Download or read book Mathematical Theory of Sedimentation Analysis written by Hiroshi Fujita and published by Elsevier. This book was released on 2016-06-03 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Theory of Sedimentation Analysis deals with ultracentrifugal analysis. The book reviews flow equations for the ultracentrifuge, for two component systems, for multicomponent systems, and in chemically reacting systems. It explains the Svedberg equation and its extensions, and also the tests of the Onsager reciprocal relation. By employing a system consisting of two strong electrolytes and a solvent, the book illustrates that the sedimentation processes can be treated in terms of thermodynamics of irreversible processes. It also explains sedimentation-diffusion equilibrium and an approach to sedimentation equilibrium. It reviews the prediction of the time required to reach equilibrium, the estimates being made by Weaver (1926), and by Mason and Weaver (1924). The book employs sedimentation in a sector-shaped cell in a centrifugal field, of which the solutions of Mason and Weaver closely approximate the actual concentration distribution in the ultra-centrifuge cell. Other accurate solutions are by Fujita, Nazarian (1958), Yphantis, and Waugh. The book will prove valuable for mathematicians, physical chemists, biophysical chemists students, or professor of advanced mathematics.
Download or read book Mathematical Theory of Sedimentation Analysis written by Hiroshi Fujita and published by Academic Press. This book was released on 2013-10-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Theory of Sedimentation Analysis presents the flow equations for the ultracentrifuge. This book is organized into two parts encompassing six chapters that evaluate the systems of reacting components, the differential equations for the ultracentrifuge, and the case of negligible diffusion. The first chapters consider the Archibald method for molecular weight determination; pressure-dependent sedimentation; expressions for the refractive index and its gradient; relation between refractive index and concentration; and the analysis of Gaussian distribution. Other chapters deal with the basic equations for three-component systems, the extension of the Archibald method to multicomponent systems, and the case of independent sedimentation and diffusion. These topics are followed by a presentation of the extrapolation procedures due to Oth and Desreux. The last chapters are devoted to the examination of the Johnston-Ogston effect and sedimentation with a differential boundary. The book can provide useful information to chemists, physicists, students, and researchers.
Download or read book Sedimentation and Thickening written by E.M. Tory and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present a rigorous phenomenological and mathematical formulation of sedimentation processes and to show how this theory can be applied to the design and control of continuous thickeners. The book is directed to stu dents and researchers in applied mathematics and engineering sciences, especially in metallurgical, chemical, mechanical and civil engineering, and to practicing en gineers in the process industries. Such a vast and diverse audience should read this book differently. For this reason we have organized the chapters in such a way that the book can be read in two ways. Engineers and engineering students will find a rigorous formulation of the mathematical model of sedimentation and the exact and approximate solutions for the most important problems encountered in the laboratory and in industry in Chapters 1 to 3, 7 and 8, and 10 to 12, which form a self-contained subject. They can skip Chapters 4 to 6 and 9, which are most important to applied mathematicians, without losing the main features of sedimentation processes. On the other hand, applied mathematicians will find special interest in Chapters 4 to 6 and 9 which show some known but many recent results in the field of conservation laws of quasilinear hyperbolic and degenerate parabolic equations of great interest today. These two approaches to the theory keep their own styles: the mathematical approach with theorems and proofs, and the phenomenological approach with its deductive technique.
Download or read book Analytical Ultracentrifugation written by Stephen E Harding and published by Royal Society of Chemistry. This book was released on 2007-12-16 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical ultracentrifugation has become an increasingly important technique for monitoring the size and shape of biological macromolecules. Analytical Ultracentrifugation: Techniques and Methods contains contributions from experts in the field, bringing together the multitude of developments that have taken place in instrumentation and analysis over the past decade into a single volume. This book covers the latest methods in analysis along with an extensive introduction for the novice user. Analysis methods in both sedimentation velocity and sedimentation equilibrium are discussed at length. Protein, protein/DNA, membrane proteins and polymer systems are also explored, along with software developments and non-ideality.
Download or read book Sedimentation Velocity Analytical Ultracentrifugation written by Peter Schuck and published by CRC Press. This book was released on 2016-11-17 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: A follow-up to the experimental and instrumental aspects described in Basic Principles of Analytical Ultracentrifugation, the volume Sedimentation Velocity Analytical Ultracentrifugation: Discrete Species and Size-Distributions of Macromolecules and Particles describes the theory and practice of data analysis. Mathematical models for the sedimentation process and the evolution of detected signals are developed in a comprehensive framework, jointly with the description of current and historical strategies for how to extract from noisy experimental data the physical parameters of interest, such as size, mass, and shape, composition, and polydispersity of sedimenting particles. The methods are extensively illustrated, and supported with practical applications, as well as cross-references where to find the methods in the public domain software SEDFIT and SEDPHAT. The systems covered are discrete or polydisperse mixtures of sedimenting molecules or particles in dilute solution, such as proteins and other biomolecules and their stable complexes, man-made polymers, and nanoparticles, observed in different optical systems. A useful reference for researchers and graduate students of macromolecular disciplines, these methods form the essential foundation for the analysis of dynamic interacting systems, which are covered in the volume Sedimentation Velocity Analytical Ultracentrifugation: Interacting Systems. Software referenced in the book is available for download at: https://sedfitsedphat.nibib.nih.gov/default.aspx
Download or read book Analytical Ultracentrifugation written by and published by Academic Press. This book was released on 2015-09-24 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytical Ultracentrifugation, the latest volume in Methods in Enzymology, focuses on analytical ultracentrifugation. The scope of this technique has greatly expanded in recent years due to advances in instrumentation, algorithms and software. This volume describes the latest innovations in the field and in the applications of analytical ultracentrifugation in the analysis of macromolecules, macromolecular assemblies, and biopharmaceuticals. Timely contribution that describes a rapidly changing field Leading researchers in the field Broad coverage: instrumentation, basic theory, data analysis, and applications
Download or read book Sedimentation Equilibrium Analytical Ultracentrifugation written by Peter Schuck and published by CRC Press. This book was released on 2019-08-26 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: A follow-up to the experimental and instrumental aspects described in Basic Principles of Analytical Ultracentrifugation, the volume Sedimentation Velocity Analytical Ultracentrifugation: Discrete Species and Size-Distributions of Macromolecules and Particles describes the theory and practice of data analysis. Mathematical models for the sedimentation process and the evolution of detected signals are developed in a comprehensive framework, jointly with the description of current and historical strategies for how to extract from noisy experimental data the physical parameters of interest, such as size, mass, and shape, composition, and polydispersity of sedimenting particles. The methods are extensively illustrated, and supported with practical applications, as well as cross-references where to find the methods in the public domain software SEDFIT and SEDPHAT. The systems covered are discrete or polydisperse mixtures of sedimenting molecules or particles in dilute solution, such as proteins and other biomolecules and their stable complexes, man-made polymers, and nanoparticles, observed in different optical systems. These methods form the essential foundation for the analysis of dynamic interacting systems, which are covered in a separate volume.
Download or read book Polymer Fractionation written by Manfred J. R. Cantow and published by Elsevier. This book was released on 2013-10-22 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Polymer Fractionation focuses on the processes, reactions, and transformations involved in polymer fractionation, including chromatography, titration, and sedimentation. The selection first offers information on theoretical considerations and fractional precipitation. Topics include polydispersity of high polymers, phase relations for polydisperse systems, fractionation theory and efficiency, and fractionation by solvent evaporation. The manuscript then takes a look at fractional solution, chromatographic fractionation, and gel permeation chromatography. The book elaborates on thermal diffusion and turbidimetric titration, as well as methods of fractionation, studies of the variables, outline of the method and range of application, and elaboration of the method. The text then ponders on sedimentation, isothermal diffusion, and summative fractionation. Discussions focus on mathematical interpretation of summative data, experimental methods for the determination of diffusion constants, and methods for the determination of the diffusion coefficient distribution. The selection is a valuable source of information for readers interested in polymer fractionation.
Download or read book Centrifugation in Density Gradients written by C. A. Price and published by Academic Press. This book was released on 2014-06-28 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: Centrifugation in Density Gradients provides information pertinent to the fundamental aspects of density gradient centrifugation. This book discusses the benefits of density gradient centrifugation to membrane-bound particles. Organized into nine chapters, this book begins with an overview of the method of differential or fractional centrifugation. This text then explores the physical basis of density gradient centrifugation. Other chapters deal with the nuts and bolts of density gradient centrifugation, the construction and composition of gradients, the properties and operation of centrifuge systems, and certain arcane but highly useful procedures. This book discusses as well density gradient centrifugation in the analytical ultracentrifuge. The final chapter deals with a collection of protocols for separating particles ranging in size from whole cells to macromolecules. This book is intended to be suitable for readers who need to separate biological particles. Biologists, chemists, biochemists, cytologists, physiologists, scientists, and research workers will also find this book useful.
Download or read book Ultracentrifugation of Macromolecules written by J. W. Williams and published by Elsevier. This book was released on 2013-10-22 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ultracentrifugation of Macromolecules: Modern Topics covers the theoretical description of the problem of sedimentation equilibrium of polydisperse nonideal solutions. The book discusses the sedimentation equilibrium in polydisperse nonideal solutions and the size distribution analysis by ultracentrifugal methods. The text also describes the simultaneous sedimentation and equilibrium in beta-lactoglobulin B, chymotrypsinogen A, and lysozyme solutions; as well as the sedimentation analysis of a multiple myeloma ?G-globulin. People involved in physical biochemistry will find the book invaluable.
Download or read book Processing by Centrifugation written by Liya L. Regel and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the Fourth International Workshop on Materials Processing at High Gravity, held at Clarkson University, May 29 to June 2, 2000. There were 73 attendees from 16 countries. Since the topics extended well beyond materials processing, it was felt appropriate to name this proceedings "Centrifugal Processing." Processing by Centrifugation includes the traditional bench-scale centrifuges, as well as all rotating systems utilizing the centrifugal and Coriolis forces to provide unique performance. Centrifugation led to the formation of sticky porous Teflon membranes, as well as improved polymeric solar cells. Centrifugation on large equipment improved the chemical vapor deposition of diamond films, influenced the growth and dissolution of semiconductor crystals, and elucidated the influence of gravity on coagulation of colloidal Teflon. A million g centrifuge was constructed and used to study sedimentation in solids and to prepare compositionally graded materials and new phases. Rotation of a pipe about its axis allowed the casting of large-diameter metal alloy pipes as well as coating the interior of pipes with a cermet utilizing self-propagating high-temperature synthesis. Such coatings are highly corrosion and erosion resistant. Flow on a rotating disk was shown to be useful for process intensification, such as large-scale manufacturing of nano-particles, polymerization reactions, and heat & mass transfer. Several theoretical studies dealt with the influence of rotation on fluid convection on surfaces and in pipes, tubes, and porous media. These have applications to integrated-circuit chip manufacturing, alloy casting, oil production, crystal growth, and the operation of rotating machinery.
Download or read book Modern Analytical Ultracentrifugation written by Todd M. Schuster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are numerous examples in the history of science when the parallel develop ments of two or more disciplines, methodologies, technologies or theoretical in sights have converged to produce significant scientific advances. The decades following the 1950s have produced several such significant advances, as a result of a convergence of developments in molecular biology and in solid state-based electronics instrumentation. Since one of these areas of significant advancement, analytical ultracentrifu gation, has been undergoing a renaissance, we thought it would be a useful activity to call upon a group of researchers who have been developing either the experi mental or theoretical aspects of the methodology and gather in one place a group of articles summarizing the current status of the field. The success of recombinant DNA methodologies at producing biologically active macromolecules of commer cial interest has evoked interests in mechanisms of function. Pursuit of the related questions has emphasized the importance of studies of macromolecular binding and interaction. Several contributions to this volume remind us that analytical ultra centrifugation is rigorously based on solid thermodynamic theory and, as such, is fully capable of providing comprehensive quantitative descriptions of molecular interactions in solution. Furthermore, a number of the chapters provide examples, along with innovative methods for carrying out these characterizations. The past decade has seen several developments that reflect the rebirth of interest in analytical ultracentrifugation.
Download or read book CRC Handbook of Viruses written by Horace M. Mazzone and published by CRC Press. This book was released on 1998-05-13 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a distinct class of macromolecules, viruses are continually being studied in order to determine their properties. Following a knowledge of host-range infectivity, the particle mass-molecular weight of the virus and related properties - including size, shape, sedimentation, and diffusion coefficients - are also important characterizations. In the literature, these values have been determined for many viruses, and a variety of techniques are available by which such properties may be analyzed. Until now, there has been no single source for such information that the interested investigator may consult, and no databases provided this kind of information. CRC Handbook of Viruses: Mass-Molecular Weight Values and Related Properties corrects this deficiency by presenting such data for all classes of viruses; centering on viruses, their molecular weight, and their related properties; and acquainting the investigator to many methods for obtaining the mass-molecular weight value of viruses. This singular study explains the variety of methods available to the researcher as well as provides examples of each method. Molecular weight values are accessed directly from the book, saving the investigator a tedious search through the range of literature. Chapters discuss: Viruses as infectious agents and their role in establishing the relatively new discipline of molecular biology Essential components of viruses, protein, and nucleic acid - considering their discovery, nature, structural organization, and the forming of viruses from nucleoproteins Basic aspects of virus purification, preparative centrifuge, and various purification methods Basic aspects of crystallography, including procedures, x-ray analysis of the viral protein component, the arranging of subunits, and the composition of the intact virus Sedimentation experiments and studies used to obtain molecular weight Sedimentation and diffusion coefficients integral to the basic Svedberg equation Sedimentation equilibrium procedures The new Beckman Optima series of analytical ultracentrifuges Scattering studies, including small angle x-ray, small angle neutron, classical light scattering, and electron microscopy The renaissance of instrumentation in classical light scattering techniques Cold neutron facilities currently being set into operation by government laboratories Sizing and solvation of viruses in solution - their "natural environment" Critical modeling experiments Facilities and instrumentation for molecular weight studies - including the high voltage transmission electron microscope for obtaining mass values of viral inclusion bodies CRC Handbook of Viruses serves the: Researcher seeking values of virus molecular weight and related parameters Investigator getting started in virology and seeking information on physical chemical procedures Student interested in viruses as infectious agents
Download or read book Analytical Ultracentrifugation written by Susumu Uchiyama and published by Springer. This book was released on 2016-05-13 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces analytical ultracentrifugation (AUC) as a whole, covering essential theoretical and practical aspects as well as its applications in both biological and non-biological systems. Comprehensive characterizations of macromolecules in a solution are now routinely required not only for understanding the solution system but also for producing a solution with better properties. Analytical ultracentrifugation is one of most powerful and reliable techniques for studying the biophysical behavior of solutes in solution. In the last few years, there have been steady advances made in hardware, software, and applications for AUC. This book provides chapters that cover everything essential for beginners to the most advanced users and also offer updated knowledge of the field on advances in hardware, software, and applications. Recent development of hardware described in this book covers new detection systems that give added dimensions to AUC. Examples of data analysis with essential theoretical explanations for advanced and recently updated software are also introduced. Besides AUC of biological systems including membrane proteins and biopharmaceuticals, AUC applications for non-biological questions are included. AUC studies under non-ideal conditions such as highly concentrated solutions and solutions with high salt concentration are also included. The contributors to this book are leading researchers in the fields of solution biophysics and physical chemistry who extensively employ AUC analysis for their research. From this published work, one can gain new and comprehensive knowledge of recent AUC analysis.
Download or read book The Limits of Resolution written by Geoffrey de Villiers and published by CRC Press. This book was released on 2016-10-03 with total page 529 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This beautiful book can be read as a novel presenting carefully our quest to get more and more information from our observations and measurements. Its authors are particularly good at relating it." --Pierre C. Sabatier "This is a unique text - a labor of love pulling together for the first time the remarkably large array of mathematical and statistical techniques used for analysis of resolution in many systems of importance today – optical, acoustical, radar, etc.... I believe it will find widespread use and value." --Dr. Robert G.W. Brown, Chief Executive Officer, American Institute of Physics "The mix of physics and mathematics is a unique feature of this book which can be basic not only for PhD students but also for researchers in the area of computational imaging." --Mario Bertero, Professor, University of Geneva "a tour-de-force covering aspects of history, mathematical theory and practical applications. The authors provide a penetrating insight into the often confused topic of resolution and in doing offer a unifying approach to the subject that is applicable not only to traditional optical systems but also modern day, computer-based systems such as radar and RF communications." --Prof. Ian Proudler, Loughborough University "a ‘must have’ for anyone interested in imaging and the spatial resolution of images. This book provides detailed and very readable account of resolution in imaging and organizes the recent history of the subject in excellent fashion.... I strongly recommend it." --Michael A.? Fiddy, Professor, University of North Carolina at Charlotte This book brings together the concept of resolution, which limits what we can determine about our physical world, with the theory of linear inverse problems, emphasizing practical applications. The book focuses on methods for solving illposed problems that do not have unique stable solutions. After introducing basic concepts, the contents address problems with "continuous" data in detail before turning to cases of discrete data sets. As one of the unifying principles of the text, the authors explain how non-uniqueness is a feature of measurement problems in science where precision and resolution is essentially always limited by some kind of noise.
Download or read book Modern Methods of Polymer Characterization written by Howard G. Barth and published by John Wiley & Sons. This book was released on 1991-09-03 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the methods used for characterization of polymers. In addition to theory and basic principles, the instrumentation and apparatus necessary for methods used to study the kinetic and thermodynamic interactions of a polymer with its environment are covered in detail. Some of the methods examined include polymer separations and characterization by size exclusion and high performance chromatography, inverse gas chromatography, osmometry, viscometry, ultracentrifugation, light scattering and spectroscopy.
Download or read book First Order Partial Differential Equations Vol 1 written by Hyun-Ku Rhee and published by Courier Corporation. This book was released on 2014-05-05 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first volume of a highly regarded two-volume text is fully usable on its own. After going over some of the preliminaries, the authors discuss mathematical models that yield first-order partial differential equations; motivations, classifications, and some methods of solution; linear and semilinear equations; chromatographic equations with finite rate expressions; homogeneous and nonhomogeneous quasilinear equations; formation and propagation of shocks; conservation equations, weak solutions, and shock layers; nonlinear equations; and variational problems. Exercises appear at the end of most sections. This volume is geared to advanced undergraduates or first-year grad students with a sound understanding of calculus and elementary ordinary differential equations. 1986 edition. 189 black-and-white illustrations. Author and subject indices.
