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Book
Cardiovascular Mathematics : Modeling and simulation of the circulatory system
Authors: --- ---
ISBN: 9788847011526 9788847011519 8847011515 9786613251435 1283251434 8847011523 Year: 2009 Volume: 1 Publisher: Milano : Springer Milan : Imprint: Springer,

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Cardiovascular diseases have a major impact in Western countries. Mathematical models and numerical simulations can help the understanding of physiological and pathological processes, complementing the information provided to medical doctors by medical imaging and other non-invasive means, and opening the possibility of a better diagnosis and more in-depth surgical planning.This book offers a mathematically sound and up-to-date foundation to the training of researchers, and serves as a useful reference for the development of mathematical models and numerical simulation codes. It is structured into different chapters, written by recognized experts in the field, and however it features a common thread, with consistency of notation and expressions and systematic cross-referencing. Many fundamental issues are faced, such as: the mathematical representation of vascular geometries extracted from medical images, modelling blood rheology and the complex multilayer structure of the vascular tissue, and its possible pathologies, the mechanical and chemical interaction between blood and vascular walls; the different scales coupling local and systemic dynamics. All of these topics introduce challenging mathematical and numerical problems, demanding for advanced analysis and simulation techniques. This book is addressed to graduate students and researchers in the field of bioengineering, applied mathematics and medicine, wishing to engage themselves in the fascinating task of modeling how the cardiovascular system works.

Keywords

Mathematics. --- Applications of Mathematics. --- Cardiology. --- Mathematical Biology in General. --- Physiological, Cellular and Medical Topics. --- Mathematical Modeling and Industrial Mathematics. --- Partial Differential Equations. --- Differential equations, partial. --- Biology --- Physiology --- Mathématiques --- Cardiologie --- Cardiovascular system --- Mathematical models. --- Blood -- Diseases. --- Blood flow -- Mathematical models. --- Blood flow. --- Cardiovascular System --- Cardiovascular Physiological Processes --- Blood Physiological Phenomena --- Blood Physiological Processes --- Models, Biological --- Cardiovascular Physiological Phenomena --- Rheology --- Anatomy --- Investigative Techniques --- Circulatory and Respiratory Physiological Phenomena --- Models, Theoretical --- Blood Circulation --- Hemorheology --- Hemodynamics --- Models, Cardiovascular --- Blood Vessels --- Phenomena and Processes --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Engineering & Applied Sciences --- Human Anatomy & Physiology --- Health & Biological Sciences --- Applied Mathematics --- Circulatory system --- Vascular system --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Biomathematics. --- Mathematical and Computational Biology. --- Blood --- Circulation --- Animal physiology --- Animals --- Heart --- Internal medicine --- Math --- Science --- Partial differential equations --- Diseases --- Models, Mathematical --- Simulation methods --- Mathematics --- Engineering --- Engineering analysis --- Mathematical analysis


Book
Neural Cell Behavior and Fuzzy Logic : The Being of Neural Cells and Mathematics of Feeling
Authors: ---
ISBN: 9780387095431 038709542X 9780387095424 1441934928 9786611794859 1281794856 0387095438 Year: 2008 Publisher: New York, NY : Springer US : Imprint: Springer,

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Several theories consider the brain to be a network of neurons that process perception with simple activation functions. Real neurons, however, are far more intricate.Through reviews of literature and results from original experiments, Neural Cell Behavior and Fuzzy Logic offers a comprehensive look at these complex systems, supplying trustworthy evidence that neurons can predict the consequences of input signals and transiently change their own excitability to suit. The book also examines how fuzzy logic, the computing of perceptions, can be used to provide a theoretical description of real neuron behavior, and as a model for the "logic" the brain uses to describe environments and make decisions. This book includes sections for general and advanced readers, and will be particularly useful to neuroscience students, academics and researchers as well as to mathematicians and theoretical physicists. About the authors: Uziel Sandler is a professor in the Department of Applied Mathematics at Jerusalem College of Technology in Israel. Dr. Sandler is an expert in nonlinear properties and critical behavior of condensed matter, evolutionary computations, and fuzzy sets theory. He has published two books and more than 70 academic articles in scientific journals, and is a member in several worldwide committees in the aforementioned fields. Professor Lev E.Tsitolovsky is a senior researcher in the Life Science Department of Bar-Ilan University in Israel. He is a renowned expert in the fields of thorough mechanisms of learning, memory , and motivation , and has published over 100 scientific papers and reviews on these topics. Recently, his discovery of excitable membrane plasticity anticipated modern development in this area.


Book
Selected Topics in Cancer Modeling : Genesis, Evolution, Immune Competition, and Therapy
Authors: ---
ISBN: 9780817647131 0817647120 9780817647124 9786611927233 1281927236 0817647139 Year: 2008 Publisher: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser,

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A major challenge in the modeling and simulation of tumor growth is the mathematical description of living matter, which is far more complex than a mathematical description of inert matter. One critical piece of this challenge is creating multiscale models that take into account subcellular, cellular, and macroscopic levels of cancer. The complexity of these different levels requires the development of new mathematical methods and ideas, which are examined in this work. Written by first-rate researchers in the field of mathematical biology, this collection of selected chapters offers a comprehensive overview of state-of-the-art mathematical methods and tools for modeling and analyzing cancer phenomena. Topics covered include: * Genetic and epigenetic pathways to colon cancer * A game theoretical perspective on the somatic evolution of cancer * Nonlinear modeling and simulation of tumor growth * Tumor cords and their response to anticancer agents * Modeling diffusely invading brain tumors * Multiphase models of tumor growth * Mathematical modeling of breast carcinogenesis * Predictive models in tumor immunology * Multiscale modeling of solid tumor growth Selected Topics in Cancer Modeling is an excellent reference for researchers, practitioners, and graduate students in applied mathematics, mathematical biology, and related fields. The book has an overall aim of quantitative, predictive mathematical modeling of solid tumor growth at all scales, from genetics all the way through to treatment therapy for patients.

Keywords

Mathematics. --- Oncology. --- Applications of Mathematics. --- Physiological, Cellular and Medical Topics. --- Mathematical Biology in General. --- Mathematical Modeling and Industrial Mathematics. --- Biology --- Physiology --- Mathématiques --- Cancérologie --- Tumors --Growth --Computer simulation. --- Tumors --Growth --Mathematical models. --- Tumors --- Diseases --- Computing Methodologies --- Investigative Techniques --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Information Science --- Models, Theoretical --- Computer Simulation --- Neoplasms --- Medicine --- Health & Biological Sciences --- Oncology --- Growth --- Mathematical models --- Computer simulation --- Computer simulation. --- Mathematical models. --- Tumours --- Health informatics. --- Applied mathematics. --- Engineering mathematics. --- Biomathematics. --- Health Informatics. --- Mathematical and Computational Biology. --- Pathology --- Cysts (Pathology) --- Oncology  . --- Medical records --- Data processing. --- Math --- Science --- Animal physiology --- Animals --- Anatomy --- EHR systems --- EHR technology --- EHRs (Electronic health records) --- Electronic health records --- Electronic medical records --- EMR systems --- EMRs (Electronic medical records) --- Information storage and retrieval systems --- Medical care --- Engineering --- Engineering analysis --- Mathematical analysis --- Mathematics --- Clinical informatics --- Health informatics --- Medical information science --- Information science --- Models, Mathematical --- Simulation methods --- Data processing


Book
Statistical Methods for Environmental Epidemiology with R : A Case Study in Air Pollution and Health
Authors: ---
ISBN: 9780387781662 9780387781679 0387781668 9786611954222 1281954225 0387781676 Year: 2008 Publisher: New York, NY : Springer New York : Imprint: Springer,

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Advances in statistical methodology and computing have played an important role in allowing researchers to more accurately assess the health effects of ambient air pollution. The methods and software developed in this area are applicable to a wide array of problems in environmental epidemiology. This book provides an overview of the methods used for investigating the health effects of air pollution and gives examples and case studies in R which demonstrate the application of those methods to real data. The book will be useful to statisticians, epidemiologists, and graduate students working in the area of air pollution and health and others analyzing similar data. The authors describe the different existing approaches to statistical modeling and cover basic aspects of analyzing and understanding air pollution and health data. The case studies in each chapter demonstrate how to use R to apply and interpret different statistical models and to explore the effects of potential confounding factors. A working knowledge of R and regression modeling is assumed. In-depth knowledge of R programming is not required to understand and run the examples. Researchers in this area will find the book useful as a ``live'' reference. Software for all of the analyses in the book is downloadable from the web and is available under a Free Software license. The reader is free to run the examples in the book and modify the code to suit their needs. In addition to providing the software for developing the statistical models, the authors provide the entire database from the National Morbidity Mortality and Air Pollution Study (NMMAPS) in a convenient R package. With the database, readers can run the examples and experiment with their own methods and ideas. Roger D. Peng is an Assistant Professor in the Department of Biostatistics at the Johns Hopkins Bloomberg School of Public Health. He is a prominent researcher in the areas of air pollution and health risk assessment and statistical methods for spatial and temporal data. Dr. Peng is the author of numerous R packages and is a frequent contributor to the R mailing lists. Francesca Dominici is a Professor in the Department of Biostatistics at the Johns Hopkins Bloomberg School of Public Health. She has published extensively on hierarchical and semiparametric modeling and has been the leader of major national studies of the health effects of air pollution. She has also participated in numerous panels conducted by the National Academy of Science assessing the health effects of environmental exposures and has consulted for the US Environmental Protection Agency's Clean Air Act Advisory Board.

Keywords

Air pollution. Air purification --- Programming --- Epidemiology --- Mathematical statistics --- Air Pollution --- Environmental Health --- Models, Statistical --- Software --- Environmental health. --- Air --- R (Computer program language) --- Hygiène du milieu --- R (Langage de programmation) --- statistics & numerical data --- Pollution --- Health aspects --- Mathematical models --- Aspect sanitaire --- Modèles mathématiques --- Air --Pollution --Mathematical models. --- R (Computer program language). --- Environmental health --- Statistics as Topic --- Health Occupations --- Epidemiologic Methods --- Health Care Evaluation Mechanisms --- Models, Theoretical --- Mathematics --- Environmental Pollution --- Computing Methodologies --- Public Health --- Quality of Health Care --- Disciplines and Occupations --- Information Science --- Investigative Techniques --- Natural Science Disciplines --- Health Care Quality, Access, and Evaluation --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Environment and Public Health --- Health Care --- Environmental Engineering --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Mathematical models. --- Hygiène du milieu --- Modèles mathématiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- GNU-S (Computer program language) --- Environmental quality --- Health --- Health ecology --- Environmental aspects --- Models, Statistical. --- Statistics. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Domain-specific programming languages --- Public health --- Environmental engineering --- Health risk assessment --- Environmental Health. --- Software. --- statistics & numerical data. --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistics .

Computational Neurogenetic Modeling
Authors: ---
ISBN: 9780387483559 0387483535 9780387483535 1441943013 0387483551 Year: 2007 Publisher: New York, NY : Springer US : Imprint: Springer,

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Computational Neurogenetic Modeling Integrating Bioinformatics and Neuroscience Data, Information and Knowledge via Computational Intelligence Lubica Benuskova and Nikola Kasabov With the presence of a great amount of both brain and gene data related to brain functions and diseases, it is required that sophisticated computational neurogenetic models be created to facilitate new discoveries that will help researchers in understanding the brain in its complex interaction between genetic and neuronal processes. Initial steps in this direction are underway, using the methods of computational intelligence to integrate knowledge, data and information from genetics, bioinfomatics and neuroscience. Computational Neurogenetic Modeling offers the knowledge base for creating such models covering the areas of neuroscience, genetics, bioinformatics and computational intelligence. This multidisciplinary background is then integrated into a generic computational neurogenetic modeling methodology. computational neurogenetic models offer vital applications for learning and memory, brain aging and Alzheimer’s disease, Parkinson’s disease, mental retardation, schizophrenia and epilepsy. Key Topics Include: Brain Information Processing Methods of Computational Intelligence, Including: Artificial Neural Networks Evolutionary Computation Evolving Connectionist Systems Gene Information Processing Methodologies for Building Computational Neurogenetic Models Applications of CNGM for modeling brain functions and diseases Computational Neurogenetic Modeling is essential reading for postgraduate students and researchers in the areas of information sciences, artificial intelligence, neurosciences, bioinformatics and cognitive sciences. This volume is structured so that every chapter can be used as a reading material for research oriented courses at a postgraduate level. About the Authors: Lubica Benuskova is currently Senior Research Fellow at the Knowledge Engineering & Discovery Research Institute (KEDRI, www.kedri.info), Auckland University of Technology (AUT) in Auckland, New Zealand. She is also Associate Professor of Applied Informatics at the Faculty of Mathematics, Physics and Informatics at Comenius (Komensky) University in Bratislava, Slovakia. Her research interests are in the areas of computational neuroscience, cognitive science, neuroinformatics, computer and information sciences. Nikola Kasabov is the Founding Director and Chief Scientist of KEDRI, and a Professor and Chair of Knowledge Engineering at the School of Computer and Information Sciences at AUT. He is a leading expert in computational intelligence and knowledge engineering and has published more than 400 papers, books and patents in the areas of neural and hybrid intelligent systems, bioinformatics and neuroinformatics, speech-, image and multimodal information processing. He is a Fellow of the Royal Society of New Zealand, Senior Member of IEEE, Vice President of the International Neural Network Society and a Past President of the Asia-Pacific Neural Network Assembly.

Keywords

Engineering. --- Biomedical Engineering. --- Bioinformatics. --- Neurosciences. --- Human Genetics. --- Information Systems and Communication Service. --- Biophysics and Biological Physics. --- Human genetics. --- Information systems. --- Biomedical engineering. --- Ingénierie --- Génétique humaine --- Neurosciences --- Bio-informatique --- Génie biomédical --- Computational neuroscience. --- Neural networks (Computer science). --- Neural networks (Neurobiology). --- Neurogenetics -- Computer simulation. --- Neurogenetics -- Mathematical models. --- Neurogenetics --- Computational neuroscience --- Neural networks (Computer science) --- Neural networks (Neurobiology) --- Diseases --- Mathematical Concepts --- Musculoskeletal and Neural Physiological Phenomena --- Pattern Recognition, Automated --- Computing Methodologies --- Biology --- Models, Biological --- Information Science --- Phenomena and Processes --- Biological Science Disciplines --- Models, Theoretical --- Neural Networks (Computer) --- Nervous System Physiological Phenomena --- Artificial Intelligence --- Computational Biology --- Nervous System Diseases --- Models, Genetic --- Natural Science Disciplines --- Investigative Techniques --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Disciplines and Occupations --- Human Anatomy & Physiology --- Health & Biological Sciences --- Neuroscience --- Biomedical Engineering --- Mathematical models --- Computer simulation --- Information storage and retrieval systems --- Systèmes d'information --- Mathematical models. --- Computer simulation. --- Biological neural networks --- Nets, Neural (Neurobiology) --- Networks, Neural (Neurobiology) --- Neural nets (Neurobiology) --- Artificial neural networks --- Nets, Neural (Computer science) --- Networks, Neural (Computer science) --- Neural nets (Computer science) --- Computational neurosciences --- Nervous system --- Genetic aspects --- Computers. --- Computational Biology/Bioinformatics. --- Cognitive neuroscience --- Neurobiology --- Neural circuitry --- Artificial intelligence --- Natural computation --- Soft computing --- Computational biology --- Genetics --- Biomedical Engineering and Bioengineering. --- Heredity, Human --- Human biology --- Physical anthropology --- Neural sciences --- Neurological sciences --- Medical sciences --- Bio-informatics --- Biological informatics --- Information science --- Systems biology --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Data processing --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic brains --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Cybernetics --- Machine theory --- Calculators --- Cyberspace


Book
Computational intelligence in biomedicine and bioinformatics : current trends and applications
Authors: --- ---
ISBN: 9783540707783 354070776X 9783540707769 3540707786 Year: 2008 Publisher: Berlin ; Heidelberg : Springer,

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The purpose of this book is to provide an overview of powerful state-of-the-art methodologies that are currently utilized for biomedicine and/ or bioinformatics-oriented applications, so that researchers working in those fields could learn of new methods to help them tackle their problems. On the other hand, the CI community will find this book useful by discovering a new and intriguing area of applications. In order to help fill the gap between the scientists on both sides of this spectrum, the editors have solicited contributions from researchers actively applying computational intelligence techniques to important problems in biomedicine and bioinformatics. The book is divided into three major parts. Part I, Techniques and Methodologies, contains a selection of contributions that provide a review of several theories and methods that could be (or to some extent already are) of great benefit to practitioners in the fields of biomedicine and bioinformatics dealing with problems of data exploration and mining, search-space exploration, optimization, etc. Part II of this book, Computational Intelligence in Biomedicine, contains a collection of contributions on current state-of-the-art biomedical applications of CI in clinical oncology, neurology, pathology, and proteomics. Part II, Computational Intelligence in Biomedicine, contains a collection of chapters treating on applications of CI methods to solving bioinformatics problems including protein structure and function prediction, protein folding, finding ribosomal RNA genes, and microarray analysis.

Keywords

Engineering. --- Appl.Mathematics/Computational Methods of Engineering. --- Artificial Intelligence (incl. Robotics). --- Biomedicine general. --- Bioinformatics. --- Computer Appl. in Life Sciences. --- Medicine. --- Artificial intelligence. --- Biology --- Engineering mathematics. --- Ingénierie --- Médecine --- Intelligence artificielle --- Bio-informatique --- Biologie --- Mathématiques de l'ingénieur --- Data processing. --- Informatique --- Computational intelligence --- Computational biology --- Artificial intelligence --- Artificial Intelligence --- Neural Networks (Computer) --- Methods --- Computational Biology --- Computer Simulation --- Models, Biological --- Computing Methodologies --- Investigative Techniques --- Models, Theoretical --- Mathematical Concepts --- Pattern Recognition, Automated --- Biological Science Disciplines --- Information Science --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Phenomena and Processes --- Natural Science Disciplines --- Disciplines and Occupations --- Computer Science --- Civil Engineering --- Applied Mathematics --- Civil & Environmental Engineering --- Engineering & Applied Sciences --- Computational biology. --- Bio-informatics --- Biological informatics --- Applied mathematics. --- Bioinformatics --- Information science --- Systems biology --- Engineering --- Engineering analysis --- Mathematical analysis --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Construction --- Industrial arts --- Technology --- Data processing --- Mathematics --- Mathematical and Computational Engineering. --- Artificial Intelligence. --- Clinical sciences --- Medical profession --- Human biology --- Life sciences --- Medical sciences --- Pathology --- Physicians --- Health Workforce --- Bioinformatics . --- Computational biology . --- Biomedicine, general. --- Computational intelligence. --- Intelligence, Computational --- Soft computing

Confabulation Theory : The Mechanism of Thought
Author:
ISBN: 9783540496038 3540496033 9783540496052 9786610944323 1280944323 354049605X Year: 2007 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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Confabulation theory offers the first complete detailed explanation of the mechanism of cognition, i.e., thinking, an essential information processing capability of all enbrained Earth animals (bees, octopi, trout, ravens, humans, et al.). Concentrating on the human case, this book offers an hypothesis for the neuronal implementation of cognition, and explores the mathematics and methods of application of its mechanism. Thinking turns out to be starkly alien in comparison with all known technological approaches to information processing. While probably not yet scientifically testable, confabulation theory seems consistent with the facts of neuroscience. Beyond science, any complete detailed explanation of cognition can be investigated by applying it technologically. Multiple experiments of this nature are described in this book in complete detail. The results suggest that confabulation theory can provide the universal platform for building intelligent machines. In short, this book explains how thinking works and establishes the foundation for building machines that think. Because of the theory’s implications for philosophy, education, medicine, anthropology and social science, this book will also be of interest to scientists in those domains.

Keywords

Cerebral cortex. --- Thought and thinking --- Cortex cérébral --- Physiological aspects. --- Thought and thinking -- Physiological aspects. --- Cerebral cortex --- Models, Theoretical --- Cognition --- Investigative Techniques --- Mental Processes --- Psychological Phenomena and Processes --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Psychiatry and Psychology --- Neuroscience --- Human Anatomy & Physiology --- Health & Biological Sciences --- Physiological aspects --- Mind --- Thinking --- Thoughts --- Brain mantle --- Cortex, Cerebral --- Cortex cerebri --- Mantle of brain --- Pallium (Brain) --- Computer science. --- Neurosciences. --- Computers. --- Artificial intelligence. --- Computational linguistics. --- Popular works. --- Cognitive psychology. --- Computer Science. --- Artificial Intelligence (incl. Robotics). --- Cognitive Psychology. --- Computational Linguistics. --- Popular Science, general. --- Theory of Computation. --- Telencephalon --- Educational psychology --- Philosophy --- Psychology --- Intellect --- Logic --- Perception --- Psycholinguistics --- Self --- Consciousness. --- Science (General). --- Information theory. --- Artificial Intelligence. --- Communication theory --- Communication --- Cybernetics --- Automatic language processing --- Language and languages --- Language data processing --- Linguistics --- Natural language processing (Linguistics) --- Applied linguistics --- Cross-language information retrieval --- Mathematical linguistics --- Multilingual computing --- Apperception --- Mind and body --- Spirit --- Neural sciences --- Neurological sciences --- Medical sciences --- Nervous system --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Data processing --- Automatic computers --- Automatic data processors --- Computer hardware --- Computing machines (Computers) --- Electronic calculating-machines --- Electronic computers --- Hardware, Computer --- Computer systems --- Calculators --- Cyberspace --- Psychology, Cognitive


Book
Probability models for DNA sequence evolution
Author:
ISBN: 9780387781693 0387781684 9780387781686 9786611954239 1281954233 0387781692 Year: 2008 Publisher: New York : Springer,

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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 Sciences.

Keywords

Mathematics. --- Evolutionary Biology. --- Genetics and Population Dynamics. --- Mathematical Biology in General. --- Statistics for Life Sciences, Medicine, Health Sciences. --- Probability Theory and Stochastic Processes. --- Evolution (Biology). --- Genetics --- Biology --- Distribution (Probability theory). --- Statistics. --- Mathématiques --- Evolution (Biologie) --- Distribution (Théorie des probabilités) --- Statistique --- Evolutionary genetics --Statistical methods. --- Nucleotide sequence --Statistical methods. --- Probabilities. --- Variation (Biology) --Statistical methods. --- Evolutionary genetics --- Nucleotide sequence --- Probabilities --- Variation (Biology) --- Probability --- Evolution, Molecular --- Base Sequence --- Models, Genetic --- Molecular Structure --- Mathematical Concepts --- Models, Biological --- Biological Evolution --- Molecular Sequence Data --- Statistics as Topic --- Genetic Structures --- Documentation --- Biological Processes --- Genetic Processes --- Models, Theoretical --- Health Care Evaluation Mechanisms --- Epidemiologic Methods --- Phenomena and Processes --- Biochemical Phenomena --- Genetic Phenomena --- Biological Phenomena --- Chemical Phenomena --- Quality of Health Care --- Investigative Techniques --- Information Services --- Public Health --- Environment and Public Health --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Information Science --- Health Care Quality, Access, and Evaluation --- Health Care --- Health & Biological Sciences --- Statistical methods --- Statistical methods. --- Biological variation --- Statistical inference --- Analysis, Nucleic acid sequence --- Analysis, Nucleotide sequence --- Base sequence (Nucleic acids) --- DNA sequence --- Nucleic acid sequence analysis --- Nucleotide sequence analysis --- RNA sequence --- Sequence, Nucleotide --- Genetic evolution --- Biochemistry. --- Evolutionary biology. --- Biomathematics. --- Biochemistry, general. --- Mathematical and Computational Biology. --- Combinations --- Mathematics --- Chance --- Least squares --- Mathematical statistics --- Risk --- Heredity --- Mutation (Biology) --- Nucleic acids --- Nucleotides --- Sequence alignment (Bioinformatics) --- Evolution (Biology) --- Analysis --- Distribution (Probability theory. --- Embryology --- Mendel's law --- Adaptation (Biology) --- Breeding --- Chromosomes --- Statistical analysis --- Statistical data --- Statistical science --- Econometrics --- Biological chemistry --- Chemical composition of organisms --- Organisms --- Physiological chemistry --- Chemistry --- Medical sciences --- Animal evolution --- Animals --- Biological evolution --- Darwinism --- Evolutionary biology --- Evolutionary science --- Origin of species --- Evolution --- Biological fitness --- Homoplasy --- Natural selection --- Phylogeny --- Distribution functions --- Frequency distribution --- Characteristic functions --- Composition --- Statistics .


Book
Semi-Markov chains and hidden semi-Markov models toward applications : their use in reliability and DNA analysis
Authors: ---
ISBN: 9780387731735 0387731717 9780387731711 9786611960063 1281960063 0387731733 Year: 2008 Volume: 191 Publisher: New York : Springer,

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This book is concerned with the estimation of discrete-time semi-Markov and hidden semi-Markov processes. Semi-Markov processes are much more general and better adapted to applications than the Markov ones because sojourn times in any state can be arbitrarily distributed, as opposed to the geometrically distributed sojourn time in the Markov case. Another unique feature of the book is the use of discrete time, especially useful in some specific applications where the time scale is intrinsically discrete. The models presented in the book are specifically adapted to reliability studies and DNA analysis. The book is mainly intended for applied probabilists and statisticians interested in semi-Markov chains theory, reliability and DNA analysis, and for theoretical oriented reliability and bioinformatics engineers. It can also serve as a text for a six month research-oriented course at a Master or PhD level. The prerequisites are a background in probability theory and finite state space Markov chains. Vlad Stefan Barbu is associate professor in statistics at the University of Rouen, France, Laboratory of Mathematics ‘Raphaël Salem.’ His research focuses basically on stochastic processes and associated statistical problems, with a particular interest in reliability and DNA analysis. He has published several papers in the field. Nikolaos Limnios is a professor in Applied Mathematics at the University of Technology of Compiègne. His research interest concerns stochastic processes and statistics with application to reliability. He is the co-author of the books: Semi-Markov Processes and Reliability (Birkhäuser, 2001 with G. Oprisan) and Stochastic Systems in Merging Phase Space (World Scientific, 2005, with V.S. Koroliuk).

Keywords

Markov processes --- Reliability (Engineering) --- DNA --- Markov, Processus de --- Fiabilité --- Mathematical models --- Analysis --- Modèles mathématiques --- DNA --Analysis --Mathematical models. --- Markov processes. --- Reliability (Engineering) --Mathematical models. --- Evaluation Studies as Topic --- Probability --- Stochastic Processes --- Epidemiologic Research Design --- Investigative Techniques --- Nucleic Acids --- Statistics as Topic --- Mathematical Concepts --- Nucleic Acids, Nucleotides, and Nucleosides --- Epidemiologic Methods --- Analytical, Diagnostic and Therapeutic Techniques and Equipment --- Health Care Evaluation Mechanisms --- Quality of Health Care --- Public Health --- Phenomena and Processes --- Chemicals and Drugs --- Environment and Public Health --- Health Care Quality, Access, and Evaluation --- Health Care --- Markov Chains --- Models, Theoretical --- Reproducibility of Results --- Mathematics --- Physical Sciences & Mathematics --- Mathematical Statistics --- Mathematical models. --- Fiabilité --- Modèles mathématiques --- EPUB-LIV-FT LIVMATHE LIVSTATI SPRINGER-B --- Deoxyribonucleic acid --- Desoxyribonucleic acid --- Thymonucleic acid --- TNA (Nucleic acid) --- Analysis, Markov --- Chains, Markov --- Markoff processes --- Markov analysis --- Markov chains --- Markov models --- Models, Markov --- Processes, Markov --- Mathematics. --- Bioinformatics. --- Operations research. --- Management science. --- Probabilities. --- Statistics. --- Quality control. --- Reliability. --- Industrial safety. --- Probability Theory and Stochastic Processes. --- Statistical Theory and Methods. --- Statistics for Engineering, Physics, Computer Science, Chemistry and Earth Sciences. --- Quality Control, Reliability, Safety and Risk. --- Operations Research, Management Science. --- Stochastic processes --- Deoxyribose --- Nucleic acids --- Genes --- Distribution (Probability theory. --- Mathematical statistics. --- System safety. --- Bio-informatics --- Biological informatics --- Biology --- Information science --- Computational biology --- Systems biology --- Safety, System --- Safety of systems --- Systems safety --- Accidents --- Industrial safety --- Systems engineering --- Statistical analysis --- Statistical data --- Statistical methods --- Statistical science --- Econometrics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Distribution functions --- Frequency distribution --- Characteristic functions --- Data processing --- Prevention --- Statistics . --- Quantitative business analysis --- Management --- Problem solving --- Operations research --- Statistical decision --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Industrial accidents --- Industries --- Job safety --- Occupational hazards, Prevention of --- Occupational health and safety --- Occupational safety and health --- Prevention of industrial accidents --- Prevention of occupational hazards --- Safety, Industrial --- Safety engineering --- Safety measures --- Safety of workers --- System safety --- Dependability --- Trustworthiness --- Conduct of life --- Factory management --- Standardization --- Quality assurance --- Quality of products --- Combinations --- Chance --- Least squares --- Mathematical statistics --- Risk

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