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Stochastic Models In Hiv Pathogenesis And Aids Epidemic
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Book Synopsis Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis by : W. Y. Tan
Download or read book Stochastic Modeling of AIDS Epidemiology and HIV Pathogenesis written by W. Y. Tan and published by World Scientific. This book was released on 2000 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses systematically treatment on the development of stochastic, statistical and state space models of the HIV epidemic and of HIV pathogenesis in HIV-infected individuals, and presents the applications of these models. The book is unique in several ways: (1) it uses stochastic difference and differential equations to present the stochastic models of the HIV epidemic and HIV pathogenesis; in this sense, the deterministic models are considered as special cases when the numbers of different type of people or cells are very large (2) it provides, a critical analysis of deterministic and statistical models in the literature; (3) it develops state space models by combining stochastic models and statistical models; and (4) it provides a detailed discussion on the pros and cons of the different modeling approaches. This book is the first to introduce state space models for the HIV epidemic. It is also the first to develop stochastic models and state space models for the HIV pathogenesis in HIV-infected individuals.
Book Synopsis Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Intervention by : Wai-yuan Tan
Download or read book Deterministic And Stochastic Models Of Aids Epidemics And Hiv Infections With Intervention written by Wai-yuan Tan and published by World Scientific. This book was released on 2005-07-07 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: With contributions from an international team of leading researchers, the book pulls together updated research results in the area of HIV/AIDS modeling to provide readers with the latest information in the field. Topics covered include: AIDS epidemic models; vaccine models; models for HIV/cell dynamics and interactions; cellular kinetics; viral dynamics with antiviral treatments; modeling of drug resistance and quasispecies.Extensive deterministic models, statistical models, stochastic models and state space models on treating AIDS patients with anti-retroviral drugs are provided, as well as an in-depth discussion of these models. The book also contains updated reviews on mathematical models for assessing effects of AIDS vaccines, statistical methods for analyzing clinical trial data on AIDS vaccines, and overviews of models and statistical methods for assessing drug resistance of HIV to anti-retroviral drugs. Some important statistical methods specific to the intervention and prevention of HIV epidemic are also discussed.This will be a useful reference source for graduate students and researchers in biomathematics and biostatistics, as well as for HIV/AIDS epidemiologists and clinical investigators learning quantitative methods to study AIDS epidemics and HIV infection.
Book Synopsis Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems (second Edition) by : W. Y. Tan
Download or read book Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems (second Edition) written by W. Y. Tan and published by World Scientific. This book was released on 2015-10-28 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems. One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems. As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop several state space models for many genetic problems, carcinogenesis and other biomedical problems. To emphasize special applications to medical problems, in this new edition the book has added a new chapter to illustrate how to develop biologically-supported stochastic models and state space models of carcinogenesis in human beings. Specific examples include hidden Markov models and state space models for human colon cancer, human liver cancer and some human pediatric cancers such as retinoblastoma and hepatoblastoma. The book also gives examples to illustrate how to develop procedures to assess cancer risk of environmental agents through initiation-promotion protocols."--
Book Synopsis Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems by : W. Y. Tan
Download or read book Stochastic Models with Applications to Genetics, Cancers, AIDS and Other Biomedical Systems written by W. Y. Tan and published by World Scientific. This book was released on 2002 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems.One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems.As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop many state space models for many genetic problems, carcinogenesis and other biomedical problems.
Book Synopsis Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems by : Wai-yuan Tan
Download or read book Stochastic Models With Applications To Genetics, Cancers, Aids And Other Biomedical Systems written by Wai-yuan Tan and published by World Scientific. This book was released on 2002-02-26 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic treatment of Markov chains, diffusion processes and state space models, as well as alternative approaches to Markov chains through stochastic difference equations and stochastic differential equations. It illustrates how these processes and approaches are applied to many problems in genetics, carcinogenesis, AIDS epidemiology and other biomedical systems.One feature of the book is that it describes the basic MCMC (Markov chain and Monte Carlo) procedures and illustrates how to use the Gibbs sampling method and the multilevel Gibbs sampling method to solve many problems in genetics, carcinogenesis, AIDS and other biomedical systems.As another feature, the book develops many state space models for many genetic problems, carcinogenesis, AIDS epidemiology and HIV pathogenesis. It shows in detail how to use the multilevel Gibbs sampling method to estimate (or predict) simultaneously the state variables and the unknown parameters in cancer chemotherapy, carcinogenesis, AIDS epidemiology and HIV pathogenesis. As a matter of fact, this book is the first to develop many state space models for many genetic problems, carcinogenesis and other biomedical problems.
Book Synopsis Encyclopedia of Statistical Sciences, Volume 1 by :
Download or read book Encyclopedia of Statistical Sciences, Volume 1 written by and published by John Wiley & Sons. This book was released on 2005-12-16 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt: ENCYCLOPEDIA OF STATISTICAL SCIENCES
Book Synopsis Advances in Statistical Methods for the Health Sciences by : Jean-Louis Auget
Download or read book Advances in Statistical Methods for the Health Sciences written by Jean-Louis Auget and published by Springer Science & Business Media. This book was released on 2007-08-08 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: Statistical methods have become an increasingly important and integral part of research in the health sciences. Many sophisticated methodologies have been developed for specific applications and problems. This self-contained comprehensive volume covers a wide range of topics pertaining to new statistical methods in the health sciences, including epidemiology, pharmacovigilance, quality of life, survival analysis, and genomics. The book will serve the health science community as well as practitioners, researchers, and graduate students in applied probability, statistics, and biostatistics.
Book Synopsis Methods and Applications of Statistics in the Life and Health Sciences by : Narayanaswamy Balakrishnan
Download or read book Methods and Applications of Statistics in the Life and Health Sciences written by Narayanaswamy Balakrishnan and published by John Wiley & Sons. This book was released on 2009-12-02 with total page 1027 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inspired by the Encyclopedia of Statistical Sciences, Second Edition, this volume outlines the statistical tools for successfully working with modern life and health sciences research Data collection holds an essential part in dictating the future of health sciences and public health, as the compilation of statistics allows researchers and medical practitioners to monitor trends in health status, identify health problems, and evaluate the impact of health policies and programs. Methods and Applications of Statistics in the Life and Health Sciences serves as a single, one-of-a-kind resource on the wide range of statistical methods, techniques, and applications that are applied in modern life and health sciences in research. Specially designed to present encyclopedic content in an accessible and self-contained format, this book outlines thorough coverage of the underlying theory and standard applications to research in related disciplines such as biology, epidemiology, clinical trials, and public health. Uniquely combining established literature with cutting-edge research, this book contains classical works and more than twenty-five new articles and completely revised contributions from the acclaimed Encyclopedia of Statistical Sciences, Second Edition. The result is a compilation of more than eighty articles that explores classic methodology and new topics, including: Sequential methods in biomedical research Statistical measures of human quality of life Change-point methods in genetics Sample size determination for clinical trials Mixed-effects regression models for predicting pre-clinical disease Probabilistic and statistical models for conception Statistical methods are explored and applied to population growth, disease detection and treatment, genetic and genomic research, drug development, clinical trials, screening and prevention, and the assessment of rehabilitation, recovery, and quality of life. These topics are explored in contributions written by more than 100 leading academics, researchers, and practitioners who utilize various statistical practices, such as election bias, survival analysis, missing data techniques, and cluster analysis for handling the wide array of modern issues in the life and health sciences. With its combination of traditional methodology and newly developed research, Methods and Applications of Statistics in the Life and Health Sciences has everything students, academics, and researchers in the life and health sciences need to build and apply their knowledge of statistical methods and applications.
Book Synopsis Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention by : W. Y. Tan
Download or read book Deterministic and Stochastic Models of AIDS Epidemics and HIV Infections with Intervention written by W. Y. Tan and published by World Scientific. This book was released on 2005 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: - Only book on extensive, deterministic models, statistic models, stochastic models and state space models and statistical methods for HIV epidemic involving IV drug usage and HIV epidemic in homosexual populations. - Provides most recent biological insights into HIV pathogenesis and HIV kinetics at the cellular level, and illustrates how to build up mathematical models based on these biological insights. - Only publication that provides in-depth analysis of HAART treatment protocols and discusses possible improvements to the HAART protocol. The book also provides connection between pharmacokinetics with treatment in HIV-infected individuals.
Book Synopsis Quantitative Medical Data Analysis Using Mathematical Tools And Statistical Techniques by : Don Hong
Download or read book Quantitative Medical Data Analysis Using Mathematical Tools And Statistical Techniques written by Don Hong and published by World Scientific. This book was released on 2007-07-10 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative biomedical data analysis is a fast-growing interdisciplinary area of applied and computational mathematics, statistics, computer science, and biomedical science, leading to new fields such as bioinformatics, biomathematics, and biostatistics. In addition to traditional statistical techniques and mathematical models using differential equations, new developments with a very broad spectrum of applications, such as wavelets, spline functions, curve and surface subdivisions, sampling, and learning theory, have found their mathematical home in biomedical data analysis.This book gives a new and integrated introduction to quantitative medical data analysis from the viewpoint of biomathematicians, biostatisticians, and bioinformaticians. It offers a definitive resource to bridge the disciplines of mathematics, statistics, and biomedical sciences. Topics include mathematical models for cancer invasion and clinical sciences, data mining techniques and subset selection in data analysis, survival data analysis and survival models for cancer patients, statistical analysis and neural network techniques for genomic and proteomic data analysis, wavelet and spline applications for mass spectrometry data preprocessing and statistical computing.
Download or read book AIDS Bibliography written by and published by . This book was released on 1992 with total page 972 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantitative Methods for Investigating Infectious Disease Outbreaks by : Ping Yan
Download or read book Quantitative Methods for Investigating Infectious Disease Outbreaks written by Ping Yan and published by Springer. This book was released on 2019-08-16 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a systematic treatment of the mathematical underpinnings of work in the theory of outbreak dynamics and their control, covering balanced perspectives between theory and practice including new material on contemporary topics in the field of infectious disease modelling. Specifically, it presents a unified mathematical framework linked to the distribution theory of non-negative random variables; the many examples used in the text, are introduced and discussed in light of theoretical perspectives. The book is organized into 9 chapters: The first motivates the presentation of the material on subsequent chapters; Chapter 2-3 provides a review of basic concepts of probability and statistical models for the distributions of continuous lifetime data and the distributions of random counts and counting processes, which are linked to phenomenological models. Chapters 4 focuses on dynamic behaviors of a disease outbreak during the initial phase while Chapters 5-6 broadly cover compartment models to investigate the consequences of epidemics as the outbreak moves beyond the initial phase. Chapter 7 provides a transition between mostly theoretical topics in earlier chapters and Chapters 8 and 9 where the focus is on the data generating processes and statistical issues of fitting models to data as well as specific mathematical epidemic modeling applications, respectively. This book is aimed at a wide audience ranging from graduate students to established scientists from quantitatively-oriented fields of epidemiology, mathematics and statistics. The numerous examples and illustrations make understanding of the mathematics of disease transmission and control accessible. Furthermore, the examples and exercises, make the book suitable for motivated students in applied mathematics, either through a lecture course, or through self-study. This text could be used in graduate schools or special summer schools covering research problems in mathematical biology.
Book Synopsis Dissertation Abstracts International by :
Download or read book Dissertation Abstracts International written by and published by . This book was released on 2000 with total page 992 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Journal of Communicable Diseases by :
Download or read book The Journal of Communicable Diseases written by and published by . This book was released on 2006 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematics in Population Biology by : Horst R. Thieme
Download or read book Mathematics in Population Biology written by Horst R. Thieme and published by Princeton University Press. This book was released on 2018-06-05 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: The formulation, analysis, and re-evaluation of mathematical models in population biology has become a valuable source of insight to mathematicians and biologists alike. This book presents an overview and selected sample of these results and ideas, organized by biological theme rather than mathematical concept, with an emphasis on helping the reader develop appropriate modeling skills through use of well-chosen and varied examples. Part I starts with unstructured single species population models, particularly in the framework of continuous time models, then adding the most rudimentary stage structure with variable stage duration. The theme of stage structure in an age-dependent context is developed in Part II, covering demographic concepts, such as life expectation and variance of life length, and their dynamic consequences. In Part III, the author considers the dynamic interplay of host and parasite populations, i.e., the epidemics and endemics of infectious diseases. The theme of stage structure continues here in the analysis of different stages of infection and of age-structure that is instrumental in optimizing vaccination strategies. Each section concludes with exercises, some with solutions, and suggestions for further study. The level of mathematics is relatively modest; a "toolbox" provides a summary of required results in differential equations, integration, and integral equations. In addition, a selection of Maple worksheets is provided. The book provides an authoritative tour through a dazzling ensemble of topics and is both an ideal introduction to the subject and reference for researchers.
Book Synopsis Dynamical Systems and Their Applications in Biology by : Shigui Ruan
Download or read book Dynamical Systems and Their Applications in Biology written by Shigui Ruan and published by American Mathematical Soc.. This book was released on 2003 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology. The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology. The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is Differential Equations with Applications to Biology, Volume 21 in the AMS series Fields Institute Communications.
Download or read book Cumulated Index Medicus written by and published by . This book was released on 1995 with total page 1500 pages. Available in PDF, EPUB and Kindle. Book excerpt:
