Download or read book Nonlinear Discrete Models for DNA Dynamics written by and published by . This book was released on 1989 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper we report the investigations on a problem related to DNA dynamics: thermal generation of localized pulses that are called solitons. The thermal generation of solitons in circular homogeneous DNA is investigated by calculating the number of solitons as a function of the absolute temperature. These calculations are effected by using two different models for the DNA molecule. In both models the parameters are chosen to match experimentally measured properties of the molecule. We find that a significant number of solitons is generated at physiological temperatures, and a T13 law is followed at low temperatures. 20 refs., 2 figs.
Download or read book Nonlinear Models for DNA Dynamics written by V. Muto and published by . This book was released on 1988 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nonlinear Physics of DNA written by Ludmila V. Yakushevich and published by John Wiley & Sons. This book was released on 2006-01-24 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book was the first on the physics of DNA to go beyond the simple (simplified) 'linear' approach, and it has since been found that the inclusion of nonlinear effects leads to a significantly improved interpretation of experimental data. This new edition naturally retains this approach, but has been completely revised, updated and expanded to cover recent developments. Beginning with introductory chapters on DNA structure and dynamics, the book also includes a comparison between linear and nonlinear approaches to the DNA molecule, a chapter devoted to the statistics of nonlinear excitations of DNA, and examples for the interpretation of experimental data on the dynamics of DNA in terms of nonlinear theory. Essential reading for researchers in biophysics and nonlinear physics, allowing biologists, chemists and physicists to continue developing new and improved techniques of investigating the DNA molecule.
Download or read book Discrete and Continuum Modeling of DNA Dynamics and Stability Analysis written by Mohammed Tantawy and published by LAP Lambert Academic Publishing. This book was released on 2015-02-05 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, an over view to the discrete and continuum model equations of double-stranded and double-helical is presented. They are formulated, via the transverse, longitudinal or torsional motions. Some new continuum models were constructed. The Stability analysis of some soliton of DNA dynamics model were studied via singular Sturm-Liouville Eigenvalue Problems. It was shown that the soliton wave is unstable. Thus under small disturbance dissociation of bases or the deterioration of the DNA membrane may occur.
Download or read book Mathematical Models of Non Linear Excitations Transfer Dynamics and Control in Condensed Systems and Other Media written by Ludmilla A. Uvarova and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this book are derived from the Third International Conference of the same name, held June 29-July 3, 1998. Topics include: nonlinear exaltations in condensed systems, evolution of complex systems, dynamics and structure of molecular and biomolecular systems, mathematical models of transfer processes in nonlinear systems and numerical modeling and algorithms.
Download or read book Future Directions of Nonlinear Dynamics in Physical and Biological Systems written by P.L. Christiansen and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early in 1990 a scientific committee was formed for the purpose of organizing a high-level scientific meeting on Future Directions of Nonlinear Dynamics in Physical and Biological Systems, in honor of Alwyn Scott's 60th birthday (December 25, 1991). As preparations for the meeting proceeded, they were met with an unusually broad-scale and high level of enthusiasm on the part of the international nonlinear science community, resulting in a participation by 168 scientists from 23 different countries in the conference, which was held July 23 to August 11992 at the Laboratory of Applied Mathematical Physics and the Center for Modelling, Nonlinear Dynamics and Irreversible Thermodynamics (MIDIT) of the Technical University of Denmark. During the meeting about 50 lectures and 100 posters were presented in 9 working days. The contributions to this present volume have been grouped into the following chapters: 1. Integrability, Solitons, and Coherent Structures 2. Nonlinear Evolution Equations and Diffusive Systems 3. Chaotic and Stochastic Dynamics 4. Classical and Quantum Lattices and Fields 5. Superconductivity and Superconducting Devices 6. Nonlinear Optics 7. Davydov Solitons and Biomolecular Dynamics 8. Biological Systems and Neurophysics. AI Scott has made early and fundamental contributions to many of these different areas of nonlinear science. They form an important subset of the total number of the papers and posters presented at the meeting. Other papers from the meeting are being published in a special issue of Physica D Nonlinear Phenomena.
Download or read book A Nonlinear Model for DNA Dynamics written by and published by . This book was released on 1989 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper the thermal equilibrium number of solitons in DNA as a function of absolute temperature and the number of base pairs is calculated. These calculations are effected by modeling DNA as a Toda lattice with parameters chosen to match experimentally measured properties of DNA. It is found that a significant number of solitons is generated at physiological temperature. 23 refs., 2 figs.
Download or read book Discrete and Topological Models in Molecular Biology written by Nataša Jonoska and published by Springer Science & Business Media. This book was released on 2013-12-23 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theoretical tools and insights from discrete mathematics, theoretical computer science, and topology now play essential roles in our understanding of vital biomolecular processes. The related methods are now employed in various fields of mathematical biology as instruments to "zoom in" on processes at a molecular level. This book contains expository chapters on how contemporary models from discrete mathematics – in domains such as algebra, combinatorics, and graph and knot theories – can provide perspective on biomolecular problems ranging from data analysis, molecular and gene arrangements and structures, and knotted DNA embeddings via spatial graph models to the dynamics and kinetics of molecular interactions. The contributing authors are among the leading scientists in this field and the book is a reference for researchers in mathematics and theoretical computer science who are engaged with modeling molecular and biological phenomena using discrete methods. It may also serve as a guide and supplement for graduate courses in mathematical biology or bioinformatics, introducing nontraditional aspects of mathematical biology.
Download or read book Mathematical Modeling and Applications in Nonlinear Dynamics written by Albert C.J. Luo and published by Springer. This book was released on 2016-01-28 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.
Download or read book Nonlinear Science at the Dawn of the 21st Century written by P.L. Christiansen and published by Springer. This book was released on 2008-01-11 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear science is by now a well established field of research at the interface of many traditional disciplines and draws on the theoretical concepts developed in physics and mathematics. The present volume gathers the contributions of leading scientists to give the state of the art in many areas strongly influenced by nonlinear research, such as superconduction, optics, lattice dynamics, biology and biomolecular dynamics. While this volume is primarily intended for researchers working in the field care, has been taken that it will also be of benefit to graduate students or nonexpert scientist wishing to familiarize themselves with the current status of research.
Download or read book Advanced Mechanical Models of DNA Elasticity written by Yakov M Tseytlin and published by Academic Press. This book was released on 2016-04-08 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Mechanical Models of DNA Elasticity includes coverage on 17 different DNA models and the role of elasticity in biological functions with extensive references. The novel advanced helicoidal model described reflects the direct connection between the molecule helix structure and its specific properties, including nonlinear features and transitions. It provides an introduction to the state of the field of DNA mechanics, known and widely used models with their short analysis, as well as coverage on experimental methods and data, the influence of electrical, magnetic, ionic conditions on the persistence length, and dynamics with viscosity influence. It then addresses the need to understand the nature of the non-linear overstretching transition of DNA under force and why DNA has a negative twist-stretch coupling. Includes coverage of 17 contemporary models of DNA mechanics with analysis Provides comparison of DNA and RNA mechanical features Covers advances in experimental techniques including AFM, X-ray, and optical tweezers Contains extensive references for further reading
Download or read book Simple Models of Non linear DNA Dynamics written by and published by . This book was released on 1994 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Nonlinear Universe written by Alwyn C. Scott and published by Springer Science & Business Media. This book was released on 2007-10-02 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in Alwyn Scott’s inimitable style, one that readers will find both lucid and accessible, this masterwork elucidates the explosion of activity in nonlinear science in recent decades. The book explains the wide-ranging implications of nonlinear phenomena for future developments in many areas of modern science, including mathematics, physics, engineering, chemistry, biology, and neuroscience. Arguably as important as quantum theory, modern nonlinear science is essential for understanding the scientific developments of the twenty-first century.
Download or read book Waves And Stability In Continuous Media Proceedings Of The Vth International Meeting written by Salvatore Rionero and published by World Scientific. This book was released on 1991-03-29 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: In view of the rapid growth in both experimental and theoretical studies of multiphoton processes and multiphoton spectroscopy of atoms, ions and molecules in many interdisciplinary fields, an Advanced Series that contains review papers readable not only to active researchers in these areas but also to those who are not experts in the field but intend to enter the field is very necessary. This series attempts to serve this purpose. Each review article is written in a self-contained manner by the experts in the area so that the readers can grasp the knowledge in the area without too much preparation. The collection of topics in this volume will prove useful, valuable and stimulating not only to active researchers but also to other scientists in the areas of biology, chemistry, materials science and physics.
Download or read book Nonlinear Dynamics of Nanobiophysics written by Slobodan Zdravković and published by Springer Nature. This book was released on 2022-12-07 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights important aspects of nonlinear dynamics of biophysical nanosystems, such as DNA, alpha helix, and microtubules. It presents the differences between the linear and nonlinear models in these molecules and includes interesting chapters on Soliton dynamics of the DNA molecule. This book is meant not only for researchers but also for both graduate and undergraduate students. Chapters include derivations, detailed explanations, and exercises for students. Therefore, the book is convenient to be used as a textbook in suitable courses.
Download or read book Nonlinear Hybrid Continuous Discrete Time Models written by Marat Akhmet and published by Springer Science & Business Media. This book was released on 2011-05-03 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.
Download or read book The Frenkel Kontorova Model written by Oleg M. Braun and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: An overview of the basic concepts, methods and applications of nonlinear low-dimensional solid state physics based on the Frenkel--Kontorova model and its generalizations. The book covers many important topics such as the nonlinear dynamics of discrete systems, the dynamics of solitons and their interaction, commensurate and incommensurate systems, statistical mechanics of nonlinear systems, and nonequilibrium dynamics of interacting many-body systems.
