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This book presents some of the state-of-the-art methods for the study of the gastrointestinal variables affecting oral drug absorption. Practical applications of new in vitro release/dissolution methods are presented, as well as in vitro permeability studies to explore segmental differences. The application of MRI methods for the study of colon physiology is presented to illustrate its potential applications in controlled release dosage form design. Some examples of successful in vitro–in vivo correlations show how implementing the gastrointestinal physiological variables in the new in vitro methods can improve the predictions of in vivo drug product performance. The book contains an updated review of the experimental, computational, and in vivo approaches for measuring intestinal permeability.
The reader will find in this volume the Proceedings of the NATO Advanced Study Institute held in Cortina d'Ampezzo, Italy between August 3 and August 13, 1987 under the title "Long Term Dynamical Behaviour of Natural and Artificial N-body Systems". The Institute was the latest in a series held in 1972, 1975, 1978, 1981, 1984 in dynamical astronomy, theoretical mechanics and celestial mechanics under the Directorship of Professor Victor Szebehely. These previous institutes, held in high esteem by the international community of research workers, have resulted in a series of well-received and valuable Proceedings. In correspondence with Professor Szebehely and in long discussions with him in Co...
This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigated in chapter 3, while chapter 4 is devoted to the stability of fractional standard and positive linea...
Rechtsbehelfe, die unabhängig von der Verletzung eines subjektiven Rechts erhoben werden können, erschüttern das bewährte deutsche Individualrechtsschutzsystem, in dem grundsätzlich nur zur gerichtlichen Klage befugt ist, wer eine Verletzung eigener Rechte geltend machen kann. Ganz entscheidend verantwortlich für diese überindividuellen Klagebefugnisse ist das Gemeinschaftsrecht, das die EU-Mitgliedstaaten im Umwelt-, Sozial- und Verbraucherschutzrecht zur Einführung überindividueller Rechtsbehelfe verpflichtet. Sabine Schlacke untersucht neben dem Umweltrecht als Referenzgebiet sämtliche überindividuellen Klagebefugnisse im öffentlichen Recht sowie vergleichbare zivilrechtliche Regelungen. Sie zeigt, dass überindividuellen Klagebefugnissen keine punktuelle oder bereichsspezifische, sondern eine grundlegende Bedeutung für die deutsche und europäische Rechtsordnung zukommt.
Ever since its introduction around 1960 by Kirillov, the orbit method has played a major role in representation theory of Lie groups and Lie algebras. This book contains the proceedings of a conference held from August 29 to September 2, 1988, at the University of Copenhagen, about "the orbit method in representation theory." It contains ten articles, most of which are original research papers, by well-known mathematicians in the field, and it reflects the fact that the orbit method plays an important role in the representation theory of semisimple Lie groups, solvable Lie groups, and even more general Lie groups, and also in the theory of enveloping algebras.
The five centuries of the 'Abbasid period (eighth to thirteenth centuries AD) were the golden age of Arabic literature. They saw the appearance not only of poetry and belles-lettres (which are covered in a previous volume), but also of an extensive body of writings concerned with subjects ranging from theology and law to history and the natural sciences. This volume of The Cambridge History of Arabic Literature surveys the most important of these writings, including the literature of Sunnism and Shi'ism, Arabic philosophy, Sufism, Islamic law, grammar, lexicography, administration, historiography, mathematics, astronomy, astrology, geography, alchemy and medicine. It contains separate chapters on six of the greatest scholars of the Middle Ages, as well as on the Arabic literature of the Christians and Jews who lived under the rule of the 'Abbasid caliphate, and includes a study of one of the great cultural movements of the period, the translations from Greek into Arabic.
This book constitutes the refereed proceedings of the 15th International Conference on Discovery Science, DS 2012, held in Lyon, France, in October 2012. The 22 papers presented in this volume were carefully reviewed and selected from 46 submissions. The field of discovery science aims at inducing and validating new scientific hypotheses from data. The scope of this conference includes the development and analysis of methods for automatic scientific knowledge discovery, machine learning, intelligent data analysis, theory of learning, tools for supporting the human process of discovery in science, as well as their application to knowledge discovery.
Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.
The study of random growth models began in probability theory about 50 years ago, and today this area occupies a central place in the subject. The considerable challenges posed by these models have spurred the development of innovative probability theory and opened up connections with several other parts of mathematics, such as partial differential equations, integrable systems, and combinatorics. These models also have applications to fields such as computer science, biology, and physics. This volume is based on lectures delivered at the 2017 AMS Short Course “Random Growth Models”, held January 2–3, 2017 in Atlanta, GA. The articles in this book give an introduction to the most-studied models; namely, first- and last-passage percolation, the Eden model of cell growth, and particle systems, focusing on the main research questions and leading up to the celebrated Kardar-Parisi-Zhang equation. Topics covered include asymptotic properties of infection times, limiting shape results, fluctuation bounds, and geometrical properties of geodesics, which are optimal paths for growth.