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Complex Time-Delay Systems
One of the major contemporary challenges in both physical and social sciences is modeling, analyzing, and understanding the self-organization, evolution, behavior, and eventual decay of complex dynamical systems ranging from cell assemblies to the human brain to animal societies. The multi-faceted problems in this domain require a wide range of methods from various scienti?c disciplines. There is no question that the inclusion of time delays in complex system models considerably enriches the challenges presented by the problems. Although this inclusion often becomes inevitable as real-world applications demand more and more realistic m- els, the role of time delays in the context of complex ...
Biochemical Actions of Hormones V11
Biochemical Actions of Hormones, Volume XI is a 12-chapter text that covers the general and specific biochemical aspects of polypeptide and steroid hormones. The introductory chapters deal with the biochemical actions of the leukotrienes, the cyclic adenosine monophosphate, and the gonadotropin releasing hormone. The next chapters highlight detailed contributions on polypeptide hormone research. These chapters specifically tackle the insulin actions and the role of insulin in mammary gland development. The last series of chapters on steroid hormones includes X-ray crystallographic analysis of steroid structures and the significance of these studies on steroid-receptor interactions. These chapters also explore the analysis of the estrogen receptor with monoclonal antibodies; the role of estrogen receptor in responsive mammalian cells; the use of peroxidase as a marker of catechol estrogen action; and the activation and stabilization of the glucocorticoid receptor. This volume will be of great benefit to biochemists, biologists, endocrinologists, and researchers who are interested in the hormonal action and regulation.
Population Sciences
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Chemical Graph Theory
This volume presents the fundamentals of graph theory and then goes on to discuss specific chemical applications. Chapter 1 provides a historical setting for the current upsurge of interest in chemical graph theory. Chapter 2 gives a full background of the basic ideas and mathematical formalism of graph theory and includes such chemically relevant notions as connectedness, graph matrix representations, metric properties, symmetry and operations on graphs. This is followed by a discussion on chemical nomenclature and the trends in its rationalization by using graph theory, which has important implications for the storage and retrieval of chemical information. This volume also contains a detailed discussion of the relevance of graph-theoretical polynomials; it describes methodologies for the enumeration of isomers, incorporating the classical Polya method, as well as more recent approaches.
Nonlinear Oscillations in Biology and Chemistry
This volume contains the proceedings of a meeting entitled 'Nonlinear Oscillations in Biology and Chemistry', which was held at the University of Utah May 9-11,1985. The papers fall into four major categories: (i) those that deal with biological problems, particularly problems arising in cell biology, (ii) those that deal with chemical systems, (iii) those that treat problems which arise in neurophysiology, and (iv), those whose primary emphasis is on more general models and the mathematical techniques involved in their analysis. Except for the paper by Auchmuty, all are based on talks given at the meeting. The diversity of papers gives some indication of the scope of the meeting, but the pr...
Nonlinear Dynamics in Physiology and Medicine
Introduces concepts from nonlinear dynamics using an almost exclusively biological setting for motivation, and includes examples of how these concepts are used in experimental investigations of biological and physiological systems. One novel feature of the book is the inclusion of classroom-tested computer exercises. This book will appeal to students and researchers working in the natural and physical sciences wanting to learn about physiological systems from a mathematical perspective.
Dynamics of Nonlinear Time-Delay Systems
Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. Thi...
