The Matching Method for Asymptotic Solutions in Chemical Physics Problems by A. M. Il'in, L. A. Kalyakin, and S. I. Maslennikov
Singularly Perturbed Problems with Boundary and Interior Layers: Theory and Application by V. F. Butuzov and A. B. Vasilieva
Numerical Methods for Singularly Perturbed Boundary Value Problems Modeling Diffusion Processes by V. L. Kolmogorov and G. I. Shishkin
An important addition to the Advances in Chemical Physics series, this volume makes available for the first time in English the work of leading Russian researchers in singular perturbation theory and its application. Since boundary layers were first introduced by Prandtl early in this century, rapid advances have been made in the analytic and numerical investigation of these phenomena, and nowhere have these advances been more notable than in the Russian school of singular perturbation theory. The three chapters in this volume treat various aspects of singular perturbations and their numerical solution, and represent some of the best work done in this area:
* The first chapter, "The Matching Method for Asymptotic Solutions in Chemical Physics Problems," is concerned with the analysis of some singular perturbation problems that arise in chemical kinetics. In this chapter the matching method is applied to find asymptotic solutions to some dynamical systems of ordinary differential equations whose solutions have multiscale time dependence.
* The second chapter, "Singularly Perturbed Problems with Boundary and Interior Layers: Theory and Application," offers a comprehensive overview of the theory and application of asymptotic approximations for many different kinds of problems in chemical physics governed by either ordinary or partial differential equations with boundary and interior layers.
* The third chapter, "Numerical Methods for Singularly Perturbed Boundary Value Problems Modeling Diffusion Processes," discusses the numerical difficulties that arise in solving the problems described in the first two chapters, and proposes rigorous criteria for determining whether or not a numerical method is satisfactory for such problems. Methods satisfying these criteria are then constructed and applied to obtain numerical solutions to a range of sample problems.

Timely, authoritative, and invaluable to researchers in all areas of chemical physics, Singular Perturbation Problems in Chemical Physics is an essential resource.

Protein glycosylation is now acknowledged as a major posttranslational modification with significant effects on protein folding, conformation distri- bution, stability, and activity. The added oligosaccharide chains are large and diverse and have specific recognition motifs important in many aspects of cell interactions and regulation. As such, there is a growing need to communicate the analytical methods of the specialist carbohydrate chemist, biochemist, and physicochemist to protein experts and the pharmaceutical industry. Other areas that come under the influence of the glycosciences are DNA interactions with ubiquitous saccharide-containing antibiotics and antitumor drugs; inhibitors of viral infection; bacterial, mycobacterial, and parasite antigens; glycolipids; glycophosphatidylinositol protein membrane anchors; and (glyco)protein- proteoglycan interactions. Compared to the first edition of this book, Glycopro- tein Analysis in Biomedicine, less emphasis is given to biomedical aspects, but these chapters are still pertinent today. The significant differences in the con- tent relate to advances in analysis relevant to biotechnology; for example, the production of recombinant glycoproteins and other therapeutics. It must also not be forgotten that the methods here described in Glycoanalysis Protocols are relevant to exploiting the commercial potential of carbohydrates in fields related to agriculture, food, and the domestic and chemical industries. The emphasis of the book remains in bringing the glycosciences into mainstream biochemistry. The analytical methods covered in Glycoanalysis Protocols are the re- sult of experts translating their life's works into easy-to-follow recipes.

Advances in Physical Organic Chemistry series is the definitive resource for authoritative reviews of work in physical organic chemistry. It aims to provide a valuable source of information not only for physical organic chemists applying their expertise to both novel and traditional problems, but also for non-specialists across diverse areas who identify a physical organic component in their approach to research. Its hallmark is a quantitative, molecular level understanding of phenomena across a diverse range of disciplines.

This book provides an interdisciplinary presentation of the current knowledge of pattern formation in complex system, with sufficiently many details, tools, and concrete examples to be useful for the graduate student or scientist entering this area of research.

This book presents an up to date review of many aspects of Interfacial Electrochemistry and points direction of future developments. Traditional routes for the study of the electrochemical interface are reviewed, critically discussed and the available experimental data is analysed. Complementary information is presented as obtained from the sucessful application of the various in-situ reflectance spectroscopies. The use of single crystal face electrodes to study the electrochemical interface is emphasized with particular relevan- ce to the technique to prepare clean surfaces. Some relevant re- sults obtained for single crystal face electrodes are presented. This book presents also the techniques to study other interfaces such-as the ionic-solution, immiscible liquid-liquid and gas-so- lid interfaces. The information gained 'is put in parallel to the solid-electrolyte solution interface. More specific aspects of the electrochemical interface are covered with chapters on phase-transitions occuring on 2D ad- sorbed layers and on electrochemical kinetics where the dependen- ce of the electrochemical rate parameters upon the solvent struc- ture and electrode material is emphasized. The final chapters reviews of the present state of solvent models interfaces and the recently developed theories of the eleGBP trochemical interfaces in which an association is made of models for the metal with the models for the electrolyte solution. This book is a result of a NATO A. S. 1. on "Trends in Interfacial Electrochemistry", held in Viana do Castelo from 2 to 13th July 1984 which brought together experts of the above men- tioned aspects of Interfacial Electrochemistry.

David I.A. Millar's thesis explores the effects of extreme conditions on energetic materials. His study identifies and structurally characterises new polymorphs obtained at high pressures and/or temperatures. The performance of energetic materials (pyrotechnics, propellants and explosives) can depend on a number of factors including sensitivity to detonation, detonation velocity, and chemical and thermal stability. Polymorphism and solid-state phase transitions may therefore have significant consequences for the performance and safety of energetic materials. In order to model the behaviour of these important materials effectively under operational conditions it is essential to obtain detailed structural information at a range of temperatures and pressures.

Volume 16 marks the beginning of a special topic series devoted to modern techniques in protein NMR, under the Biological Magnetic Resonance series. This volume is being followed by Volume 17 with the subtitle Structure Computation and Dynamics in Protein NMR. Volumes 16 and 17 present some of the recent, significant advances in biomolecular NMR field with emphasis on developments during the last five years. We are honored to have brought together in these volumes some of the world's foremost experts who have provided broad leadership in advancing this field. Volume 16 contains advances in two broad categories: the first, Large Proteins, Complexes, and Membrane Proteins, and second, Pulse Methods. Volume 17, which will follow covers major advances in Computational Methods, and Structure and Dynamics. In the opening chapter of Volume 16, Marius Clore and Angela Gronenborn give a brief review of NMR strategies including the use of long range restraints in the structure determination of large proteins and protein complexes. In the next two chapters, Lewis Kay and Ron Venters and their collaborators describe state-of-t- art advances in the study of perdeuterated large proteins. They are followed by Stanley Opella and co-workers who present recent developments in the study of membrane proteins. (A related topic dealing with magnetic field induced residual dipolar couplings in proteins will appear in the section on Structure and Dynamics in Volume 17).

Imposingly thick text derived from a one-semester course intended to acquaint advanced undergraduate (and beginning graduate) students with the concepts and methods of linear mathematics. Though physics is referred to in the title, the book is in almost every organizational and notational respect

Extracellular MRI and X-ray contrast agents are characterized by their phar- cokinetic behaviour.After intravascular injection their plasma-level time curve is characeterized by two phases. The agents are rapidly distributed between plasma and interstitial spaces followed by renal elimination with a terminal half-live of approximatly 1-2 hours. They are excreted via the kidneys in unchanged form by glomerular filtration. Extracellular water-soluble contrast agents to be applied for X-ray imaging were introduced into clinical practice in 1923. Since that time they have proved to be most valuable tools in diagnostics.They contain iodine as the element of choice with a sufficiently high atomic weight difference to organic tissue. As positive contrast agents their attenuation of radiation is higher compared with the attenuation of the surrounding tissue. By this contrast enhancement X-ray diagnostics could be improved dramatically. In 2,4,6-triiodobenzoic acid derivatives iodine is firmly bound. Nowadays diamides of the 2,4,6-triiodo-5-acylamino-isophthalic acid like iopromide (Ultravist, Fig. 1) are used as non-ionic (neutral) X-ray contrast agents in most cases [1].

This book tackles the problematic relationship between Platonic philosophy and Romantic poetry, between the intellect and the emotions. Drawing on contemporary critical theory, especially hermeneutics and deconstruction, the author shows that a dialogue between thinking and poetizing is possible. The volume yields many new insights into both Platonic and Romantic texts and forms an important work for scholars and students of Greek philosophy, Romantic literature and critical theory.

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 cant 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.

The study of surfaces has experienced dramatic growth over the past decade. Now, the editors of the internationally celebrated series Advances in Chemical Physics have brought together in this self-contained, special topic volume contributions from leading researchers in the field treating some of the most crucial aspects of the experimental and theoretical study of surfaces. This work delves into such core issues as:

• Kinetics and dynamics of hydrogen adsorption on silicon surfaces.
• Potential energy surfaces of transition- metal-catalyzed chemical reactions.
• High-resolution helium atom scattering as a proof of surface vibrations.
• Ordering and phase transitions in adsorbed monolayers of diatomic molecules.
• The influence of dimensionality on static and dynamic properties of a system.
• New applications to fields as varied as catalysts and the passage of molecules through membranes.

This valuable resource provides important insights into the current state of knowledge about surface properties. Prigogine and Rice's latest work will stimulate the imagination and motivate the exploration of other aspects of this fascinating subject.

Oxidative catalysis by metalloporphyrin systems occupies a prominent role in the current research in the fields of chemical and biological catalysis. Our particular interest and approach has been to collect in the same volume papers dealing with both the chemical and biological aspects of the reactivity of heme systems because of the realization that a better understanding of the complementary discipline can be extremely useful for the researchers from either field. The current progress of the research on synthetic metalloporphyrin catalysts has led to the development of several systems that are able to reproduce the heme-enzyme mediated oxygenation and oxidation reactions, at least in terms of reaction types, mechanisms and often rates. These achievements have stimulated the of creating metalloporphyrin catalysts which are both ambitious project efficient and stable enough to become competitive for large-scale industrial processes. Although this project is still far from being realized, the efforts in this direction parallel those aimed at the application of heme enzymes to chemical technologies, e. g. for the mild, selective oxidation of organics or the detoxification of pollutants. Both the two approaches will be advantageous because while the enzyme systems can achieve selectivities which are probably unattainable by synthetic catalysts, the latter can be active under experimental conditions that would readily inactivate the enzymes.

NMR of Ordered Liquids gives a unique overview of the scope and limitations of the NMR of oriented liquids, based on contributions from acknowledged experts in the field. The book consists of four sections:

-detailed general introduction which covers the basic principles and sophisticated experimental techniques;
-wide variety of applications ranging from NMR studies of small atoms and molecules in anisotropic liquids to the utilization of residual dipolar couplings for structure determination of biological molecules;
-summary of the sophisticated theoretical treatments, computer simulations, and phenomenological models for anisotropic intermolecular interactions that are widely used in the analysis of experimental results;
-overview of the dynamical aspects and relaxation processes relevant for orientationally ordered molecules.

The field of quantum and molecular simulations has experienced strong growth since the time of the early software packages. A recent study, showed a large increase in the number of people publishing papers based on ab initio methods from about 3,000 in 1991 to roughly 20,000 in 2009, with particularly strong growth in East Asia. Looking to the future, the question remains as to how these methods can be further integrated into the R&D value chain, bridging the gap from engineering to manufacturing.

Using successful case studies as a framework, Industrial Applications of Molecular Simulations demonstrates the capability of molecular modeling to tackle problems of industrial relevance. This book presents a wide range of various modeling techniques, including methods based on quantum or classical mechanics, molecular dynamics, Monte Carlo simulations, etc. It also explores a wide range of materials, from soft materials such as polymeric blends widely used in the chemical industry to hard or inorganic materials such as glasses and alumina.

Features

• Demonstrates how modeling can solve everyday problems for scientists in industry
• Provides a broad overview of theoretical approaches
• Presents a wide range of applications in areas such as materials research, catalysis, pharmaceutical development and electronics
• Emphasizes the relationship between theory and experiments

In addition to structure formation in crystallizing polymers and semicrystalline polymers, this second edition completes the topic of transport phenomena. It also reviews solidification by crystallization during cooling and under flow or pressure, which all play an enormous role in polymer melt processing. Generally, there is an intensive interaction between three transport phenomena: heat transfer, momentum transfer (flow, rheology) and (flow induced) crystallization. The strong interaction between the three transport phenomena is a major challenge when it comes to experimentation, and advances in this area are detailed in the book, guiding further development of sound modeling. This book enables readers to follow an advanced course in polymer processing. It is a valuable resource for polymer chemists, applied physicists, rheologists, plastics engineers, mold makers and material scientists.

Sonochemistry is studied primarily by chemists and sonoluminescence mainly by physicists, but a single physical phenomenon - acoustic cavitation - unites the two areas. The physics of cavitation bubble collapse, is relatively well understood by acoustical physicists but remains practically unknown to the chemists. By contrast, the chemistry that gives rise to electromagnetic emissions and the acceleration of chemical reactions is familiar to chemists, but practically unknown to acoustical physicists. It is just this knowledge gap that the present volume addresses. The first section of the book addresses the fundamentals of cavitation, leading to a more extensive discussion of the fundamentals of cavitation bubble dynamics in section two. A section on single bubble sonoluminescence follows. The two following sections address the new scientific discipline of sonochemistry, and the volume concludes with a section giving detailed descriptions of the applications of sonochemistry. The mixture of tutorial lectures and detailed research articles means that the book can serve as an introduction as well as a comprehensive and detailed review of these two interesting and topical subjects.

Biological membranes play a central role in cell structure, shape and functions. However, investigating the membrane bilayer has proved to be difficult due to its highly dynamic and anisotropic structure, which generates steep gradients at the nanometer scale. Due to the decisive impact of recently developed fluorescence-based techniques, tremendous advances have been made in the last few years in our understanding of membrane characteristics and functions. In this context, the present book illustrates some of these major advances by collecting review articles written by highly respected experts. The book is organized in three parts, the first of which deals with membrane probes and model membranes. The second part describes the use of advanced quantitative and high-resolution techniques to explore the properties of biological membranes, illustrating the key progress made regarding membrane organization, dynamics and interactions. The third part is focused on the investigation of membrane proteins using the same techniques, and notably on the membrane receptors that play a central role in signaling pathways and therapeutic strategies. All chapters provide comprehensive information on membranes and their exploration for beginners in the field and advanced researchers alike.

This book should be of interest to introductory and general text for students in chemistry, physical chemistry and physical sciences.

This book is the result of a NATO Advanced Research Workshop held in Vimeiro, Portugal, in May 1992. The objectives of this Workshop were: i) to promote exchange of knowledge between experts in various fields of discharge modeling, plasma diagnostics and microwave plasma applications; ii) to assess the state-of-the-art in this field from a multidisciplinary viewpoint; iii) to identify basic points needing clarification and to estab- lish basic guidelines for future research; iv) to compare the properties of microwave dis- charges to those of RF discharges, as plasma sources for specific applications. Most of the contributors to this book are well known scientists in the field of mi- crowave discharge sources, modeling, diagnostics and applications. The book provides an up-to-date review in this field which should be useful for both the fundamentalists and those using these systems in applications such as surface treatment and elemental analysis. We are gmteful to a number of organizations for providing the fmancial assistance that made the Workshop possible. Foremost is the NATO Scientific Affairs Division, which provided the major contribution for the Workshop. In addition, the following Por- tuguese sources made contributions: Instituto Nacional de Investiga~iio Cientifica, Junta Nacional de Investiga~iio Cientifica e Tecnologica, Centro de Electrodinamica da Univer- sidade Tecnica de Lisboa, Instituto Superior Tecnico, Banco Nacional Ultmmarino, and Regiiio de Turismo do Oeste.

In previous volumes in this series, "Advances in Metal and Semiconductor Clusters," the focus has been on atomic clusters of metals, semiconductors and carbon. Fundamental gas phase studies have been surveyed, and most recently scientists have explored new materials which can be produced from clusters or cluster precursors. In this latest volume, the focus shifts to clusters composed primarily of non-metal molecules or atoms which have one or more metal atoms seeded into the cluster as an impurity. These clusters provide model systems for metal ion solvation processes and metal-ligand interactions.
Metal-ligand bonding underlies the vast fields of organometallic chemistry, transition metal chemistry and homogeneous catalysis. Catalytic activity, ligand displacement reactions and photochemical activity depend on the specific details of metal-ligand bonding. Likewise, metal ions are ubiquitous in chemistry and biology and weaker electrostatic interactions play a leading role in their function. In solution, metals exist in different charge states depending on the conditions, and the solvation environment strongly influences their chemistry. Many enzymes have metal ions at their active sites, and electrostatic interactions influence the selectivity for metal ion transport through cell membranes. Metal ions (e.g., Mg+, Ca+) are deposited into the earth's atmosphere by meteor ablation, resulting in a rich variety of atmospheric chemistry. Similarly, metal ions ( Mg+) have been observed in planetary atmospheres and in the impact of the comet Shoemaker-Levy 9 on Jupiter. In various circumstances, the electrostatic interactions of metal ions determine the outcome of significant chemistry. Cluster chemistry has made significant contributions to the understanding of these stronger metal ligand interactions and weaker metal ion solvation interactions. In this volume, the authors explore a variety of work in these general areas, where new cluster science techniques in the gas phase have made it possible to synthesize new kinds of complexes with metals and to measure their properties in detail.

In this thesis Matthew Simpson reportstwo areas of work in gas ion spectroscopy, each investigation in itself worthy of a PhD. The first study uses tunable vacuum-ultraviolet radiation from a synchrotron to identify negative ions from twenty four photoexcited polyatomic molecules in the gas phase. From these experiments, Matthew collects a vast amount of data and summarises and reviews ion-pair formation from polyatomic molecules. The second study is on selected ion flow tube mass spectrometry. Matthew investigates the reactions of cations and anions with ethene, monofluoroethene, 1,1-difluoroethene and tetrafluoroethene. In this study Matthew tries to explain why certain products are formed preferentially over other products at a microscopic level of understanding. The data recorded in this thesis form the most comprehensive collection of information about anion formation and are the basis of a review and numerous articles in specialist journals.

Cell adhesion comes into play in almost all domains of life. The range of situations in which it occurs, involving organisms, living tissues, microorganisms or single cells, is endless. Cell adhesion is involved in the binding of a cell to a surface, extracellular matrix, or another cell using cell adhesion molecules. It is crucial in the formation and maintenance of coherent multicellular structures. Cell surface adhesion molecules (integrins, for example) which transmit information from the extracellular matrix to the cell play vital roles in numerous cellular processes. Some of these include: cell growth, differentiation, embryogenesis, immune cell transmigration and response, and cancer metastasis. Also cell adhesion is involved in most of pathological situations. This book is divided into four parts as follows: Part 1: Fundamentals of Cell Adhesion; Part 2: Methods to Study Cell Adhesion; Part 3: Surface Treatments to Control Cell Adhesion and Behavior; and Part 4: Cell Adhesion in Medicine and Therapy. A bountiful information is covered in this book which represents the cumulative wisdom of many world-renowned researchers( physicists, materials scientists, chemists and biologists) engaged in unraveling the mechanisms of cell adhesion and how to mitigate or control it. It quite patent from the topics covered in this book that the subject of cell adhesion is truly interdisciplinary. This book should be of great interest and value to anyone interested in cell adhesion which is vitally important to human life.

I used the opportunity of this edition to correct some minor mistakes and clarify, wherever it possible, exposition of the theory in comparison with the previous edition of this book (Kluwer, Dordrechtet cet, 2000). It provokes - largement of the book, though I tried to present the modern theory of thermic motion of long macromolecules in compact form. I have tried to accumulate the common heritage and to take into account di?erent approaches in the theory of dynamics of linear polymers, at least, to understand and make clear the importance of various ideas for explanation of relaxation phenomena in linear polymers, to present recent development in the ?eld. The theory of non-equilibrium phenomena in polymer systems is based on the fundamental principles of statistical physics. However, the peculiarities of thestructureandthebehaviourofthesystemsnecessitatetheimplementation of special methods and heuristic models that are di?erent from those for gases and solids, so that polymer dynamics has appeared to be a special branch of physicsnow. Themonographcontainsdiscussionsofthemainprinciplesofthe theoryof slowrelaxationphenomena in linearpolymers, elaborated inthe last decades. The basic model of a macromolecule, which allows us a consistent explanation of di?erent relaxation phenomena (di?usion, neutron scattering, viscoelasticity, optical birefringence), remains to be a coarse-grained or be- spring model, considered in di?erent environments: viscous, to describe the behaviourofdilutesolutions, orviscoelastic, todescribethebehaviourofboth weakly and strongly entangled system

Take any combination of the following features: supramolecular structures with a specific fluorescent probe localized as you would like; nanoscale spatial reso- tion; tailor-made molecular and/or solid-state fluorescing nanostructures; us- friendly and/or high- throughput fluorescence techniques; the ability to do wh- ever you wish with just one single (supra)molecule; utilization of non-linear optical processes; and,last but not least,physical understanding of the processes resu- ing in a (biological) functionality at the single molecule level. What you will then have is some recent progress in physics,chemistry,and the life sciences leading to the development of a new tool for research and application. This was amply demonstrated at the 8th Conference on Methods and Applications of Fluorescence: Probes,Imaging,and Spectroscopy held in Prague,the Czech Republic on August 24th-28th, 2003. This formed a crossroad of ideas from a variety of natural science and technical research fields and biomedical applications in particular. This volume - the third book in the Springer-Verlag Series on Fluorescence - reviews some of the most characteristic topics of the multidisciplinary area of fluorescence applications in life sciences either presendted directly at th 8th MAF Conference or considered to be a cruical development in the field. In the initial contribution in Part 1 - Basics and Advanced Approaches,the - itors explain the basics of fluorescence and illustrate the relationship between some modern fluorescence techniques and classical approaches. The second contrigution by B.