Lattice Models of Polymers
Lattice Models of Polymers

Author: Carlo Vanderzande

Publisher: Cambridge University Press

Published: 1998-04-30

Total Pages: 240

ISBN-13: 0521559936

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This book provides an introduction to lattice models of polymers. This is an important topic both in the theory of critical phenomena and the modelling of polymers. The first two chapters introduce the basic theory of random, directed and self-avoiding walks. The next two chapters develop and expand this theory to explore the self-avoiding walk in both two and three dimensions. Following chapters describe polymers near a surface, dense polymers, self-interacting polymers and branched polymers. The book closes with discussions of some geometrical and topological properties of polymers, and of self-avoiding surfaces on a lattice. The volume combines results from rigorous analytical and numerical work to give a coherent picture of the properties of lattice models of polymers. This book will be valuable for graduate students and researchers working in statistical mechanics, theoretical physics and polymer physics. It will also be of interest to those working in applied mathematics and theoretical chemistry.

The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles
The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

Author: E. J. Janse van Rensburg

Publisher: OUP Oxford

Published: 2015-05-14

Total Pages: 563

ISBN-13: 0191644676

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The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.

Index Medicus
Index Medicus

Author:

Publisher:

Published: 2004

Total Pages: 2036

ISBN-13:

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Vols. for 1963- include as pt. 2 of the Jan. issue: Medical subject headings.

New Models of the Cell Nucleus: Crowding, Entropic Forces, Phase Separation, and Fractals
New Models of the Cell Nucleus: Crowding, Entropic Forces, Phase Separation, and Fractals

Author: Ronald Hancock

Publisher: Academic Press

Published: 2013-12-27

Total Pages: 511

ISBN-13: 0128002522

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International Review of Cell and Molecular Biology presents current advances and comprehensive reviews in cell biology--both plant and animal. Articles address structure and control of gene expression, nucleocytoplasmic interactions, control of cell development and differentiation, and cell transformation and growth. Impact factor for 2012: 4.973. Ideas from the fields of biophysics, physical chemistry, of polymer and colloid, and soft matter science have helped clarify the structure and functions of the cell nucleus. The development of powerful methods for modeling conformations and interactions of macromolecules has also contributed. The book aims to encourage cell and molecular biologists to become more familiar with and understand these new concepts and methods, and the crucial contributions they are making to our perception of the nucleus. This is the first volume to present a comprehensive review of New Models of the Cell Nucleus

Multiscale Modeling of Particle Interactions
Multiscale Modeling of Particle Interactions

Author: Michael King

Publisher: John Wiley & Sons

Published: 2010-03-30

Total Pages: 398

ISBN-13: 047057982X

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Discover how the latest computational tools are building our understanding of particle interactions and leading to new applications With this book as their guide, readers will gain a new appreciation of the critical role that particle interactions play in advancing research and developing new applications in the biological sciences, chemical engineering, toxicology, medicine, and manufacturing technology The book explores particles ranging in size from cations to whole cells to tissues and processed materials. A focus on recreating complex, real-world dynamical systems helps readers gain a deeper understanding of cell and tissue mechanics, theoretical aspects of multiscale modeling, and the latest applications in biology and nanotechnology. Following an introductory chapter, Multiscale Modeling of Particle Interactions is divided into two parts: Part I, Applications in Nanotechnology, covers: Multiscale modeling of nanoscale aggregation phenomena: applications in semiconductor materials processing Multiscale modeling of rare events in self-assembled systems Continuum description of atomic sheets Coulombic dragging and mechanical propelling of molecules in nanofluidic systems Molecular dynamics modeling of nanodroplets and nanoparticles Modeling the interactions between compliant microcapsules and patterned surfaces Part II, Applications in Biology, covers: Coarse-grained and multiscale simulations of lipid bilayers Stochastic approach to biochemical kinetics In silico modeling of angiogenesis at multiple scales Large-scale simulation of blood flow in microvessels Molecular to multicellular deformation during adhesion of immune cells under flow Each article was contributed by one or more leading experts and pioneers in the field. All readers, from chemists and biologists to engineers and students, will gain new insights into how the latest tools in computational science can improve our understanding of particle interactions and support the development of novel applications across the broad spectrum of disciplines in biology and nanotechnology.

Polymer and Cell Dynamics
Polymer and Cell Dynamics

Author: Wolfgang Alt

Publisher: Springer Science & Business Media

Published: 2003-08-25

Total Pages: 330

ISBN-13: 9783764369248

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Polymer and cell dynamics play an important role in processes like tumor growth, metastasis, embryogenesis, immune reactions and regeneration. Based on an international workshop on numerical simulations of polymer and cell dynamics in Bad Honnef (Germany) in 2000, this volume provides an overview of the relevant mathematical and numerical methods, their applications and limits. Polymer and Cell Dynamics will be of interest to scientists and advanced undergraduates.

Mechanistic Approaches to Interactions of Electric and Electromagnetic Fields with Living Systems
Mechanistic Approaches to Interactions of Electric and Electromagnetic Fields with Living Systems

Author: Martin Blank

Publisher: Springer Science & Business Media

Published: 2013-11-11

Total Pages: 440

ISBN-13: 1489919686

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Although there is general agreement that exogenous electric and electromagnetic fields influence and modulate the properties of biological systems. there is no concensus regarding the mechanisms by which such fields operate. It is the purpose of this volume to bring together and examine critically the mechanistic models and concepts that have been proposed. We have chosen to arrange the papers in terms of the level of biological organization emphasized by the contributors. Some papers overlap categories. but the progression from ions and membrane surfaces. through macromolecules and the membrane matrix to integrated systems. establishes a mechanistic chain of causality that links the basic interactions in the relatively well understood simple systems to the complex living systems. where all effects occur simultaneously. The backgrounds of the invited contributors include biochemistry. biophysics. cell biology. electrical engineering. electrochemistry. electrophysiology. medicine and physical chemistry. As a result of this diversity. the mechanistic models reflect the differing approaches used by these disciplines to explain the same phenomena. Areas of agreement define the common ground. while the areas of divergence provide opportunities for refining our ideas through further experimentation. To facilitate the interaction between the different points of view, the authors have clearly indicated those published observations that they are trying to explain. i.e. the experiments that have been critical in their thinking. This should establish a concensus regarding important observations. In the discussion of theories.

Journal of Physics A
Journal of Physics A

Author:

Publisher:

Published: 1999

Total Pages: 632

ISBN-13:

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Focuses on fundamental mathematical and computational methods underpinning physics. Relevant to statistical physics, chaotic and complex systems, classical and quantum mechanics, classical and quantum integrable systems and classical and quantum field theory.

Topology and Geometry in Polymer Science
Topology and Geometry in Polymer Science

Author: Stuart G. Whittington

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 209

ISBN-13: 1461217121

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This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title. This workshop was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Stuart G. Whittington, De Witt Sumners, and Timothy Lodge for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE This book is the product of a workshop on Topology and Geometry of Polymers, held at the IMA in June 1996. The workshop brought together topologists, combinatorialists, theoretical physicists and polymer scientists, who share an interest in characterizing and predicting the microscopic en tanglement properties of polymers, and their effect on macroscopic physical properties.