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Microarray technology is a major experimental tool for functional genomic explorations, and will continue to be a major tool throughout this decade and beyond. The recent explosion of this technology threatens to overwhelm the scientific community with massive quantities of data. Because microarray data analysis is an emerging field, very few analytical models currently exist. Methods of Microarray Data Analysis II is the second book in this pioneering series dedicated to this exciting new field. In a single reference, readers can learn about the most up-to-date methods, ranging from data normalization, feature selection, and discriminative analysis to machine learning techniques. Currently, there are no standard procedures for the design and analysis of microarray experiments. Methods of Microarray Data Analysis II focuses on a single data set, using a different method of analysis in each chapter. Real examples expose the strengths and weaknesses of each method for a given situation, aimed at helping readers choose appropriate protocols and utilize them for their own data set. In addition, web links are provided to the programs and tools discussed in several chapters. This book is an excellent reference not only for academic and industrial researchers, but also for core bioinformatics/genomics courses in undergraduate and graduate programs.

DNA microarrays --- DNA microarrays. --- Data processing --- Biochemistry. --- Human genetics. --- Statistics. --- Biochemistry, general. --- Human Genetics. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Statistics . --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Genetics --- Heredity, Human --- Human biology --- Physical anthropology --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Biology --- Chemistry --- Medical sciences --- Composition --- DNA biochips --- Microarrays, DNA --- Biochips --- Immobilized nucleic acids

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How is genetic variability shaped by natural selection, demographic factors, and random genetic drift? To approach this question, we introduce and analyze a number of probability models beginning with the basics, and ending at the frontiers of current research. Throughout the book, the theory is developed in close connection with examples from the biology literature that illustrate the use of these results. Along the way, there are many numerical examples and graphs to illustrate the conclusions. This is the second edition and is twice the size of the first one. The material on recombination and the stepping stone model have been greatly expanded, there are many results form the last five years, and two new chapters on diffusion processes develop that viewpoint. This book is written for mathematicians and for biologists alike. No previous knowledge of concepts from biology is assumed, and only a basic knowledge of probability, including some familiarity with Markov chains and Poisson processes. The book has been restructured into a large number of subsections and written in a theorem-proof style, to more clearly highlight the main results and allow readers to find the results they need and to skip the proofs if they desire. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of eight books and 160 research papers, most of which concern the use of probability models in genetics and ecology. He is the academic father of 39 Ph.D. students and was recently elected to the National Academy of Science. .

Stochastic processes --- Mathematical statistics --- Genetics --- Nucleotide sequence --- Probabilities. --- Evolutionary genetics --- Variation (Biology) --- Génétique --- Séquence nucléotidique --- Probabilités --- Génétique évolutive --- Statistical methods. --- Méthodes statistiques --- Génétique --- Séquence nucléotidique --- Probabilités --- Génétique évolutive --- Méthodes statistiques --- Statistics . --- Biomathematics. --- Probability Theory and Stochastic Processes. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Mathematical and Computational Biology. --- Biology --- Mathematics --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Risk

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The cross-disciplinary pursuits between modern technology, their computations and applications to the human body have exploded because of rapid developments in computer technology and mathematical computational techniques. This four-volume set, Computational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems, represents the first multi-volume treatment of this significant subject on the international scene. The work is an indispensable reference source by leading researchers, and is essential reference work for academics, practitioners, students and researchers working with: *Computers in Medicine, *Science and Mathematics in Biomaterials, Biomechanics and Bioengineering, *Computational Biophysics.

Engineering. --- Biomathematics. --- Statistics. --- Biomedical engineering. --- Materials science. --- Biomedical Engineering. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Mathematical and Computational Biology. --- Characterization and Evaluation of Materials. --- Surfaces (Physics). --- Biomedical Engineering and Bioengineering. --- Physics --- Surface chemistry --- Surfaces (Technology) --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Mathematics. --- Data processing. --- Computer simulation. --- Statistics . --- Material science --- Physical sciences --- Biology

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This book provides a theoretical background of branching process and discusses their biological applications. Branching processes are a well-developed and powerful set of tools in the field of applied probability. The range of applications considered includes molecular biology, cellular biology, human evolution, and medicine. The branching processes discussed include Galton-Watson, Markov, Bellman-Harris, Multitype, and General Processes. As an aid to understanding specific examples, two introductory chapters and two glossaries are included that provide background material in mathematics and in biology. The book will be of interest to scientists who work in quantitative modeling of biological systems, particularly probabilists, mathematical biologists, biostatisticians, cell biologists, molecular biologists, and bioinformaticians. The authors are a mathematician and cell biologist who have collaborated for more than a decade in the field of branching processes in biology.

Biology --- Branching processes. --- Biologie --- Processus ramifiés --- Mathematical models. --- Modèles mathématiques --- EPUB-LIV-FT SPRINGER-B --- Branching processes --- Biomathematics. Biometry. Biostatistics --- Stochastic processes --- Distribution (Probability theory. --- Statistics. --- Bioinformatics. --- Cytology. --- Mathematical and Computational Biology. --- Probability Theory and Stochastic Processes. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Cell Biology. --- Biomathematics. --- Probabilities. --- Statistics . --- Cell biology. --- Mathematics --- Bio-informatics --- Biological informatics --- Information science --- Computational biology --- Systems biology --- Cell biology --- Cellular biology --- Cells --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Probability --- Statistical inference --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk --- Data processing

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Guillaume Wunsch, Michel Mouchart, Josianne Duchene This book is an outcome of the activities of the Working Group on Health, Morbidity, and Mortality Differentials of the European Association for Population Studies, which was chaired for some years by one of the present editors (G. Wunsch). In collaboration with the Institute of Statistics and the Institute of Demography of the University of Louvain, this Working Group held a workshop in Louvain-Ia-Neuve a few years ago on the use of life tables in Europe, taking into account problems of data collection, methods, and models. Some of the participants in the workshop were then invited by the present editors to improve, develop, or in some cases thoroughly modify their papers in order to transform them into chapters of a book on life tables. Though life tables are one of the oldest tools in demography, and every textbook on demographic methods deals with the topic of life table construction, few books have dealt with the subject in depth. It is the hope of the editors that the present volume will fulfill to some extent this need. Though primarily written by and for demographers, this book will also be of use to actuaries working in life insurance, and to epidemiologists dealing with morbidity and cause of death. Furthermore, a topic such as competing risks theory should also be of interest to statisticians.

Demography --- Europe --- Mortality. --- Mortality --- Life expectancy. --- KBC0209-IVB --- 10.03.d --- Actuariaat ; (Sterfte)tafels --- Life expectancy --- Life tables --- Mortality tables --- Mortality, Law of --- Death --- Death (Biology) --- Expectancy of life --- Expectation of life --- Life spans (Biology) --- Vital statistics --- Premature death --- Demography. --- Population. --- Epidemiology. --- Business. --- Management science. --- Statistics . --- Public health. --- Population Economics. --- Business and Management, general. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Public Health. --- Human population --- Human populations --- Population growth --- Populations, Human --- Economics --- Human ecology --- Sociology --- Malthusianism --- Historical demography --- Social sciences --- Population --- Diseases --- Public health --- Community health --- Health services --- Hygiene, Public --- Hygiene, Social --- Public health services --- Public hygiene --- Social hygiene --- Health --- Human services --- Biosecurity --- Health literacy --- Medicine, Preventive --- National health services --- Sanitation --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Mathematics --- Econometrics --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Trade --- Commerce --- Industrial management --- Mortality - Tables.