Brownian Dynamics at Boundaries and Interfaces

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Publisher : Springer
ISBN 13 : 9781461476887
Total Pages : 322 pages
Book Rating : 4.4/5 (768 download)

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Book Synopsis Brownian Dynamics at Boundaries and Interfaces by : Zeev Schuss

Download or read book Brownian Dynamics at Boundaries and Interfaces written by Zeev Schuss and published by Springer. This book was released on 2013-08-13 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions of biological micro devices such as protein ionic channels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry, biophysics, computer science, communications theory, mathematical finance theory, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematical problems that neither the kinetic theory of Maxwell and Boltzmann, nor Einstein’s and Langevin’s theories of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition of mathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who are interested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout.

Brownian Dynamics at Boundaries and Interfaces

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461476879
Total Pages : 340 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Brownian Dynamics at Boundaries and Interfaces by : Zeev Schuss

Download or read book Brownian Dynamics at Boundaries and Interfaces written by Zeev Schuss and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brownian dynamics serve as mathematical models for the diffusive motion of microscopic particles of various shapes in gaseous, liquid, or solid environments. The renewed interest in Brownian dynamics is due primarily to their key role in molecular and cellular biophysics: diffusion of ions and molecules is the driver of all life. Brownian dynamics simulations are the numerical realizations of stochastic differential equations that model the functions of biological micro devices such as protein ionic channels of biological membranes, cardiac myocytes, neuronal synapses, and many more. Stochastic differential equations are ubiquitous models in computational physics, chemistry, biophysics, computer science, communications theory, mathematical finance theory, and many other disciplines. Brownian dynamics simulations of the random motion of particles, be it molecules or stock prices, give rise to mathematical problems that neither the kinetic theory of Maxwell and Boltzmann, nor Einstein’s and Langevin’s theories of Brownian motion could predict. This book takes the readers on a journey that starts with the rigorous definition of mathematical Brownian motion, and ends with the explicit solution of a series of complex problems that have immediate applications. It is aimed at applied mathematicians, physicists, theoretical chemists, and physiologists who are interested in modeling, analysis, and simulation of micro devices of microbiology. The book contains exercises and worked out examples throughout.

Heterophase Polymerization

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Publisher : CRC Press
ISBN 13 : 1000245446
Total Pages : 328 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Heterophase Polymerization by : Hugo Hernandez

Download or read book Heterophase Polymerization written by Hugo Hernandez and published by CRC Press. This book was released on 2021-04-04 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heterophase polymerization is a century-old technology with a wide range of relevant industrial applications, including coatings, adhesives, rubbers, and many other specialized biomedical and high-performance materials. However, due to its multiscale complexity, it still remains a challenging research topic. It is a broad field covering all heterogeneous polymerization processes that result in polymer dispersions. Its technical realizations comprise emulsion polymerization, dispersion polymerization, suspension polymerization, miniemulsion polymerization, microemulsion polymerization, and others. This book is devoted to the science and technology of heterophase polymerization, considering it a generic term as well as an umbrella expression for all of its technical realizations. It presents, from a modern perspective, the basic concepts and principles required to understand the kinetics and thermodynamics of heterophase polymerization at the atomistic, molecular, macromolecular, supramolecular, colloidal, microscopic, mesoscopic, and macroscopic scales. It critically discusses the important physicochemical mechanisms involved in heterophase polymerization, such as nucleation, particle aggregation, mass transfer, swelling, spontaneous emulsification, and polymerization kinetics, along with the experimental evidences at hand.

Chemical Kinetics: Beyond The Textbook

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Author :
Publisher : World Scientific
ISBN 13 : 1786347024
Total Pages : 620 pages
Book Rating : 4.7/5 (863 download)

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Book Synopsis Chemical Kinetics: Beyond The Textbook by : Lindenberg Katja

Download or read book Chemical Kinetics: Beyond The Textbook written by Lindenberg Katja and published by World Scientific. This book was released on 2019-08-27 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Processes involving randomly moving particles, which react either upon encounter or via distance-dependent reaction rates, are ubiquitous in nature. A few stray examples are recombination of ions or holes and electrons, excitation energy migration and quenching, trapping of particles by other species, coagulation, binding of ligands and proteins to specific sites, chemotaxis, catalytically-induced self-propulsion, polymerization, growth of dendrites or aggregates, or nuclei of a new phase.Several decades ago, it was recognized that the kinetic behavior in some systems with reactions and random transport is strongly affected by many factors, which were not taken into account in previous studies. These are, to name but a few, fluctuations in the spatial distributions of the reactants and fluctuations of the reactivity, some essentially many-particle phenomena, effects of anomalous diffusion, molecular crowding, as well as the internal geometry of the reaction bath. Within recent years, along with a growing interest in chemical processes ocurring in biological systems or cellular environments, numerous advances have been made and considerable knowledge has been acquired. These seminal contributions are, however, scattered among many journals and no attempt has been made so far to present a unified picture.This book presents a general overview of different contemporary facets of chemical kinetics in a variety of different environments. It includes 23 seminal works and reviews on different aspects of reaction processes in chemical, physical and biophysical systems, both theoretical and experimental.

Asymptotics of Elliptic and Parabolic PDEs

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Author :
Publisher : Springer
ISBN 13 : 3319768956
Total Pages : 444 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Asymptotics of Elliptic and Parabolic PDEs by : David Holcman

Download or read book Asymptotics of Elliptic and Parabolic PDEs written by David Holcman and published by Springer. This book was released on 2018-05-25 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a monograph on the emerging branch of mathematical biophysics combining asymptotic analysis with numerical and stochastic methods to analyze partial differential equations arising in biological and physical sciences. In more detail, the book presents the analytic methods and tools for approximating solutions of mixed boundary value problems, with particular emphasis on the narrow escape problem. Informed throughout by real-world applications, the book includes topics such as the Fokker-Planck equation, boundary layer analysis, WKB approximation, applications of spectral theory, as well as recent results in narrow escape theory. Numerical and stochastic aspects, including mean first passage time and extreme statistics, are discussed in detail and relevant applications are presented in parallel with the theory. Including background on the classical asymptotic theory of differential equations, this book is written for scientists of various backgrounds interested in deriving solutions to real-world problems from first principles.

Stochastic Narrow Escape in Molecular and Cellular Biology

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Publisher : Springer
ISBN 13 : 1493931032
Total Pages : 259 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis Stochastic Narrow Escape in Molecular and Cellular Biology by : David Holcman

Download or read book Stochastic Narrow Escape in Molecular and Cellular Biology written by David Holcman and published by Springer. This book was released on 2015-09-08 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers recent developments in the non-standard asymptotics of the mathematical narrow escape problem in stochastic theory, as well as applications of the narrow escape problem in cell biology. The first part of the book concentrates on mathematical methods, including advanced asymptotic methods in partial equations, and is aimed primarily at applied mathematicians and theoretical physicists who are interested in biological applications. The second part of the book is intended for computational biologists, theoretical chemists, biochemists, biophysicists, and physiologists. It includes a summary of output formulas from the mathematical portion of the book and concentrates on their applications in modeling specific problems in theoretical molecular and cellular biology. Critical biological processes, such as synaptic plasticity and transmission, activation of genes by transcription factors, or double-strained DNA break repair, are controlled by diffusion in structures that have both large and small spatial scales. These may be small binding sites inside or on the surface of the cell, or narrow passages between subcellular compartments. The great disparity in spatial scales is the key to controlling cell function by structure. This volume reports recent progress on resolving analytical and numerical difficulties in extracting properties from experimental data, biophysical models, and from Brownian dynamics simulations of diffusion in multi-scale structures.

An Introduction to Continuous-Time Stochastic Processes

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Author :
Publisher : Springer Nature
ISBN 13 : 3030696537
Total Pages : 560 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis An Introduction to Continuous-Time Stochastic Processes by : Vincenzo Capasso

Download or read book An Introduction to Continuous-Time Stochastic Processes written by Vincenzo Capasso and published by Springer Nature. This book was released on 2021-06-18 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook, now in its fourth edition, offers a rigorous and self-contained introduction to the theory of continuous-time stochastic processes, stochastic integrals, and stochastic differential equations. Expertly balancing theory and applications, it features concrete examples of modeling real-world problems from biology, medicine, finance, and insurance using stochastic methods. No previous knowledge of stochastic processes is required. Unlike other books on stochastic methods that specialize in a specific field of applications, this volume examines the ways in which similar stochastic methods can be applied across different fields. Beginning with the fundamentals of probability, the authors go on to introduce the theory of stochastic processes, the Itô Integral, and stochastic differential equations. The following chapters then explore stability, stationarity, and ergodicity. The second half of the book is dedicated to applications to a variety of fields, including finance, biology, and medicine. Some highlights of this fourth edition include a more rigorous introduction to Gaussian white noise, additional material on the stability of stochastic semigroups used in models of population dynamics and epidemic systems, and the expansion of methods of analysis of one-dimensional stochastic differential equations. An Introduction to Continuous-Time Stochastic Processes, Fourth Edition is intended for graduate students taking an introductory course on stochastic processes, applied probability, stochastic calculus, mathematical finance, or mathematical biology. Prerequisites include knowledge of calculus and some analysis; exposure to probability would be helpful but not required since the necessary fundamentals of measure and integration are provided. Researchers and practitioners in mathematical finance, biomathematics, biotechnology, and engineering will also find this volume to be of interest, particularly the applications explored in the second half of the book.

Sparse Grids and Applications - Munich 2018

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Publisher : Springer Nature
ISBN 13 : 3030813622
Total Pages : 268 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Sparse Grids and Applications - Munich 2018 by : Hans-Joachim Bungartz

Download or read book Sparse Grids and Applications - Munich 2018 written by Hans-Joachim Bungartz and published by Springer Nature. This book was released on 2022-03-14 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sparse grids are a popular tool for the numerical treatment of high-dimensional problems. Where classical numerical discretization schemes fail in more than three or four dimensions, sparse grids, in their different flavors, are frequently the method of choice. This volume of LNCSE presents selected papers from the proceedings of the fifth workshop on sparse grids and applications, and demonstrates once again the importance of this numerical discretization scheme. The articles present recent advances in the numerical analysis of sparse grids in connection with a range of applications including uncertainty quantification, plasma physics simulations, and computational chemistry, to name but a few.

Fokker-Planck-Kolmogorov Equations

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Publisher : American Mathematical Soc.
ISBN 13 : 1470425580
Total Pages : 482 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Fokker-Planck-Kolmogorov Equations by : Vladimir I. Bogachev

Download or read book Fokker-Planck-Kolmogorov Equations written by Vladimir I. Bogachev and published by American Mathematical Soc.. This book was released on 2015-12-17 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an exposition of the principal concepts and results related to second order elliptic and parabolic equations for measures, the main examples of which are Fokker-Planck-Kolmogorov equations for stationary and transition probabilities of diffusion processes. Existence and uniqueness of solutions are studied along with existence and Sobolev regularity of their densities and upper and lower bounds for the latter. The target readership includes mathematicians and physicists whose research is related to diffusion processes as well as elliptic and parabolic equations.

Modeling the 3D Conformation of Genomes

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Publisher : CRC Press
ISBN 13 : 1351386999
Total Pages : 319 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Modeling the 3D Conformation of Genomes by : Guido Tiana

Download or read book Modeling the 3D Conformation of Genomes written by Guido Tiana and published by CRC Press. This book was released on 2019-01-15 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a timely summary of physical modeling approaches applied to biological datasets that describe conformational properties of chromosomes in the cell nucleus. Chapters explain how to convert raw experimental data into 3D conformations, and how to use models to better understand biophysical mechanisms that control chromosome conformation. The coverage ranges from introductory chapters to modeling aspects related to polymer physics, and data-driven models for genomic domains, the entire human genome, epigenome folding, chromosome structure and dynamics, and predicting 3D genome structure.

Electrical Phenomena at Interfaces and Biointerfaces

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Publisher : John Wiley & Sons
ISBN 13 : 0470582553
Total Pages : 870 pages
Book Rating : 4.4/5 (75 download)

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Book Synopsis Electrical Phenomena at Interfaces and Biointerfaces by : Hiroyuki Ohshima

Download or read book Electrical Phenomena at Interfaces and Biointerfaces written by Hiroyuki Ohshima and published by John Wiley & Sons. This book was released on 2012-02-14 with total page 870 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book bridges three different fields: nanoscience, bioscience, and environmental sciences. It starts with fundamental electrostatics at interfaces and includes a detailed description of fundamental theories dealing with electrical double layers around a charged particle, electrokinetics, and electrical double layer interaction between charged particles. The stated fundamentals are provided as the underpinnings of sections two, three, and four, which address electrokinetic phenomena that occur in nanoscience, bioscience, and environmental science. Applications in nanomaterials, fuel cells, electronic materials, biomaterials, stems cells, microbiology, water purificiaion, and humic substances are discussed.

Soft Interfaces

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Publisher : Oxford University Press
ISBN 13 : 0192506404
Total Pages : 528 pages
Book Rating : 4.1/5 (925 download)

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Book Synopsis Soft Interfaces by : Lydéric Bocquet

Download or read book Soft Interfaces written by Lydéric Bocquet and published by Oxford University Press. This book was released on 2017-09-22 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the distinctive and useful phenomena of soft matter come from its interaction with interfaces. Examples are the peeling of a strip of adhesive tape, the coating of a surface, the curling of a fiber via capillary forces, or the collapse of a porous sponge. These interfacial phenomena are distinct from the intrinsic behavior of a soft material like a gel or a microemulsion. Yet many forms of interfacial phenomena can be understood via common principles valid for many forms of soft matter. Our goal in organizing this school was to give students a grasp of these common principles and their many ramifications and possibilities. The Les Houches Summer School comprised over fifty 90-minute lectures over four weeks. Four four-lecture courses by Howard Stone, Michael Cates, David Nelson and L. Mahadevan served as an anchor for the program. A number of shorter courses and seminars rounded out the school. This volume collects the lecture notes of the school.

Dynamics of Internal Layers and Diffusive Interfaces

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Publisher : SIAM
ISBN 13 : 9781611970180
Total Pages : 99 pages
Book Rating : 4.9/5 (71 download)

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Book Synopsis Dynamics of Internal Layers and Diffusive Interfaces by : Paul C. Fife

Download or read book Dynamics of Internal Layers and Diffusive Interfaces written by Paul C. Fife and published by SIAM. This book was released on 1988-01-01 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interfacial phenomena are commonplace in physics, chemistry, biology, and in various disciplines bridging these fields. They occur whenever a continuum is present which can exist in at least two different chemical or physical "states," and there is some mechanism which generates or enforces a spatial separation between these states. The separation boundary is then called an interface. In the examples studied here, the separation boundary, and its internal structure, result from the balance between two opposing tendencies: a diffusive effect which attempts to mix and smooth the properties of the material, and a physical or chemical mechanism which works to drive it to one or the other pure state. This volume is unique in that the treatment of flames, as well as internal layer dynamics "including curvature effects," is more detailed and systematic than in publications.

Computer Simulations of Surfaces and Interfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 9401001731
Total Pages : 422 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Computer Simulations of Surfaces and Interfaces by : Burkhard Dünweg

Download or read book Computer Simulations of Surfaces and Interfaces written by Burkhard Dünweg and published by Springer Science & Business Media. This book was released on 2013-03-07 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Studies of surfaces and interactions between dissimilar materials or phases are vital for modern technological applications. Computer simulation methods are indispensable in such studies and this book contains a substantial body of knowledge about simulation methods as well as the theoretical background for performing computer experiments and analyzing the data. The book is self-contained, covering a range of topics from classical statistical mechanics to a variety of simulation techniques, including molecular dynamics, Langevin dynamics and Monte Carlo methods. A number of physical systems are considered, including fluids, magnets, polymers, granular media, and driven diffusive systems. The computer simulation methods considered include both standard and accelerated versions. The simulation methods are clearly related to the fundamental principles of thermodynamics and statistical mechanics.

A Modern Course in Transport Phenomena

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Publisher : Cambridge University Press
ISBN 13 : 1108619738
Total Pages : 537 pages
Book Rating : 4.1/5 (86 download)

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Book Synopsis A Modern Course in Transport Phenomena by : David C. Venerus

Download or read book A Modern Course in Transport Phenomena written by David C. Venerus and published by Cambridge University Press. This book was released on 2018-03-15 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced text presents a unique approach to studying transport phenomena. Bringing together concepts from both chemical engineering and physics, it makes extensive use of nonequilibrium thermodynamics, discusses kinetic theory, and sets out the tools needed to describe the physics of interfaces and boundaries. More traditional topics such as diffusive and convective transport of momentum, energy and mass are also covered. This is an ideal text for advanced courses in transport phenomena, and for researchers looking to expand their knowledge of the subject. The book also includes: • Novel applications such as complex fluids, transport at interfaces and biological systems, • Approximately 250 exercises with solutions (included separately) designed to enhance understanding and reinforce key concepts, • End-of-chapter summaries.

Interface Method and Green's Function Based Poisson Boltzmann Equation Solver and Interface Technique Based Molecular Dynamics

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Publisher :
ISBN 13 :
Total Pages : 292 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Interface Method and Green's Function Based Poisson Boltzmann Equation Solver and Interface Technique Based Molecular Dynamics by : Weihua Geng

Download or read book Interface Method and Green's Function Based Poisson Boltzmann Equation Solver and Interface Technique Based Molecular Dynamics written by Weihua Geng and published by . This book was released on 2008 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Ionic Soft Matter: Modern Trends in Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9781402036620
Total Pages : 442 pages
Book Rating : 4.0/5 (366 download)

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Book Synopsis Ionic Soft Matter: Modern Trends in Theory and Applications by : Douglas Henderson

Download or read book Ionic Soft Matter: Modern Trends in Theory and Applications written by Douglas Henderson and published by Springer Science & Business Media. This book was released on with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: