Nonlinear Dynamics In Physiology

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Nonlinear Dynamics in Physiology and Medicine

Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe
Nonlinear Dynamics in Physiology and Medicine Book PDF

Author : Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe
Publisher : Springer Science & Business Media
Page : 452 pages
File Size : 54,9 Mb
Release : 2013-06-05
Category : Mathematics
ISBN : 9780387216409

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Nonlinear Dynamics in Physiology and Medicine by Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe Pdf

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.

Nonlinear Dynamics in Physiology

Mark Shelhamer
Nonlinear Dynamics in Physiology Book PDF

Author : Mark Shelhamer
Publisher : World Scientific
Page : 367 pages
File Size : 45,7 Mb
Release : 2007
Category : Science
ISBN : 9789812772794

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Nonlinear Dynamics in Physiology by Mark Shelhamer Pdf

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.

Nonlinear Dynamics in Physiology

Mark Shelhamer
Nonlinear Dynamics in Physiology Book PDF

Author : Mark Shelhamer
Publisher : World Scientific
Page : 367 pages
File Size : 49,9 Mb
Release : 2007
Category : Science
ISBN : 9789812700292

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Nonlinear Dynamics in Physiology by Mark Shelhamer Pdf

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.

Nonlinear Dynamic Modeling of Physiological Systems

Professor Vasilis Z. Marmarelis
Nonlinear Dynamic Modeling of Physiological Systems Book PDF

Author : Professor Vasilis Z. Marmarelis
Publisher : John Wiley & Sons
Page : 564 pages
File Size : 55,7 Mb
Release : 2004-09-03
Category : Medical
ISBN : 0471469602

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Nonlinear Dynamic Modeling of Physiological Systems by Professor Vasilis Z. Marmarelis Pdf

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.

Fractal Physiology and Chaos in Medicine

Bruce J. West
Fractal Physiology and Chaos in Medicine Book PDF

Author : Bruce J. West
Publisher : World Scientific
Page : 345 pages
File Size : 44,7 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814417792

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Fractal Physiology and Chaos in Medicine by Bruce J. West Pdf

This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.

Understanding Nonlinear Dynamics

Daniel Kaplan,Leon Glass
Understanding Nonlinear Dynamics Book PDF

Author : Daniel Kaplan,Leon Glass
Publisher : Springer Science & Business Media
Page : 438 pages
File Size : 51,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461208235

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Understanding Nonlinear Dynamics by Daniel Kaplan,Leon Glass Pdf

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics ( TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. About the Authors Daniel Kaplan specializes in the analysis of data using techniques motivated by nonlinear dynamics. His primary interest is in the interpretation of irregular physiological rhythms, but the methods he has developed have been used in geo physics, economics, marine ecology, and other fields. He joined McGill in 1991, after receiving his Ph.D from Harvard University and working at MIT. His un dergraduate studies were completed at Swarthmore College. He has worked with several instrumentation companies to develop novel types of medical monitors.

Identification of Nonlinear Physiological Systems

David T. Westwick,Robert E. Kearney
Identification of Nonlinear Physiological Systems Book PDF

Author : David T. Westwick,Robert E. Kearney
Publisher : John Wiley & Sons
Page : 284 pages
File Size : 40,8 Mb
Release : 2003-08-28
Category : Technology & Engineering
ISBN : 0471274569

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Identification of Nonlinear Physiological Systems by David T. Westwick,Robert E. Kearney Pdf

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.

Nonlinear Dynamics in Computational Neuroscience

Fernando Corinto,Alessandro Torcini
Nonlinear Dynamics in Computational Neuroscience Book PDF

Author : Fernando Corinto,Alessandro Torcini
Publisher : Springer
Page : 141 pages
File Size : 40,8 Mb
Release : 2018-06-19
Category : Technology & Engineering
ISBN : 9783319710488

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Nonlinear Dynamics in Computational Neuroscience by Fernando Corinto,Alessandro Torcini Pdf

This book provides an essential overview of computational neuroscience. It addresses a broad range of aspects, from physiology to nonlinear dynamical approaches to understanding neural computation, and from the simulation of brain circuits to the development of engineering devices and platforms for neuromorphic computation. Written by leading experts in such diverse fields as neuroscience, physics, psychology, neural engineering, cognitive science and applied mathematics, the book reflects the remarkable advances that have been made in the field of computational neuroscience, an emerging discipline devoted to the study of brain functions in terms of the information-processing properties of the structures forming the nervous system. The contents build on the workshop “Nonlinear Dynamics in Computational Neuroscience: from Physics and Biology to ICT,” which was held in Torino, Italy in September 2015.

Applied Nonlinear Time Series Analysis

Michael Small
Applied Nonlinear Time Series Analysis Book PDF

Author : Michael Small
Publisher : World Scientific
Page : 262 pages
File Size : 51,5 Mb
Release : 2005
Category : Mathematics
ISBN : 9789812561176

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Applied Nonlinear Time Series Analysis by Michael Small Pdf

A collection of photographs focusing on the fading traditions, heritage and culture in County Cork Ireland.

Fractal Physiology

James B Bassingthwaighte,Larry S Liebovitch,Bruce J West
Fractal Physiology Book PDF

Author : James B Bassingthwaighte,Larry S Liebovitch,Bruce J West
Publisher : Springer
Page : 371 pages
File Size : 54,8 Mb
Release : 2013-05-27
Category : Medical
ISBN : 9781461475729

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Fractal Physiology by James B Bassingthwaighte,Larry S Liebovitch,Bruce J West Pdf

I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Nonlinear Dynamics in Human Behavior

Raoul Huys,Viktor K. Jirsa
Nonlinear Dynamics in Human Behavior Book PDF

Author : Raoul Huys,Viktor K. Jirsa
Publisher : Springer Science & Business Media
Page : 216 pages
File Size : 40,9 Mb
Release : 2010-12-08
Category : Mathematics
ISBN : 9783642162619

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Nonlinear Dynamics in Human Behavior by Raoul Huys,Viktor K. Jirsa Pdf

Humans engage in a seemingly endless variety of different behaviors, of which some are found across species, while others are conceived of as typically human. Most generally, behavior comes about through the interplay of various constraints – informational, mechanical, neural, metabolic, and so on – operating at multiple scales in space and time. Over the years, consensus has grown in the research community that, rather than investigating behavior only from bottom up, it may be also well understood in terms of concepts and laws on the phenomenological level. Such top down approach is rooted in theories of synergetics and self-organization using tools from nonlinear dynamics. The present compendium brings together scientists from all over the world that have contributed to the development of their respective fields departing from this background. It provides an introduction to deterministic as well as stochastic dynamical systems and contains applications to motor control and coordination, visual perception and illusion, as well as auditory perception in the context of speech and music.

Theory of Heart

Leon Glass,Peter Hunter,Andrew McCulloch
Theory of Heart Book PDF

Author : Leon Glass,Peter Hunter,Andrew McCulloch
Publisher : Springer Science & Business Media
Page : 617 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461231189

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Theory of Heart by Leon Glass,Peter Hunter,Andrew McCulloch Pdf

In recent years there has been a growth in interest in studying the heart from the perspective of the physical sciences: mechanics, fluid flow, electromechanics. This volume is the result of a workshop held in July 1989 at the Institute for Nonlinear Sciences at the University of California at San Diego that brought together scientists and clinicians with graduate students and postdoctoral fellows who shared an interest in the heart. The chapters were prepared by the invited speakers as didactic reviews of their subjects but also include the structure, mechanical properties, and function of the heart and the myocardium, electrical activity of the heart and myocardium, and mathematical models of heart function.

Fractal Physiology and Chaos in Medicine

Bruce J. West
Fractal Physiology and Chaos in Medicine Book PDF

Author : Bruce J. West
Publisher : World Scientific
Page : 345 pages
File Size : 53,9 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814417808

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Fractal Physiology and Chaos in Medicine by Bruce J. West Pdf

This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics.In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.

Chaos in Biological Systems

Hans Degn,Arunn V. Holden,Lars Folke Olsen
Chaos in Biological Systems Book PDF

Author : Hans Degn,Arunn V. Holden,Lars Folke Olsen
Publisher : Springer Science & Business Media
Page : 319 pages
File Size : 53,5 Mb
Release : 2013-06-29
Category : Science
ISBN : 9781475796315

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Chaos in Biological Systems by Hans Degn,Arunn V. Holden,Lars Folke Olsen Pdf

In recent years experimental and numerical studies have shown that chaos is a widespread phenomenon throughout the biological hierarchy ranging from simple enzyme reactions to ecosystems. Although a coherent picture of the fundamental mechanisms responsible for chaotic dynamics has started to appear it is not yet clear what the implications of such dynamics are for biological systems in general. In some systems it appears that chaotic dynamics are associated with a pathological condi tion. In other systems the pathological condition has regular periodic dynamics whilst the normal non-pathological condition has chaotic dyna mics. Since chaotic behaviour is so ubiquitous in nature and since the phenomenon raises some fundamental questions about its implications for biology it seemed timely to organize an interdisciplinary meeting at which leading scientists could meet to exchange ideas, to evaluate the current state of the field and to stipulate the guidelines along which future research should be directed. The present volume contains the contributions to the NATO Advanced Research Workshop on "Chaos in Biological Systems" held at Dyffryn House, St. Nicholas, Cardiff, U. K. , December 8-12, 1986. At this meeting 38 researchers with highly different backgrounds met to present their latest results through lectures and posters and to discuss the applica tions of non-linear techniques to problems of common interest. . In spite of their involvement in the study of chaotic dynamics for several years many of the participants met here for the first time.

Self-Organized Biological Dynamics and Nonlinear Control

Jan Walleczek
Self Organized Biological Dynamics and Nonlinear Control Book PDF

Author : Jan Walleczek
Publisher : Cambridge University Press
Page : 444 pages
File Size : 43,8 Mb
Release : 2006-04-20
Category : Science
ISBN : 9781139427593

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Self-Organized Biological Dynamics and Nonlinear Control by Jan Walleczek Pdf

The growing impact of nonlinear science on biology and medicine is fundamentally changing our view of living organisms and disease processes. This book introduces the application to biomedicine of a broad range of interdisciplinary concepts from nonlinear dynamics, such as self-organization, complexity, coherence, stochastic resonance, fractals and chaos. It comprises 18 chapters written by leading figures in the field and covers experimental and theoretical research, as well as the emerging technological possibilities such as nonlinear control techniques for treating pathological biodynamics, including heart arrhythmias and epilepsy. This book will attract the interest of professionals and students from a wide range of disciplines, including physicists, chemists, biologists, sensory physiologists and medical researchers such as cardiologists, neurologists and biomedical engineers.