6,334 research outputs found
Of mice and men: Sparse statistical modeling in cardiovascular genomics
In high-throughput genomics, large-scale designed experiments are becoming
common, and analysis approaches based on highly multivariate regression and
anova concepts are key tools. Shrinkage models of one form or another can
provide comprehensive approaches to the problems of simultaneous inference that
involve implicit multiple comparisons over the many, many parameters
representing effects of design factors and covariates. We use such approaches
here in a study of cardiovascular genomics. The primary experimental context
concerns a carefully designed, and rich, gene expression study focused on
gene-environment interactions, with the goals of identifying genes implicated
in connection with disease states and known risk factors, and in generating
expression signatures as proxies for such risk factors. A coupled exploratory
analysis investigates cross-species extrapolation of gene expression
signatures--how these mouse-model signatures translate to humans. The latter
involves exploration of sparse latent factor analysis of human observational
data and of how it relates to projected risk signatures derived in the animal
models. The study also highlights a range of applied statistical and genomic
data analysis issues, including model specification, computational questions
and model-based correction of experimental artifacts in DNA microarray data.Comment: Published at http://dx.doi.org/10.1214/07-AOAS110 in the Annals of
Applied Statistics (http://www.imstat.org/aoas/) by the Institute of
Mathematical Statistics (http://www.imstat.org
Inferential stability in systems biology
The modern biological sciences are fraught with statistical difficulties. Biomolecular
stochasticity, experimental noise, and the “large p, small n” problem all contribute to
the challenge of data analysis. Nevertheless, we routinely seek to draw robust, meaningful
conclusions from observations. In this thesis, we explore methods for assessing
the effects of data variability upon downstream inference, in an attempt to quantify and
promote the stability of the inferences we make.
We start with a review of existing methods for addressing this problem, focusing upon the
bootstrap and similar methods. The key requirement for all such approaches is a statistical
model that approximates the data generating process.
We move on to consider biomarker discovery problems. We present a novel algorithm for
proposing putative biomarkers on the strength of both their predictive ability and the stability
with which they are selected. In a simulation study, we find our approach to perform
favourably in comparison to strategies that select on the basis of predictive performance
alone.
We then consider the real problem of identifying protein peak biomarkers for HAM/TSP,
an inflammatory condition of the central nervous system caused by HTLV-1 infection.
We apply our algorithm to a set of SELDI mass spectral data, and identify a number of
putative biomarkers. Additional experimental work, together with known results from the
literature, provides corroborating evidence for the validity of these putative biomarkers.
Having focused on static observations, we then make the natural progression to time
course data sets. We propose a (Bayesian) bootstrap approach for such data, and then
apply our method in the context of gene network inference and the estimation of parameters
in ordinary differential equation models. We find that the inferred gene networks
are relatively unstable, and demonstrate the importance of finding distributions of ODE
parameter estimates, rather than single point estimates
Defining a robust biological prior from Pathway Analysis to drive Network Inference
Inferring genetic networks from gene expression data is one of the most
challenging work in the post-genomic era, partly due to the vast space of
possible networks and the relatively small amount of data available. In this
field, Gaussian Graphical Model (GGM) provides a convenient framework for the
discovery of biological networks. In this paper, we propose an original
approach for inferring gene regulation networks using a robust biological prior
on their structure in order to limit the set of candidate networks.
Pathways, that represent biological knowledge on the regulatory networks,
will be used as an informative prior knowledge to drive Network Inference. This
approach is based on the selection of a relevant set of genes, called the
"molecular signature", associated with a condition of interest (for instance,
the genes involved in disease development). In this context, differential
expression analysis is a well established strategy. However outcome signatures
are often not consistent and show little overlap between studies. Thus, we will
dedicate the first part of our work to the improvement of the standard process
of biomarker identification to guarantee the robustness and reproducibility of
the molecular signature.
Our approach enables to compare the networks inferred between two conditions
of interest (for instance case and control networks) and help along the
biological interpretation of results. Thus it allows to identify differential
regulations that occur in these conditions. We illustrate the proposed approach
by applying our method to a study of breast cancer's response to treatment
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Bayesian models for pooling microarray studies with multiple sources of replications
BACKGROUND: Biologists often conduct multiple but different cDNA microarray studies that all target the same biological system or pathway. Within each study, replicate slides within repeated identical experiments are often produced. Pooling information across studies can help more accurately identify true target genes. Here, we introduce a method to integrate multiple independent studies efficiently. RESULTS: We introduce a Bayesian hierarchical model to pool cDNA microarray data across multiple independent studies to identify highly expressed genes. Each study has multiple sources of variation, i.e. replicate slides within repeated identical experiments. Our model produces the gene-specific posterior probability of differential expression, which provides a direct method for ranking genes, and provides Bayesian estimates of false discovery rates (FDR). In simulations combining two and five independent studies, with fixed FDR levels, we observed large increases in the number of discovered genes in pooled versus individual analyses. When the number of output genes is fixed (e.g., top 100), the pooled model found appreciably more truly differentially expressed genes than the individual studies. We were also able to identify more differentially expressed genes from pooling two independent studies in Bacillus subtilis than from each individual data set. Finally, we observed that in our simulation studies our Bayesian FDR estimates tracked the true FDRs very well. CONCLUSION: Our method provides a cohesive framework for combining multiple but not identical microarray studies with several sources of replication, with data produced from the same platform. We assume that each study contains only two conditions: an experimental and a control sample. We demonstrated our model's suitability for a small number of studies that have been either pre-scaled or have no outliers
Multiple locus linkage analysis of genomewide expression in yeast.
With the ability to measure thousands of related phenotypes from a single biological sample, it is now feasible to genetically dissect systems-level biological phenomena. The genetics of transcriptional regulation and protein abundance are likely to be complex, meaning that genetic variation at multiple loci will influence these phenotypes. Several recent studies have investigated the role of genetic variation in transcription by applying traditional linkage analysis methods to genomewide expression data, where each gene expression level was treated as a quantitative trait and analyzed separately from one another. Here, we develop a new, computationally efficient method for simultaneously mapping multiple gene expression quantitative trait loci that directly uses all of the available data. Information shared across gene expression traits is captured in a way that makes minimal assumptions about the statistical properties of the data. The method produces easy-to-interpret measures of statistical significance for both individual loci and the overall joint significance of multiple loci selected for a given expression trait. We apply the new method to a cross between two strains of the budding yeast Saccharomyces cerevisiae, and estimate that at least 37% of all gene expression traits show two simultaneous linkages, where we have allowed for epistatic interactions. Pairs of jointly linking quantitative trait loci are identified with high confidence for 170 gene expression traits, where it is expected that both loci are true positives for at least 153 traits. In addition, we are able to show that epistatic interactions contribute to gene expression variation for at least 14% of all traits. We compare the proposed approach to an exhaustive two-dimensional scan over all pairs of loci. Surprisingly, we demonstrate that an exhaustive two-dimensional scan is less powerful than the sequential search used here. In addition, we show that a two-dimensional scan does not truly allow one to test for simultaneous linkage, and the statistical significance measured from this existing method cannot be interpreted among many traits
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