In an important new contribution to the literature of chaos, two distinguished researchers in the field of physiology probe central theoretical questions about physiological rhythms. Topics discussed include: How are rhythms generated? How do they start and stop? What are the effects of perturbation of the rhythms? How are oscillations organized in space? Leon Glass and Michael Mackey address an audience of biological scientists, physicians, physical scientists, and mathematicians, but the work assumes no knowledge of advanced mathematics. Variation of rhythms outside normal limits, or appearance of new rhythms where none existed previously, are associated with disease. One of the most interesting features of the book is that it makes a start at explaining "dynamical diseases" that are not the result of infection by pathogens but that stem from abnormalities in the timing of essential functions. From Clocks to Chaos provides a firm foundation for understanding dynamic processes in physiology.
This innovative book brings together two disciplines OCo science and art OCo and enables readers to produce their own computer-generated displays. 44 colour plates and 200 black and white pictures showcase the diagrams that can easily be reproduced using the accompanying CD-ROM. It is possible to create diagrams that indicate predictability or unpredictability of physical, chemical, ecological, mathematical or economic systems. Grey levels and colours indicate the stability of a predictable system, or the extent of unpredictability. In addition, diagrams can be drawn purely for their aesthetic value. Directed both at scientists and laymen, technicians and artists, this combination of book and CD-ROM is the first of its kind. Sample Chapter(s). Chapter 1: The Useful and the Beautiful (63 KB). Download Images as Wallpapers: . Contents: The Useful and the Beautiful; The OC Object Trouv(r) OCO in Mathematics; The Mondrian Experiments; An Anecdotal Report on Chaos; A Case Submitted to Court; Calculations of the OC Charts for Prediction and ChanceOCO (-Diagrams); The Significance of Discrete Maps; Maps with Scientific Applications; Maps of Generic Significance; Are the -Diagrams Fractals?; What Can We Learn from -Diagrams?; Appendices: Informal Glossary; Abbreviations; Instructions for the CD-ROM (-Diagrams on Your PC). Readership: Laymen, scientists, computer technicians and computer artists. Suitable for use as an undergraduate textbook in computational science or in computer ar
This book provides the reader with a contemporary and comprehensive overview about the molecular, cellular and system-wide principles of circadian clock regulation. Emphasis is placed on the importance of circadian clocks for the timing of therapeutic interventions.
An introduction to the mathematical, computational, and analytical techniques used for modeling biological rhythms, presenting tools from many disciplines and example applications. All areas of biology and medicine contain rhythms, and these behaviors are best understood through mathematical tools and techniques. This book offers a survey of mathematical, computational, and analytical techniques used for modeling biological rhythms, gathering these methods for the first time in one volume. Drawing on material from such disciplines as mathematical biology, nonlinear dynamics, physics, statistics, and engineering, it presents practical advice and techniques for studying biological rhythms, with a common language. The chapters proceed with increasing mathematical abstraction. Part I, on models, highlights the implicit assumptions and common pitfalls of modeling, and is accessible to readers with basic knowledge of differential equations and linear algebra. Part II, on behaviors, focuses on simpler models, describing common properties of biological rhythms that range from the firing properties of squid giant axon to human circadian rhythms. Part III, on mathematical techniques, guides readers who have specific models or goals in mind. Sections on “frontiers” present the latest research; “theory” sections present interesting mathematical results using more accessible approaches than can be found elsewhere. Each chapter offers exercises. Commented MATLAB code is provided to help readers get practical experience. The book, by an expert in the field, can be used as a textbook for undergraduate courses in mathematical biology or graduate courses in modeling biological rhythms and as a reference for researchers.
Like speech, the species-specific vocalizations or calls of non-human primates mediate social interactions, convey important emotional information, and in some cases refer to objects and events in the caller's environment. These functional similarities suggest that the selective pressures which shaped primate vocal communication are similar to thos
This volume contains the contributions to a Satellite Symposium of the XXXI In ternational Congress of Physiological Sciences in Espoo, Helsinki, Finland, July 15-17,1989. The general purpose of this Symposium was to bring together specialists from different fields of physiology who work on systems that are closely linked function ally with regard to behavioral adaptation. In a certain sense it represents a contin uation of two former books on the Central Interaction Between Respiratory and Cardiovascular Control Systems 1 and on Neurovegetative Control Systems: Basic 2 Function, Integration and Disorders , but explicitly includes the relationship with motor control. Since the first book appeared, much has been achieved in the field of physiology of respiratory, cardiovascular, and somatomotor control. It is not intended that this book compete with other publications from more specialized meetings which deal with the most recent findings in a particular field of research, and rightly so.
This book is intended as a text for a first course on creating and analyzing computer simulation models of biological systems. The expected audience for this book are students wishing to use dynamic models to interpret real data mueh as they would use standard statistical techniques. It is meant to provide both the essential principles as well as the details and equa tions applicable to a few particular systems and subdisciplines. Biological systems, however, encompass a vast, diverse array of topics and problems. This book discusses only a select number of these that I have found to be useful and interesting to biologists just beginning their appreciation of computer simulation. The examples chosen span classical mathematical models of well-studied systems to state-of-the-art topics such as cellular automata and artificial life. I have stressed the relationship between the models and the biology over mathematical analysis in order to give the reader a sense that mathematical models really are useful to biologists. In this light, I have sought examples that address fundamental and, I think, interesting biological questions. Almost all of the models are directly COIIl pared to quantitative data to provide at least a partial demonstration that some biological models can accurately predict.
Comprehensive Human Physiology is a significantly important publication on physiology, presenting state-of-the-art knowledge about both the molecular mechanisms and the integrative regulation of body functions. This is the first time that such a broad range of perspectives on physiology have been combined to provide a unified overview of the field. This groundbreaking two-volume set reveals human physiology to be a highly dynamic science rooted in the ever-continuing process of learning more about life. Each chapter contains a wealth of original data, clear illustrations, and extensive references, making this a valuable and easy-to-use reference. This is the quintessential reference work in the fields of physiology and pathophysiology, essential reading for researchers, lecturers and advanced students.
The book outlines a pathway to the development of fusion of electromagnetic resonance and artificial intelligence which will dominate the world of communication engineering. Electromagnetic resonance is fundamental to all biomaterials. The authors explore the peculiarities of this typical resonance behaviour in the literatures and provide the key points where the research should direct. Biological antennas are inspiring designing of several electromagnetic devices. From biomimetic engineering to humanoid bots a revolution is undergoing. Authors include entire development in the form of a book along with their contribution to this field.
This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems. Hence, for a trajectory curve, an integral of any n-dimensional dynamical system as a curve in Euclidean n-space, the curvature of the trajectory OCo or the flow OCo may be analytically computed. Then, the location of the points where the curvature of the flow vanishes defines a manifold called flow curvature manifold. Such a manifold being defined from the time derivatives of the velocity vector field, contains information about the dynamics of the system, hence identifying the main features of the system such as fixed points and their stability, local bifurcations of codimension one, center manifold equation, normal forms, linear invariant manifolds (straight lines, planes, hyperplanes). In the case of singularly perturbed systems or slow-fast dynamical systems, the flow curvature manifold directly provides the slow invariant manifold analytical equation associated with such systems. Also, starting from the flow curvature manifold, it will be demonstrated how to find again the corresponding dynamical system, thus solving the inverse problem.