On a resampling approach for tests on the number of clusters with mixture model-based clustering of tissue samples

We consider the problem of assessing the number of clusters in a limited number of tissue samples containing gene expressions for possibly several thousands of genes. It is proposed to use a normal mixture model-based approach to the clustering of the tissue samples. One advantage of this approach is that the question on the number of clusters in the data can be formulated in terms of a test on the smallest number of components in the mixture model compatible with the data. This test can be carried out on the basis of the likelihood ratio test statistic, using resampling to assess its null distribution. The effectiveness of this approach is demonstrated on simulated data and on some microarray datasets, as considered previously in the bioinformatics literature. (C) 2004 Elsevier Inc. All rights reserved.

Greenberger-Horne-Zeilinger-type and W-type entangled coherent states: Generation and Bell-type inequality tests without photon counting

We study Greenberger-Horne-Zeilinger-type (GHZ-type) and W-type three-mode entangled coherent states. Both types of entangled coherent states violate Mermin's version of the Bell inequality with threshold photon detection (i.e., without photon counting). Such an experiment can be performed using linear optics elements and threshold detectors with significant Bell violations for GHZ-type entangled coherent states. However, to demonstrate Bell-type inequality violations for W-type entangled coherent states, additional nonlinear interactions are needed. We also propose an optical scheme to generate W-type entangled coherent states in free-traveling optical fields. The required resources for the generation are a single-photon source, a coherent state source, beam splitters, phase shifters, photodetectors, and Kerr nonlinearities. Our scheme does not necessarily require strong Kerr nonlinear interactions; i.e., weak nonlinearities can be used for the generation of the W-type entangled coherent states. Furthermore, it is also robust against inefficiencies of the single-photon source and the photon detectors.

Molecular discrimination of taeniid cestodes :

DNA approaches are now being used routinely for accurate identification of Echinococcus and Taenia species, subspecies and strains, and in molecular epidemiological surveys of echinococcosis/taeniasis in different geographical settings and host assemblages. The publication of the complete sequences of the mitochondrial (int) genomes of E. granulosus, E. multilocularis, T solium and Asian Taenia, and the availability of mtDNA sequences for a number of other taeniid genotypes, has provided additional genetic information that can be used for more in depth phylogenetic and taxonomic studies of these parasites. This very rich sequence information has provided a solid molecular basis, along with a range of different biological, epidemiological, biochemical and other molecular-genetic criteria, for revising the taxonomy of the genus Echinococcus and for estimating the evolutionary time of divergence of the various taxa. Furthermore, the accumulating genetic data has allowed the development of PCR-based tests for unambiguous identification of Echinococcus eggs in the faeces of definitive hosts and in the environment. Molecular phylogenies derived from mtDNA sequence comparisons of geographically distributed samples of T solium provide molecular evidence for two genotypes, one being restricted to Asia, with the other occurring in Africa and America. Whether the two genetic forms of T solium differ in important phenotypic characteristics remains to be determined. As well, minor DNA sequence differences have been reported between isolates of T saginata and Asian Taenia. There has been considerable discussion over a number of years regarding the taxonomic position of Asian Taenia and whether it should be regarded as a genotype, strain, subspecies or sister species of T saginata. The available molecular genetic data do not support independent species status for Asian Taenia and T saginata. What is in agreement is that both taxa are closely related to each other but distantly related to T solium. This is important in public health terms as it predicts that cysticercosis in humans attributable to Asian Taenia does not occur, because cysticercosis is unknown in T saginata. (C) 2005 Elsevier Ireland Ltd. All rights reserved.