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Innovations in Biomolecular Modeling and Simulations
This two volume set describes innovations in biomolecular modeling and simulation, in both the algorithmic and application fronts.
Introductory Lectures on Knot Theory
More recently, Khovanov introduced link homology as a generalization of the Jones polynomial to homology of chain complexes and Ozsvath and Szabo developed Heegaard-Floer homology, that lifts the Alexander polynomial. These two significantly different theories are closely related and the dependencies are the object of intensive study. These ideas mark the beginning of a new era in knot theory that includes relationships with four-dimensional problems and the creation of new forms of algebraic topology relevant to knot theory. The theory of skein modules is an older development also having its roots in Jones discovery. Another significant and related development is the theory of virtual knots originated independently by Kauffman and by Goussarov Polyak and Viro in the '90s. All these topics and their relationships are the subject of the survey papers in this book.
Energy Of Knots And Conformal Geometry
Energy of knots is a theory that was introduced to create a “canonical configuration” of a knot — a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a “canonical configuration” of a knot in each knot type. It also considers this problems in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting through numerical experiments.
Physical and Numerical Models in Knot Theory
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year. This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the ...
Topology in Molecular Biology
Providing a course of modern topology intended for biologists and physicists, this book presents a class of results in molecular biology for which topological methods and ideas are important. These include: the large-scale conformation properties of DNA; computational methods; the structure of proteins; and other problems in molecular biology.
Topological Polymer Chemistry
There are examples aplenty in the macroscopic world that demonstrate the form of objects directing their functions and properties. On the other hand, the fabrication of extremely small objects having precisely defined structures has only recently become an attractive challenge, which is now opening the door to nanoscience and nanotechnology.In the field of synthetic polymer chemistry, a number of critical breakthroughs have been achieved during the first decade of this century to produce an important class of polymers having a variety of cyclic and multicyclic topologies. These developments now offer unique opportunities in polymer materials design to create unprecedented properties and func...
Scanning Tunneling Microscopy
The publication entitled "Surface Studies by Scanning Tunneling Mi Rl croscopy" by Binnig, Rohrer, Gerber and Weibel of the IBM Research Lab oratory in Riischlikon in 1982 immediately raised considerable interest in the sur face science community. It was demonstrated in Reference R1 that images from atomic structures of surfaces like individual steps could be obtained simply by scanning the surface with a sharp metal tip, which was kept in a constant distance of approximately 10 A from the sample surface. The distance control in scanning tunneling microscopy (STM) was realized by a feedback circuit, where the electri cal tunneling current through the potential barrier between tip and sample ...
Computer Networks
This book constitutes the refereed proceedings of the 18th Conference on Computer Networks, CN 2011, held in Ustron, Poland, in June 2011. The 50 revised full papers presented were carefully reviewed and selected for inclusion in the book. The papers can be divided into the following subject groups: molecular networks; network issues related to nano and quantum technology; new technologies related to the Computer Networks; fundamentals of computer networks architecture and programming; internet networks; data security in distributed systems; industrial computer networks; applications of computer networks.
Computer Networks
This book constitutes the thoroughly refereed proceedings of the 24th International Conference on Computer Networks, CN 2017, held in Brunów, Poland, in June 2017. The 35 full papers presented were carefully reviewed and selected from 80 submissions. They are dealing with the topics computer networks; teleinformatics and telecommunications; new technologies; queueing theory; innovative applications.
Mathematical Approaches to Biomolecular Structure and Dynamics
This IMA Volume in Mathematics and its Applications MATHEMATICAL APPROACHES TO BIOMOLECULAR STRUCTURE AND DYNAMICS is one of the two volumes based on the proceedings of the 1994 IMA Sum mer Program on "Molecular Biology" and comprises Weeks 3 and 4 of the four-week program. Weeks 1 and 2 appeared as Volume 81: Genetic Mapping and DNA Sequencing. We thank Jill P. Mesirov, Klaus Schulten, and De Witt Sumners for organizing Weeks 3 and 4 of the workshop and for editing the proceedings. We also take this opportunity to thank the National Institutes of Health (NIH) (National Center for Human Genome Research), the National Science Foundation (NSF) (Biological Instrumen tation and Resources), and t...
