Modeling and Computational Methods for Kinetic Equations

Modeling and Computational Methods for Kinetic Equations

Author: Pierre Degond

Publisher: Springer Science & Business Media

Published: 2004-04-07

Total Pages: 372

ISBN-13: 9780817632540

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In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. New applications in traffic flow engineering, granular media modeling, and polymer and phase transition physics have resulted in new numerical algorithms which depart from traditional stochastic Monte--Carlo methods. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused theoretical or applied works. The book is divided into two parts. Part I is devoted to the most fundamental kinetic model: the Boltzmann equation of rarefied gas dynamics. Additionally, widely used numerical methods for the discretization of the Boltzmann equation are reviewed: the Monte--Carlo method, spectral methods, and finite-difference methods. Part II considers specific applications: plasma kinetic modeling using the Landau--Fokker--Planck equations, traffic flow modeling, granular media modeling, quantum kinetic modeling, and coagulation-fragmentation problems. Modeling and Computational Methods of Kinetic Equations will be accessible to readers working in different communities where kinetic theory is important: graduate students, researchers and practitioners in mathematical physics, applied mathematics, and various branches of engineering. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.


Applications of Kinetic Modelling

Applications of Kinetic Modelling

Author: G. Hancock

Publisher: Elsevier

Published: 1999-05-07

Total Pages: 737

ISBN-13: 0080527345

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Volume 37 is concerned with the use and role of modelling in chemical kinetics and seeks to show the interplay of theory or simulation with experiment in a diversity of physico-chemical areas in which kinetics measurements provide significant physical insight. Areas of application covered within the volume include electro- and interfacial chemistry, physiology, biochemistry, solid state chemistry and chemical engineering. A leading contributor to this general area has been Professor W. John Albery, FRS, to whom the contributors and editors dedicate this book.


Kinetic Modelling in Systems Biology

Kinetic Modelling in Systems Biology

Author: Oleg Demin

Publisher: CRC Press

Published: 2008-10-24

Total Pages: 360

ISBN-13: 1420011669

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With more and more interest in how components of biological systems interact, it is important to understand the various aspects of systems biology. Kinetic Modelling in Systems Biology focuses on one of the main pillars in the future development of systems biology. It explores both the methods and applications of kinetic modeling in this emerging f


Kinetic Analysis of Food Systems

Kinetic Analysis of Food Systems

Author: Alejandro G. Marangoni

Publisher: Springer

Published: 2017-02-15

Total Pages: 179

ISBN-13: 3319512927

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This text provides a comprehensive and thorough overview of kinetic modelling in food systems, which will allow researchers to further their knowledge on the chemistry and practical use of modelling techniques. The main emphasis is on performing kinetic analyses and creating models, employing a hands-on approach focused on putting the content discussed to direct use. The book lays out the requisite basic information and data surrounding kinetic modelling, presents examples of applications to different problems and provides exercises that can be solved utilizing the data provided. Kinetic Analysis of Food Systems pursues a practical approach to kinetic analysis, providing helpful exercises involving chlorophyll degradation in processed vegetables, metabolic oscillations and sugar accumulation in cold-stored potatoes, transesterification of oils to manufacture biodiesel, aggregation of whey proteins to make protein gels and crystallization of fat stabilizers used in nut butters, among others. The book lays out the basics of kinetic modelling and develops several new models for the study of these complex systems. Taken together with the accompanying exercises, they offer a full portrait of kinetic analysis, from its basic scientific groundwork to its application.


Kinetic Modeling of Reactions In Foods

Kinetic Modeling of Reactions In Foods

Author: Martinus A.J.S. van Boekel

Publisher: CRC Press

Published: 2008-12-18

Total Pages: 788

ISBN-13: 1420017411

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The level of quality that food maintains as it travels down the production-to-consumption path is largely determined by the chemical, biochemical, physical, and microbiological changes that take place during its processing and storage. Authored by an internationally respected food quality expert, Kinetic Modeling of Reactions in Foods demonstrates


Metabolic Engineering

Metabolic Engineering

Author: Sang Yup Lee

Publisher: John Wiley & Sons

Published: 2021-06-02

Total Pages: 1075

ISBN-13: 352782345X

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Learn more about foundational and advanced topics in metabolic engineering in this comprehensive resource edited by leaders in the field Metabolic Engineering: Concepts and Applications delivers a one-stop resource for readers seeking a complete description of the concepts, models, and applications of metabolic engineering. This guide offers practical insights into the metabolic engineering of major cell lines, including E. Coli, Bacillus and Yarrowia Lipolytica, and organisms, including human, animal, and plant). The distinguished editors also offer readers resources on microbiome engineering and the use of metabolic engineering in bioremediation. Written in two parts, Metabolic Engineering begins with the essential models and strategies of the field, like Flux Balance Analysis, Quantitative Flux Analysis, and Proteome Constrained Models. It also provides an overview of topics like Pathway Design, Metabolomics, and Genome Editing of Bacteria and Eukarya. The second part contains insightful descriptions of the practical applications of metabolic engineering, including specific examples that shed light on the topics within. In addition to subjects like the metabolic engineering of animals, humans, and plants, you’ll learn more about: Metabolic engineering concepts and a historical perspective on their development The different modes of analysis, including flux balance analysis and quantitative flux analysis An illuminating and complete discussion of the thermodynamics of metabolic pathways The Genome architecture of E. coli, as well as genome editing of both bacteria and eukarya An in-depth treatment of the application of metabolic engineering techniques to organisms including corynebacterial, bacillus, and pseudomonas, and more Perfect for students of biotechnology, bioengineers, and biotechnologists, Metabolic Engineering: Concepts and Applications also has a place on the bookshelves of research institutes, biotechnological institutes and industry labs, and university libraries. It's comprehensive treatment of all relevant metabolic engineering concepts, models, and applications will be of use to practicing biotechnologists and bioengineers who wish to solidify their understanding of the field.


Modeling and Computational Methods for Kinetic Equations

Modeling and Computational Methods for Kinetic Equations

Author: Pierre Degond

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 360

ISBN-13: 0817682007

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In recent years kinetic theory has developed in many areas of the physical sciences and engineering, and has extended the borders of its traditional fields of application. This monograph is a self-contained presentation of such recently developed aspects of kinetic theory, as well as a comprehensive account of the fundamentals of the theory. Emphasizing modeling techniques and numerical methods, the book provides a unified treatment of kinetic equations not found in more focused works. Specific applications presented include plasma kinetic models, traffic flow models, granular media models, and coagulation-fragmentation problems. The work may be used for self-study, as a reference text, or in graduate-level courses in kinetic theory and its applications.


Reduced Kinetic Mechanisms for Applications in Combustion Systems

Reduced Kinetic Mechanisms for Applications in Combustion Systems

Author: Norbert Peters

Publisher: Springer Science & Business Media

Published: 2008-09-11

Total Pages: 364

ISBN-13: 3540475435

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In general, combustion is a spatially three-dimensional, highly complex physi co-chemical process oftransient nature. Models are therefore needed that sim to such a degree that it becomes amenable plify a given combustion problem to theoretical or numerical analysis but that are not so restrictive as to distort the underlying physics or chemistry. In particular, in view of worldwide efforts to conserve energy and to control pollutant formation, models of combustion chemistry are needed that are sufficiently accurate to allow confident predic tions of flame structures. Reduced kinetic mechanisms, which are the topic of the present book, represent such combustion-chemistry models. Historically combustion chemistry was first described as a global one-step reaction in which fuel and oxidizer react to form a single product. Even when detailed mechanisms ofelementary reactions became available, empirical one step kinetic approximations were needed in order to make problems amenable to theoretical analysis. This situation began to change inthe early 1970s when computing facilities became more powerful and more widely available, thereby facilitating numerical analysis of relatively simple combustion problems, typi cally steady one-dimensional flames, with moderately detailed mechanisms of elementary reactions. However, even on the fastest and most powerful com puters available today, numerical simulations of, say, laminar, steady, three dimensional reacting flows with reasonably detailed and hence realistic ki netic mechanisms of elementary reactions are not possible.