Morita cohomology

We consider two categorifications of the cohomology of a topological space X by taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in perfect complexes of chains on the loop space of X.Comment: 33 page

Non-parametric Bayesian modelling of digital gene expression data

Next-generation sequencing technologies provide a revolutionary tool for generating gene expression data. Starting with a fixed RNA sample, they construct a library of millions of differentially abundant short sequence tags or "reads", which constitute a fundamentally discrete measure of the level of gene expression. A common limitation in experiments using these technologies is the low number or even absence of biological replicates, which complicates the statistical analysis of digital gene expression data. Analysis of this type of data has often been based on modified tests originally devised for analysing microarrays; both these and even de novo methods for the analysis of RNA-seq data are plagued by the common problem of low replication. We propose a novel, non-parametric Bayesian approach for the analysis of digital gene expression data. We begin with a hierarchical model for modelling over-dispersed count data and a blocked Gibbs sampling algorithm for inferring the posterior distribution of model parameters conditional on these counts. The algorithm compensates for the problem of low numbers of biological replicates by clustering together genes with tag counts that are likely sampled from a common distribution and using this augmented sample for estimating the parameters of this distribution. The number of clusters is not decided a priori, but it is inferred along with the remaining model parameters. We demonstrate the ability of this approach to model biological data with high fidelity by applying the algorithm on a public dataset obtained from cancerous and non-cancerous neural tissues

Hepatitis B prevalence in two Maltese sub-populations

Hepatitis B surface antigen was measured by enzyme immunoassay in a random sample of 1258 healthy pregnant women attending the ante-natal clinics of St. Luke’s Hospital, Malta and Gozo General Hospital, Gozo, and 364 intravenous drug users attending the detoxification centre, SLH. Eight of the pregnant women and ten of the drug addicts were positive for the surface antigen, accounting for a prevalence of 6/1000 and 30/1000 for each cohort, respectively. This would be consistent with low/intermediate prevalence rate in accordance with WHO criteria.peer-reviewe