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Stochastic Dynamics Of Reacting Biomolecules

Stochastic Dynamics Of Reacting Biomolecules
Author: Werner Ebeling
Publisher: World Scientific
Total Pages: 343
Release: 2003-01-29
Genre: Science
ISBN: 981448749X

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This is a book about the physical processes in reacting complex molecules, particularly biomolecules. In the past decade scientists from different fields such as medicine, biology, chemistry and physics have collected a huge amount of data about the structure, dynamics and functioning of biomolecules. Great progress has been achieved in exploring the structure of complex molecules. However, there is still a lack of understanding of the dynamics and functioning of biological macromolecules. In particular this refers to enzymes, which are the basic molecular machines working in living systems. This book contributes to the exploration of the physical mechanisms of these processes, focusing on critical aspects such as the role of nonlinear excitations and of stochastic effects. An extensive range of original results has been obtained in the last few years by the authors, and these results are presented together with a comprehensive survey of the state of the art in the field.


Stochastic Dynamics in Computational Biology

Stochastic Dynamics in Computational Biology
Author: Stefanie Winkelmann
Publisher: Springer Nature
Total Pages: 284
Release: 2021-01-04
Genre: Mathematics
ISBN: 3030623874

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The aim of this book is to provide a well-structured and coherent overview of existing mathematical modeling approaches for biochemical reaction systems, investigating relations between both the conventional models and several types of deterministic-stochastic hybrid model recombinations. Another main objective is to illustrate and compare diverse numerical simulation schemes and their computational effort. Unlike related works, this book presents a broad scope in its applications, from offering a detailed introduction to hybrid approaches for the case of multiple population scales to discussing the setting of time-scale separation resulting from widely varying firing rates of reaction channels. Additionally, it also addresses modeling approaches for non well-mixed reaction-diffusion dynamics, including deterministic and stochastic PDEs and spatiotemporal master equations. Finally, by translating and incorporating complex theory to a level accessible to non-mathematicians, this book effectively bridges the gap between mathematical research in computational biology and its practical use in biological, biochemical, and biomedical systems.


Stochastic Chemical Reaction Systems in Biology

Stochastic Chemical Reaction Systems in Biology
Author: Hong Qian
Publisher: Springer Nature
Total Pages: 364
Release: 2021-10-18
Genre: Mathematics
ISBN: 3030862526

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This book provides an introduction to the analysis of stochastic dynamic models in biology and medicine. The main aim is to offer a coherent set of probabilistic techniques and mathematical tools which can be used for the simulation and analysis of various biological phenomena. These tools are illustrated on a number of examples. For each example, the biological background is described, and mathematical models are developed following a unified set of principles. These models are then analyzed and, finally, the biological implications of the mathematical results are interpreted. The biological topics covered include gene expression, biochemistry, cellular regulation, and cancer biology. The book will be accessible to graduate students who have a strong background in differential equations, the theory of nonlinear dynamical systems, Markovian stochastic processes, and both discrete and continuous state spaces, and who are familiar with the basic concepts of probability theory.


Biomolecular Structure and Dynamics

Biomolecular Structure and Dynamics
Author: G. Vergoten
Publisher: Springer Science & Business Media
Total Pages: 327
Release: 2012-12-06
Genre: Science
ISBN: 9401154848

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Biomolecular Structure and Dynamics describes recent fundamental advances in the experimental and theoretical study of molecular dynamics and stochastic dynamic simulations, X-ray crystallography and NMR of biomolecules, the structure of proteins and its prediction, time resolved Fourier transform IR spectroscopy of biomolecules, the computation of free energy, applications of vibrational CD of nucleic acids, and solid state NMR. Further presentations include recent advances in UV resonance Raman spectroscopy of biomolecules, semiempirical MO methods, empirical force fields, quantitative studies of the structure of proteins in water by Fourier transform IR, and density functional theory. Metal-ligand interactions, DFT treatment of organometallic and biological systems, and simulation vs. X-ray and far IR experiments are also discussed in some detail. The book provides a broad perspective of the current theoretical aspects and recent experimental findings in the field of biomolecular dynamics, revealing future research trends, especially in areas where theoreticians and experimentalists could fruitfully collaborate.


IUTAM Symposium on Nonlinear Stochastic Dynamics and Control

IUTAM Symposium on Nonlinear Stochastic Dynamics and Control
Author: W.Q. Zhu
Publisher: Springer Science & Business Media
Total Pages: 331
Release: 2011-03-07
Genre: Science
ISBN: 9400707320

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Non-linear stochastic systems are at the center of many engineering disciplines and progress in theoretical research had led to a better understanding of non-linear phenomena. This book provides information on new fundamental results and their applications which are beginning to appear across the entire spectrum of mechanics. The outstanding points of these proceedings are Coherent compendium of the current state of modelling and analysis of non-linear stochastic systems from engineering, applied mathematics and physics point of view. Subject areas include: Multiscale phenomena, stability and bifurcations, control and estimation, computational methods and modelling. For the Engineering and Physics communities, this book will provide first-hand information on recent mathematical developments. The applied mathematics community will benefit from the modelling and information on various possible applications.


Computational Chemistry

Computational Chemistry
Author: Jerzy Leszczynski
Publisher: World Scientific
Total Pages: 260
Release: 2005
Genre: Computers
ISBN: 9812560971

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"Vast progress in the area of computational chemistry has been achieved in the last decade. Theoretical methods such as quantum mechanics, molecular dynamics and statistical mechanics have been successfully used to characterize chemical systems and to design new materials, drugs and chemicals. The reviews presented in this volume discuss the current advances in computational methodologies and their applications. The areas covered include materials science, nanotechnology, inorganic and biological systems. The major thrust of the book is to bring timely overviews of new findings and methods applied in the rapidly changing field of computational chemistry."--BOOK JACKET.


Computational Chemistry: Reviews Of Current Trends, Vol. 9

Computational Chemistry: Reviews Of Current Trends, Vol. 9
Author: Jerzy Leszczynski
Publisher: World Scientific
Total Pages: 258
Release: 2005-05-30
Genre: Science
ISBN: 9814481394

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Vast progress in the area of computational chemistry has been achieved in the last decade. Theoretical methods such as quantum mechanics, molecular dynamics and statistical mechanics have been successfully used to characterize chemical systems and to design new materials, drugs and chemicals. The reviews presented in this volume discuss the current advances in computational methodologies and their applications. The areas covered include materials science, nanotechnology, inorganic and biological systems. The major thrust of the book is to bring timely overviews of new findings and methods applied in the rapidly changing field of computational chemistry.


Stochastic Dynamics and Energetics of Biomolecular Systems

Stochastic Dynamics and Energetics of Biomolecular Systems
Author: Artem Ryabov
Publisher: Springer
Total Pages: 127
Release: 2015-11-28
Genre: Science
ISBN: 3319271881

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This thesis both broadens and deepens our understanding of the Brownian world. It addresses new problems in diffusion theory that have recently attracted considerable attention, both from the side of nanotechnology and from the viewpoint of pure academic research. The author focusses on the difussion of interacting particles in restricted geometries and under externally controlled forces. These geometries serve, for example, to model ion transport through narrow channels in cell membranes or a Brownian particle diffusing in an optical trap, now a paradigm for both theory and experiment. The work is exceptional in obtaining explicit analytically formulated answers to such realistic, experimentally relevant questions. At the same time, with its detailed exposition of the problems and a complete set of references, it presents a clear and broadly accessible introduction to the domain. Many of the problem settings and the corresponding exact asymptotic laws are completely new in diffusion theory.


Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems

Statistical Thermodynamics And Stochastic Theory Of Nonequilibrium Systems
Author: Ebeling Werner
Publisher: World Scientific Publishing Company
Total Pages: 344
Release: 2005-09-23
Genre: Science
ISBN: 9813104635

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This book presents both the fundamentals and the major research topics in statistical physics of systems out of equilibrium. It summarizes different approaches to describe such systems on the thermodynamic and stochastic levels, and discusses a variety of areas including reactions, anomalous kinetics, and the behavior of self-propelling particles.


Cellular Oscillatory Mechanisms

Cellular Oscillatory Mechanisms
Author: Miguel Maroto
Publisher: Springer Science & Business Media
Total Pages: 166
Release: 2008-12-19
Genre: Medical
ISBN: 0387097945

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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.