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Advanced maths students have been waiting for this, the third edition of a text that deals with one of the fundamentals of their field. This book contains a systematic treatment of probability from the ground up, starting with intuitive ideas and gradually developing more sophisticated subjects, such as random walks and the Kalman-Bucy filter. Examples are discussed in detail, and there are a large number of exercises. This third edition contains new problems and exercises, new proofs, expanded material on financial mathematics, financial engineering, and mathematical statistics, and a final chapter on the history of probability theory.
This volume collects research methodologies for both basic and translational studies of myelin authored by experts in the field. Chapters in this book are divided into three parts: Part One focuses on visualizing myelin and studying it on a biochemical level; Part Two looks at cell culture systems used to uncover key mechanisms that regulate formation and maintenance of myelin; and Part Three discusses modeling disorders of myelin in both CNS and PNS, and therapeutic strategies for targeting these disorders. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.Cutting-edge and comprehensive, Myelin: Methods and Protocols is a valuable resource for physiologists, molecular biologists, anatomists, cell and developmental biologists, and physician-scientists working in the field of myelin biology and the disorders associated with it.
This volume provides in-depth descriptions and discussion of clinical trial designs based on novel data analysis of high-quality trials for 11 different neurological conditions in order to ultimately improve the quality of care in neurology. Some of the conditions discussed in this book are stroke, traumatic brain injury, Alzheimer¿s disease, epilepsy, and tumors of the central nervous system. In Neuromethods series style, chapters include the kind of detail and key advice from the specialists needed to get successful results in your research center and clinical investigation. Thorough and comprehensive, Clinical Trials in Neurology is a valuable guide for individuals in the research, education, and clinical practice fields, specifically in the fields of medicine, physical therapy, occupational therapy, nursing, and public health. This volume is also an important resource for clinicians aiming to improve their understanding in methodology of clinical trials.
This detailed book explores methods to isolate, characterize, and investigate key lung innate immune cells. Beginning with an overview, the volume then continues with methods for creating in vitro and in vivo model systems to study inflammatory lung diseases. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.Authoritative and cutting-edge, Lung Innate Immunity and Inflammation: Methods and Protocols aims to be a guidebook and will be of value and interest to researchers investigating innate immunity and inflammation in the lung as well as other organs and tissues.
This volume focuses on explorative activity-based proteomics, biomedical applications of activity-based proteomics, and chemical strategies in activity-based proteomics providing a concise overview of activity-based protein profiling. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.Authoritative and cutting-edge, Activity-Based Proteomics: Methods and Protocols aims to ensure successful results in the further study of this vital field.
This volume covers methodologies, ranging from the molecular level to the network level, used to study receptor-receptor interactions in heteroreceptor complexes inside the central nervous system. The chapters in this book cover topics such as biochemical binding techniques; receptor autoradiography; superfused synaptosome techniques; RTK-GPCR interaction; fluorescence and bioluminiscence energy transfer methods, Co-IP cytometry-based FRET; and novel bioinformatic approaches to understand membrane heteroreceptor complexes and the global panorama of their receptor-receptor interactions. In Neuromethods series style, chapters include the kind of detail and key advice from the specialists needed to get successful results in your laboratory.Cutting-edge and thorough, Receptor-Receptor Interactions in the Central Nervous System is a valuable resource for any scientist or researcher interested in this field of study.
This book provides methodological information on establishing reliable and reproducible experimental models of cardiovascular diseases. Chapters detail practical protocols from expert laboratories focusing on cardiovascular research, leading to novel discoveries in cardiac biology, and the development of effective therapeutic approaches. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Authoritative and cutting-edge, Experimental Models of Cardiovascular Disease: Methods and Protocols aims to ensure successful results in the further study of this vital field.
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar- gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap- ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de- voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in- tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.
This volume focuses on mitophagy providing methods and protocols on the methodologies and the background information on monitoring mitophagy. Chapters detail the analysis of mitophagy in connection with Parkinson¿s disease, especially young onset Parkinson¿s disease impaired by PINK/parkin pathway, Drosophila, yeast, and Caenorhabditis elegans models. Written in the highly successful Methods in Molecular Biology series format, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step, readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls. Authoritative and cutting-edge, Mitophagy: Methods and Protocols aims to stimulate and encourage researchers to carry out ongoing and new investigations into mitophagy.
Heavy-tailed probability distributions are an important component in the modeling of many stochastic systems. They are frequently used to accurately model inputs and outputs of computer and data networks and service facilities such as call centers. They are an essential for describing risk processes in finance and also for insurance premia pricing, and such distributions occur naturally in models of epidemiological spread. The class includes distributions with power law tails such as the Pareto, as well as the lognormal and certain Weibull distributions.One of the highlights of this new edition is that it includes problems at the end of each chapter. Chapter 5 is also updated to include interesting applications to queueing theory, risk, and branching processes. New results are presented in a simple, coherent and systematic way.Graduate students as well as modelers in the fields of finance, insurance, network science and environmental studies will find this book to be an essential reference.
This book describes a variety of current feedback operational amplifier (CFOA) architectures and their applications in analog signal processing/generation. Coverage includes a comprehensive survey of commercially available, off-the-shelf integrated circuit CFOAs, as well as recent advances made on the design of CFOAs, including design innovations for bipolar and CMOS CFOAs. This book serves as a single-source reference to the topic, as well as a catalog of over 200 application circuits which would be useful not only for students, educators and researchers in apprising them about the recent developments in the area but would also serve as a comprehensive repertoire of useful circuits for practicing engineers who might be interested in choosing an appropriate CFOA-based topology for use in a given application.
Linear mixed-effects models (LMMs) are an important class of statistical models that can be used to analyze correlated data. Such data are encountered in a variety of fields including biostatistics, public health, psychometrics, educational measurement, and sociology. This book aims to support a wide range of uses for the models by applied researchers in those and other fields by providing state-of-the-art descriptions of the implementation of LMMs in R. To help readers to get familiar with the features of the models and the details of carrying them out in R, the book includes a review of the most important theoretical concepts of the models. The presentation connects theory, software and applications. It is built up incrementally, starting with a summary of the concepts underlying simpler classes of linear models like the classical regression model, and carrying them forward to LMMs. A similar step-by-step approach is used to describe the R tools for LMMs. All the classes of linear models presented in the book are illustrated using real-life data. The book also introduces several novel R tools for LMMs, including new class of variance-covariance structure for random-effects, methods for influence diagnostics and for power calculations. They are included into an R package that should assist the readers in applying these and other methods presented in this text.
As physicists, mathematicians or engineers, we are all involved with mathematical calculations in our everyday work. Most of the laborious, complicated, and time-consuming calculations have to be done over and over again if we want to check the validity of our assumptions and derive new phenomena from changing models. Even in the age of computers, we often use paper and pencil to do our calculations. However, computer programs like Mathematica have revolutionized our working methods. Mathematica not only supports popular numerical calculations but also enables us to do exact analytical calculations by computer. Once we know the analytical representations of physical phenomena, we are able to use Mathematica to create graphical representations of these relations. Days of calculations by hand have shrunk to minutes by using Mathematica. Results can be verified within a few seconds, a task that took hours if not days in the past. The present text uses Mathematica as a tool to discuss and to solve examples from physics. The intention of this book is to demonstrate the usefulness of Mathematica in everyday applications. We will not give a complete description of its syntax but demonstrate by examples the use of its language. In particular, we show how this modern tool is used to solve classical problems. viii Preface This second edition of Mathematica in Theoretical Physics seeks to prevent the objectives and emphasis of the previous edition.
This book targets custom IC designers who are encountering variation issues in their designs, especially for modern process nodes at 45nm and below, such as statistical process variations, environmental variations, and layout effects. It teaches them the state-of-the-art in Variation-Aware Design tools, which help the designer to analyze quickly the variation effects, identify the problems, and fix the problems. Furthermore, this book describes the algorithms and algorithm behavior/performance/limitations, which is of use to designers considering these tools, designers using these tools, CAD researchers, and CAD managers.
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