Physics Of Biological Oscillators

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Physics of Biological Oscillators

Author : Aneta Stefanovska
Publisher : Springer Nature
ISBN 13 : 3030598055
Total Pages : 431 pages
Book Rating : 4.0/5 (35 download)

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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.

Physics of Biological Oscillators

Author : Aneta Stefanovska
Publisher :
ISBN 13 : 9783030598068
Total Pages : 0 pages
Book Rating : 4.5/5 (98 download)

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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 . 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. .

Biological Oscillators: Their Mathematical Analysis

Author : Theodosios Pavlidis
Publisher : Elsevier
ISBN 13 : 0323159826
Total Pages : 222 pages
Book Rating : 4.3/5 (231 download)

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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.

Biological and Biochemical Oscillators

Author : Britton Chance
Publisher : Academic Press
ISBN 13 : 1483271196
Total Pages : 550 pages
Book Rating : 4.4/5 (832 download)

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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 550 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.

Biochemical Oscillations and Cellular Rhythms

Author : A. Goldbeter
Publisher :
ISBN 13 : 9780521403078
Total Pages : 605 pages
Book Rating : 4.4/5 (3 download)

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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.

Nonlinear Oscillations in Biology and Chemistry

Author : Hans G. Othmer
Publisher : Springer Science & Business Media
ISBN 13 : 3642933181
Total Pages : 296 pages
Book Rating : 4.6/5 (429 download)

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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.

New Insights on Oscillators and Their Applications to Engineering and Science

Author : Jose M. Balthazar
Publisher : BoD – Books on Demand
ISBN 13 : 1803561912
Total Pages : 198 pages
Book Rating : 4.8/5 (35 download)

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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”.

Analysis and Control of Complex Nonlinear Processes in Physics, Chemistry and Biology

Author : L. Schimansky-Geier
Publisher : World Scientific
ISBN 13 : 981270583X
Total Pages : 453 pages
Book Rating : 4.8/5 (127 download)

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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.

Biological Clocks, Rhythms, and Oscillations

Author : Daniel B. Forger
Publisher : MIT Press
ISBN 13 : 0262036770
Total Pages : 369 pages
Book Rating : 4.2/5 (62 download)

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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.

Mathematical Models in Molecular Cellular Biology

Author : Lee A. Segel
Publisher : CUP Archive
ISBN 13 : 9780521229258
Total Pages : 776 pages
Book Rating : 4.2/5 (292 download)

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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.

Pattern Formations and Oscillatory Phenomena

Author : Shuichi Kinoshita
Publisher : Elsevier Inc. Chapters
ISBN 13 : 0128061561
Total Pages : 280 pages
Book Rating : 4.1/5 (28 download)

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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.

Topics in Nonlinear Dynamics

Author : Erik Mosekilde
Publisher : World Scientific
ISBN 13 : 9789812382771
Total Pages : 396 pages
Book Rating : 4.3/5 (827 download)

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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.

Biochemical Oscillations and Cellular Rhythms

Author : Albert Goldbeter
Publisher : Cambridge University Press
ISBN 13 : 9780521599467
Total Pages : 632 pages
Book Rating : 4.5/5 (994 download)

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Book Synopsis Biochemical Oscillations and Cellular Rhythms by : Albert Goldbeter

Download or read book Biochemical Oscillations and Cellular Rhythms written by Albert Goldbeter and published by Cambridge University Press. This book was released on 1997-04-03 with total page 632 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. The approach rests on the analysis of theoretical models closely related to experimental observations. Among the main rhythms considered are glycolytic oscillations observed in yeast and muscle, oscillations of cyclic AMP in Dictyostelium amoebae, intracellular calcium oscillation observed in a variety of cell types, the mitotic oscillator that drives the cell division cycle in eukaryotes, pulsatile hormone signaling, and circadian rhythms in Drosophila. This book will be of interest to life scientists such as biochemists, cell biologists, chronobiologists, medical scientists and pharmacologists. In addition, it will appeal to scientists studying nonlinear phenomena, including oscillations and chaos, in chemistry, physics, mathematics and theoretical biology.

Perspectives on Organisms

Author : Giuseppe Longo
Publisher : Springer Science & Business Media
ISBN 13 : 3642359388
Total Pages : 283 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Perspectives on Organisms by : Giuseppe Longo

Download or read book Perspectives on Organisms written by Giuseppe Longo and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authored monograph introduces a genuinely theoretical approach to biology. Starting point is the investigation of empirical biological scaling including their variability, which is found in the literature, e.g. allometric relationships, fractals, etc. The book then analyzes two different aspects of biological time: first, a supplementary temporal dimension to accommodate proper biological rhythms; secondly, the concepts of protension and retention as a means of local organization of time in living organisms. Moreover, the book investigates the role of symmetry in biology, in view of its ubiquitous importance in physics. In relation with the notion of extended critical transitions, the book proposes that organisms and their evolution can be characterized by continued symmetry changes, which accounts for the irreducibility of their historicity and variability. The authors also introduce the concept of anti-entropy as a measure for the potential of variability, being equally understood as alterations in symmetry. By this, the book provides a mathematical account of Gould's analysis of phenotypic complexity with respect to biological evolution. The target audience primarily comprises researchers interested in new theoretical approaches to biology, from physical, biological or philosophical backgrounds, but the book may also be beneficial for graduate students who want to enter this field.

Cellular Oscillatory Mechanisms

Author : Miguel Maroto
Publisher : Springer Science & Business Media
ISBN 13 : 0387097945
Total Pages : 166 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis Cellular Oscillatory Mechanisms by : Miguel Maroto

Download or read book Cellular Oscillatory Mechanisms written by Miguel Maroto and published by Springer Science & Business Media. This book was released on 2008-12-19 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oscillatory dynamics are a central feature of a wide range of biological processes. This text fully explores cellular oscillations, focusing particularly on elucidating the basic mechanisms that underlie these oscillations.

Frontiers in Mathematical Biology

Author : Simon A. Levin
Publisher : Springer Science & Business Media
ISBN 13 : 3642501249
Total Pages : 637 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis Frontiers in Mathematical Biology by : Simon A. Levin

Download or read book Frontiers in Mathematical Biology written by Simon A. Levin and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: From a mathematical point of view, physiologically structured population models are an underdeveloped branch of the theory of infinite dimensional dynamical systems. We have called attention to four aspects: (i) A choice has to be made about the kind of equations one extracts from the predominantly verbal arguments about the basic assumptions, and subsequently uses as a starting point for a rigorous mathematical analysis. Though differential equations are easy to formulate (different mechanisms don't interact in infinites imal time intervals and so end up as separate terms in the equations) they may be hard to interpret rigorously as infinitesimal generators. Integral equations constitute an attractive alternative. (ii) The ability of physiologically structured population models to increase our un derstanding of the relation between mechanisms at the i-level and phenomena at the p-level will depend strongly on the development of dynamical systems lab facilities which are applicable to this class of models. (iii) Physiologically structured population models are ideally suited for the for mulation of evolutionary questions. Apart from the special case of age (see Charlesworth 1980, Yodzis 1989, Caswell 1989, and the references given there) hardly any theory exists at the moment. This will, hopefully, change rapidly in the coming years. Again the development of appropriate software may turn out to be crucial.

An Introduction to Systems Biology

Author : Uri Alon
Publisher : CRC Press
ISBN 13 : 1000001326
Total Pages : 324 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis An Introduction to Systems Biology by : Uri Alon

Download or read book An Introduction to Systems Biology written by Uri Alon and published by CRC Press. This book was released on 2019-07-12 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Praise for the first edition: ... superb, beautifully written and organized work that takes an engineering approach to systems biology. Alon provides nicely written appendices to explain the basic mathematical and biological concepts clearly and succinctly without interfering with the main text. He starts with a mathematical description of transcriptional activation and then describes some basic transcription-network motifs (patterns) that can be combined to form larger networks. – Nature [This text deserves] serious attention from any quantitative scientist who hopes to learn about modern biology ... It assumes no prior knowledge of or even interest in biology ... One final aspect that must be mentioned is the wonderful set of exercises that accompany each chapter. ... Alon’s book should become a standard part of the training of graduate students. – Physics Today Written for students and researchers, the second edition of this best-selling textbook continues to offer a clear presentation of design principles that govern the structure and behavior of biological systems. It highlights simple, recurring circuit elements that make up the regulation of cells and tissues. Rigorously classroom-tested, this edition includes new chapters on exciting advances made in the last decade. Features: Includes seven new chapters The new edition has 189 exercises, the previous edition had 66 Offers new examples relevant to human physiology and disease