Topology and Physics of Circular DNA (1992) PDF Download
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Author: Alexander Vologodskii
Publisher: CRC Press
ISBN: 135135583X
Category : Medical
Languages : en
Pages : 192
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Book Description
Topology and Physics of Circular DNA presents comprehensive coverage of the physical properties of circular DNA. The author examines how topological constraints arising from cyclization of DNA lead to distinctive properties that make closed molecules radically different from linear DNA. The phenomenon of supercoiling, its geometric and topological analysis, and the formation of noncanonical structures in circular DNA under the influence of supercoiling are emphasized. The combination of consistent theoretical analysis and detailed treatment of major experimental approaches make Topology and Physics of Circular DNA an important reference volume for biophysicists, biochemists, molecular biologists, and researchers and students who want to expand their understanding of circular DNA.
Author: Alexander Vologodskii
Publisher: CRC Press
ISBN: 135135583X
Category : Medical
Languages : en
Pages : 192
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Book Description
Topology and Physics of Circular DNA presents comprehensive coverage of the physical properties of circular DNA. The author examines how topological constraints arising from cyclization of DNA lead to distinctive properties that make closed molecules radically different from linear DNA. The phenomenon of supercoiling, its geometric and topological analysis, and the formation of noncanonical structures in circular DNA under the influence of supercoiling are emphasized. The combination of consistent theoretical analysis and detailed treatment of major experimental approaches make Topology and Physics of Circular DNA an important reference volume for biophysicists, biochemists, molecular biologists, and researchers and students who want to expand their understanding of circular DNA.
Author: Cameron Mca Gordon
Publisher: World Scientific
ISBN: 9814492876
Category : Mathematics
Languages : en
Pages : 580
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Book Description
There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon-Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2,C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman, bracket skein module), and finally quantum invariants of 3-manifolds. This proceedings volume covers all those exciting topics.
Author: A. Stasiak
Publisher: World Scientific
ISBN: 981279607X
Category : Crafts & Hobbies
Languages : en
Pages : 426
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Book Description
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.
Author: Jorge Alberto Calvo
Publisher: World Scientific
ISBN: 9812561870
Category : Mathematics
Languages : en
Pages : 640
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Book Description
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 field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.
Author: Alain Goriely
Publisher: Springer
ISBN: 038787710X
Category : Mathematics
Languages : en
Pages : 651
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Book Description
This monograph presents a general mathematical theory for biological growth. It provides both a conceptual and a technical foundation for the understanding and analysis of problems arising in biology and physiology. The theory and methods are illustrated on a wide range of examples and applications. A process of extreme complexity, growth plays a fundamental role in many biological processes and is considered to be the hallmark of life itself. Its description has been one of the fundamental problems of life sciences, but until recently, it has not attracted much attention from mathematicians, physicists, and engineers. The author herein presents the first major technical monograph on the problem of growth since D’Arcy Wentworth Thompson’s 1917 book On Growth and Form. The emphasis of the book is on the proper mathematical formulation of growth kinematics and mechanics. Accordingly, the discussion proceeds in order of complexity and the book is divided into five parts. First, a general introduction on the problem of growth from a historical perspective is given. Then, basic concepts are introduced within the context of growth in filamentary structures. These ideas are then generalized to surfaces and membranes and eventually to the general case of volumetric growth. The book concludes with a discussion of open problems and outstanding challenges. Thoughtfully written and richly illustrated to be accessible to readers of varying interests and background, the text will appeal to life scientists, biophysicists, biomedical engineers, and applied mathematicians alike.
Author: Gregory S. Chirikjian
Publisher: Courier Dover Publications
ISBN: 0486795640
Category : Mathematics
Languages : en
Pages : 881
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Book Description
Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.
Author:
Publisher:
ISBN:
Category : American literature
Languages : en
Pages : 2318
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Book Description
A world list of books in the English language.
Author: Gregory S. Chirikjian
Publisher: CRC Press
ISBN: 1000697339
Category : Mathematics
Languages : en
Pages : 771
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Book Description
First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
Author: Proceedings of the National Academy of Sciences
Publisher: National Academies Press
ISBN: 030907424X
Category : Science
Languages : en
Pages : 303
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Book Description
There has been a sea change in how we view genetic recombination. When germ cells are produced in higher organisms, genetic recombination assures the proper segregation of like chromosomes. In the course of that process, called meiosis, recombination not only assures segregation of one chromosome of each type to progeny germ cells, but also further shuffles the genetic deck, contributing to the unique inheritance of individuals. In a nutshell, that is the classical view of recombination. We have also known for many years that in bacteria recombination plays a role in horizontal gene transfer and in replication itself, the latter by establishing some of the replication forks that are the structural scaffolds for copying DNA. In recent years, however, we have become increasingly aware that replication, which normally starts without any help from recombination, is a vulnerable process that frequently leads to broken DNA. The enzymes of recombination play a vital role in the repair of those breaks. The recombination enzymes can function via several different pathways that mediate the repair of breaks, as well as restoration of replication forks that are stalled by other kinds of damage to DNA. Thus, to the classical view of recombination as an engine of inheritance we must add the view of recombination as a vital housekeeping function that repairs breaks suffered in the course of replication. We have also known for many years that genomic instability--including mutations, chromosomal rearrangements, and aneuploidy--is a hallmark of cancer cells. Although genomic instability has many contributing causes, including faulty replication, there are many indications that recombination, faulty or not, contributes to genome instability and cancer as well. The (Nas colloquium) Links Between Recombination and Replication: Vital Roles of Recombination was convened to broaden awareness of this evolving area of research. Papers generated by this colloquium are published here. To encourage the desired interactions of specialists, we invited some contributions that deal only with recombination or replication in addition to contributions on the central thesis of functional links between recombination and replication. To aid the nonspecialist and specialist alike, we open the set of papers with a historical overview by Michael Cox and we close the set with a commentary on the meeting and the field by Andrei Kuzminov.
Author: E.R. Semlyen
Publisher: Springer Science & Business Media
ISBN: 0306471175
Category : Technology & Engineering
Languages : en
Pages : 804
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Book Description
Cyclic Polymers (Second Edition) reviews the many recent advances in this rapidly expanding subject since the publication of the first edition in 1986. The preparation, characterisation, properties and applications of a wide range of organic and inorganic cyclic oligomers and polymers are described in detail, together with many examples of catenanes and rotaxanes. The importance of large cyclics in biological chemistry and molecular biology is emphasised by a wide coverage of circular DNA, cyclic peptides and cyclic oligosaccharides and polysaccharides. Experimental techniques and theoretical aspects of cyclic polymers are included, as well as examples of their uses such as ring opening polymerisation reactions to give commercially important materials. This book covers a wide range of topics which should be of interest to many scientific research workers (for example, in polymer science, chemistry and molecular biology), as well as providing a reference text for undergraduate and graduate students.
