January 19, 2021

Download Ebook Free Nonlinear Dynamics In Physiology And Medicine

Nonlinear Dynamics in Physiology and Medicine

Nonlinear Dynamics in Physiology and Medicine
Author : Anne Beuter,Leon Glass,Michael C. Mackey,Michele S. Titcombe
Publisher : Springer Science & Business Media
Release Date : 2013-06-05
Category : Mathematics
Total pages :436
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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

Nonlinear Dynamics in Physiology
Author : Mark Shelhamer
Publisher : World Scientific
Release Date : 2007
Category : Science
Total pages :345
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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.

Fractal Physiology and Chaos in Medicine

Fractal Physiology and Chaos in Medicine
Author : Bruce J. West
Publisher : World Scientific
Release Date : 2012
Category : Chaotic behavior in systems
Total pages :345
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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

Understanding Nonlinear Dynamics
Author : Daniel Kaplan,Leon Glass
Publisher : Springer Science & Business Media
Release Date : 2012-12-06
Category : Mathematics
Total pages :420
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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.

Nonlinear Dynamics in Physiology

Nonlinear Dynamics in Physiology
Author : Mark Shelhamer
Publisher : World Scientific
Release Date : 2007
Category : Science
Total pages :345
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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

Nonlinear Dynamic Modeling of Physiological Systems
Author : Professor Vasilis Z. Marmarelis
Publisher : John Wiley & Sons
Release Date : 2004-09-03
Category : Medical
Total pages :541
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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.

Nonlinear Dynamic Modeling of Physiological Systems

Nonlinear Dynamic Modeling of Physiological Systems
Author : Professor Vasilis Z. Marmarelis
Publisher : John Wiley & Sons
Release Date : 2004-09-03
Category : Medical
Total pages :541
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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.

Introduction to Modeling in Physiology and Medicine

Introduction to Modeling in Physiology and Medicine
Author : Claudio Cobelli,Ewart Carson
Publisher : Academic Press
Release Date : 2019-08-01
Category : Computers
Total pages :384
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Introduction to Modeling in Physiology and Medicine, Second Edition, develops a clear understanding of the fundamental principles of good modeling methodology. Sections show how to create valid mathematical models that are fit for a range of purposes. These models are supported by detailed explanation, extensive case studies, examples and applications. This updated edition includes clearer guidance on the mathematical prerequisites needed to achieve the maximum benefit from the material, a greater detail regarding basic approaches to modeling, and discussions on non-linear and stochastic modeling. The range of case study material has been substantially extended, with examples drawn from recent research experience. Key examples include a cellular model of insulin secretion and its extension to the whole-body level, a model of insulin action during a meal/oral glucose tolerance test, a large-scale simulation model of type 1 diabetes and its use in in silico clinical trials and drug trials. Covers the underlying principles of good quantitative modeling methodology, with applied biomedical engineering and bioscience examples to ensure relevance to students, current research and clinical practice Includes modeling data, modeling systems, linear and non-linear systems, model identification, parametric and non-parametric models, and model validation Presents clear, step-by-step working plus examples and extensive case studies that relate concepts to real world applications Provides end-of-chapter exercises and assignments to reinforce learning

Nonlinearity in Living Systems: Theoretical and Practical Perspectives on Metrics of Physiological Signal Complexity

Nonlinearity in Living Systems: Theoretical and Practical Perspectives on Metrics of Physiological Signal Complexity
Author : Sladjana Spasić,Srdjan Kesić
Publisher : Frontiers Media SA
Release Date : 2019-06-28
Category :
Total pages :129
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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.

Identification of Nonlinear Physiological Systems

Identification of Nonlinear Physiological Systems
Author : David T. Westwick,Robert E. Kearney
Publisher : John Wiley & Sons
Release Date : 2003-08-28
Category : Technology & Engineering
Total pages :280
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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.

Mathematical Reviews

Mathematical Reviews
Author : Anonim
Publisher : Unknown
Release Date : 2005
Category : Mathematics
Total pages :129
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Where Medicine Went Wrong

Where Medicine Went Wrong
Author : Bruce J. West
Publisher : World Scientific
Release Date : 2006
Category : Fractals
Total pages :352
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The field of solid state ionics deals with ionically conducting materials in the solid state and numerous devices based on such materials. Solid state ionic materials cover a wide spectrum, ranging from inorganic crystalline and polycrystalline solids, ceramics, glasses, polymers, composites and nano-scale materials. A large number of Scientists in Asia are engaged in research in solid state ionic materials and devices and since 1988. The Asian Society for solid state ionics has played a key role in organizing a series of bi-ennial conferences on solid state ionics in different Asian countries. The contributions in this volume were presented at the 10th conference in the series organized by the Postgraduate Institute of Science (PGIS) and the Faculty of Science, University of Peradeniya, Sri Lanka, which coincided with the 10th Anniversary of the Postgraduate Institute of Science (PGIS). The topics cover solid state ionic materials as well as such devices as solid state batteries, fuel cells, sensors, and electrochromic devices. The aspects covered include theoretical studies and modeling, experimental techniques, materials synthesis and characterization, device fabrication and characterization.

Differential Equations with Applications to Biology

Differential Equations with Applications to Biology
Author : Shigui Ruan,Gail Susan Kohl Wolkowicz,Jianhong Wu
Publisher : American Mathematical Soc.
Release Date : 2021
Category : Science
Total pages :509
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Nonlinear Dynamics in Human Behavior

Nonlinear Dynamics in Human Behavior
Author : Raoul Huys,Viktor K. Jirsa
Publisher : Springer Science & Business Media
Release Date : 2010-12-08
Category : Mathematics
Total pages :216
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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.

The Complexity Paradox

The Complexity Paradox
Author : Kenneth Mossman
Publisher : Oxford University Press
Release Date : 2014-08-26
Category : Medical
Total pages :240
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Living systems exhibit a fundamental contradiction: they are highly stable and reliable, yet they have the capacity to adapt to changing environmental conditions. This paradoxical behavior arises from the complexity of life--a high degree of order and cooperation that emerges from relatively simple interactions among cellular components. The Complexity Paradox proposes inventive, interdisciplinary approaches to maintaining health and managing and preventing disease by considering the totality of human biology, from the cellular level on up to entire populations of individuals. From the perspective of complexity, which acknowledges that there are limits to what we can know, Kenneth L. Mossman opens the door to understanding essential life processes in new and extraordinary ways. By tying together evolution, functional dynamics, and investigations into how the body processes energy and uses genetic information, Mossman's analysis expresses a unified theory of biology that fills a critical niche for future research in biology, medicine, and public health.