Bayesian Mixtures and Gene Expression Profiling with Missing Data


Book Description

Missing values are one of the problems encountered in microarray data analysis. For many of the clustering algorithms applied in microarray data analysis, a complete data matrix is required. The traditional approach to solving the missing value problem is to fill in with estimates by imputation. Once the missing value estimates are imputed, they remain fixed during the following clustering process. Poorly estimated missing data points will impair reliability of the cluster analysis. In this particular study, we tested the ability of a novel clustering method based on a Bayesian infinite mixtures model (IMM) to accommodate missing data. In a simulation study and a prostate cancer dataset, by examining the specificity and sensitivity of clusters we demonstrated that the IMM method has increased precision of the cluster analysis without requirement of a prior imputation. IMM is more robust in clustering an incomplete dataset than traditional clustering methods, which require prior imputation.







Nonlinear Mixture Models: A Bayesian Approach


Book Description

This book, written by two mathematicians from the University of Southern California, provides a broad introduction to the important subject of nonlinear mixture models from a Bayesian perspective. It contains background material, a brief description of Markov chain theory, as well as novel algorithms and their applications. It is self-contained and unified in presentation, which makes it ideal for use as an advanced textbook by graduate students and as a reference for independent researchers. The explanations in the book are detailed enough to capture the interest of the curious reader, and complete enough to provide the necessary background material needed to go further into the subject and explore the research literature.In this book the authors present Bayesian methods of analysis for nonlinear, hierarchical mixture models, with a finite, but possibly unknown, number of components. These methods are then applied to various problems including population pharmacokinetics and gene expression analysis. In population pharmacokinetics, the nonlinear mixture model, based on previous clinical data, becomes the prior distribution for individual therapy. For gene expression data, one application included in the book is to determine which genes should be associated with the same component of the mixture (also known as a clustering problem). The book also contains examples of computer programs written in BUGS. This is the first book of its kind to cover many of the topics in this field.




Bayesian Inference for Gene Expression and Proteomics


Book Description

Expert overviews of Bayesian methodology, tools and software for multi-platform high-throughput experimentation.




Bayesian Analysis of Gene Expression Data


Book Description

The field of high-throughput genetic experimentation is evolving rapidly, with the advent of new technologies and new venues for data mining. Bayesian methods play a role central to the future of data and knowledge integration in the field of Bioinformatics. This book is devoted exclusively to Bayesian methods of analysis for applications to high-throughput gene expression data, exploring the relevant methods that are changing Bioinformatics. Case studies, illustrating Bayesian analyses of public gene expression data, provide the backdrop for students to develop analytical skills, while the more experienced readers will find the review of advanced methods challenging and attainable. This book: Introduces the fundamentals in Bayesian methods of analysis for applications to high-throughput gene expression data. Provides an extensive review of Bayesian analysis and advanced topics for Bioinformatics, including examples that extensively detail the necessary applications. Accompanied by website featuring datasets, exercises and solutions. Bayesian Analysis of Gene Expression Data offers a unique introduction to both Bayesian analysis and gene expression, aimed at graduate students in Statistics, Biomedical Engineers, Computer Scientists, Biostatisticians, Statistical Geneticists, Computational Biologists, applied Mathematicians and Medical consultants working in genomics. Bioinformatics researchers from many fields will find much value in this book.




Bayesian Modeling in Bioinformatics


Book Description

Bayesian Modeling in Bioinformatics discusses the development and application of Bayesian statistical methods for the analysis of high-throughput bioinformatics data arising from problems in molecular and structural biology and disease-related medical research, such as cancer. It presents a broad overview of statistical inference, clustering, and c




Case Studies in Bayesian Statistical Modelling and Analysis


Book Description

Provides an accessible foundation to Bayesian analysis using real world models This book aims to present an introduction to Bayesian modelling and computation, by considering real case studies drawn from diverse fields spanning ecology, health, genetics and finance. Each chapter comprises a description of the problem, the corresponding model, the computational method, results and inferences as well as the issues that arise in the implementation of these approaches. Case Studies in Bayesian Statistical Modelling and Analysis: Illustrates how to do Bayesian analysis in a clear and concise manner using real-world problems. Each chapter focuses on a real-world problem and describes the way in which the problem may be analysed using Bayesian methods. Features approaches that can be used in a wide area of application, such as, health, the environment, genetics, information science, medicine, biology, industry and remote sensing. Case Studies in Bayesian Statistical Modelling and Analysis is aimed at statisticians, researchers and practitioners who have some expertise in statistical modelling and analysis, and some understanding of the basics of Bayesian statistics, but little experience in its application. Graduate students of statistics and biostatistics will also find this book beneficial.







Current Topics in Human Genetics


Book Description

The sequencing of the human genome has brought human genetics into a new era of study resulting in the generation of an explosive amount of information. Application of genomic, proteomic, and bioinformatics technologies to the study of human genetics has made it possible for human genetic diseases to be studied on an unprecedented scale, both in silico and in the wet lab. This volume provides up-to-date coverage of the broad range of research topics in this fascinating area. In the first part of the book, a whole spectrum of approaches to human genetics research is reviewed for both background and the latest progress. In the second, important topics related to genetic research of various complex human diseases are discussed. The robust content and diverse array of subjects allow the book to serve as both a concise ?encyclopedia? that introduces basic and essential concepts of human genetics and an in-depth review of the current understanding of genetic research in human diseases.




Modern Inference Based on Health-Related Markers


Book Description

Modern Inference Based on Health Related Markers: Biomarkers and Statistical Decision Making provides a compendium of biomarkers based methodologies for respective health related fields and health related marker-specific biostatistical techniques. These methodologies may be applied to various problems encountered in medical and epidemiological studies. This book introduces correct and efficient testing mechanisms including procedures based on bootstrap and permutation methods with the aim of making these techniques assessable to practical researchers. In the biostatistical aspect, it describes how to correctly state testing problems, but it also includes novel results, which have appeared in current statistical publications. The book discusses also modern applied statistical developments that consider data-driven techniques, including empirical likelihood methods and other simple and efficient methods to derive statistical tools for use in health related studies. The title is a valuable source for biostaticians, practitioners, theoretical and applied investigators, and several members of the biomedical field who are interested in learning more about efficient evidence-based inference incorporating several forms of markers measurements. Combines modern epidemiological and public health discoveries with cutting-edge biostatistical tools, including relevant software codes, offering one full package to meet the demand of practical investigators Includes the emerging topics from real health fields in order to display recent advances and trends in Biomarkers and associated Decision Making areas Written by researchers who are leaders of Epidemiological and Biostatistical fields, presenting up-to-date investigations related to the measuring health issues, emerging fields of biomarkers, designing health studies and their implementations, clinical trials and their practices and applications, different aspects of genetic markers