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Physics Of Biological Oscillators
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Book Synopsis Physics of Biological Oscillators by : Aneta Stefanovska
Download or read book Physics of Biological Oscillators written by Aneta Stefanovska and published by Springer Nature. This book was released on 2021-05-05 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Physics of Biological Oscillators by : Aneta Stefanovska
Download or read book Physics of Biological Oscillators written by Aneta Stefanovska and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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. .
Book Synopsis Biological Clocks, Rhythms, and Oscillations by : Daniel B. Forger
Download or read book Biological Clocks, Rhythms, and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2017-11-16 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Biological Oscillators: Their Mathematical Analysis by : Theodosios Pavlidis
Download or read book Biological Oscillators: Their Mathematical Analysis written by Theodosios Pavlidis and published by Elsevier. This book was released on 2012-12-02 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Biological and Biochemical Oscillators by : Britton Chance
Download or read book Biological and Biochemical Oscillators written by Britton Chance and published by Academic Press. This book was released on 2014-06-28 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological and Biochemical Oscillators compiles papers on biochemical and biological oscillators from a theoretical and experimental standpoint. This book discusses the oscillatory behavior, excitability, and propagation phenomena on membranes and membrane-like interfaces; two-dimensional analysis of chemical oscillators; and chemiluminescence in oscillatory oxidation reactions catalyzed. The problems associated with the computer simulation of oscillating systems; mechanism of single-frequency glycolytic oscillations; excitation wave propagation during heart fibrillation; and biochemical cycle of excitation are also elaborated. This compilation likewise covers the physiological rhythms in Saccharomyces cerevisiae populations; integral and indissociable property of eukaryotic gene-action systems; and role of actidione in the temperature jump response of the circadian rhythm in Euglena gracilis. This publication is valuable to biochemists interested in biochemical and biological oscillations.
Book Synopsis Biochemical Oscillations and Cellular Rhythms by : A. Goldbeter
Download or read book Biochemical Oscillations and Cellular Rhythms written by A. Goldbeter and published by . This book was released on 1996-01 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses the molecular bases of some of the most important biochemical rhythms known at the cellular level. Clarifying the mechanism of these oscillatory phenomena is of key importance for understanding the origin as well as the physiological function of these rhythms, and the conditions in which simple periodic behaviour transforms into complex oscillations including bursting and chaos. It will appeal to graduate students and researchers in a wide variety of fields. On the one hand, it will be of interest to life scientists such as biochemists, cell biologists, medical scientists, pharmacologists and chronobiologists. On the other hand, scientists studying nonlinear phenomena, including oscillations and chaos, in chemistry, physics, mathematics and mathematical biology will also find these ideas of value.
Book Synopsis Nonlinear Oscillations in Biology and Chemistry by : Hans G. Othmer
Download or read book Nonlinear Oscillations in Biology and Chemistry written by Hans G. Othmer and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a meeting entitled 'Nonlinear Oscillations in Biology and Chemistry', which was held at the University of Utah May 9-11,1985. The papers fall into four major categories: (i) those that deal with biological problems, particularly problems arising in cell biology, (ii) those that deal with chemical systems, (iii) those that treat problems which arise in neurophysiology, and (iv), those whose primary emphasis is on more general models and the mathematical techniques involved in their analysis. Except for the paper by Auchmuty, all are based on talks given at the meeting. The diversity of papers gives some indication of the scope of the meeting, but the printed word conveys neither the degree of interaction between the participants nor the intellectual sparks generated by that interaction. The meeting was made possible by the financial support of the Department of Mathe matics of the University of Utah. I am indebted to Ms. Toni Bunker of the Department of Mathematics for her very able assistance on all manner of details associated with the organization of the meeting. Finally, a word of thanks to all participants for their con tributions to the success of the meeting, and to the contributors to this volume for their efforts in preparing their manuscripts.
Book Synopsis New Insights on Oscillators and Their Applications to Engineering and Science by : Jose M. Balthazar
Download or read book New Insights on Oscillators and Their Applications to Engineering and Science written by Jose M. Balthazar and published by BoD – Books on Demand. This book was released on 2024-03-20 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the years, the construction of models has played an important part in the discovery and dissemination of knowledge. The study of problems involving the coupling of several systems has been widely explored, essentially in the function of the change of constructive characteristics of machines and structures. Accordingly, vibrating (oscillatory) processes can be divided into the following types: free, forced, parametric, and self-excited oscillations. Furthermore, two or more oscillations can interact in the same oscillatory system. This book provides a comprehensive overview of oscillators and their applications. It includes eight chapters organized into three sections “MEMS and NEMS”, “Vibrations” and “Modeling”.
Book Synopsis Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology by : L. Schimansky-Geier
Download or read book Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology written by L. Schimansky-Geier and published by World Scientific. This book was released on 2007 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear dynamics of complex processes is an active research field with large numbers of publications in basic research, and broad applications from diverse fields of science. Nonlinear dynamics as manifested by deterministic and stochastic evolution models of complex behavior has entered statistical physics, physical chemistry, biophysics, geophysics, astrophysics, theoretical ecology, semiconductor physics and -optics, etc. This field of research has induced a new terminology in science connected with new questions, problems, solutions and methods. New scenarios have emerged for spatio-temporal structures in dynamical systems far from equilibrium. Their analysis and possible control are intriguing and challenging aspects of the current research.The duality of fundamental and applied research is a focal point of its main attractivity and fascination. Basic topics and foundations are always linked to concrete and precise examples. Models and measurements of complex nonlinear processes evoke and provoke new fundamental questions that diversify and broaden the mathematical concepts and tools. In return, new mathematical approaches to modeling and analysis enlarge the scope and efficiency of applied research.
Book Synopsis Harmonic Oscillators by : Yilun Shang
Download or read book Harmonic Oscillators written by Yilun Shang and published by . This book was released on 2019 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book gathers state-of-the-art advances on harmonic oscillators including their types, functions, and applications. In Chapter 1, Neetik and Amlan have discussed the recent progresses of information theoretic tools in the context of free and confined harmonic oscillator. Confined quantum systems have provided appreciable interest in areas of physics, chemistry, biology, etc., since its inception. A particle under extreme pressure environment unfolds many fascinating, notable physical and chemical changes. The desired effect is achieved by reducing the spatial boundary from infinity to a finite region. Similarly, in the last decade, information measures were investigated extensively in diverse quantum problems, in both free and constrained situations. The most prominent amongst these are: Fisher information, Shannon entropy, Renyi entropy, Tsallis entropy, Onicescu energy and several complexities. Arguably, these are the most effective measures of uncertainty, as they do not make any reference to some specific points of a respective Hilbert space. These have been invoked to explain several physic-chemical properties of a system under investigation. Kullback Leibler divergence or relative entropy describes how a given probability distribution shifts from a reference distribution function. This characterizes a measure of discrimination between two states. In other words, it extracts the change of information in going from one state to another. In Chapter 2, Nabakumar, Subhasree, and Paulami have revisited classical-quantum correspondence in the context of linear Simple Harmonic Oscillator (SHO). According to Bohr's correspondence principle, quantum mechanically calculated results match with the classically expected results when quantum number is very high. Classical quantum correspondence may also be visualized in the limit when the action integral is much greater than Planck's constant. When de-Broglie wave length associated with a particle is much larger than system size, then quantum mechanical results also match with the classical results. In the context of dynamics, Ehrenfest equation of motion is used in quantum domain, which is analogous to classical Newton's equation of motion. SHO is one of the most important systems for several reasons. It is one of the few exactly solvable problems. Any stable molecular potential can be approximated by SHO near the equilibrium point. This builds the foundation for the understanding of complex modes of vibration in large molecules, the motion of atoms in a solid lattice, the theory of heat capacity, vibration motion of nuclei in molecule etc. The authors have revisited the common solution techniques and important properties of both classical and quantum linear SHO. Then they focused on probability distribution, quantum mechanical tunneling, classical and quantum dynamics of position, momentum and their actuations, viral theorems, etc. and also analyzed how quantum mechanical results finally tend to classical results in the high quantum number limit. In Chapter 3, Neeraj has discussed the nature of atomic motions, sometimes referred to as lattice vibrations. The lattice dynamics deals with the vibrations of the atoms inside the crystals. In order to write the dynamic equations of the motion of crystal atoms, we need to describe an inter-atomic interaction. Therefore, it is natural to start the study of the lattice dynamics with the case of small harmonic vibrations. The dynamics of one-dimensional and two-dimensional vibrations of monatomic and diatomic crystals can be understood by using the simple model forces based on harmonic approximation. This harmonic approximation is related to a simple ball-spring model. According to this model, each atom is coupled with the neighboring atoms by spring constants. The collective motion of atoms leads to a distinct traveling wave over the whole crystal, leading to the collective motion, so-called phonon. The simple ball-spring model enlightens us some of the significant common features of lattice dynamics that have been discussed throughout this chapter. Further, this chapter helps in understanding the quantization energy of a harmonic oscillation and the concept of phonon"--
Book Synopsis Physical Models of Living Systems by : Philip Nelson
Download or read book Physical Models of Living Systems written by Philip Nelson and published by Macmillan Higher Education. This book was released on 2014-12-20 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written for intermediate-level undergraduates pursuing any science or engineering major, Physical Models of Living Systems helps students develop many of the competencies that form the basis of the new MCAT2015. The only prerequisite is first-year physics. With the more advanced "Track-2" sections at the end of each chapter, the book can be used in graduate-level courses as well.
Book Synopsis Pattern Formations and Oscillatory Phenomena by : Shuichi Kinoshita
Download or read book Pattern Formations and Oscillatory Phenomena written by Shuichi Kinoshita and published by Elsevier Inc. Chapters. This book was released on 2013-05-09 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present examples of familiar phenomena found in nonequilibrium systems, including oscillatory phenomena, order-formation processes, and pattern formation. In particular, we introduce commonly used mathematical methods to analyze their characteristics. First, we present oscillations described by the Lotka–Volterra and van der Pol equations, the Brusselator, the Oregonator, and relaxation oscillations as examples of oscillatory phenomena. Second, we investigate the order-formation process in colloidal crystals and present an experimental observation of 2D array formation. Third, we demonstrate pattern formation in crystals on the basis of the Mullins–Sekerka instability, and in chemical and biological systems on the basis of the Turing instability. In particular, we describe the optical properties and development of sophisticated structural patterns that directly interact with light. Finally, we briefly describe a theoretical phase-transition analogy that might clarify the concept of order formation in nonequilibrium systems.
Book Synopsis A Theory of Spin Vortices in a Physical Vacuum Consisting of Quantum Oscillators by : Liudmila Borisovna Boldyreva
Download or read book A Theory of Spin Vortices in a Physical Vacuum Consisting of Quantum Oscillators written by Liudmila Borisovna Boldyreva and published by Cambridge Scholars Publishing. This book was released on 2021-04-09 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will be of interest not only to physics scholars who are studying the theoretical aspects of quantum mechanics, electromagnetism, superconductivity and superfluidity, but also to the more general reader. It explores the action of biologically active substances and low-intensity physical factors in ultra-low doses on biological systems, particularly the action of medicinal remedies in ultra-low doses (homeopathy), influence of the color and form of ambient bodies, and the so-called Twin Correlation.
Book Synopsis Pattern Formations and Oscillatory Phenomena by : Shuichi Kinoshita
Download or read book Pattern Formations and Oscillatory Phenomena written by Shuichi Kinoshita and published by Newnes. This book was released on 2013-05-09 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patterns and their formations appear throughout nature, and are studied to analyze different problems in science and make predictions across a wide range of disciplines including biology, physics, mathematics, chemistry, material science, and nanoscience. With the emergence of nanoscience and the ability for researchers and scientists to study living systems at the biological level, pattern formation research has become even more essential. This book is an accessible first of its kind guide for scientists, researchers, engineers, and students who require a general introduction to this research area, in order to gain a deeper analytical understanding of the most recent observations and experiments by top researchers in physics. Pattern Formations describes the most up-to-date status of this developing field and analyzes the physical phenomena behind a wide range of interesting topics commonly known in the scientific community. The study of pattern formations as a research field will continue to grow as scientists expand their understanding of naturally occurring patterns and mimic nature to help solve complex problems. This research area is becoming more highly recognized due to its contributions to signal processing, computer analysis, image processing, complex networks development, advancements in optics and photonics, crystallography, metallurgy, drug delivery (chemotherapy) and the further understanding of gene regulation. The only introductory reference book which places special emphasis on the theoretical analyses of experiments in this rapidly growing field of pattern formation A wide range of physical applications make this book highly interdisciplinary Explanations of observations and experiments deepen the readers understanding of this developing research field
Book Synopsis Theory of Oscillators by : A. A. Andronov
Download or read book Theory of Oscillators written by A. A. Andronov and published by Elsevier. This book was released on 2013-10-22 with total page 848 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Oscillators presents the applications and exposition of the qualitative theory of differential equations. This book discusses the idea of a discontinuous transition in a dynamic process. Organized into 11 chapters, this book begins with an overview of the simplest type of oscillatory system in which the motion is described by a linear differential equation. This text then examines the character of the motion of the representative point along the hyperbola. Other chapters consider examples of two basic types of non-linear non-conservative systems, namely, dissipative systems and self-oscillating systems. This book discusses as well the discontinuous self-oscillations of a symmetrical multi-vibrator neglecting anode reaction. The final chapter deals with the immense practical importance of the stability of physical systems containing energy sources particularly control systems. This book is a valuable resource for electrical engineers, scientists, physicists, and mathematicians.
Book Synopsis Mathematical Models in Molecular Cellular Biology by : Lee A. Segel
Download or read book Mathematical Models in Molecular Cellular Biology written by Lee A. Segel and published by CUP Archive. This book was released on 1980 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in theoretical biology is rapidly growing and this 1981 book attempts to make the theory more accessible to experimentalists. Its primary purpose is to demonstrate to experimental molecular and cellular biologists the possible usefulness of mathematical models. Biologists with a basic command of calculus should be able to learn from the book what assumptions are implied by various types of equations, to understand in broad outline a number of major theoretical concepts, and to be aware of some of the difficulties connected with analytical and numerical solutions of mathematical problems. Thus they should be able to appreciate the significance of theoretical papers in their fields and to communicate usefully with theoreticians in the course of their work.
Book Synopsis Topics in Nonlinear Dynamics by : Erik Mosekilde
Download or read book Topics in Nonlinear Dynamics written by Erik Mosekilde and published by World Scientific. This book was released on 2003-03-20 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
