Deterministic Kinetics in Chemistry and Systems Biology

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Publisher : Springer
ISBN 13 : 3319154826
Total Pages : 135 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Deterministic Kinetics in Chemistry and Systems Biology by : Gábor Lente

Download or read book Deterministic Kinetics in Chemistry and Systems Biology written by Gábor Lente and published by Springer. This book was released on 2015-03-09 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a concise overview of the mathematical foundations of kinetics used in chemistry and systems biology. The analytical and numerical methods used to solve complex rate equations with the widely used deterministic approach will be described, with primary focus on practical aspects important in designing experimental studies and the evaluation of data. The introduction of personal computers transformed scientific attitudes in the last two decades considerably as computational power ceased to be a limiting factor. Despite this improvement, certain time-honored approximations in solving rate equations such as the pre-equilibrium or the steady-state approach are still valid and necessary as they concern the information content of measured kinetic traces. The book shows the role of these approximations in modern kinetics and will also describe some common misconceptions in this field.

Deterministic Kinetics in Chemistry and Systems Biology

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Publisher :
ISBN 13 : 9783319154831
Total Pages : pages
Book Rating : 4.1/5 (548 download)

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Book Synopsis Deterministic Kinetics in Chemistry and Systems Biology by : Gábor Lente

Download or read book Deterministic Kinetics in Chemistry and Systems Biology written by Gábor Lente and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a concise overview of the mathematical foundations of kinetics used in chemistry and systems biology. The analytical and numerical methods used to solve complex rate equations with the widely used deterministic approach will be described, with primary focus on practical aspects important in designing experimental studies and the evaluation of data. The introduction of personal computers transformed scientific attitudes in the last two decades considerably as computational power ceased to be a limiting factor. Despite this improvement, certain time-honored approximations in solving rate equations such as the pre-equilibrium or the steady-state approach are still valid and necessary as they concern the information content of measured kinetic traces. The book shows the role of these approximations in modern kinetics and will also describe some common misconceptions in this field.

Stochastic Chemical Kinetics

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Publisher : Springer
ISBN 13 : 149390387X
Total Pages : 162 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Chemical Kinetics by : Péter Érdi

Download or read book Stochastic Chemical Kinetics written by Péter Érdi and published by Springer. This book was released on 2014-05-06 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Deterministic Versus Stochastic Modelling in Biochemistry and Systems Biology

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Author :
Publisher : Elsevier
ISBN 13 : 1908818212
Total Pages : 411 pages
Book Rating : 4.9/5 (88 download)

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Book Synopsis Deterministic Versus Stochastic Modelling in Biochemistry and Systems Biology by : Paola Lecca

Download or read book Deterministic Versus Stochastic Modelling in Biochemistry and Systems Biology written by Paola Lecca and published by Elsevier. This book was released on 2013-04-09 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic kinetic methods are currently considered to be the most realistic and elegant means of representing and simulating the dynamics of biochemical and biological networks. Deterministic versus stochastic modelling in biochemistry and systems biology introduces and critically reviews the deterministic and stochastic foundations of biochemical kinetics, covering applied stochastic process theory for application in the field of modelling and simulation of biological processes at the molecular scale. Following an overview of deterministic chemical kinetics and the stochastic approach to biochemical kinetics, the book goes onto discuss the specifics of stochastic simulation algorithms, modelling in systems biology and the structure of biochemical models. Later chapters cover reaction-diffusion systems, and provide an analysis of the Kinfer and BlenX software systems. The final chapter looks at simulation of ecodynamics and food web dynamics. Introduces mathematical concepts and formalisms of deterministic and stochastic modelling through clear and simple examples Presents recently developed discrete stochastic formalisms for modelling biological systems and processes Describes and applies stochastic simulation algorithms to implement a stochastic formulation of biochemical and biological kinetics

Enzyme Kinetics for Systems Biology

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Publisher : Future Skill Software
ISBN 13 : 0982477309
Total Pages : 320 pages
Book Rating : 4.9/5 (824 download)

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Book Synopsis Enzyme Kinetics for Systems Biology by : Ambrosius Publishing

Download or read book Enzyme Kinetics for Systems Biology written by Ambrosius Publishing and published by Future Skill Software. This book was released on 2011-03-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces fundamental concepts in kinetics that relate to system biology. The text is suitable for junior/senior undergraduates and graduates who need access to information relevant to modeling biochemical pathways.

Analysis of Kinetic Reaction Mechanisms

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Author :
Publisher : Springer
ISBN 13 : 366244562X
Total Pages : 363 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Analysis of Kinetic Reaction Mechanisms by : Tamás Turányi

Download or read book Analysis of Kinetic Reaction Mechanisms written by Tamás Turányi and published by Springer. This book was released on 2014-12-29 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical processes in many fields of science and technology, including combustion, atmospheric chemistry, environmental modelling, process engineering, and systems biology, can be described by detailed reaction mechanisms consisting of numerous reaction steps. This book describes methods for the analysis of reaction mechanisms that are applicable in all these fields. Topics addressed include: how sensitivity and uncertainty analyses allow the calculation of the overall uncertainty of simulation results and the identification of the most important input parameters, the ways in which mechanisms can be reduced without losing important kinetic and dynamic detail, and the application of reduced models for more accurate engineering optimizations. This monograph is invaluable for researchers and engineers dealing with detailed reaction mechanisms, but is also useful for graduate students of related courses in chemistry, mechanical engineering, energy and environmental science and biology.

Reaction Kinetics: Exercises, Programs and Theorems

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Author :
Publisher : Springer
ISBN 13 : 1493986430
Total Pages : 469 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Reaction Kinetics: Exercises, Programs and Theorems by : János Tóth

Download or read book Reaction Kinetics: Exercises, Programs and Theorems written by János Tóth and published by Springer. This book was released on 2018-09-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Asymmetric Autocatalysis

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Publisher : Royal Society of Chemistry
ISBN 13 : 1839166282
Total Pages : 369 pages
Book Rating : 4.8/5 (391 download)

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Book Synopsis Asymmetric Autocatalysis by : Kenso Soai

Download or read book Asymmetric Autocatalysis written by Kenso Soai and published by Royal Society of Chemistry. This book was released on 2022-10-28 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Stochastic Chemical Reaction Systems in Biology

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Author :
Publisher : Springer Nature
ISBN 13 : 3030862526
Total Pages : 364 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Stochastic Chemical Reaction Systems in Biology by : Hong Qian

Download or read book Stochastic Chemical Reaction Systems in Biology written by Hong Qian and published by Springer Nature. This book was released on 2021-10-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.

Advances in Asymmetric Autocatalysis and Related Topics

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Publisher : Academic Press
ISBN 13 : 0128128259
Total Pages : 408 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Advances in Asymmetric Autocatalysis and Related Topics by : Gyula Palyi

Download or read book Advances in Asymmetric Autocatalysis and Related Topics written by Gyula Palyi and published by Academic Press. This book was released on 2017-05-18 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advances in Asymmetric Autocatalysis and Related Topics provides various viewpoints on the important developments in asymmetric autocatalysis that have occurred in the past few years, also including brand new information in the field. Asymmetric autocatalysis is a chemical reaction which leads from achiral starting materials to chiral products, and in which the product accelerates its own formation reaction (conventional catalysis) and promotes the prevalence of its own chiral configuration (asymmetric induction). The combination of these two effects in the same reaction was unprecedented before 1995 when it was first described by Kenso SOAI at the Tokyo University of Science. Since then, several new combinations of this effect have been found, most intriguingly the possibility of absolute asymmetric synthesis, which is the spontaneous formation of the excess of one of the enantiomers of the product, a dream of organic chemists for more than a century. The book contains expert-contributed chapters that describe the most exciting recent developments in the field of the Soai reaction and in related topics, ranging from mechanistic studies and theoretical research, to very practical problems in chiral syntheses and products. Features contributions from global experts, including several chapters from Kenso Soai and expert colleagues Focuses on recent developments in the field of asymmetric autocatalysis and newly reported findings Explores the Soai reaction, new developments, and the light it sheds on homochirality in certain biomolecules

Mathematical Models of Chemical Reactions

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Publisher :
ISBN 13 : 9780691085326
Total Pages : 259 pages
Book Rating : 4.0/5 (853 download)

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Book Synopsis Mathematical Models of Chemical Reactions by : Peter Erdi

Download or read book Mathematical Models of Chemical Reactions written by Peter Erdi and published by . This book was released on 1989 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical kinetics may be considered as a prototype of nonlinear science, since the velocities of a reaction are generally nonlinear functions of the quantities of reactants. Although an actual chemical process is spatially extensive and involves very large numbers of constituent particles and a considerable number of intermediate transition compounds, the behavior--equilibria, periodicity, or chaos--may be described by the stoichiometric equations for a relatively small number of reactants. The macroscopic description of the kinetics can be deterministic, by a low-order system of nonlinear ordinary differential equations with polynomial right-hand sides, or stochastic, in terms of Markov jump processes. This volume surveys the mathematical models of chemical kinetics--their algebraic structure, mass action deterministic models, continuous time, discrete state stochastic models, and spatial effects mediated by diffusion. Further, the metalanguage of chemical kinetics is used to describe behavior in systems of interacting components, in neurochemistry, population biology, and ecology.

Dynamic Systems Biology Modeling and Simulation

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Publisher : Academic Press
ISBN 13 : 0124104932
Total Pages : 884 pages
Book Rating : 4.1/5 (241 download)

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Book Synopsis Dynamic Systems Biology Modeling and Simulation by : Joseph DiStefano III

Download or read book Dynamic Systems Biology Modeling and Simulation written by Joseph DiStefano III and published by Academic Press. This book was released on 2015-01-10 with total page 884 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic Systems Biology Modeling and Simuation consolidates and unifies classical and contemporary multiscale methodologies for mathematical modeling and computer simulation of dynamic biological systems – from molecular/cellular, organ-system, on up to population levels. The book pedagogy is developed as a well-annotated, systematic tutorial – with clearly spelled-out and unified nomenclature – derived from the author’s own modeling efforts, publications and teaching over half a century. Ambiguities in some concepts and tools are clarified and others are rendered more accessible and practical. The latter include novel qualitative theory and methodologies for recognizing dynamical signatures in data using structural (multicompartmental and network) models and graph theory; and analyzing structural and measurement (data) models for quantification feasibility. The level is basic-to-intermediate, with much emphasis on biomodeling from real biodata, for use in real applications. Introductory coverage of core mathematical concepts such as linear and nonlinear differential and difference equations, Laplace transforms, linear algebra, probability, statistics and stochastics topics; PLUS ....... The pertinent biology, biochemistry, biophysics or pharmacology for modeling are provided, to support understanding the amalgam of “math modeling” with life sciences. Strong emphasis on quantifying as well as building and analyzing biomodels: includes methodology and computational tools for parameter identifiability and sensitivity analysis; parameter estimation from real data; model distinguishability and simplification; and practical bioexperiment design and optimization. Companion website provides solutions and program code for examples and exercises using Matlab, Simulink, VisSim, SimBiology, SAAMII, AMIGO, Copasi and SBML-coded models. A full set of PowerPoint slides are available from the author for teaching from his textbook. He uses them to teach a 10 week quarter upper division course at UCLA, which meets twice a week, so there are 20 lectures. They can easily be augmented or stretched for a 15 week semester course. Importantly, the slides are editable, so they can be readily adapted to a lecturer’s personal style and course content needs. The lectures are based on excerpts from 12 of the first 13 chapters of DSBMS. They are designed to highlight the key course material, as a study guide and structure for students following the full text content. The complete PowerPoint slide package (~25 MB) can be obtained by instructors (or prospective instructors) by emailing the author directly, at: [email protected]

PHYSICAL CHEMISTRY 2016

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Publisher : Institut za nuklearne nauke VINČA
ISBN 13 : 8682475340
Total Pages : 511 pages
Book Rating : 4.6/5 (824 download)

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Book Synopsis PHYSICAL CHEMISTRY 2016 by : Željko Čupić

Download or read book PHYSICAL CHEMISTRY 2016 written by Željko Čupić and published by Institut za nuklearne nauke VINČA. This book was released on 2016-09-26 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Dynamics in Computational Biology

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Author :
Publisher : Springer Nature
ISBN 13 : 3030623874
Total Pages : 284 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Stochastic Dynamics in Computational Biology by : Stefanie Winkelmann

Download or read book Stochastic Dynamics in Computational Biology written by Stefanie Winkelmann and published by Springer Nature. This book was released on 2021-01-04 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems.

Reaction Kinetics

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Publisher :
ISBN 13 : 9781493986422
Total Pages : 469 pages
Book Rating : 4.9/5 (864 download)

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Book Synopsis Reaction Kinetics by : János Tóth

Download or read book Reaction Kinetics written by János Tóth and published by . This book was released on 2018 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics

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Author :
Publisher : Springer
ISBN 13 : 3319066897
Total Pages : 126 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics by : Moisés Santillán

Download or read book Chemical Kinetics, Stochastic Processes, and Irreversible Thermodynamics written by Moisés Santillán and published by Springer. This book was released on 2014-06-27 with total page 126 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors. The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.

Molecular Kinetics in Condensed Phases

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Author :
Publisher : John Wiley & Sons
ISBN 13 : 1119176778
Total Pages : 289 pages
Book Rating : 4.1/5 (191 download)

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Book Synopsis Molecular Kinetics in Condensed Phases by : Ron Elber

Download or read book Molecular Kinetics in Condensed Phases written by Ron Elber and published by John Wiley & Sons. This book was released on 2020-02-10 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to the theoretical and computational toolkits for the modern study of molecular kinetics in condensed phases Molecular Kinetics in Condensed Phases: Theory, Simulation and Analysis puts the focus on the theory, algorithms, simulations methods and analysis of molecular kinetics in condensed phases. The authors – noted experts on the topic – offer a detailed and thorough description of modern theories and simulation methods to model molecular events. They highlight the rigorous stochastic modelling of molecular processes and the use of mathematical models to reproduce experimental observations, such as rate coefficients, mean first passage times and transition path times. The book’s exploration of simulations examines atomically detailed modelling of molecules in action and the connections of these simulations to theory and experiment. The authors also explore the applications that range from simple intuitive examples of one- and two-dimensional systems to complex solvated macromolecules. This important book: Offers an introduction to the topic that combines theory, simulation and analysis Presents a guide written by authors that are well-known and highly regarded leaders in their fields Contains detailed examples and explanation of how to conduct computer simulations of kinetics. A detailed study of a two-dimensional system and of a solvated peptide are discussed. Discusses modern developments in the field and explains their connection to the more traditional concepts in chemical dynamics Written for students and academic researchers in the fields of chemical kinetics, chemistry, computational statistical mechanics, biophysics and computational biology, Molecular Kinetics in Condensed Phases is the authoritative guide to the theoretical and computational toolkits for the study of molecular kinetics in condensed phases.