“… Giant molecules are important in our everyday life. But, as pointed out by the authors, they are also associated with a culture. What Bach did with the harpsichord, Kuhn and Flory did with polymers. We owe a lot of thanks to those who now make this music accessible …”Pierre-Gilles de Gennes Nobel Prize laureate in Physics (Foreword for the 1st Edition, March 1996)This book describes the basic facts, concepts and ideas of polymer physics in simple, yet scientifically accurate, terms. In both scientific and historic contexts, the book shows how the subject of polymers is fascinating, as it is behind most of the wonders of living cell machinery as well as most of the newly developed materials. No mathematics is used in the book beyond modest high school algebra and a bit of freshman calculus, yet very sophisticated concepts are introduced and explained, ranging from scaling and reptations to protein folding and evolution. The new edition includes an extended section on polymer preparation methods, discusses knots formed by molecular filaments, and presents new and updated materials on such contemporary topics as single molecule experiments with DNA or polymer properties of proteins and their roles in biological evolution.
In this thesis, the author develops numerical techniques for tracking and characterising the convoluted nodal lines in three-dimensional space, analysing their geometry on the small scale, as well as their global fractality and topological complexity---including knotting---on the large scale. The work is highly visual, and illustrated with many beautiful diagrams revealing this unanticipated aspect of the physics of waves. Linear superpositions of waves create interference patterns, which means in some places they strengthen one another, while in others they completely cancel each other out. This latter phenomenon occurs on 'vortex lines' in three dimensions. In general wave superpositions modelling e.g. chaotic cavity modes, these vortex lines form dense tangles that have never been visualised on the large scale before, and cannot be analysed mathematically by any known techniques.
Surveying the last sixty years of research, this book describes the physical properties of DNA in the context of its biological functioning. It is designed to enable both students and researchers of molecular biology, biochemistry and physics to better understand the biophysics of DNA, addressing key questions and facilitating further research. The chapters integrate theoretical and experimental approaches, emphasising throughout the importance of a quantitative knowledge of physical properties in building and analysing models of DNA functioning. For example, the book shows how the relationship between DNA mechanical properties and the sequence specificity of DNA-protein binding can be analyzed quantitatively by using our current knowledge of the physical and structural properties of DNA. Theoretical models and experimental methods in the field are critically considered to enable the reader to engage effectively with the current scientific literature on the physical properties of DNA.
First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.
This book is aimed at a large audience: from students, who have a high school background in physics, mathematics, chemistry, and biology, to scien tists working in the fields of biophysics and biochemistry. The main aim of this book is to attempt to describe, in terms of physical chemistry and chemi cal physics, the peculiar features of "machines" having molecular dimen sions which play a crucial role in the most important biological processes, viz., energy transduction and enzyme catalysis. One of the purposes of this book is to analyze the physical background of the high efficiency of molecu lar machines functioning in the living cell. This book begins with a brief review of the subject (Chapter 1). Macro molecular energy-transducing complexes operate with thermal, chemical, and mechanical energy, therefore the appropriate framework to discuss the functioning of biopolymers comes from thermodynamics and chemical kinet ics. That is why we start our analysis with a consideration of the conventional approaches of thermodynamics and classical chemical kinetics, and their application to the description of bioenergetic processes (Chapter 2). Critical analysis of these approaches has led us to the conclusion that the conven tional approaches of physical chemistry to the description of the functioning of individual macromolecular devices, in many cases, appear to be incom plete. This prompted us to consider the general principles ofliving machinery from another point of view.
This book covering the basics and the state-of-the-art of cryobiology and its applications emphasizes the underlying physical phenomena. It includes a comprehensive glossary and appendices for deeper exploration into special issues.
Comprehensive and lavishly illustrated, McKee's Pathology of the Skin, 5th Edition, is your reference of choice for up-to-date, authoritative information on dermatopathology. You'll find clinical guidance from internationally renowned experts along with details on etiology, pathogenesis, histopathology, and differential diagnosis – making this unique reference unparalleled in its wealth of clinical and histopathological material. The 5th Edition of this classic text is a must-have resource for practicing dermatopathologists and general pathologists who sign out skin biopsies. - Covers pathological aspects of skin diseases in addition to providing superb descriptions and illustrations of their clinical manifestations – the only available reference with this unique combination of features. - Integrates dermatopathology, clinical correlations, and clinical photographs throughout, and features bulleted lists of clinical features and differential diagnosis tables for easy reference. - Contains more than 5,000 superb histopathologic and clinical illustrations that demonstrate the range of histologic manifestations. - Brings you fully up to date with key molecular aspects of disease, the capabilities and limitations of molecular diagnostics, and targeted/personalized medicine. - Features up-to-date information on biologics, drug eruptions, and other developments in therapeutics. - Helps you stay current with the latest diagnostic tumor markers and other new developments in immunohistochemistry. - Includes a completely revised chapter on cutaneous lymphoma that reflects recent WHO-EORTC classification changes, as well as new coverage of sentinel lymph node biopsy for melanoma. - Shares the knowledge of the main editor Dr. J. Eduardo Calonje, along with co-editors Thomas Brenn, and Alexander Lazar, and new co-editor Steven D. Billings who offers expertise on both dermatopathology and soft tissue tumors. - Enhanced eBook version included with purchase. Your enhanced eBook allows you to access all of the text, figures, and references from the book on a variety of devices.
“… Giant molecules are important in our everyday life. But, as pointed out by the authors, they are also associated with a culture. What Bach did with the harpsichord, Kuhn and Flory did with polymers. We owe a lot of thanks to those who now make this music accessible …”Pierre-Gilles de Gennes Nobel Prize laureate in Physics (Foreword for the 1st Edition, March 1996)This book describes the basic facts, concepts and ideas of polymer physics in simple, yet scientifically accurate, terms. In both scientific and historic contexts, the book shows how the subject of polymers is fascinating, as it is behind most of the wonders of living cell machinery as well as most of the newly developed materials. No mathematics is used in the book beyond modest high school algebra and a bit of freshman calculus, yet very sophisticated concepts are introduced and explained, ranging from scaling and reptations to protein folding and evolution. The new edition includes an extended section on polymer preparation methods, discusses knots formed by molecular filaments, and presents new and updated materials on such contemporary topics as single molecule experiments with DNA or polymer properties of proteins and their roles in biological evolution.
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