Reaction Kinetics: Exercises, Programs and Theorems

Reaction Kinetics: Exercises, Programs and Theorems

Author: János Tóth

Publisher: Springer

Published: 2018-09-18

Total Pages: 476

ISBN-13: 1493986430

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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.


Stochastic Chemical Kinetics

Stochastic Chemical Kinetics

Author: Péter Érdi

Publisher: Springer

Published: 2014-05-06

Total Pages: 174

ISBN-13: 149390387X

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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

Asymmetric Autocatalysis

Author: Kenso Soai

Publisher: Royal Society of Chemistry

Published: 2022-10-28

Total Pages: 369

ISBN-13: 1839162619

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Asymmetric Autocatalysis provides a comprehensive introduction to the topic of autocatalysis and an in-depth review of the current state of the research.


Modeling of Mass Transport Processes in Biological Media

Modeling of Mass Transport Processes in Biological Media

Author: Sid M. Becker

Publisher: Academic Press

Published: 2022-08-24

Total Pages: 618

ISBN-13: 0323857418

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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


Chemical Kinetics with Mathcad and Maple

Chemical Kinetics with Mathcad and Maple

Author: Viktor Korobov

Publisher: Springer Science & Business Media

Published: 2011-05-26

Total Pages: 353

ISBN-13: 3709105315

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The authors explain at length the principles of chemical kinetics and approaches to computerized calculations in modern software suites — mathcad and maple. Mathematics is crucial in determining correlations in chemical processes and requires various numerical approaches. Often significant issues with mathematical formalizations of chemical problems arise and many kinetic problems can ́t be solved without computers. Numerous problems encountered in solving kinetics ́ calculations with detailed descriptions of the numerical tools are given. Special attention is given to electrochemical reactions, which fills a gap in existing texts not covering this topic in detail. The material demonstrates how these suites provide quick and precise behavior predictions for a system over time (for postulated mechanisms).Examples, i.e., oscillating and non-isothermal reactions, help explain the use of mathcad more efficiently. Also included are the results of authors’ own research toward effective computations.


Reaction Kinetics

Reaction Kinetics

Author: Ernő Keszei

Publisher: Springer Nature

Published: 2021-05-12

Total Pages: 188

ISBN-13: 3030685748

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This book covers all basic topics of reaction kinetics, thus students do not need to refer to other resources to prepare for an undergraduate exam. It leads the reader into the topic starting from molecular level concepts and working towards the more macroscopic descriptions of kinetics, introducing the subject according to the state-of-the-art 21st century chemistry. A thorough treatment of formal kinetics of both elementary and complex reactions is based on actual practice, omitting many obsolete treatments of the subject. Mathematical operations are explained in enough detail so that even students that are less trained in calculus can easily follow and understand. Data treatment and statistical inference include modern - mostly numerical - methods widely used in applications. Experimental methods are described using basic technical details, however as techniques quickly change sophisticated devices are not the focus of this book. The emphasis lies on providing the basic concepts which are important for students to understand. This book is suitable as essential reading for courses in bachelor and master chemistry programs and is also valuable as a reference or textbook for students of physics, biochemistry and environmental science.


Kinetics of Chemical Reactions

Kinetics of Chemical Reactions

Author: Guy B. Marin

Publisher: John Wiley & Sons

Published: 2019-04-29

Total Pages: 462

ISBN-13: 3527342958

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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.


Mathematics for Enzyme Reaction Kinetics and Reactor Performance, 2 Volume Set

Mathematics for Enzyme Reaction Kinetics and Reactor Performance, 2 Volume Set

Author: F. Xavier Malcata

Publisher: Wiley

Published: 2020-06-15

Total Pages: 0

ISBN-13: 9781119490289

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Mathematics for Enzyme Reaction Kinetics and Reactor Performance is the first set in a unique 11 volume-collection on Enzyme Reactor Engineering. This two volume-set relates specifically to the wide mathematical background required for systematic and rational simulation of both reaction kinetics and reactor performance; and to fully understand and capitalize on the modelling concepts developed. It accordingly reviews basic and useful concepts of Algebra (first volume), and Calculus and Statistics (second volume). A brief overview of such native algebraic entities as scalars, vectors, matrices and determinants constitutes the starting point of the first volume; the major features of germane functions are then addressed. Vector operations ensue, followed by calculation of determinants. Finally, exact methods for solution of selected algebraic equations – including sets of linear equations, are considered, as well as numerical methods for utilization at large. The second volume begins with an introduction to basic concepts in calculus, i.e. limits, derivatives, integrals and differential equations; limits, along with continuity, are further expanded afterwards, covering uni- and multivariate cases, as well as classical theorems. After recovering the concept of differential and applying it to generate (regular and partial) derivatives, the most important rules of differentiation of functions, in explicit, implicit and parametric form, are retrieved – together with the nuclear theorems supporting simpler manipulation thereof. The book then tackles strategies to optimize uni- and multivariate functions, before addressing integrals in both indefinite and definite forms. Next, the book touches on the methods of solution of differential equations for practical applications, followed by analytical geometry and vector calculus. Brief coverage of statistics–including continuous probability functions, statistical descriptors and statistical hypothesis testing, brings the second volume to a close.


Chemical Kinetics

Chemical Kinetics

Author: Kenneth Antonio Connors

Publisher: Wiley-VCH

Published: 1990

Total Pages: 480

ISBN-13: 9781560810063

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Chemical Kinetics The Study of Reaction Rates in Solution Kenneth A. Connors This chemical kinetics book blends physical theory, phenomenology and empiricism to provide a guide to the experimental practice and interpretation of reaction kinetics in solution. It is suitable for courses in chemical kinetics at the graduate and advanced undergraduate levels. This book will appeal to students in physical organic chemistry, physical inorganic chemistry, biophysical chemistry, biochemistry, pharmaceutical chemistry and water chemistry-all fields concerned with the rates of chemical reactions in the solution phase.