Mathematical Theory of Sedimentation Analysis
Mathematical Theory of Sedimentation Analysis

Author: Hiroshi Fujita

Publisher: Elsevier

Published: 2016-06-03

Total Pages: 328

ISBN-13: 1483274357

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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.

Mathematical Theory of Sedimentation Analysis
Mathematical Theory of Sedimentation Analysis

Author: Hiroshi Fujita

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 328

ISBN-13: 1483194841

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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.

Sedimentation and Thickening
Sedimentation and Thickening

Author: E.M. Tory

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 297

ISBN-13: 9401593272

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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.

Ultracentrifugation of Macromolecules
Ultracentrifugation of Macromolecules

Author: J. W. Williams

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 137

ISBN-13: 1483220621

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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.

Cartilage Molecular Aspects
Cartilage Molecular Aspects

Author: Brian K. Hall

Publisher: CRC Press

Published: 1991-06-18

Total Pages: 280

ISBN-13: 9780849388170

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Cartilage plays diverse roles as a definitive supporting tissue in some organs, the basis of low friction surfaces in joints, and a transient morphogenetic template during embryogenesis and repair of the skeleton. The versatility of cartilage is derived from the remarkable material properties of its extracellular matrix, the wide spectrum of regulatory systems that influence the synthesis and degradation of the unique molecular constituents of this matrix, and the development and growth of the cells that produce it. This book touches on each of these areas and provides the first comprehensive reviews of the molecular biology of the genes specifying the collagenous and noncollagenous proteins of the cartilage matrix, as well as the biophysical-chemical properties of the matrix that suits it to the various functions it performs. Up-to-date critical reviews of the mineralization and degradation of cartilage matrix, the roles of polypeptide growth and inducing factors, of ions, in the regulation of cartilage growth and development, and the unique requirements of the energy metabolism of cartilage as a nonvascular tissue, make this volume a useful source for concepts and results for the multiple disciplines that play a part in modern cartilage research.

Physical Principles and Techniques of Protein Chemistry Part B
Physical Principles and Techniques of Protein Chemistry Part B

Author: Sydney Leach

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 508

ISBN-13: 0323141137

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Physical Principles and Techniques of Protein Chemistry, Part B deals with the theories and application of selected physical methods in protein chemistry evaluation. This book is divided into seven chapters that cover the ultracentrifugal analysis, light scattering, infrared (IR) methods, nuclear magnetic resonance (NMR) spectroscopy, and differential thermal analysis of protein properties. This text first describes the fundamental ideas and methodology of sedimentation analysis of ideal noninteracting solutes and the problems of nonideality and solute-solute interaction. This book then deals with the problems involved in the interpretation of viscometric data for evaluation of intrinsic viscosity of proteins. The following chapters examine the principles, measurement and analysis of spectra, and experimental techniques of light scattering, IR, and NMR spectroscopic methods. Discussions on coordination phenomena, identification of binding sites, and ion binding in the crystalline state and in protein solutions are included. The concluding chapter presents some examples of protein analysis using differential thermal analysis technique. This book is of great value to chemists, biologists, and researchers who have great appreciation of protein chemistry.

Physical Chemical Techniques
Physical Chemical Techniques

Author: Dan H. Moore

Publisher: Academic Press

Published: 2013-10-22

Total Pages: 405

ISBN-13: 1483194892

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Physical Techniques in Biological Research, Volume II, Part A: Physical Chemical Techniques focuses on physical chemical techniques that have been most widely used in the study of molecules of biological significance. This book outlines the theoretical basis of the methods, describes the apparatus and manipulations used, and describes the applications of the techniques by examples. Organized into seven chapters, this volume begins with an overview of the basic property that makes the use of isotopes as tracers possible. This text then explains the predicted behavior during separations of chemically reacting systems by digital computer techniques. Other chapters consider the mutual diffusion in a binary system of components A and B. This book discusses as well the migration of charged particles or molecules in a liquid medium under the influence of an applied electric field. The final chapter deals with the basic units of electric potential differences. This book is a valuable resource for biological chemists.