Mixture Models for the Analysis of Gene Expression

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ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (37 download)

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Book Synopsis Mixture Models for the Analysis of Gene Expression by : Ivan Gesteira Costa Filho

Download or read book Mixture Models for the Analysis of Gene Expression written by Ivan Gesteira Costa Filho and published by . This book was released on 2008 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Medical Applications of Finite Mixture Models

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Publisher : Springer
ISBN 13 : 9783642088162
Total Pages : 0 pages
Book Rating : 4.0/5 (881 download)

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Book Synopsis Medical Applications of Finite Mixture Models by : Peter Schlattmann

Download or read book Medical Applications of Finite Mixture Models written by Peter Schlattmann and published by Springer. This book was released on 2010-10-21 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Patients are not alike! This simple truth is often ignored in the analysis of me- cal data, since most of the time results are presented for the “average” patient. As a result, potential variability between patients is ignored when presenting, e.g., the results of a multiple linear regression model. In medicine there are more and more attempts to individualize therapy; thus, from the author’s point of view biostatis- cians should support these efforts. Therefore, one of the tasks of the statistician is to identify heterogeneity of patients and, if possible, to explain part of it with known explanatory covariates. Finite mixture models may be used to aid this purpose. This book tries to show that there are a large range of applications. They include the analysis of gene - pression data, pharmacokinetics, toxicology, and the determinants of beta-carotene plasma levels. Other examples include disease clustering, data from psychophysi- ogy, and meta-analysis of published studies. The book is intended as a resource for those interested in applying these methods.

Mixture and Mixed Models Analysis for Genetic Variants

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ISBN 13 : 9781303507601
Total Pages : 114 pages
Book Rating : 4.5/5 (76 download)

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Book Synopsis Mixture and Mixed Models Analysis for Genetic Variants by : Haimao Zhan

Download or read book Mixture and Mixed Models Analysis for Genetic Variants written by Haimao Zhan and published by . This book was released on 2013 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Chapter 2, we developed a stochastic expectation-maximization algorithm for mixture model-based cluster analysis which is a general framework for integrated study for genetic variant, gene expression and phenotype. The strength of association is modeled using Gaussian mixture with two components. The sampling step in stochastic EM algorithm improves the convergence of parameters when initial values are poor. The same mixture model and stochastic EM algorithm can be used to identify expression QTL and association study between gene expression and quantitative trait.

Mixture Models for Microarray Data Analysis

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ISBN 13 :
Total Pages : 238 pages
Book Rating : 4.3/5 (121 download)

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Book Synopsis Mixture Models for Microarray Data Analysis by : Zhenyu Jia

Download or read book Mixture Models for Microarray Data Analysis written by Zhenyu Jia and published by . This book was released on 2006 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Nonlinear Mixture Models: A Bayesian Approach

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Publisher : World Scientific
ISBN 13 : 1783266279
Total Pages : 296 pages
Book Rating : 4.7/5 (832 download)

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Book Synopsis Nonlinear Mixture Models: A Bayesian Approach by : Tatiana V Tatarinova

Download or read book Nonlinear Mixture Models: A Bayesian Approach written by Tatiana V Tatarinova and published by World Scientific. This book was released on 2014-12-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Analysis of Gene Expression Data

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Publisher : Springer Science & Business Media
ISBN 13 : 0387216790
Total Pages : 511 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis The Analysis of Gene Expression Data by : Giovanni Parmigiani

Download or read book The Analysis of Gene Expression Data written by Giovanni Parmigiani and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 511 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents practical approaches for the analysis of data from gene expression micro-arrays. It describes the conceptual and methodological underpinning for a statistical tool and its implementation in software. The book includes coverage of various packages that are part of the Bioconductor project and several related R tools. The materials presented cover a range of software tools designed for varied audiences.

Bayesian Infinite Mixture Models for Gene Clustering and Simultaneous Context Selection Using High-throughput Gene Expression Data

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Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.:/5 (679 download)

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Book Synopsis Bayesian Infinite Mixture Models for Gene Clustering and Simultaneous Context Selection Using High-throughput Gene Expression Data by : Johannes M. Freudenberg

Download or read book Bayesian Infinite Mixture Models for Gene Clustering and Simultaneous Context Selection Using High-throughput Gene Expression Data written by Johannes M. Freudenberg and published by . This book was released on 2009 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applying clustering algorithms to identify groups of co-expressed genes is an important step in the analysis of high-throughput genomics data in order to elucidate affected biological pathways and transcriptional regulatory mechanisms. As these data are becoming ever more abundant the integration with both, existing biological knowledge and other experimental data becomes as crucial as the ability to perform such analysis in a meaningful but virtually unsupervised fashion. Clustering analysis often relies on ad-hoc methods such as k-means or hierarchical clustering with Euclidean distance but model-based methods such as the Bayesian Infinite Mixtures approach have been shown to produce better, more reproducible results. Further improvements have been accomplished by context-specific gene clustering algorithms designed to determine groups of co-expressed genes within a given subset of biological samples termed context. The complementary problem of finding differentially co-expressed genes given two or more contexts has been addressed but relies on the a priori definition of contexts and has not been used to facilitate the clustering of biological samples. Here we describe a new computational method using Bayesian infinite mixture models to cluster genes simultaneously utilizing the concept of differential co-expression as a unique similarity measure to find groups of similar samples. We compute a novel per-gene differential co-expression score that is reproducible and biologically meaningful. To evaluate, annotate, and display clustering results we present the integrated software package CLEAN which contains functionality for performing Clustering Enrichment Analysis, a method to functionally annotate clustering results and to assign a novel gene-specific functional coherence score. We apply our method to a number of simulated datasets comparing it to other commonly used clustering algorithms, and we re-analyze several breast cancer studies. We find that our unsupervised method determines patient groupings highly predictive of clinically relevant factors such as estrogen receptor status, tumor grade, and disease specific survival. Integrating these data with computationally and literature-derived information by applying CLEAN to the corresponding clusterings as well as the DCS signature substantiates these findings. Our results demonstrate the range of applications our methodology provides, offering a comprehensive analysis tool to study gene co-expression and differential co-expression patterns specific to the biological conditions of interest while simultaneously determining subsets of such biological conditions using a unique similarity measure that is complementary to the currently existing methods. It allows us to further our understanding of highly complex diseases such as breast cancer, and it has the potential to greatly facilitate research in many other, not yet as intensively studied areas.

Finite Mixture Models

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Publisher : John Wiley & Sons
ISBN 13 : 047165406X
Total Pages : 419 pages
Book Rating : 4.4/5 (716 download)

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Book Synopsis Finite Mixture Models by : Geoffrey McLachlan

Download or read book Finite Mixture Models written by Geoffrey McLachlan and published by John Wiley & Sons. This book was released on 2004-03-22 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: An up-to-date, comprehensive account of major issues in finitemixture modeling This volume provides an up-to-date account of the theory andapplications of modeling via finite mixture distributions. With anemphasis on the applications of mixture models in both mainstreamanalysis and other areas such as unsupervised pattern recognition,speech recognition, and medical imaging, the book describes theformulations of the finite mixture approach, details itsmethodology, discusses aspects of its implementation, andillustrates its application in many common statisticalcontexts. Major issues discussed in this book include identifiabilityproblems, actual fitting of finite mixtures through use of the EMalgorithm, properties of the maximum likelihood estimators soobtained, assessment of the number of components to be used in themixture, and the applicability of asymptotic theory in providing abasis for the solutions to some of these problems. The author alsoconsiders how the EM algorithm can be scaled to handle the fittingof mixture models to very large databases, as in data miningapplications. This comprehensive, practical guide: * Provides more than 800 references-40% published since 1995 * Includes an appendix listing available mixture software * Links statistical literature with machine learning and patternrecognition literature * Contains more than 100 helpful graphs, charts, and tables Finite Mixture Models is an important resource for both applied andtheoretical statisticians as well as for researchers in the manyareas in which finite mixture models can be used to analyze data.

Bayesian Modeling in Bioinformatics

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Publisher : CRC Press
ISBN 13 : 1420070185
Total Pages : 466 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Bayesian Modeling in Bioinformatics by : Dipak K. Dey

Download or read book Bayesian Modeling in Bioinformatics written by Dipak K. Dey and published by CRC Press. This book was released on 2010-09-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Mixture Modelling for Medical and Health Sciences

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Publisher : CRC Press
ISBN 13 : 0429529090
Total Pages : 222 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Mixture Modelling for Medical and Health Sciences by : Shu-Kay Ng

Download or read book Mixture Modelling for Medical and Health Sciences written by Shu-Kay Ng and published by CRC Press. This book was released on 2019-05-03 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mixture Modelling for Medical and Health Sciences provides a direct connection between theoretical developments in mixture modelling and their applications in real world problems. The book describes the development of the most important concepts through comprehensive analyses of real and practical examples taken from real-life research problems in

Statistical Analysis of Gene Expression Microarray Data

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Publisher : CRC Press
ISBN 13 : 0203011236
Total Pages : 237 pages
Book Rating : 4.2/5 (3 download)

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Book Synopsis Statistical Analysis of Gene Expression Microarray Data by : Terry Speed

Download or read book Statistical Analysis of Gene Expression Microarray Data written by Terry Speed and published by CRC Press. This book was released on 2003-03-26 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although less than a decade old, the field of microarray data analysis is now thriving and growing at a remarkable pace. Biologists, geneticists, and computer scientists as well as statisticians all need an accessible, systematic treatment of the techniques used for analyzing the vast amounts of data generated by large-scale gene expression studies

Handbook of Mixture Analysis

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Publisher : CRC Press
ISBN 13 : 0429508867
Total Pages : 388 pages
Book Rating : 4.4/5 (295 download)

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Book Synopsis Handbook of Mixture Analysis by : Sylvia Fruhwirth-Schnatter

Download or read book Handbook of Mixture Analysis written by Sylvia Fruhwirth-Schnatter and published by CRC Press. This book was released on 2019-01-04 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mixture models have been around for over 150 years, and they are found in many branches of statistical modelling, as a versatile and multifaceted tool. They can be applied to a wide range of data: univariate or multivariate, continuous or categorical, cross-sectional, time series, networks, and much more. Mixture analysis is a very active research topic in statistics and machine learning, with new developments in methodology and applications taking place all the time. The Handbook of Mixture Analysis is a very timely publication, presenting a broad overview of the methods and applications of this important field of research. It covers a wide array of topics, including the EM algorithm, Bayesian mixture models, model-based clustering, high-dimensional data, hidden Markov models, and applications in finance, genomics, and astronomy. Features: Provides a comprehensive overview of the methods and applications of mixture modelling and analysis Divided into three parts: Foundations and Methods; Mixture Modelling and Extensions; and Selected Applications Contains many worked examples using real data, together with computational implementation, to illustrate the methods described Includes contributions from the leading researchers in the field The Handbook of Mixture Analysis is targeted at graduate students and young researchers new to the field. It will also be an important reference for anyone working in this field, whether they are developing new methodology, or applying the models to real scientific problems.

Approaches to Improve the Precision of Similarity Patterns and Reproducibility for Cluster Analysis

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ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Approaches to Improve the Precision of Similarity Patterns and Reproducibility for Cluster Analysis by :

Download or read book Approaches to Improve the Precision of Similarity Patterns and Reproducibility for Cluster Analysis written by and published by . This book was released on 2008 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study is about developing new clustering analysis algorithms to analyze microarray gene expression data. With the use of clustering analysis, it is possible to infer the function of genes in a cluster by referring to those with known function in the same cluster. In microarray data, thousands of genes expression profiles are observed across different experimental conditions. Due to the complex experimental designs, the observations from different experimental conditions might be correlated. To account for the correlations from different experimental conditions and correlations among different genes, new clustering algorithms have been developed which are based on Bayesian infinite mixture models in a Bayesian data analysis framework. The correlations have been taken into account by specifying accurate variance-covariance matrices in statistical model definitions. In this way when correlations are present, the new algorithms can precisely represent the observed data. Consequently, the new algorithms produce more stable and reproducible cluster results. Mathematical and computational procedures have been developed and implemented through appropriate computer programs. Gibbs sampler was used to estimate the posterior distribution of clusters. Posterior pairwise probabilities (PPP) of co-clustering of two genes are obtained based on the estimated classification variable distribution. By treating PPPs as the pairwise similarity measures, clusters are formed using traditional hierarchical cluster analysis algorithms. The new algorithms and existing clustering algorithms were applied to simulated data, as well as real-world data to compare their performance. Compared with the existing clustering algorithms, when non-zero correlations exist, the new algorithms generally obtained more accurate and stable clustering results.

The EM Algorithm and Extensions

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Publisher : John Wiley & Sons
ISBN 13 : 0470191600
Total Pages : 399 pages
Book Rating : 4.4/5 (71 download)

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Book Synopsis The EM Algorithm and Extensions by : Geoffrey J. McLachlan

Download or read book The EM Algorithm and Extensions written by Geoffrey J. McLachlan and published by John Wiley & Sons. This book was released on 2007-11-09 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: The only single-source——now completely updated and revised——to offer a unified treatment of the theory, methodology, and applications of the EM algorithm Complete with updates that capture developments from the past decade, The EM Algorithm and Extensions, Second Edition successfully provides a basic understanding of the EM algorithm by describing its inception, implementation, and applicability in numerous statistical contexts. In conjunction with the fundamentals of the topic, the authors discuss convergence issues and computation of standard errors, and, in addition, unveil many parallels and connections between the EM algorithm and Markov chain Monte Carlo algorithms. Thorough discussions on the complexities and drawbacks that arise from the basic EM algorithm, such as slow convergence and lack of an in-built procedure to compute the covariance matrix of parameter estimates, are also presented. While the general philosophy of the First Edition has been maintained, this timely new edition has been updated, revised, and expanded to include: New chapters on Monte Carlo versions of the EM algorithm and generalizations of the EM algorithm New results on convergence, including convergence of the EM algorithm in constrained parameter spaces Expanded discussion of standard error computation methods, such as methods for categorical data and methods based on numerical differentiation Coverage of the interval EM, which locates all stationary points in a designated region of the parameter space Exploration of the EM algorithm's relationship with the Gibbs sampler and other Markov chain Monte Carlo methods Plentiful pedagogical elements—chapter introductions, lists of examples, author and subject indices, computer-drawn graphics, and a related Web site The EM Algorithm and Extensions, Second Edition serves as an excellent text for graduate-level statistics students and is also a comprehensive resource for theoreticians, practitioners, and researchers in the social and physical sciences who would like to extend their knowledge of the EM algorithm.

Conjugate Dirichlet Process Mixture Models

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Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Conjugate Dirichlet Process Mixture Models by : David Boyack Dahl

Download or read book Conjugate Dirichlet Process Mixture Models written by David Boyack Dahl and published by . This book was released on 2004 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mixture Modeling and Outlier Detection in Microarray Data Analysis

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis Mixture Modeling and Outlier Detection in Microarray Data Analysis by : Nysia I. George

Download or read book Mixture Modeling and Outlier Detection in Microarray Data Analysis written by Nysia I. George and published by . This book was released on 2010 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Microarray technology has become a dynamic tool in gene expression analysis because it allows for the simultaneous measurement of thousands of gene expressions. Uniqueness in experimental units and microarray data platforms, coupled with how gene expressions are obtained, make the field open for interesting research questions. In this dissertation, we present our investigations of two independent studies related to microarray data analysis. First, we study a recent platform in biology and bioinformatics that compares the quality of genetic information from exfoliated colonocytes in fecal matter with genetic material from mucosa cells within the colon. Using the intraclass correlation coefficient (ICC) as a measure of reproducibility, we assess the reliability of density estimation obtained from preliminary analysis of fecal and mucosa data sets. Numerical findings clearly show that the distribution is comprised of two components. For measurements between 0 and 1, it is natural to assume that the data points are from a beta-mixture distribution. We explore whether ICC values should be modeled with a beta mixture or transformed first and fit with a normal mixture. We find that the use of mixture of normals in the inverse-probit transformed scale is less sensitive toward model mis-specification; otherwise a biased conclusion could be reached. By using the normal mixture approach to compare the ICC distributions of fecal and mucosa samples, we observe the quality of reproducible genes in fecal array data to be comparable with that in mucosa arrays. For microarray data, within-gene variance estimation is often challenging due to the high frequency of low replication studies. Several methodologies have been developed to strengthen variance terms by borrowing information across genes. However, even with such accommodations, variance may be initiated by the presence of outliers. For our second study, we propose a robust modification of optimal shrinkage variance estimation to improve outlier detection. In order to increase power, we suggest grouping standardized data so that information shared across genes is similar in distribution. Simulation studies and analysis of real colon cancer microarray data reveal that our methodology provides a technique which is insensitive to outliers, free of distributional assumptions, effective for small sample size, and data adaptive.

Analysis of Microarray Gene Expression Data

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Publisher : Springer Science & Business Media
ISBN 13 : 1402077882
Total Pages : 378 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Analysis of Microarray Gene Expression Data by : Mei-Ling Ting Lee

Download or read book Analysis of Microarray Gene Expression Data written by Mei-Ling Ting Lee and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: After genomic sequencing, microarray technology has emerged as a widely used platform for genomic studies in the life sciences. Microarray technology provides a systematic way to survey DNA and RNA variation. With the abundance of data produced from microarray studies, however, the ultimate impact of the studies on biology will depend heavily on data mining and statistical analysis. The contribution of this book is to provide readers with an integrated presentation of various topics on analyzing microarray data.