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Physics Of Biological Oscillators


Physics Of Biological Oscillators
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Physics Of Biological Oscillators


Physics Of Biological Oscillators
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Author : Aneta Stefanovska
language : en
Publisher: Springer Nature
Release Date : 2021-05-05

Physics Of Biological Oscillators written by Aneta Stefanovska and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-05-05 with Science categories.


This book, based on a selection of invited presentations from a topical workshop, focusses on time-variable oscillations and their interactions. The problem is challenging, because the origin of the time variability is usually unknown. In mathematical terms, the oscillations are non-autonomous, reflecting the physics of open systems where the function of each oscillator is affected by its environment. Time-frequency analysis being essential, recent advances in this area, including wavelet phase coherence analysis and nonlinear mode decomposition, are discussed. Some applications to biology and physiology are described. Although the most important manifestation of time-variable oscillations is arguably in biology, they also crop up in, e.g. astrophysics, or for electrons on superfluid helium. The book brings together the research of the best international experts in seemingly very different disciplinary areas.



Physics Of Biological Oscillators


Physics Of Biological Oscillators
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Author : Aneta Stefanovska
language : en
Publisher:
Release Date : 2021

Physics Of Biological Oscillators written by Aneta Stefanovska and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with categories.


This book, based on a selection of invited presentations from a topical workshop, focusses on time-variable oscillations and their interactions. The problem is challenging, because the origin of the time variability is usually unknown. In mathematical terms, the oscillations are non-autonomous, reflecting the physics of open systems where the function of each oscillator is affected by its environment. Time-frequency analysis being essential, recent advances in this area, including wavelet phase coherence analysis and nonlinear mode decomposition, are discussed. Some applications to biology and physiology are described. Although the most important manifestation of time-variable oscillations is arguably in biology, they also crop up in, e.g. astrophysics, or for electrons on superfluid helium. The book brings together the research of the best international experts in seemingly very different disciplinary areas. .



Biological Clocks Rhythms And Oscillations


Biological Clocks Rhythms And Oscillations
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Author : Daniel B. Forger
language : en
Publisher: MIT Press
Release Date : 2024-08-06

Biological Clocks Rhythms And Oscillations written by Daniel B. Forger and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-06 with Science categories.


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.



Biological Oscillators Their Mathematical Analysis


Biological Oscillators Their Mathematical Analysis
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Author : Theodosios Pavlidis
language : en
Publisher: Elsevier
Release Date : 2012-12-02

Biological Oscillators Their Mathematical Analysis written by Theodosios Pavlidis and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-02 with Science categories.


Biological Oscillators: Their Mathematical Analysis introduces the main features of the dynamic properties of biological oscillators and the mathematical techniques necessary for their investigation. It is not a comprehensive description of all known biological oscillators, since this would require a much bigger volume as well as a different type of expertise. Instead certain classes of biological oscillators are described, and then only in as much detail as required for the study of their dynamics. The opening chapter reviews fundamental mathematical concepts and techniques which will be used in the remainder of the book. These include phase plane techniques; asymptotic techniques of Krylov, Bogoliubov, and Mitopolski; and the describing function. Subsequent chapters discuss examples of biological oscillators; phase shifts and phase response curves; the entrainment of oscillators by external inputs; the dynamics of circadian oscillators; effects of changing environment on the dynamics of biological oscillators; the features peculiar to populations of interacting oscillators; and biological phenomena attributable to populations of oscillators.



The Geometry Of Biological Time


The Geometry Of Biological Time
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Author : Arthur T. Winfree
language : en
Publisher: Springer Science & Business Media
Release Date : 2001-06-08

The Geometry Of Biological Time written by Arthur T. Winfree and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-06-08 with Mathematics categories.


Dealing with dynamics of processes that repeat themselves regularly, this revised and updated edition extends the thread from 1980 to the present day, concentrating on areas of interest where there will be much activity in the future. This involves going through spatial biochemical, electrophysiological, and organismic dynamical systems and patterns that were discovered by pursuing the theme of phase singularities introduced in the original book. In particular the work on excitability in cell membranes will be thoroughly updated as will the references throughout the book.



Fundamentals Of Waves And Oscillations


Fundamentals Of Waves And Oscillations
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Author : K. U. Ingard
language : en
Publisher: Cambridge University Press
Release Date : 1988-07-28

Fundamentals Of Waves And Oscillations written by K. U. Ingard and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-07-28 with Science categories.


This is a complete introduction to the theory of waves and oscillations as encountered by physics and engineering students. It discusses both the mathematical theory and the physics of phenomena such as waves in fluids, electromagnetic waves, and discrete coupled oscillators in mechanics and electronics. The author gives a description of the mathematics of complex amplitudes and introduces forced and free oscillations and normal modes of resonance. Chapters cover wave guides, barrier penetration, and electromagnetic transmission. One section, devoted solely to surface waves, includes a discussion on light scattering and the determination of surface tension and viscosity, plasma oscillations, and feedback oscillations. Ideas and equations are displayed for easy reference, and sets of exercises follow each chapter.



Chaotic Synchronization


Chaotic Synchronization
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Author : Erik Mosekilde
language : en
Publisher: World Scientific
Release Date : 2002

Chaotic Synchronization written by Erik Mosekilde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Science categories.


A guide to the fascinating new concept of chaotic sychronization.



Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales


Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales
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Author : Hiroshi Yabuno
language : en
Publisher: Springer Nature
Release Date : 2025-01-07

Proceedings Of The Iutam Symposium On Nonlinear Dynamics For Design Of Mechanical Systems Across Different Length Time Scales written by Hiroshi Yabuno and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-07 with Technology & Engineering categories.


This book presents insights from the IUTAM Symposium on Nonlinear Dynamics for Design of Mechanical Systems Across Different Length/Time Scales. It covers a diverse array of topics, including applications of parametric amplification and self-excitation, as well as the design and analysis of devices and systems that harness geometric and material nonlinearities. The book features chapters on nonlinear energy transfer, eigenfrequency detection through subharmonic and superharmonic resonances, and the innovative use of nonlinear mode localization. The authors explore dynamic stabilization under high-frequency excitation, the utilization of multimode interactions and nonlinear normal modes, and the application of nonlinear resonance and bifurcation in creating ultrasensitive sensors and high-performance actuators. This book provides a comprehensive record of the symposium's discussions, representing a collective effort to expand our understanding of nonlinear phenomena and its potential to reshape the landscape of mechanical system design.



Topics In Nonlinear Dynamics Applications To Physics Biology And Economic Systems


Topics In Nonlinear Dynamics Applications To Physics Biology And Economic Systems
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Author : Erik Mosekilde
language : en
Publisher: World Scientific
Release Date : 1997-01-04

Topics In Nonlinear Dynamics Applications To Physics Biology And Economic Systems written by Erik Mosekilde and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-04 with Science categories.


Through a series of examples from physics, engineering, biology and economics, this book illustrates the enormous potential for application of ideas and concepts from nonlinear dynamics and chaos theory. The overlap with examples published in other books is virtually equal to zero. The book takes the reader from detailed studies of bifurcation structures of relativity simple models to pattern formation in spatially extended systems. The book also discusses the different perspectives that nonlinear dynamics brings to different fields of science.



Asymptotic Methods For Relaxation Oscillations And Applications


Asymptotic Methods For Relaxation Oscillations And Applications
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Author : Johan Grasman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Asymptotic Methods For Relaxation Oscillations And Applications written by Johan Grasman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


In various fields of science, notably in physics and biology, one is con fronted with periodic phenomena having a remarkable temporal structure: it is as if certain systems are periodically reset in an initial state. A paper of Van der Pol in the Philosophical Magazine of 1926 started up the investigation of this highly nonlinear type of oscillation for which Van der Pol coined the name "relaxation oscillation". The study of relaxation oscillations requires a mathematical analysis which differs strongly from the well-known theory of almost linear oscillations. In this monograph the method of matched asymptotic expansions is employed to approximate the periodic orbit of a relaxation oscillator. As an introduction, in chapter 2 the asymptotic analysis of Van der Pol's equation is carried out in all detail. The problem exhibits all features characteristic for a relaxation oscillation. From this case study one may learn how to handle other or more generally formulated relaxation oscillations. In the survey special attention is given to biological and chemical relaxation oscillators. In chapter 2 a general definition of a relaxation oscillation is formulated.