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Author: Slobodan Zdravković
Publisher: Springer Nature
ISBN: 9811953236
Category : Science
Languages : en
Pages : 369
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Book Description
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.
Author: Slobodan Zdravković
Publisher: Springer Nature
ISBN: 9811953236
Category : Science
Languages : en
Pages : 369
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Book Description
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.
Author: Victor A. Karachevtsev
Publisher: CRC Press
ISBN: 9814613975
Category : Medical
Languages : en
Pages : 428
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Book Description
Nanobiophysics is a new branch of science that operates at the interface of physics, biology, chemistry, material science, nanotechnology, and medicine. This book is the first one devoted to nanobiophysics and introduces this field with a focus on some selected topics related to the physics of biomolecular nanosystems, including nucleosomal DNA and
Author: Jin Ma
Publisher: Springer
ISBN: 3540488316
Category : Mathematics
Languages : en
Pages : 285
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Book Description
This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.
Author: Jorge Carballido-Landeira
Publisher: Springer
ISBN: 303016585X
Category : Mathematics
Languages : en
Pages : 111
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Book Description
This book collects recent advances in the field of nonlinear dynamics in biological systems. Focusing on medical applications as well as more fundamental questions in biochemistry, it presents recent findings in areas such as control in chemically driven reaction-diffusion systems, electrical wave propagation through heart tissue, neural network growth, chiral symmetry breaking in polymers and mechanochemical pattern formation in the cytoplasm, particularly in the context of cardiac cells. It is a compilation of works, including contributions from international scientists who attended the “2nd BCAM Workshop on Nonlinear Dynamics in Biological Systems,” held at the Basque Center for Applied Mathematics, Bilbao in September 2016. Embracing diverse disciplines and using multidisciplinary approaches – including theoretical concepts, simulations and experiments – these contributions highlight the nonlinear nature of biological systems in order to be able to reproduce their complex behavior. Edited by the conference organizers and featuring results that represent recent findings and not necessarily those presented at the conference, the book appeals to applied mathematicians, biophysicists and computational biologists.
Author: Arthur T. Winfree
Publisher: Springer Science & Business Media
ISBN: 3662224925
Category : Mathematics
Languages : en
Pages : 543
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Book Description
As 1 review these pages, the last of them written in Summer 1978, some retrospec tive thoughts come to mind which put the whole business into better perspective for me and might aid the prospective reader in choosing how to approach this volume. The most conspicuous thought in my mind at present is the diversity of wholly independent explorations that came upon phase singularities, in one guise or another, during the past decade. My efforts to gather the published literature during the last phases of actually writing a whole book about them were almost equally divided between libraries of Biology, Chemistry, Engineering, Mathematics, Medicine, and Physics. A lot of what 1 call "gathering " was done somewhat in anticipation in the form of cönjecture, query, and prediction based on analogy between developments in different fields. The consequence throughout 1979 was that our long-suffering publisher re peatedly had to replace such material by citation of unexpected flurries of papers giving substantive demonstration. 1 trust that the authors of these many excellent reports, and especially of those I only found too late, will forgive the brevity of allusion I feIt compelled to observe in these substitutions. A residue of loose ends is largely collected in the index under "QUERIES. " It is c1ear to me already that the materials I began to gather several years ago represented only the first flickering of what turns out to be a substantial conflagration.
Author: V.I. Arnold
Publisher: Springer Science & Business Media
ISBN: 1461210372
Category : Mathematics
Languages : en
Pages : 366
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Book Description
Since the first edition of this book, geometrical methods in the theory of ordinary differential equations have become very popular and some progress has been made partly with the help of computers. Much of this progress is represented in this revised, expanded edition, including such topics as the Feigenbaum universality of period doubling, the Zoladec solution, the Iljashenko proof, the Ecalle and Voronin theory, the Varchenko and Hovanski theorems, and the Neistadt theory. In the selection of material for this book, the author explains basic ideas and methods applicable to the study of differential equations. Special efforts were made to keep the basic ideas free from excessive technicalities. Thus the most fundamental questions are considered in great detail, while of the more special and difficult parts of the theory have the character of a survey. Consequently, the reader needs only a general mathematical knowledge to easily follow this text. It is directed to mathematicians, as well as all users of the theory of differential equations.
Author: Yves Engelborghs
Publisher: Humana
ISBN: 9781493963157
Category : Medical
Languages : en
Pages : 0
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Book Description
Reflecting the expanding field’s need for reliable protocols, Fluorescence Spectroscopy and Microscopy: Methods and Protocols offers techniques from a worldwide team of experts on this versatile and vital subject. The topics covered fall into four broad categories: steady-state fluorescence spectroscopy, time-resolved fluorescence spectroscopy, fluorescent probe development, and the various sub-categories of fluorescence microscopy, such as fluorescence recovery after photobleaching (FRAP), live cell FRET imaging (FRETim), fluorescence lifetime imaging (FLIM), fluorescence fluctuation spectroscopy (FFS), and single-molecule fluorescence spectroscopy (smFS). Written as a part of the popular Methods in Molecular Biology series, chapters include the kind of unambiguous detail and key implementation advice that proves essential for successful results. Comprehensive and practical, Fluorescence Spectroscopy and Microscopy: Methods and Protocols aims to guide both ‘novice’ and established scientists toward furthering their research with these invaluable techniques.
Author: AVOLI
Publisher: Birkhäuser
ISBN: 9781468467697
Category : Science
Languages : en
Pages : 482
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Book Description
In recent years there has been intense interest in the basic mechanisms of epilepsy. Many symposia and monographs have been devoted to this topic. These reviews, however, have focused almost exclusively on studies performed in models of partial (or focal) epilepsy. It was natural that scientists interested in the fundamental mechanism of epileptogenesis at the cellular level were attracted to work on models in which the epileptogenic dysfunction could be confined to ever-smaller populations of neurons. Many of the most illuminating studies done in this field in the recent past have been carried out in vitro on brain slices or on dissociated neuronal cultures. Much valuable insight into the mechanisms of epileptogenesis has been obtained in this manner. One cannot, however, automatically assume that mechanisms elucidated in such exquisitely "focal" models are applicable to forms of epilepsy in which seizures from their very start involve the entire brain. One of the most difficult questions that arises in this context is how epileptogenic dysfunction, which can be understood in terms of mechanisms involving a few contiguous cells, can lead to what appears to be a simultaneous onset of seizure discharge in virtually all areas of the brain. Most of the workers who have made excellent contributions to the understanding of the cellular mechanisms involved in epileptogenesis have paid virtually no attention to this important problem.
Author: Ole E Barndorff-Nielsen
Publisher: Springer Science & Business Media
ISBN: 1461201977
Category : Mathematics
Languages : en
Pages : 414
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Book Description
A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov processes, and diffusions are extensions and generalizations of these processes. In the past, representatives of the Lévy class were considered most useful for applications to either Brownian motion or the Poisson process. Nowadays the need for modeling jumps, bursts, extremes and other irregular behavior of phenomena in nature and society has led to a renaissance of the theory of general Lévy processes. Researchers and practitioners in fields as diverse as physics, meteorology, statistics, insurance, and finance have rediscovered the simplicity of Lévy processes and their enormous flexibility in modeling tails, dependence and path behavior. This volume, with an excellent introductory preface, describes the state-of-the-art of this rapidly evolving subject with special emphasis on the non-Brownian world. Leading experts present surveys of recent developments, or focus on some most promising applications. Despite its special character, every topic is aimed at the non- specialist, keen on learning about the new exciting face of a rather aged class of processes. An extensive bibliography at the end of each article makes this an invaluable comprehensive reference text. For the researcher and graduate student, every article contains open problems and points out directions for futurearch. The accessible nature of the work makes this an ideal introductory text for graduate seminars in applied probability, stochastic processes, physics, finance, and telecommunications, and a unique guide to the world of Lévy processes.
Author: Alain Bensoussan
Publisher: Springer Science & Business Media
ISBN: 1461485088
Category : Science
Languages : en
Pages : 132
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Book Description
Mean field games and Mean field type control introduce new problems in Control Theory. The terminology “games” may be confusing. In fact they are control problems, in the sense that one is interested in a single decision maker, whom we can call the representative agent. However, these problems are not standard, since both the evolution of the state and the objective functional is influenced but terms which are not directly related to the state or the control of the decision maker. They are however, indirectly related to him, in the sense that they model a very large community of agents similar to the representative agent. All the agents behave similarly and impact the representative agent. However, because of the large number an aggregation effect takes place. The interesting consequence is that the impact of the community can be modeled by a mean field term, but when this is done, the problem is reduced to a control problem.
