Download or read book Nonlinear Analysis of Physiological Data written by Holger Kantz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is more than a standard proceedings volume, although it is an almost direct result of the workshop on "Nonlinear Analysis of Physiologi cal Time Series" held in Freital near Dresden, Germany, in October 1995. The idea of the meeting was, as for previous meetings devoted to related topics, such as the conference on dynamical diseases held near Montreal in February 1994 (see CHAOS Vol. 5(1), 1995), to bring together experts on the techniques of nonlinear analysis and the theory of chaos and applicants from the most fascinating field where such methods could potentially be useful: the life sciences. The former group consisted mainly of physicists and mathe maticians, the latter was represented by physiologists and medical researchers and practitioners. Many aspects of this workshop were unusual and not previously expe rienced. Also, the hosting institution, the Max Planck Institute for Physics of Complex Systems (MPIPKS), at this time was brand new. The organiz ers' rather unconventional intention was to bring specialists of both groups together to really work together. Therefore, there was an excessive availabil ity of computers and the possibility to numerically study time series data sets practitioners had supplied from their own fields, e. g. electrocardiogram (ECG) data, electroencephalogram (EEG) data, data from the respiratory system, from human voice, human posture control, and several others. These data formed a much stronger link between theoreticians and applicants than any of the common ideas.
Download or read book Nonlinear Dynamics in Physiology written by Mark Shelhamer and published by World Scientific. This book was released on 2007 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a compilation of mathematical-computational tools that are used to analyze experimental data. The techniques presented are those that have been most widely and successfully applied to the analysis of physiological systems, and address issues such as randomness, determinism, dimension, and nonlinearity. In addition to bringing together the most useful methods, sufficient mathematical background is provided to enable non-specialists to understand and apply the computational techniques. Thus, the material will be useful to life-science investigators on several levels, from physiologists to bioengineer.Initial chapters present background material on dynamic systems, statistics, and linear system analysis. Each computational technique is demonstrated with examples drawn from physiology, and several chapters present case studies from oculomotor control, neuroscience, cardiology, psychology, and epidemiology. Throughout the text, historical notes give a sense of the development of the field and provide a perspective on how the techniques were developed and where they might lead. The overall approach is based largely on the analysis of trajectories in the state space, with emphasis on time-delay reconstruction of state-space trajectories. The goal of the book is to enable readers to apply these methods to their own research.
Download or read book Identification of Nonlinear Physiological Systems written by David T. Westwick and published by John Wiley & Sons. This book was released on 2003-08-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant advances have been made in the field since the previous classic texts were written. This text brings the available knowledge up to date. * Enables the reader to use a wide variety of nonlinear system identification techniques. * Offers a thorough treatment of the underlying theory. * Provides a MATLAB toolbox containing implementation of the latest identification methods together with an extensive set of problems using realistic data sets.
Download or read book Nonlinear Analysis for Human Movement Variability written by Nicholas Stergiou and published by CRC Press. This book was released on 2018-09-03 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: How Does the Body’s Motor Control System Deal with Repetition? While the presence of nonlinear dynamics can be explained and understood, it is difficult to be measured. A study of human movement variability with a focus on nonlinear dynamics, Nonlinear Analysis for Human Movement Variability, examines the characteristics of human movement within this framework, explores human movement in repetition, and explains how and why we analyze human movement data. It takes an in-depth look into the nonlinear dynamics of systems within and around us, investigates the temporal structure of variability, and discusses the properties of chaos and fractals as they relate to human movement. Providing a foundation for the use of nonlinear analysis and the study of movement variability in practice, the book describes the nonlinear dynamical features found in complex biological and physical systems, and introduces key concepts that help determine and identify patterns within the fluctuations of data that are repeated over time. It presents commonly used methods and novel approaches to movement analysis that reveal intriguing properties of the motor control system and introduce new ways of thinking about variability, adaptability, health, and motor learning. In addition, this text: Demonstrates how nonlinear measures can be used in a variety of different tasks and populations Presents a wide variety of nonlinear tools such as the Lyapunov exponent, surrogation, entropy, and fractal analysis Includes examples from research on how nonlinear analysis can be used to understand real-world applications Provides numerous case studies in postural control, gait, motor control, and motor development Nonlinear Analysis for Human Movement Variability advances the field of human movement variability research by dissecting human movement and studying the role of movement variability. The book proposes new ways to use nonlinear analysis and investigate the temporal structure of variability, and enables engineers, movement scientists, clinicians, and those in related disciplines to effectively apply nonlinear analysis in practice.
Download or read book Applied Nonlinear Time Series Analysis written by Michael Small and published by World Scientific. This book was released on 2005 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of photographs focusing on the fading traditions, heritage and culture in County Cork Ireland.
Download or read book Nonlinear Dynamic Modeling of Physiological Systems written by Professor Vasilis Z. Marmarelis and published by John Wiley & Sons. This book was released on 2004-09-03 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonlinearities in physiology has been hindered by the lack of effective ways to obtain nonlinear dynamic models from stimulus-response data in a practical context. A considerable body of knowledge has accumulated over the last thirty years in this area of research. This book summarizes that progress, and details the most recent methodologies that offer practical solutions to this daunting problem. Implementation and application are discussed, and examples are provided using both synthetic and actual experimental data. This essential study of nonlinearities in physiology apprises researchers and students of the latest findings and techniques in the field.
Download or read book Past and Present Variability of the Solar terrestrial System written by Giuliana Cini Castagnoli and published by IOS Press. This book was released on 1997 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: The global climate of the Earth has significantly varied over the last millennia. On a regional scale, the climate has varied and does presently vary on many different time scales, leading to a continuously changing pattern of temperatures, humidity, precipitation, with important effects on the whole terrestrial biosphere. Physicist are interested in understanding the mechanism at work by gathering data and properly analysing them, by building theoretical models and, if possible, making predictions on the future evolution of the system. Along these lines, an important question is to understand the role of the solar forcing, in order to unravel the internal mechanisms of variability of the Earth's climate from the variable forcing of the Sun. On the other hand, one can learn about the past solar variability by reading into the terrestrial archives that provide us with proxy data on the history of both the Sun and the climate. Thus, realizing that the Sun and the Earth form a closely coupled system, where the variable properties of the former may affect in many subtle ways the behaviour of the latter, is an important step toward the understanding of both.This book is explicitly devoted to these issues. First, it is important to obtain reliable data from terrestrial archives, and to properly date the records that have been measured. The first part of the book is devoted to these crucial aspects, dealing with various types of proxy data and with the difficult issue of the dating of the records. Once obtained, the data has to be interpreted. This process nowadays relies upon a plethora of data analysis methods that explicitly take into account the nonlinear nature of the system and try to elucidate the dynamics and the main processes active in the measured system. The second part of the book is devoted to the issue of data analysis and prediction. Finally, once the data has been interpreted and analyzed, theoretical models have to be built describing the dynamics of the system considered. Due to the extreme complexity of the Sun/Earth system (as well as of its components, the Sun itself and the Earth's climate), drastic simplifications in the modelling efforts have to be accepted and one has to bear in mind that the models probably are nothing more than a pale image of the real dynamics. The third part of the book is devoted to the theoretical and numerical modelling of the solar and climatic variability, and of their complex interactions. This volume gives an up-to-date view of the present state of this field.
Download or read book Dependent Data in Social Sciences Research written by Mark Stemmler and published by Springer. This book was released on 2015-10-19 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents contributions on handling data in which the postulate of independence in the data matrix is violated. When this postulate is violated and when the methods assuming independence are still applied, the estimated parameters are likely to be biased, and statistical decisions are very likely to be incorrect. Problems associated with dependence in data have been known for a long time, and led to the development of tailored methods for the analysis of dependent data in various areas of statistical analysis. These methods include, for example, methods for the analysis of longitudinal data, corrections for dependency, and corrections for degrees of freedom. This volume contains the following five sections: growth curve modeling, directional dependence, dyadic data modeling, item response modeling (IRT), and other methods for the analysis of dependent data (e.g., approaches for modeling cross-section dependence, multidimensional scaling techniques, and mixed models). Researchers and graduate students in the social and behavioral sciences, education, econometrics, and medicine will find this up-to-date overview of modern statistical approaches for dealing with problems related to dependent data particularly useful.
Download or read book Nonlinear Dynamics in Physiology and Medicine written by Anne Beuter and published by Springer Science & Business Media. This book was released on 2013-06-05 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Nonlinearity in Living Systems Theoretical and Practical Perspectives on Metrics of Physiological Signal Complexity written by Sladjana Spasić and published by Frontiers Media SA. This book was released on 2019-06-28 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biological basis of physiological signals is incredibly complex. While many types of research certainly appreciate molecular, cellular and systems approach to unravel overall biological complexity, in the recent decades the interest for mathematical and computational characterization of structural and functional basis underlying biological phenomena gain wide popularity among scientists. Nowadays, we witnessed wide range applications of nonlinear quantitative analysis that produced measures such as fractal dimension, power-law scaling, Hurst exponent, Lyapunov exponent, approximate entropy, sample entropy, Lempel–Ziv complexity, as well as other metrics for predictions of onset and progression of many pathological conditions, especially in the central nervous systems (CNS). In this Research Topic, we seek to bring together the recent practical and theoretical advances in the development and application of nonlinear methods or narrower fractal-based methods for characterizing the complex physiological systems at multiple levels of the organization. We will discuss the use of various complexity measures and appropriate parameters for characterizing the variety of physiological signals up to the systems level. There are multiple aims in this topic. The recent advancement in the application of nonlinear methods for both normal and pathological physiological conditions is the first. The second aim is to emphasize the more recent successful attempt to apply these methods across animal species. Finally, a comprehensive understanding of advantages and disadvantages of each method, especially between its mathematical assumptions and real-world applicability, can help to find out what is at stake regarding the above aims and to direct us toward the more fruitful application of nonlinear measures and statistics in physiology and biology in general.
Download or read book Analysis of Neurophysiological Brain Functioning written by Christian Uhl and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of neurophysiological brain function is a highly interdisciplinary field of research. In addition to the traditional areas of psychology and neurobiology, various other scientific disciplines, such as physics, mathematics, computer science, and engineering, are involved. The book reviews a wide spectrum of model-based analyses of neurophysiological brain function. In the first part, physical and physiological models and synergetic concepts are presented. The second part focuses on analysis methods and their applications to EEG/MEG data sets. It reviews methods of source localization, the investigation of synchronization processes, and spatio-temporal modeling based on dynamical systems theory. The book includes contributions by well-known scientists such as Hermann Haken, Scott Kelso and Paul Nunez, among others. It is written for students and scientists from all the above-mentioned fields.
Download or read book Nonlinear Dynamics written by Richard A. Heath and published by Psychology Press. This book was released on 2014-04-04 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Additional Resource Materials Human behavior would not be interesting to us if it remained the same from one moment to the next. Moreover, we tend to be sensitive to changes in people's behavior, especially when such change impacts on our own, and other's, behavior. This book describes a variety of techniques for investigating change in behavior. It employs conventional time series methods, as well as recently developed methodology using nonlinear dynamics, including chaos, a term that is not easy to define, nor to confirm. Although nonlinear methods are being used more frequently in psychology, a comprehensive coverage of methods, theory and applications, with a particular focus on human behavior, is needed. Between these covers, the reader is led through various procedures for linear and nonlinear time series analysis, including some novel procedures that allow subtle temporal aspects of human cognition to be detected. Analyses of reaction times, heart-rate, psychomotor skill, decision making, and EEG are supplemented by a contemporary review of recent dynamical research in developmental psychology, psychopathology, and human cognitive processes. A consideration of nonlinear dynamics assists our understanding of deep issues such as: Why is our short-term memory capacity limited? Why do chronic disorders, and also cognitive development, progress through stage-like transitions? Why do people make irrational decisions? This book will be of particular interest to researchers, practitioners, and advanced students in a variety of areas in psychology, particularly in human experimental and physiological psychology. Data analyses are performed using the latest nonlinear dynamics computer packages. A comprehensive WWW resource of software and supplementary information is provided to assist the reader's understanding of the novel, and potentially revolutionary, procedures described in the book.
Download or read book The 5th Experimental Chaos Conference written by Mingzhou Ding and published by World Scientific. This book was released on 2001-04-02 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion. The proceedings present discoveries of chaotic behavior, explanation of nonlinear phenomena in the laboratory, and applications of nonlinear and chaotic effects to devices and techniques for improving performance and surmounting technical obstacles. Experimental work is presented on chaos in semiconductor superlattices, spatiotemporal chaos in magnetic materials, instabilities in magnetic fluids, bifurcations of hexagonal patterns in lasers, and discrete rotating waves. New phenomena are exhibited on amplitude death in coupled oscillators, vortex crystals, wakes in soap films, chaotic dynamics of ocean waves, and microscopic chaos. Applications of chaotic dynamics are offered in the areas of chaotic pulse trains in digital communications, detection of changes in EEGs, detection of unstable periodic orbits in noisy data, cellular automata and warfare, detection of n:m phase synchronization, methods in acoustic chaos, chaos in the machine tool-cutting process, and a nonlinear airfoil. The broad range of topics and fields touches on a wide variety of systems whose behavior is now better understood and applied through the use of chaotic dynamics.
Download or read book Proceedings of the 5th Experimental Chaos Conference written by Mingzhou Ding and published by World Scientific. This book was released on 2001 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion. The proceedings present discoveries of chaotic behavior, explanation of nonlinear phenomena in the laboratory, and applications of nonlinear and chaotic effects to devices and techniques for improving performance and surmounting technical obstacles. Experimental work is presented on chaos in semiconductor superlattices, spatiotemporal chaos in magnetic materials, instabilities in magnetic fluids, bifurcations of hexagonal patterns in lasers, and discrete rotating waves. New phenomena are exhibited on amplitude death in coupled oscillators, vortex crystals, wakes in soap films, chaotic dynamics of ocean waves, and microscopic chaos. Applications of chaotic dynamics are offered in the areas of chaotic pulse trains in digital communications, detection of changes in EEGs, detection of unstable periodic orbits in noisy data, cellular automata and warfare, detection of n: m phase synchronization, methods in acoustic chaos, chaos in the machine tool-cutting process, and a nonlinear airfoil. The broad range of topics and fields touches on a wide variety of systems whose behavior is now better understood and applied through the use of chaotic dynamics. Contents: Condensed Matter: Self-Organized Quasiparticles and Other Patterns in Planar Gas-Discharge Systems (H-G Purwins et al.); Controllable Bifurcation Processes in Undoped, Photoexcited GaAs/A1As Superlattices (K J Luo et al.); Control: Analyzing Time-Delay Feedback Systems (R Hegger et al.); Chaos Control in Fast Systems Using Occasional Feedback (N J Corron et al.); Electronics: Characteristic Relations of Type-III Intermittency in an Electronic Circuit (C-M Kim et al.); Chaotic Pulse Trains in Digital Communications (M Sushchik et al.); Spatiotemporal: Continuum Coupled Maps: A Model for Patterns in Vibrated Sand (E Ott & S C Venkataramani); Pattern Control with Spatial Perturbations in a Wide Aperture Laser (R Meucci et al.); Biology: Robust Detection of Dynamical Change in Scalp Egg (P C Gailey et al.); Detection of Unstable Periodic Orbits in Noisy Data, and Choosing the Right Surrogates (K Dolan et al.); Synchronization: Experimental Manifestations of Phase and Lag Synchronizations in Coupled Chaotic Systems (Y-C Lai et al.); Amplitude Death in Coupled Opto-Thermal Oscillators (R Herrero et al.); Banquet Talk: Case Study in OC Experimental ComplexityOCO OCo An Artificial-Life Approach to Modeling Warfare (A Ilachinski); Optics: Adaptive Control of Strong Chaos (F T Arecchi); Optical Implementation of Chaotic Maps with Mach-Zehnder Interferometers (K Umeno et al.); Quantum Chaos: Methods in Acoustic Chaos (C Ellegaard & K Schaadt); Mechanics: Stability Transitions in a Nonlinear Airfoil (L Virgin et al.); Ray Chaos in Quadratic Index Media: A Non-Mechanical Application of Mechanics (R Tagg & M Asadi-Zeydabadi); Hydrodynamics: Dynamics, Statistics and Vortex Crystals in the Relaxation of 2D Turbulence (C F Driscoll et al.); Growth of Disordered Features in a Two-Dimensional Cylinder Wake (P Vorobieff & R E Ecke); General: Experimental Evidence for Microscopic Chaos (M E Briggs et al.); Magnetic Resonance Imaging of Structure and Coarsening in Three-Dimensional Foams (B A Prause & J A Glazier); and other papers. Readership: Nonlinear and computer scientists, physicists, biomedical/chemical/mechanical engineers, as well as researchers and graduate students in the field of chaos."
Download or read book Nonlinear Brain Dynamics written by Cornelis J. Stam and published by Nova Publishers. This book was released on 2006 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the beginning of the 21st century, understanding the brain has become one of the final frontiers of science. Hailed as the 'most complex object in the universe' the brain still defies a complete understanding of its workings, in particular in relation to consciousness and higher brain functions. Despite enormous scientific efforts, the question how the 'mere matter' of 1011 interacting nerve cells can give rise to the inner world of our subjective feelings still remains an enigma. However, in contrast to a few decades ago, when respectable neuroscience was not expected to deal with such questions, the search for brain/mind relationships has now become the focus of intense research. The central idea of this book: to understand the brain, we need to understand its dynamics.
Download or read book Applied Multiple Regression Correlation Analysis for the Behavioral Sciences written by Jacob Cohen and published by Routledge. This book was released on 2013-06-17 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic text on multiple regression is noted for its nonmathematical, applied, and data-analytic approach. Readers profit from its verbal-conceptual exposition and frequent use of examples. The applied emphasis provides clear illustrations of the principles and provides worked examples of the types of applications that are possible. Researchers learn how to specify regression models that directly address their research questions. An overview of the fundamental ideas of multiple regression and a review of bivariate correlation and regression and other elementary statistical concepts provide a strong foundation for understanding the rest of the text. The third edition features an increased emphasis on graphics and the use of confidence intervals and effect size measures, and an accompanying website with data for most of the numerical examples along with the computer code for SPSS, SAS, and SYSTAT, at www.psypress.com/9780805822236 . Applied Multiple Regression serves as both a textbook for graduate students and as a reference tool for researchers in psychology, education, health sciences, communications, business, sociology, political science, anthropology, and economics. An introductory knowledge of statistics is required. Self-standing chapters minimize the need for researchers to refer to previous chapters.
Download or read book Nonlinear Time Series Analysis written by Holger Kantz and published by Cambridge University Press. This book was released on 2004 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising mathematical structures. In the applied sciences, deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which do not seem to be inherently stochastic. The most direct link between chaos theory and the real world is the analysis of time series from real systems in terms of nonlinear dynamics. Experimental technique and data analysis have seen such dramatic progress that, by now, most fundamental properties of nonlinear dynamical systems have been observed in the laboratory. Great efforts are being made to exploit ideas from chaos theory wherever the data displays more structure than can be captured by traditional methods. Problems of this kind are typical in biology and physiology but also in geophysics, economics, and many other sciences.
