Weight constrained maximum split clustering

ConsiderN entities to be classified, with given weights, and a matrix of dissimilarities between pairs of them. The split of a cluster is the smallest dissimilarity between an entity in that cluster and an entity outside it. The single-linkage algorithm provides partitions intoM clusters for which the smallest split is maximum. We consider the problems of finding maximum split partitions with exactlyM clusters and with at mostM clusters subject to the additional constraint that the sum of the weights of the entities in each cluster never exceeds a given bound. These two problems are shown to be NP-hard and reducible to a sequence of bin-packing problems. A (N ²) algorithm for the particular caseM =N of the second problem is also presented. Computational experience is reported.Acknowledgments: Work of the first author was supported in part by AFOSR grants 0271 and 0066 to Rutgers University and was done in part during a visit to GERAD, Ecole Polytechnique de Montréal, whose support is gratefully acknowledged. Work of the second and third authors was supported by NSERC grant GP0036426 and by FCAR grant 89EQ4144. We are grateful to Silvano Martello and Paolo Toth for making available to us their program MTP for the bin-paking problem and to three anonymous referees for comments which helped to improve the presentation of the paper.     

三维激光扫描仪油膜粗糙度检测

【目的】观测水面油膜粗糙度,以进一步研究水面油膜对后向散射的影响,提高微波监测水面溢油的精度。【方法】采用三维激光扫描仪观测激光垂直扫描油面获得测距数据,多次测量求平均值后再求其均方根误差以实现对油膜粗糙度的观测。【结果】随着含水率的增加,原油张力和粘度逐渐增大,当温度为20~33℃时,其乳化饱和含水率不大于21%,在理想状态下的原油乳化制备过程中,油膜粗糙度与含水率基本呈余弦关系。三维激光扫描仪可在0~6m/s风速下观测油膜厚度0.005mm的油面粗糙度。【结论】采用三维激光扫描仪观测油膜粗糙度是可行的。     

Architecture and regulation of HtrA-family proteins involved in protein quality control and stress response

Protein quality control is vital for all living cells and sophisticated molecular mechanisms have evolved to prevent the excessive accumulation of unfolded proteins. High-temperature requirement A (HtrA) proteases have been identified as important ATP-independent quality-control factors in most species. HtrA proteins harbor a serine-protease domain and at least one peptide-binding PDZ domain to ensure efficient removal of misfolded or damaged proteins. One distinctive property of HtrAs is their ability to assemble into complex oligomers. Whereas all examined HtrAs are capable of forming pyramidal 3-mers, higher-order complexes consisting of up to 24 molecules have been reported. Tight control of chaperone and protease function is of pivotal importance in preventing deleterious HtrA-protease activity. In recent years, structural biology provided detailed insights into the molecular basis of the regulatory mechanisms, which include unique intramolecular allosteric signaling cascades and the dynamic switching of oligomeric states of HtrA proteins. Based on these results, functional models for many family members have been developed. The HtrA protein family represents a remarkable example of how structural and functional diversity is attained from the assembly of simple molecular building blocks.     

Two types of muscarinic acetylcholine receptors in Drosophila and other arthropods

Muscarinic acetylcholine receptors (mAChRs) play a central role in the mammalian nervous system. These receptors are G protein-coupled receptors (GPCRs), which are activated by the agonists acetylcholine and muscarine, and blocked by a variety of antagonists. Mammals have five mAChRs (m1–m5). In this study, we cloned two structurally related GPCRs from the fruit fly Drosophila melanogaster, which, after expression in Chinese hamster ovary cells, proved to be muscarinic acetylcholine receptors. One mAChR (the A-type; encoded by gene CG4356) is activated by acetylcholine (EC₅₀, 5 × 10^?8 M) and muscarine (EC₅₀, 6 × 10^?8 M) and blocked by the classical mAChR antagonists atropine, scopolamine, and 3-quinuclidinyl-benzilate (QNB), while the other (the B-type; encoded by gene CG7918) is also activated by acetylcholine, but has a 1,000-fold lower sensitivity to muscarine, and is not blocked by the antagonists. A- and B-type mAChRs were also cloned and functionally characterized from the red flour beetle Tribolium castaneum. Recently, Haga et al. (Nature 2012, 482: 547–551) published the crystal structure of the human m2 mAChR, revealing 14 amino acid residues forming the binding pocket for QNB. These residues are identical between the human m2 and the D. melanogaster and T. castaneum A-type mAChRs, while many of them are different between the human m2 and the B-type receptors. Using bioinformatics, one orthologue of the A-type and one of the B-type mAChRs could also be found in all other arthropods with a sequenced genome. Protostomes, such as arthropods, and deuterostomes, such as mammals and other vertebrates, belong to two evolutionarily distinct lineages of animal evolution that split about 700 million years ago. We found that animals that originated before this split, such as cnidarians (Hydra), had two A-type mAChRs. From these data we propose a model for the evolution of mAChRs.     

Discovery of previously unidentified genomic disorders from the duplication architecture of the human genome

Genomic disorders are characterized by the presence of flanking segmental duplications that predispose these regions to recurrent rearrangement. Based on the duplication architecture of the genome, we investigated 130 regions that we hypothesized as candidates for previously undescribed genomic disorders. We tested 290 individuals with mental retardation by BAC array comparative genomic hybridization and identified 16 pathogenic rearrangements, including de novo microdeletions of 17q21.31 found in four individuals. Using oligonucleotide arrays, we refined the breakpoints of this microdeletion, defining a 478-kb critical region containing six genes that were deleted in all four individuals. We mapped the breakpoints of this deletion and of four other pathogenic rearrangements in 1q21.1, 15q13, 15q24 and 17q12 to flanking segmental duplications, suggesting that these are also sites of recurrent rearrangement. In common with the 17q21.31 deletion, these breakpoint regions are sites of copy number polymorphism in controls, indicating that these may be inherently unstable genomic regions.     

Investigating metal-binding in proteins by nuclear magnetic resonance

Metal ions play a key role for the function of many proteins. The interaction of the metal ion with the protein and its involvement in the function of the protein vary widely. In some proteins, the metal ion is bound tightly to the ligand residues and may be the key player in the function of the protein, as in the case of blue copper proteins. In other proteins, the metal ion is bound only temporarily and loosely to the protein, as in the case of some metalloenzymes and other proteins where the metal ion acts as a cofactor necessary for the function of the protein. Such proteins are often known as metal ion-activated proteins. The review focuses on recent nuclear magnetic resonance (NMR) studies of a series of metal-dependent proteins and the characterization of the metal-binding sites. In particular, we focus on NMR techniques for studying metal binding to proteins such as chemical shift mapping, paramagnetic NMR and changes in backbone dynamics upon metal binding. Received 12 October 2006; received after revision 30 November 2006; accepted 5 February 2007     

Energy and protein content of coyote prey in southeastern Idaho

Gross energy, digestible energy, crude protein, and digestible crude protein were estimated for two leporids and five rodents that were the primary prey of coyotes ( Canis latrans ) in southeastern Idaho. Digestible protein estimates differed (38%–54%) more than digestible energy (3.5–4.4 kcal), in the prey examined.     

The same sequence variant on 9p21 associates with myocardial infarction, abdominal aortic aneurysm and intracranial aneurysm

Recently, two common sequence variants on 9p21, tagged by rs10757278-G and rs10811661-T, were reported to be associated with coronary artery disease (CAD) and type 2 diabetes (T2D), respectively. We proceeded to further investigate the contributions of these variants to arterial diseases and T2D. Here we report that rs10757278-G is associated with, in addition to CAD, abdominal aortic aneurysm (AAA; odds ratio (OR) = 1.31, P = 1.2 x 10(-12)) and intracranial aneurysm (OR = 1.29, P = 2.5 x 10(-6)), but not with T2D. This variant is the first to be described that affects the risk of AAA and intracranial aneurysm in many populations. The association of rs10811661-T to T2D replicates in our samples, but the variant does not associate with any of the five arterial diseases examined. These findings extend our insight into the role of the sequence variant tagged by rs10757278-G and show that it is not confined to atherosclerotic diseases.     

Loss of heterozygosity in three embryonal tumours suggests a common pathogenetic mechanism

Children with the Beckwith-Wiedemann syndrome have a greatly increased potential for the specific development of the embryonal tumours hepatoblastoma, rhabdomyosarcoma and Wilms' tumour. Data obtained with molecular probes suggest that the association between these disparate, rare tumour types reflects a common pathogenetic mechanism that entails the somatic development of homozygosity for a mutant allele at a locus on human chromosome 11.