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"While significant progress has been made in the past decade, the current understanding of protein aggregation and its consequences is still immature. Aggregation of Therapeutic Proteins provides an up-to-date resource on protein aggregation and its consequences, and available methods to control or slow down the aggregation process. This book also covers an overview on the causes, consequences, characterization, and control of the aggregation of therapeutic proteins. The knowledge in this book will help pharmaceutical scientists in the development of therapeutic proteins, and also instigate further scientific investigations in this area"--Provided by publisher.
Protein drugs. --- Aggregation (Chemistry) --- Recombinant Proteins --- Cell Aggregation. --- Protein Conformation. --- Protein Folding. --- therapeutic use. --- metabolism.
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A. Banyaga: On the group of diffeomorphisms preserving an exact symplectic.- G.A. Fredricks: Some remarks on Cauchy-Riemann structures.- A. Haefliger: Differentiable Cohomology.- J.N. Mather: On the homology of Haefliger’s classifying space.- P. Michor: Manifolds of differentiable maps.- V. Poenaru: Some remarks on low-dimensional topology and immersion theory.- F. Sergeraert: La classe de cobordisme des feuilletages de Reeb de S³ est nulle.- G. Wallet: Invariant de Godbillon-Vey et difféomorphismes commutants.
Differential topology --- Topology --- Mathematics. --- Manifolds (Mathematics). --- Complex manifolds. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Geometry, Differential --- Cell aggregation --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Analytic spaces --- Manifolds (Mathematics)
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In this book a novel optical switch is designed, developed, and tested. The switch integrates optical switching, transparent traffic aggregation/grooming, and optical regener-ation. Innovative switch subsystems are developed that enable these functionalities, including all-optical OTDM-to-WDM converters. High capacity ring interconnection between metro-core rings, carrying 130 Gbit/s OTDM traffic, and metro-access rings carring 43 Gbit/s WDM traffic is experimentally demonstrated. The developed switch features flexibility in bandwidth provisioning, scalability to higher traffic volumes, and backward compatibility with existing network implementations in a future-proof way.
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The discoveries of the last decades have opened new perspectives for the old field of Hamiltonian systems and led to the creation of a new field: symplectic topology. Surprising rigidity phenomena demonstrate that the nature of symplectic mappings is very different from that of volume preserving mappings. This raises new questions, many of them still unanswered. On the other hand, analysis of an old variational principle in classical mechanics has established global periodic phenomena in Hamiltonian systems. As it turns out, these seemingly different phenomena are mysteriously related. One of the links is a class of symplectic invariants, called symplectic capacities. These invariants are the main theme of this book, which includes such topics as basic symplectic geometry, symplectic capacities and rigidity, periodic orbits for Hamiltonian systems and the action principle, a bi-invariant metric on the symplectic diffeomorphism group and its geometry, symplectic fixed point theory, the Arnold conjectures and first order elliptic systems, and finally a survey on Floer homology and symplectic homology. The exposition is self-contained and addressed to researchers and students from the graduate level onwards. ------ All the chapters have a nice introduction with the historic development of the subject and with a perfect description of the state of the art. The main ideas are brightly exposed throughout the book. (…) This book, written by two experienced researchers, will certainly fill in a gap in the theory of symplectic topology. The authors have taken part in the development of such a theory by themselves or by their collaboration with other outstanding people in the area. (Zentralblatt MATH) This book is a beautiful introduction to one outlook on the exciting new developments of the last ten to fifteen years in symplectic geometry, or symplectic topology, as certain aspects of the subject are lately called. (…) The authors are obvious masters of the field, and their reflections here and there throughout the book on the ambient literature and open problems are perhaps the most interesting parts of the volume. (Matematica).
Hamiltonian systems. --- Geometry, Differential. --- Symplectic manifolds. --- Manifolds, Symplectic --- Differential geometry --- Hamiltonian dynamical systems --- Systems, Hamiltonian --- Mathematics. --- Mathematical analysis. --- Analysis (Mathematics). --- Differential geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Differential Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Analysis. --- Geometry, Differential --- Manifolds (Mathematics) --- Differentiable dynamical systems --- Global differential geometry. --- Cell aggregation --- Global analysis (Mathematics). --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- 517.1 Mathematical analysis --- Mathematical analysis --- Topology --- Analytic spaces --- Mathematics
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This classic monograph provides an overview of modern advances in representation theory from a geometric standpoint. A geometrically-oriented treatment of the subject is very timely and has long been desired, especially since the discovery of D-modules in the early 1980s and the quiver approach to quantum groups in the early 1990s. The techniques developed are quite general and can be successfully applied to other areas such as quantum groups, affine Lie groups, and quantum field theory. The first half of the book fills the gap between the standard knowledge of a beginner in Lie theory and the much wider background needed by the working mathematician. The book is largely self-contained. . . . There is a nice introduction to symplectic geometry and a charming exposition of equivariant K-theory. Both are enlivened by examples related to groups. . . . An attractive feature is the attempt to convey some informal 'wisdom' rather than only the precise definitions. As a number of results is due to the authors, one finds some of the original excitement. This is the only available introduction to geometric representation theory. . . it has already proved successful in introducing a new generation to the subject. --- Bulletin of the American Mathematical Society The authors have tried to help readers by adopting an informal and easily accessible style. . . . The book will provide a guide to those who wish to penetrate into subject-matter which, so far, was only accessible in difficult papers. . . . The book is quite suitable as a basis for an advanced course or a seminar, devoted to the material of one of the chapters of the book. --- Mededelingen van het Wiskundig Genootschap Represents an important and very interesting addition to the literature. --- Mathematical Reviews.
Topological Groups. --- Geometry, algebraic. --- Cell aggregation --- Topological Groups, Lie Groups. --- Algebraic Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Theoretical, Mathematical and Computational Physics. --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Algebraic geometry --- Geometry --- Groups, Topological --- Continuous groups --- Mathematics. --- Topological groups. --- Lie groups. --- Algebraic geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Mathematical physics. --- Physical mathematics --- Physics --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Mathematics --- Geometry, Algebraic.
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Industrial Biofouling discusses the the challenges--and to a lesser extent, the benefits--of biofilms on industrial processing surfaces. It addresses the operating problems caused by establishment and growth of microorganisms, thereby enabling effective equipment design and operation that minimizes biofouling. Discusses the chemical and physical control of biofilm growth, with coverage of dosing techniques, equipment cleaning, and cost managementPresents methods for monitoring and evaluating the effectiveness of control techniquesIncorporates explicit
Fouling. --- Industrial water supply. --- Biofilms. --- Microbial aggregation --- Microbial ecology --- Industrial districts --- Industries --- Water-supply, Industrial --- Water-supply --- Biofouling --- Microbial fouling --- Particulate fouling --- Precipitation fouling --- Surfaces (Technology) --- Fouling organisms
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Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. The present monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality. The cornerstone of the method is a process of spatial homology truncation, whose functoriality properties are analyzed in detail. The material on truncation is autonomous and may be of independent interest to homotopy theorists. The cohomology of intersection spaces is not isomorphic to intersection cohomology and possesses algebraic features such as perversity-internal cup-products and cohomology operations that are not generally available for intersection cohomology. A mirror-symmetric interpretation, as well as applications to string theory concerning massless D-branes arising in type IIB theory during a Calabi-Yau conifold transition, are discussed.
Intersection homology theory --- Homotopy theory --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Intersection homology theory. --- String models. --- Duality theory (Mathematics) --- Models, String --- String theory --- Mathematics. --- Algebraic geometry. --- Geometry. --- Topology. --- Algebraic topology. --- Manifolds (Mathematics). --- Complex manifolds. --- Quantum field theory. --- String theory. --- Algebraic Geometry. --- Algebraic Topology. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Quantum Field Theories, String Theory. --- Nuclear reactions --- Relativistic quantum field theory --- Field theory (Physics) --- Quantum theory --- Relativity (Physics) --- Analytic spaces --- Manifolds (Mathematics) --- Geometry, Differential --- Topology --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Euclid's Elements --- Algebraic geometry --- Math --- Science --- Algebra --- Mathematical analysis --- Homology theory --- Geometry, algebraic. --- Cell aggregation --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation
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This second edition, divided into fourteen chapters, presents a comprehensive treatment of contact and symplectic manifolds from the Riemannian point of view. The monograph examines the basic ideas in detail and provides many illustrative examples for the reader. Riemannian Geometry of Contact and Symplectic Manifolds, Second Edition provides new material in most chapters, but a particular emphasis remains on contact manifolds. New principal topics include a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle and a complex version of the special directions discussed in Chapter 11 for the real case. Both of these topics make use of Étienne Ghys's attractive notion of a holomorphic Anosov flow. Researchers, mathematicians, and graduate students in contact and symplectic manifold theory and in Riemannian geometry will benefit from this work. A basic course in Riemannian geometry is a prerequisite. Reviews from the First Edition: "The book . . . can be used either as an introduction to the subject or as a reference for students and researchers . . . [it] gives a clear and complete account of the main ideas . . . and studies a vast amount of related subjects such as integral sub-manifolds, symplectic structure of tangent bundles, curvature of contact metric manifolds and curvature functionals on spaces of associated metrics." —Mathematical Reviews "…this is a pleasant and useful book and all geometers will profit [from] reading it. They can use it for advanced courses, for thesis topics as well as for references. Beginners will find in it an attractive [table of] contents and useful ideas for pursuing their studies." —Memoriile Sectiilor Stiintifice.
Contact manifolds. --- Geometry, Riemannian. --- Symplectic manifolds. --- Contact manifolds --- Symplectic manifolds --- Geometry, Riemannian --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Manifolds, Symplectic --- Riemann geometry --- Riemannian geometry --- Manifolds, Contact --- Mathematics. --- Algebraic geometry. --- Differential geometry. --- Manifolds (Mathematics). --- Complex manifolds. --- Differential Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Algebraic Geometry. --- Geometry, Differential --- Manifolds (Mathematics) --- Generalized spaces --- Geometry, Non-Euclidean --- Semi-Riemannian geometry --- Almost contact manifolds --- Differentiable manifolds --- Global differential geometry. --- Cell aggregation --- Geometry, algebraic. --- Algebraic geometry --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Analytic spaces --- Topology --- Differential geometry
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The roots of ’physical mathematics’ can be traced back to the very beginning of man's attempts to understand nature. Indeed, mathematics and physics were part of what was called natural philosophy. Rapid growth of the physical sciences, aided by technological progress and increasing abstraction in mathematical research, caused a separation of the sciences and mathematics in the 20th century. Physicists’ methods were often rejected by mathematicians as imprecise, and mathematicians’ approach to physical theories was not understood by the physicists. However, two fundamental physical theories, relativity and quantum theory, influenced new developments in geometry, functional analysis and group theory. The relation of Yang-Mills theory to the theory of connections in a fiber bundle discovered in the early 1980s has paid rich dividends to the geometric topology of low dimensional manifolds. Aimed at a wide audience, this self-contained book includes a detailed background from both mathematics and theoretical physics to enable a deeper understanding of the role that physical theories play in mathematics. Whilst the field continues to expand rapidly, it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader to their next point of exploration in this vast and exciting landscape.
Mathematical analysis. --- Mathematical physics. --- Mathematical physics --- Mathematics --- Engineering & Applied Sciences --- Physical Sciences & Mathematics --- Applied Physics --- Geometry --- Science --- Mathematics. --- Math --- Algebra. --- Field theory (Physics). --- Global analysis (Mathematics). --- Manifolds (Mathematics). --- Differential geometry. --- Topology. --- Complex manifolds. --- Differential Geometry. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Field Theory and Polynomials. --- Global Analysis and Analysis on Manifolds. --- Global differential geometry. --- Cell aggregation --- Global analysis. --- Classical field theory --- Continuum physics --- Physics --- Continuum mechanics --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Geometry, Differential --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Mathematical analysis --- Analytic spaces --- Manifolds (Mathematics) --- Topology --- Differential geometry
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The present volume grew out of the Heidelberg Knot Theory Semester, organized by the editors in winter 2008/09 at Heidelberg University. The contributed papers bring the reader up to date on the currently most actively pursued areas of mathematical knot theory and its applications in mathematical physics and cell biology. Both original research and survey articles are presented; numerous illustrations support the text. The book will be of great interest to researchers in topology, geometry, and mathematical physics, graduate students specializing in knot theory, and cell biologists interested in the topology of DNA strands.
Knot theory. --- Low-dimensional topology. --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- Global differential geometry. --- Topology, Low-dimensional --- Mathematics. --- Differential geometry. --- Topology. --- Manifolds (Mathematics). --- Complex manifolds. --- Biomathematics. --- Physics. --- Manifolds and Cell Complexes (incl. Diff.Topology). --- Differential Geometry. --- Physiological, Cellular and Medical Topics. --- Numerical and Computational Physics. --- Geometry, Differential --- Algebraic topology --- Manifolds (Mathematics) --- Knots (Topology) --- Low-dimensional topology --- Cell aggregation --- Physiology --- Numerical and Computational Physics, Simulation. --- Animal physiology --- Animals --- Biology --- Anatomy --- Aggregation, Cell --- Cell patterning --- Cell interaction --- Microbial aggregation --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Differential geometry --- Analytic spaces --- Topology
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