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.
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. .
Download or read book Biological Clocks Rhythms and Oscillations written by Daniel B. Forger and published by MIT Press. This book was released on 2024-08-06 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.
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.
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.
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.
Download or read book Biological Oscillators written by Theodosios Pavlidis and published by . This book was released on 2012 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Biological Oscillators: Their Mathematical Analysis ...
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.
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.
Download or read book Modelling Biological Systems with Coupled Oscillators written by Francesco d'Ovidio and published by . This book was released on 2002 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Molecular and Biological Physics of Living Systems written by R.K. Mishra and published by Taylor & Francis. This book was released on 1990-09-30 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The living organisms and systems possess extraordinary properties of programmed development, differentiation, growth, response, movement, duplication of key molecules and in m any cases higher mental functions. But the organisms are physical objects so they must follow laws of physics yet they do not seem to obey them. Physicists cannot easily persuade themselves to accept this as finally true. Non-living objects are governed by these laws of physics and they can explain these properties. However, in the living systems too phenomena encountered like coupled non-linear interactions, manybody effects, cooperativity, coherence, phase transitions, reversible metastable states are being understood better with the aid of powerful theoretical and experimental techniques and hope is raised that these may let us understand the mysteriousness of life. Contributors to this volume are a small fraction of rapidly growing scientific opinion that these aspects of living bodies are to be expected in a hitherto inadequately suspected state of matter which is in the main directed by these physical properties pushed almost to limit. This state of matter, the living matter, deserves to be called The Living State. Mishra proposes that given hydrogenic orbitals, atoms showing easy hybridisability and multiple valances, molecules with low-lying electronic levels, "loosestructure", and a metabolic pump in thermodynamically open system, various fundamental properties of living state can emerge automatically. Structurally these are all known to be present.
Download or read book 2019 20 MATRIX Annals written by Jan de Gier and published by Springer Nature. This book was released on 2021-02-10 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
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 75 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.
Download or read book Noisy Oscillator The Random Mass Frequency Damping 2nd Edition written by Moshe Gitterman and published by World Scientific Publishing Company. This book was released on 2012-12-18 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The properties of the harmonic oscillator with random frequency or/and random damping formed the content of the first edition. The second edition includes hundreds of publications on this subject since 2005. The noisy oscillator continues to be the subject of intensive studies in physics, chemistry, biology, and social sciences.The new and the latest type of a stochastic oscillator has also been considered, namely, an oscillator with random mass. Such model describes, among other phenomena, Brownian motion with adhesion, where the molecules of the surrounding medium not only randomly collide, but also stick to the Brownian particle for some (random) time, thereby changing its mass. This edition contains two new chapters, eight new sections and an expanded bibliography. A wide group of researchers, students and teachers will benefit from this book.
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.
Download or read book Harmonic Oscillator written by Moshinsky and published by CRC Press. This book was released on 1996-05-01 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed introduction to the principles of particle detectors used in physics, biology, and medicine. Introductory chapters review the interactions of particles and radiation with matter, introduce the principles of detector operation and describe different types of measurement. The main body of the book describes all currently used detectors and counters, including their basic principles, potential uses and limitations. Two chapters are dedicated to electronics (readout methods, monitoring, data acquisition) and data analysis. A final chapter gives examples of detector systems. Concludes with a glossary of terms, tables of units and physical constants, and a reference list. Annotation copyrighted by Book News, Inc., Portland, OR
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.
