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Because of the correspondences existing among all levels of reality, truths pertaining to a lower level can be considered as symbols of truths at a higher level and can therefore be the "foundation" or support leading by analogy to a knowledge of the latter. This confers to every science a superior or "elevating" meaning, far deeper than its own original one. - R. GUENON, The Crisis of Modern World Having been interested in the Kepler Problem for a long time, I have al­ ways found it astonishing that no book has been written yet that would address all aspects of the problem. Besides hundreds of articles, at least three books (to my knowledge) have indeed been published al­ ready on the subject, namely Englefield (1972), Stiefel & Scheifele (1971) and Guillemin & Sternberg (1990). Each of these three books deals only with one or another aspect of the problem, though. For example, En­ glefield (1972) treats only the quantum aspects, and that in a local way. Similarly, Stiefel & Scheifele (1971) only considers the linearization of the equations of motion with application to the perturbations of celes­ tial mechanics. Finally, Guillemin & Sternberg (1990) is devoted to the group theoretical and geometrical structure.

Over the past ten years, a number of cytokines and growth factors have proven to be as effective therapeutics. While these products have certainly established recombinant biologics as a major pharmaceutical growth sector, the continued interest in this class of drugs arises from the fact that today we have a far better understanding of the human immune response, both at a cellular and molecular level. This has resulted in a more methodical characterisation of these factors which has given clinical researchers an opportunity to plan Phase 1 clinical trials that can provide substantial information on the activity of the cytokine in humans. Currently, a great deal of effort is also being channelled into identifying cytokines from the various DNA databases. Our major objective for this book is to profile cytokines that have been recently identified. The therapeutic potential of these cytokines based on their known properties will be discussed by the authors. The main aim of this book is to provide...

-There is an acceleration in prion disease research because of the spread of mad cow disease.-This book covers in vitro, cellular, and animal models adapted for the study of TSEs.-Includes bio-saftey procedures.

Ausgehend von den chemischen Grundlagen werden in diesem Buch die Anwendung und der Einsatz von Kunststoffen im Bauwesen beschrieben. Neben dem allgemeinen Schutz von Oberflächen gehen die Autoren auf die Verfahren im Rahmen von Sanierungsmaßnahmen ein und analysieren kunststoffmodifizierte Baustoffe.

The volume contains the proceedings of the OTAMP 2006 (Operator Theory, Analysis and Mathematical Physics) conference held at Lund University in June 2006. The conference was devoted to the methods of analysis and operator theory in modern mathematical physics. The following special sessions were organized: Spectral analysis of Schrodinger operators; Jacobi and CMV matrices and orthogonal polynomials; Quasi-periodic and random Schrodinger operators; Quantum graphs.

This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. There are contributions from leading specialists, and the book maintains a reasonable balance between research, expository and mixed papers.

The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Differential equations are a fast evolving branch of mathematics and one of the mathematical tools most used by scientists and engineers. This book gathers a collection of original articles and state-of-the-art contributions, written by highly distinguished researchers working in differential equations, delay-differential equations, differential inclusions, variational problems, Young measures, control theory, dynamical systems, chaotic systems and their relations with physical systems. The forefront of research in these areas is represented in this volume.The book and all contributions are dedicated to Arrigo Cellina and James A. Yorke on their 65th anniversary. Their remarkable scientific career covered all the above areas and was one of the main driving forces behind the work of many of the authors and the editor of this volume.For researchers and graduate students in mathematics, physics and engineering, the material in this book will be a valuable resource, and a tool for everyone working in differential equations, chaos and variational problems. It brings the reader to the frontiers of research in the areas mentioned above and will stimulate further research.

This book presents nine survey articles addressing topics surrounding positivity, with an emphasis on functional analysis. The book assembles a wide spectrum of research into positivity, providing up-to-date information on topics of current interest. The discussion provides insight into classical areas like spaces of continuous functions, f-algebras, and integral operators. The coverage extends is broad, including vector measures, operator spaces, ordered tensor products, and non-commutative Banach function spaces.

This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to hypergeometric functions, thus giving a broad perspective of the state of the art in the field.

This volume contains contributions written by participants of the 4th Workshop on Operator Theory in Krein Spaces and Applications, held at the TU Berlin, Germany, December 17 to 19, 2004. The workshop covered topics from spectral, perturbation, and extension theory of linear operators and relations in inner product spaces.

This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

The ISAAC Group in Pseudo-Differential Operators (IGPDO) met at the Fifth ISAAC Congress held at Universita di Catania in Italy in July, 2005. This volume consists of papers based on lectures given at the special session on pseudodifferential operators and invited papers that bear on the themes of IGPDO. Nineteen peer-reviewed papers represent modern trends in pseudo-differential operators. Diverse topics related to pseudo-differential operators are covered.

This volume is devoted to Quantum Decoherence with lectures from the Seminaire Poincare, held in November 2005 at the Institute Henri Poincare Paris. The goal of this seminar is to provide up-to-date information about general topics of great interest in physics. Both the theoretical and experimental results are covered, with some historical background. Particular care is devoted to the pedagogical nature of the presentation.

Gunter Lumer was an outstanding mathematician whose work has great influence on the research community in mathematical analysis and evolution equations. He was at the origin of the breath-taking development the theory of semigroups saw after the pioneering book of Hille and Phillips of 1957. This volume contains invited contributions presenting the state of the art of these topics and reflecting the broad interests of Gunter Lumer. 

This book collects refereed lectures and communications presented at the Free Boundary Problems Conference (FBP2005). These discuss the mathematics of a broad class of models and problems involving nonlinear partial differential equations arising in physics, engineering, biology and finance. Among other topics, the talks considered free boundary problems in biomedicine, in porous media, in thermodynamic modeling, in fluid mechanics, in image processing, in financial mathematics or in computations for inter-scale problems.

The study of poxviruses has a long and distinguished history that includes Jenner's founding work on smallpox vaccination. In the more than 200 years since that time we have seen the remarkable eradication of smallpox. It is difficult to overstate the significance of that achievement. It not only removed a disease that must rate as one of humankind's greatest scourges, but also demonstrated the effectiveness of the general principle of vacci- tion in our battles against disease. This book begins with a review of smallpox and its causative agent, Variola virus. The vaccine used in the successful smallpox eradication c- paign, vaccinia virus, is reviewed in the following chapter that describes its origin and its use as a vaccine, as well as the current understanding of the molecular biology and pathogenesis of this virus. Vaccinia virus is the most intensively studied poxvirus and the descriptions of the biology of this virus are relevant to all vertebrate poxviruses. The eradication of smallpox has drawn attention to the potential threat posed by other orthopoxviruses that infect humans, particularly Monkeypox virus. A description of this virus is given in the third chapter. Jenner's ori- nal vaccine is believed to have been Cowpox virus and this virus is reviewed in the chapter by Essbauer and Meyer. Additional chapters are devoted to each of the recognized genera of the vertebrate poxviruses and a f- ther chapter describes the subfamily of poxviruses infecting invertebrates. Together these provide a comprehensive review of the poxvirus family.

Since the discovery of chemokines and of chemokine receptors it has become evident that expression of chemokines at the site of inflammation may regulate the composition of cellular infiltrate, thereby directing the type of immune response. Recently, the molecular characterization of inherited disorders of immune system, (e.g., Wiskott-Aldrich syndrome, WHIM syndrome, leukocyte adhesion deficiency), which are characterized by cytoskeleton/adhesion defects or by altered response of chemokine receptors has contributed to clarifying the key players of immune response in normal physiology and in disease. This book, which deals with the description of the role of chemokines in immune response and underlines potential targets of therapeutical intervention, offers a series of contributions of the most challenging aspects of lymphocyte migration in homeostasis and in disease.

Chemokines play an important role in recruiting inflammatory cells into tissues in response to infection and inflammation. They also play an important role in coordinating the movement of T-cells, B-cells and dentritic cells, necessary to generate an immune response (response to injury, allergens, antigens, invading microorganisms). They selectively attract leukocytes to inflammatory foci, inducing both cell migration and activation. They are involved in various diseases, like atherosclerosis, lung and skin inflammation, multiple sclerosis, or HIV. Volume 2 of this two-volume set discusses the pathophysiology of chemokines. It is divided into two parts: a) chemokines in animal disease models, and b) chemokines as drug targets. Together with volume 1, which discusses the immunobiology of chemokines, both volumes give a comprehensive overview of chemokine biology.

This book presents the state-of-the-art in tackling differential equations using advanced methods and software tools of symbolic computation. It focuses on the symbolic-computational aspects of three kinds of fundamental problems in differential equations: transforming the equations, solving the equations, and studying the structure and properties of their solutions.

This paper is concerned with the existence and uniform decay rates of solutions of the waveequation with a sourceterm and subject to nonlinear boundary damping ? ? u ?? u =|u| u in ? ?) ? tt ? ? ? ? u=0 on ? ?) 0 (1. 1) ? ? u+g(u)=0 on ? ?) ? t 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t n where ? is a bounded domain of R ,n? 1, with a smooth boundary ? = ? ?? . 0 1 Here, ? and ? are closed and disjoint and ? represents the unit outward normal 0 1 to ?. Problems like (1. 1), more precisely, ? u ?? u =?f (u)in? ?) ? tt 0 ? ? ? ? u=0 on ? ?) 0 (1. 2) ? ? u =?g(u )?f (u)on? ?) ? t 1 1 ? ? ? ? 0 1 u(x,0) = u (x); u (x,0) = u (x),x? ? , t were widely studied in the literature, mainly when f =0,see[6,13,22]anda 1 long list of references therein. When f =0and f = 0 this kind of problem was 0 1 well studied by Lasiecka and Tataru [15] for a very general model of nonlinear functions f (s),i=0,1, but assuming that f (s)s? 0, that is, f represents, for i i i each i, an attractive force.