Single Molecule Biophysics and Poisson Process Approach to Statistical Mechanics PDF Download

Author: S K Sarkar
Publisher: Myprint
ISBN: 9781681748436
Category :
Languages : en
Pages : 76

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Author: Susanta K Sarkar
Publisher: Morgan & Claypool Publishers
ISBN: 1681741164
Category : Science
Languages : en
Pages : 74

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Book Description
This is an overview of single molecule physics, the study of both equilibrium and non-equilibrium properties at the single molecule level. It begins with an introduction to this fascinating science and includes a chapter on how to build the most popular instrument for single molecule biophysics, the total internal reflection fluorescence (TIRF) microscope. It concludes with the Poisson process approach to statistical mechanics, explaining how to relate the process to diverse areas and see how data analysis and error bars are integral parts of science.

Author: Yury A. Kutoyants
Publisher: Springer Nature
ISBN: 3031370546
Category : Mathematics
Languages : en
Pages : 683

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Book Description
This book covers an extensive class of models involving inhomogeneous Poisson processes and deals with their identification, i.e. the solution of certain estimation or hypothesis testing problems based on the given dataset. These processes are mathematically easy-to-handle and appear in numerous disciplines, including astronomy, biology, ecology, geology, seismology, medicine, physics, statistical mechanics, economics, image processing, forestry, telecommunications, insurance and finance, reliability, queuing theory, wireless networks, and localisation of sources. Beginning with the definitions and properties of some fundamental notions (stochastic integral, likelihood ratio, limit theorems, etc.), the book goes on to analyse a wide class of estimators for regular and singular statistical models. Special attention is paid to problems of change-point type, and in particular cusp-type change-point models, then the focus turns to the asymptotically efficient nonparametric estimation of the mean function, the intensity function, and of some functionals. Traditional hypothesis testing, including some goodness-of-fit tests, is also discussed. The theory is then applied to three classes of problems: misspecification in regularity (MiR),corresponding to situations where the chosen change-point model and that of the real data have different regularity; optical communication with phase and frequency modulation of periodic intensity functions; and localization of a radioactive (Poisson) source on the plane using K detectors. Each chapter concludes with a series of problems, and state-of-the-art references are provided, making the book invaluable to researchers and students working in areas which actively use inhomogeneous Poisson processes.

Author: Daniel M. Zuckerman
Publisher: CRC Press
ISBN: 1420073796
Category : Mathematics
Languages : en
Pages : 356

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From the hydrophobic effect to protein-ligand binding, statistical physics is relevant in almost all areas of molecular biophysics and biochemistry, making it essential for modern students of molecular behavior. But traditional presentations of this material are often difficult to penetrate. Statistical Physics of Biomolecules: An Introduction brin

Author: Kerson Huang
Publisher: World Scientific
ISBN: 9812561439
Category : Science
Languages : en
Pages : 159

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This book introduces an approach to protein folding from the point of view of kinetic theory. There is an abundance of data on protein folding, but few proposals are available on the mechanism driving the process. Here, presented for the first time, are suggestion on possible research directions, as developed by the author in collaboration with C. C. Lin. The first half of this invaluable book contains a concise but relatively complete review of relevant topics in statistical mechanics and kinetic theory. It includes standard topics such as thermodynamics, the Maxwell-Boltzmann distribution, and ensemble theory. Special discussions include the dynamics of phase transitions, and Brownian motion as an illustration of stochastic processes. The second half develops topics in molecular biology and protein structure, with a view to discovering mechanisms underlying protein folding. Attention is focused on the energy flow through the protein in its folded state. A mathematical model, based on the Brownian motion of coupled harmonic oscillators, is worked out in the appendix.

Author: Bernard H. Lavenda
Publisher: Wiley-Interscience
ISBN:
Category : Science
Languages : en
Pages : 392

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There is a single, central theme to this book: the connection between entropy and probability is through a law of error for extensive thermodynamic variables and Boltzmann’s principle is a consequence of it. This is the missing link that removes the ambiguity from Boltzmann’s principle and serves as an extremely powerful tool in the analysis of physical phenomena which can be subjected to a statistical analysis. Moreover, it will allow statistical thermodynamics to be viewed from the perspective of the theory of mathematical statistics.

Author: Prof. Jan Hermans
Publisher: John Wiley & Sons
ISBN: 1118733770
Category : Science
Languages : en
Pages : 411

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Book Description
Progressively builds a deep understanding of macromolecular behavior Based on each of the authors' roughly forty years of biophysics research and teaching experience, this text instills readers with a deep understanding of the biophysics of macromolecules. It sets a solid foundation in the basics by beginning with core physical concepts such as thermodynamics, quantum chemical models, molecular structure and interactions, and water and the hydrophobic effect. Next, the book examines statistical mechanics, protein-ligand binding, and conformational stability. Finally, the authors address kinetics and equilibria, exploring underlying theory, protein folding, and stochastic models. With its strong emphasis on molecular interactions, Equilibria and Kinetics of Biological Macromolecules offers new insights and perspectives on proteins and other macromolecules. The text features coverage of: Basic theory, applications, and new research findings Related topics in thermodynamics, quantum mechanics, statistical mechanics, and molecular simulations Principles and applications of molecular simulations in a dedicated chapter and interspersed throughout the text Macromolecular binding equilibria from the perspective of statistical mechanics Stochastic processes related to macromolecules Suggested readings at the end of each chapter include original research papers, reviews and monographs, enabling readers to explore individual topics in greater depth. At the end of the text, ten appendices offer refreshers on mathematical treatments, including probability, computational methods, Poisson equations, and defining molecular boundaries. With its classroom-tested pedagogical approach, Equilibria and Kinetics of Biological Macromolecules is recommended as a graduate-level textbook for biophysics courses and as a reference for researchers who want to strengthen their understanding of macromolecular behavior.

Author: C.V. Heer
Publisher: Elsevier
ISBN: 0323144411
Category : Science
Languages : en
Pages : 619

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Book Description
Statistical Mechanics, Kinetic Theory, and Stochastic Processes presents the statistical aspects of physics as a "living and dynamic" subject. In order to provide an elementary introduction to kinetic theory, physical systems in which particle-particle interaction can be neglected are considered. Transport phenomena in the free-molecular flow region for gases and the transport of thermal radiation are discussed. Discrete random processes such as random walk, binomial and Poisson distributions, and throwing of dice are studied by means of the characteristic function. Comprised of 11 chapters, this book begins with an introduction to the mass point gas as well as some elementary properties of space and velocity distributions. The discussion then turns to radiation and its interaction with an atom; probability, statistics, and conditional probability; intermolecular interactions; transport phenomena; and statistical thermodynamics. Molecular systems at low densities are also considered, together with non-ideal and real gases; liquids and solids; and stochastic processes, noise, and fluctuations. In particular, the response of atoms and molecules to perturbations and scattering by crystals, liquids, and high-pressure gases are examined. This monograph will be useful for undergraduate students, practitioners, and researchers in physics.

Author: Richard Chace Tolman
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 340

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Author: Ralf Blossey
Publisher: CRC Press
ISBN: 0429994605
Category : Computers
Languages : en
Pages : 246

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Book Description
Computational biology has developed rapidly during the last two decades following the genomic revolution which culminated in the sequencing of the human genome. More than ever it has developed into a field which embraces computational methods from different branches of the exact sciences: pure and applied mathematics, computer science, theoretical physics. This Second Edition provides a solid introduction to the techniques of statistical mechanics for graduate students and researchers in computational biology and biophysics. Material has been reorganized to clarify equilbrium and nonequilibrium aspects of biomolecular systems Content has been expanded, in particular in the treatment of the electrostatic interactions of biomolecules and the application of non-equilibrium statistical mechanics to biomolecules New network-based approaches for the study of proteins are presented. All treated topics are put firmly in the context of the current research literature, allowing the reader to easily follow an individual path into a specific research field. Exercises and Tasks accompany the presentations of the topics with the intention of enabling the readers to test their comprehension of the developed basic concepts.