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This is the fourth volume in the series "Mathematics in Industrial Prob lems." The motivation for these volumes is to foster interaction between Industry and Mathematics at the "grass roots"; that is, at the level of spe cific problems. These problems come from Industry: they arise from models developed by the industrial scientists in ventures directed at the manufac ture of new or improved products. At the same time, these problems have the potential for mathematical challenge and novelty. To identify such problems, I have visited industries and had discussions with their scientists. Some of the scientists have subsequently presented their problems in the IMA Seminar on Industrial Problems. The book is based on questions raised in the seminar and subsequent discussions. Each chapter is devoted to one of the talks and is self-contained. The chap ters usually provide references to the mathematical literature and a list of open problems which are of interest to the industrial scientists. For some problems partial solution is indicated briefly. The last chapter of the book contains a short description of solutions to some of the problems raised in the third volume, as well as references to papers in which such solutions have been published.
Physics at Surfaces is a unique graduate-level introduction to the physics and chemical physics of solid surfaces, and atoms and molecules that interact with solid surfaces. A subject of keen scientific inquiry since the last century, surface physics emerged as an independent discipline only in the late 1960s as a result of the development of ultra-high vacuum technology and high speed digital computers. With these tools, reliable experimental measurements and theoretical calculations could at last be compared. Progress in the last decade has been truly striking. This volume provides a synthesis of the entire field of surface physics from the perspective of a modern condensed matter physicist with a healthy interest in chemical physics. The exposition intertwines experiment and theory whenever possible, although there is little detailed discussion of technique. This much-needed text will be invaluable to graduate students and researchers in condensed matter physics, physical chemistry and materials science working in, or taking graduate courses in, surface science.
This book contains the papers presented at a meeting sponsored by the Colloid and Interface Science Group of the Faraday Division, Royal Society of Chemistry, which was held at Wills Hall, University of Bristol from the 14th - 16th April 1997. The pur pose of the meeting, which was entitled Colloidal Dispersions, was to discuss the subject of concentrated colloidal systems including, dispersions, emulsions and powders, in order to emphasize recent advances in experimental and theoretical understanding of these systems and how these advances could be applied to practical utitisation in the wide range of industries which are involved with colloidal systems. The papers presented at the meeting were given by the principal participants in a 5 year project on Colloid Technology, which started on the 1st August 1992, and was funded by the Department of Trade and Industry (DTI) of the U.K. and a consortium of industries which was composed of ICI, Schlumberger, Unilever and Zeneca. The academic centres involved were, the Universities of Bristol, Cambridge, Edinburgh and Imperial College, London. Each of the papers published in this volume formed the focus for a discussion on that topic so that each subject was discussed in so me depth by the participants. J ean Proctor and Meg Staff have been tremendously helpful as secretaries at Bristol and Cambridge respectively throughout the project. Also, their help with the various meetings and with the production of this volume was invaluable. We thank them most warmly for their very able assistance.
Rewritten and redesigned, this remains the one essential text on the diseases of skeletal muscle.
Preparation of Liquid Crystalline Elastomers, by F. Brömmel, D. Kramer, H. Finkelmann Applications of Liquid Crystalline Elastomers, by C. Ohm, M. Brehmer und R. Zentel Liquid Crystal Elastomers and Light, by Peter Palffy-Muhoray Electro-Opto-Mechanical Effects in Swollen Nematic Elastomers, by Kenji Urayama The Isotropic-to-Nematic Conversion in Liquid Crystalline Elastomers, by Andrija Lebar, George Cordoyiannis, Zdravko Kutnjak und Bostjan Zalar Order and Disorder in Liquid-Crystalline Elastomers, by Wim H. de Jeu und Boris I. Ostrovskii
The aim of this book volume is to explain the importance of Markov state models to molecular simulation, how they work, and how they can be applied to a range of problems. The Markov state model (MSM) approach aims to address two key challenges of molecular simulation: 1) How to reach long timescales using short simulations of detailed molecular models. 2) How to systematically gain insight from the resulting sea of data. MSMs do this by providing a compact representation of the vast conformational space available to biomolecules by decomposing it into states sets of rapidly interconverting conformations and the rates of transitioning between states. This kinetic definition allows one to easily vary the temporal and spatial resolution of an MSM from high-resolution models capable of quantitative agreement with (or prediction of) experiment to low-resolution models that facilitate understanding. Additionally, MSMs facilitate the calculation of quantities that are difficult to obtain from more direct MD analyses, such as the ensemble of transition pathways. This book introduces the mathematical foundations of Markov models, how they can be used to analyze simulations and drive efficient simulations, and some of the insights these models have yielded in a variety of applications of molecular simulation.
This textbook presents a special solution to underdetermined linear systems where the number of nonzero entries in the solution is very small compared to the total number of entries. This is called a sparse solution. Since underdetermined linear systems can be very different, the authors explain how to compute a sparse solution using many approaches. Sparse Solutions of Underdetermined Linear Systems and Their Applications contains 64 algorithms for finding sparse solutions of underdetermined linear systems and their applications for matrix completion, graph clustering, and phase retrieval and provides a detailed explanation of these algorithms including derivations and convergence analysis. Exercises for each chapter help readers understand the material. This textbook is appropriate for graduate students in math and applied math, computer science, statistics, data science, and engineering. Advisors and postdoctoral scholars will also find the book interesting and useful.
45 years after the discovery of transition metals and organometallics as cocatalysts for the polymerization of olefins and for organic synthesis, these compounds have not lost their fascination. The birthday of Karl Ziegler, the great pioneer in this metalorganic catalysis, is now 100 years ago. Polyolefins and polydienes produced by Ziegler-Natta catalysis are the most important plastics and elastomers. New impulses for the polymerization of olefins have been brought about by highly active metallocenes and other single site catalysts. Just by changing the ligands of the organometallic compounds, the structure of the polymers produced can be tailored in a wide manner. In invited lectures and posters, relevant aspects of the metalorganic catalysts for synthesis and polymerization are discussed in this book. This includes mechanism and kinetics, stereochemistry, material properties, and industrial applications.
PEGylation technology and key applications are introduced by this topical volume. Basic physical and chemical properties of PEG as basis for altering/improving in vivo behaviour of PEG-conjugates such as increased stability, improved PK/PD, and decreased immunogenicity, are discussed. Furthermore, chemical and enzymatic strategies for the coupling and the conjugate characterization are reported. Following chapters describe approved and marketed PEG-proteins and PEG-oligonucleotides as well as conjugates in various stages of clinical development.