any chemical system. Its main features are flexibility and convenience in treating many different reaction conditions. The program solves numerically the differential equations describing complex reaction in either a static system or one-dimensional inviscid flow. Applications include ignition and combustion, shock wave reactions, and general reactions in a flowing or static system. An implicit numerical solution method is used which works efficiently for the extreme conditions of a very slow or a very fast reaction. The theory is described, and the computer program and users' manual are included.