The analysis, processing, evolution, optimization and/or regulation, and control of shapes and images appear naturally in engineering (shape optimization, image processing, visual control), numerical analysis (interval analysis), physics (front propagation), biological morphogenesis, population dynamics (migrations), and dynamic economic theory. These problems are currently studied with tools forged out of differential geometry and functional analysis, thus requiring shapes and images to be smooth. However, shapes and images are basically sets, most often not smooth. J.-P. Aubin thus constructs another vision, where shapes and images are just any compact set. Hence their evolution -- which requires a kind of differential calculus -- must be studied in the metric space of compact subsets. Despite the loss of linearity, one can transfer most of the basic results of differential calculus and differential equations in vector spaces to mutational calculus and mutational equations in any mutational space, including naturally the space of nonempty compact subsets. "Mutational and Morphological Analysis" offers a structure that embraces and integrates the various approaches, including shape optimization and mathematical morphology. Scientists and graduate students will find here other powerful mathematical tools for studying problems dealing with shapes and images arising in so many fields.

Ordinary differential equations have been extended to evolution equations in Banach spaces. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals.

The Carbohydrate Bioengineering Meeting held in Elsinore, Denmark, April 23-26, 1995, gathered 230 scientists, mostly from Europe, with interest in carbohydrate analysis and structure; carbohydrates in medicine and glycopathology; structure, function, application, and protein engineering of carbohydrate active enzymes; oligo- and polysaccharides of industrial interest; and production of carbohydrate containing new materials. The first chapters address glycoconjugates as modulatory and recognition molecules, structure determination using NMR and mass spectrometry, and microdialysis-chip enzyme-based sensors. Active site mutations coupled with crystal structures and synthetic substrate analogue interactions as well as new three-dimensional structures and binding domains for biotechnological applications are included in the chapters. Carbohydrate active enzymes turned out to be a predominant topic. The rapid development in glycobiology and glycotechnology has resulted in an enormous increase in our knowledge on the structure conversion, and application of carbohydrates in industry and medicine.

A current review of basic research on Rickettsiales biology and pathogenesis in one comprehensive volume. • Details the scientific knowledge about how these obligate intracellular bacteria invade, survive and replicate inside eukaryotic cells. • Describes the spectrum of disease caused by an infection and the role of vectors in transmission. • Discusses protective and pathologic immune responses and establishment of persistent infection. • Describes the latest developments including genomics and progress in vaccine development. • Serves as a significant research book for scientists, physicians, medical students, public health professionals, epidemiologists, biocomputational scientists and government policy makers.

"An elegantly written, introductory overview of the field, with a near perfect choice of what to include and what not, enlivened in places by historical tidbits and made eminently readable throughout by crisp language. It has succeeded in doing the near-impossible—it has made a subject which is generally inhospitable to nonspecialists because of its ‘family jargon’ appear nonintimidating even to a beginning graduate student." —The Journal of the Indian Institute of Science "The book under review gives a comprehensive treatment of basically everything in mathematics that can be named multivalued/set-valued analysis. ...The book is highly recommended for mathematicians and graduate students who will find here a very comprehensive treatment of set-valued analysis." —Mathematical Reviews "This book provides a thorough introduction to multivalued or set-valued analysis... The style is lively and vigorous, the relevant historical comments and suggestive overviews increase the interest for this work...Graduate students and mathematicians of every persuasion will welcome this unparalleled guide to set-valued analysis." —Zentralblatt Math

Ordinary differential equations play a central role in science and have been extended to evolution equations in Banach spaces. For many applications, however, it is difficult to specify a suitable normed vector space. Shapes without a priori restrictions, for example, do not have an obvious linear structure. This book generalizes ordinary differential equations beyond the borders of vector spaces with a focus on the well-posed Cauchy problem in finite time intervals. Here are some of the examples: - Feedback evolutions of compact subsets of the Euclidean space - Birth-and-growth processes of random sets (not necessarily convex) - Semilinear evolution equations - Nonlocal parabolic differential equations - Nonlinear transport equations for Radon measures - A structured population model - Stochastic differential equations with nonlocal sample dependence and how they can be coupled in systems immediately - due to the joint framework of Mutational Analysis. Finally, the book offers new tools for modelling.