922 resultados para semigroup of bounded linear operators


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Epigenetic alterations in the genome of tumor cells have attracted considerable attention since the discovery of widespread alterations in DNA methylation of colorectal cancers over 10 years ago. However, the mechanism of these changes has remained obscure. el-Deiry and coworkers [el-Deiry, W. S., Nelkin, B. D., Celano, P., Yen, R. C., Falco, J. P., Hamilton, S. R. & Baylin, S. B. (1991) Proc. Natl. Acad. Sci. USA 88, 3470-3474], using a quantitative reverse transcription-PCR assay, reported 15-fold increased expression of DNA methyltransferase (MTase) in colon cancer, compared with matched normal colon mucosa, and a 200-fold increase in MTase mRNA levels compared with mucosa of unaffected patients. These authors suggested that increases in MTase mRNA levels play a direct pathogenetic role in colon carcinogenesis. To test this hypothesis, we developed a sensitive quantitative RNase protection assay of MTase, linear over three orders of magnitude. Using this assay on 12 colorectal carcinomas and matched normal mucosal specimens, we observed a 1.8- to 2.5-fold increase in MTase mRNA levels in colon carcinoma compared with levels in normal mucosa from the same patients. There was no significant difference between the normal mucosa of affected and unaffected patients. Furthermore, when the assay was normalized to histone H4 expression, a measure of S-phase-specific expression, the moderate increase in tumor MTase mRNA levels was no longer observed. These data are in contrast to the previously reported results, and they indicate that changes in MTase mRNA levels in colon cancer are nonspecific and compatible with other markers of cell proliferation.

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In the previously determined structure of mitochondrial F1-ATPase determined with crystals grown in the presence of adenylyl-imidodiphosphate (AMP-PNP) and ADP, the three catalytic beta-subunits have different conformations and nucleotide occupancies. AMP-PNP and ADP are bound to subunits beta TP and beta DP, respectively, and the third beta-subunit (beta E) has no bound nucleotide. The efrapeptins are a closely related family of modified linear peptides containing 15 amino acids that inhibit both ATP synthesis and hydrolysis by binding to the F1 catalytic domain of F1F0-ATP synthase. In crystals of F1-ATPase grown in the presence of both nucleotides and inhibitor, efrapeptin is bound to a unique site in the central cavity of the enzyme. Its binding is associated with small structural changes in side chains of F1-ATPase around the binding pocket. Efrapeptin makes hydrophobic contacts with the alpha-helical structure in the gamma-subunit, which traverses the cavity, and with subunit beta E and the two adjacent alpha-subunits. Two intermolecular hydrogen bonds could also form. Intramolecular hydrogen bonds probably help to stabilize efrapeptin's two domains (residues 1-6 and 9-15, respectively), which are connected by a flexible region (beta Ala-7 and Gly-8). Efrapeptin appears to inhibit F1-ATPase by blocking the conversion of subunit beta E to a nucleotide binding conformation, as would be required by an enzyme mechanism involving cyclic interconversion of catalytic sites.

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Aromatic polyketides are assembled by a type 11 (iterative) polyketide synthase (PKS) in bacteria. Understanding the enzymology of such enzymes should provide the information needed for the synthesis of novel polyketides through the genetic engineering of PKSs. Using a previously described cell-free system [B.S. & C.R.H. (1993) Science 262, 1535-1540], we studied a PKS enzyme whose substrate is not directly available and purified the TcmN polyketide cyclase from Streptomyces glaucescens. TcmN is a bifunctional protein that catalyzes the regiospecific cyclization of the Tcm PKS-bound linear decaketide to Tcm F2 and the 0-methylation of Tcm D3 to Tcm B3. In the absence of TcmN, the decaketide formed by the minimal PKS consisting of the TcmJKLM proteins undergoes spontaneous cyclization to form some Tcm F2 as well as SEK15 and many other aberrant shunt products. Addition of purified TcmN to a mixture of the other Tcm PKS components both restores and enhances Tcm F2 production. Interestingly, Tcm F2 but none of the aberrant products was bound tightly to the PKS. The results described support the notion that the polyketide cyclase, not the minimal PKS, dictates the regiospecificity for the cyclization of the linear polyketide intermediate. Furthermore, because the addition of TcmN to the TcmJKLM proteins results in a significant increase of the total yield of decaketide, interactions among the individual components of the Tcm PKS complex must give rise to the optimal PKS activity.

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The kinetics of amyloid fibril formation by beta-amyloid peptide (Abeta) are typical of a nucleation-dependent polymerization mechanism. This type of mechanism suggests that the study of the interaction of Abeta with itself can provide some valuable insights into Alzheimer disease amyloidosis. Interaction of Abeta with itself was explored with the yeast two-hybrid system. Fusion proteins were created by linking the Abeta fragment to a LexA DNA-binding domain (bait) and also to a B42 transactivation domain (prey). Protein-protein interactions were measured by expression of these fusion proteins in Saccharomyces cerevisiae harboring lacZ (beta-galactosidase) and LEU2 (leucine utilization) genes under the control of LexA-dependent operators. This approach suggests that the Abeta molecule is capable of interacting with itself in vivo in the yeast cell nucleus. LexA protein fused to the Drosophila protein bicoid (LexA-bicoid) failed to interact with the B42 fragment fused to Abeta, indicating that the observed Abeta-Abeta interaction was specific. Specificity was further shown by the finding that no significant interaction was observed in yeast expressing LexA-Abeta bait when the B42 transactivation domain was fused to an Abeta fragment with Phe-Phe at residues 19 and 20 replaced by Thr-Thr (AbetaTT), a finding that is consistent with in vitro observations made by others. Moreover, when a peptide fragment bearing this substitution was mixed with native Abeta-(1-40), it inhibited formation of fibrils in vitro as examined by electron microscopy. The findings presented in this paper suggest that the two-hybrid system can be used to study the interaction of Abeta monomers and to define the peptide sequences that may be important in nucleation-dependent aggregation.

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Cu(II) ions have been reacted with a 1/1 mixture of two linear ligands, one containing three 2,2'- bipyridine groups and the other three 2,2':6',2"-terpyridine groups. Absorption spectroscopy and fast atom bombardment mass spectrometry indicate the formation of a trinuclear complex containing one ligand of each kind. Determination of the crystal structure of this compound has confirmed that it is indeed a linear trinuclear complex in which two different ligands are wrapped in a helical fashion around the pentacoordinated metal ions. The central coordination geometry is trigonal bipyramidal; the two lateral Cu(II) ions are in a square pyramidal environment. Thus, a heteroduplex helicate is formed by the self-assembly of two different ligand strands and three specific metal ions induced by the coordination number and geometry of the latter. The self-assembly process may be considered to result from the reading of the steric and binding information present in the two ligands by Cu(II) ions through a pentacoordination algorithm. The same ligands have been shown earlier to yield homoduplex helicates from ions of tetrahedral and octahedral coordination geometry and strands of bidentate bipyridines and tridentate terpyridines, respectively. These two types of artificial double helical species may be related on one hand to the natural homoduplex nucleic acids and on the other hand to the DNA:RNA heteroduplex.

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The integrase protein of human immunodeficiency virus type 1 is necessary for the stable integration of the viral genome into host DNA. Integrase catalyzes the 3' processing of the linear viral DNA and the subsequent DNA strand transfer reaction that inserts the viral DNA ends into host DNA. Although full-length integrase is required for 3' processing and DNA strand transfer activities in vitro, the central core domain of integrase is sufficient to catalyze an apparent reversal of the DNA strand transfer reaction, termed disintegration. This catalytic core domain, as well as the full-length integrase, has been refractory to structural studies by x-ray crystallography or NMR because of its low solubility and propensity to aggregate. In an attempt to improve protein solubility, we used site-directed mutagenesis to replace hydrophobic residues within the core domain with either alanine or lysine. The single substitution of lysine for phenylalanine at position 185 resulted in a core domain that was highly soluble, monodisperse in solution, and retained catalytic activity. This amino acid change has enabled the catalytic domain of integrase to be crystallized and the structure has been solved to 2.5-A resolution [Dyda, F., Hickman, A. B., Jenkins, T. M., Engelman, A., Craigie, R. & Davies, D. R. (1994) Science 266, 1981-1986]. Systematic replacement of hydrophobic residues may be a useful strategy to improve the solubility of other proteins to facilitate structural and biochemical studies.

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In recent years, the topic of car-following has experimented an increased importance in traffic engineering and safety research. This has become a very interesting topic because of the development of driverless cars (Google driverless cars, http://en.wikipedia.org/wiki/Google_driverless_car). Driving models which describe the interaction between adjacent vehicles in the same lane have a big interest in simulation modeling, such as the Quick-Thinking-Driver model. A non-linear version of it can be given using the logistic map, and then chaos appears. We show that an infinite-dimensional version of the linear model presents a chaotic behaviour using the same approach as for studying chaos of death models of cell growth.

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We present a modelling method to estimate the 3-D geometry and location of homogeneously magnetized sources from magnetic anomaly data. As input information, the procedure needs the parameters defining the magnetization vector (intensity, inclination and declination) and the Earth's magnetic field direction. When these two vectors are expected to be different in direction, we propose to estimate the magnetization direction from the magnetic map. Then, using this information, we apply an inversion approach based on a genetic algorithm which finds the geometry of the sources by seeking the optimum solution from an initial population of models in successive iterations through an evolutionary process. The evolution consists of three genetic operators (selection, crossover and mutation), which act on each generation, and a smoothing operator, which looks for the best fit to the observed data and a solution consisting of plausible compact sources. The method allows the use of non-gridded, non-planar and inaccurate anomaly data and non-regular subsurface partitions. In addition, neither constraints for the depth to the top of the sources nor an initial model are necessary, although previous models can be incorporated into the process. We show the results of a test using two complex synthetic anomalies to demonstrate the efficiency of our inversion method. The application to real data is illustrated with aeromagnetic data of the volcanic island of Gran Canaria (Canary Islands).

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The class of metric spaces (X,d) known as small-determined spaces, introduced by Garrido and Jaramillo, are properly defined by means of some type of real-valued Lipschitz functions on X. On the other hand, B-simple metric spaces introduced by Hejcman are defined in terms of some kind of bornologies of bounded subsets of X. In this note we present a common framework where both classes of metric spaces can be studied which allows us to see not only the relationships between them but also to obtain new internal characterizations of these metric properties.

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The theory and methods of linear algebra are a useful alternative to those of convex geometry in the framework of Voronoi cells and diagrams, which constitute basic tools of computational geometry. As shown by Voigt and Weis in 2010, the Voronoi cells of a given set of sites T, which provide a tesselation of the space called Voronoi diagram when T is finite, are solution sets of linear inequality systems indexed by T. This paper exploits systematically this fact in order to obtain geometrical information on Voronoi cells from sets associated with T (convex and conical hulls, tangent cones and the characteristic cones of their linear representations). The particular cases of T being a curve, a closed convex set and a discrete set are analyzed in detail. We also include conclusions on Voronoi diagrams of arbitrary sets.

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In this study we explore how firms deploy intellectual property assets (trademarks) in international context and the impact of cultural characteristics on such activities. Trademarks capture important elements of firm's brand-building efforts. Using growth model, a special case of hierarchical linear model, we demonstrate that that stock of trademarks in foreign market increase future trademark activity. Also, we explore the moderating roles of two cultural dimensions, individualism and masculinity, on such relationships. The findings indicated that firms from countries closer to host market (Russia) on individualism dimension tend to register more trademarks in host market. The opposite result is observed for masculinity dimension.

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A two-component mixture regression model that allows simultaneously for heterogeneity and dependency among observations is proposed. By specifying random effects explicitly in the linear predictor of the mixture probability and the mixture components, parameter estimation is achieved by maximising the corresponding best linear unbiased prediction type log-likelihood. Approximate residual maximum likelihood estimates are obtained via an EM algorithm in the manner of generalised linear mixed model (GLMM). The method can be extended to a g-component mixture regression model with the component density from the exponential family, leading to the development of the class of finite mixture GLMM. For illustration, the method is applied to analyse neonatal length of stay (LOS). It is shown that identification of pertinent factors that influence hospital LOS can provide important information for health care planning and resource allocation. (C) 2002 Elsevier Science B.V. All rights reserved.

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The compelling quality of the Global Change simulation study (Altemeyer, 2003), in which high RWA (right-wing authoritarianism)/high SDO (social dominance orientation) individuals produced poor outcomes for the planet, rests on the inference that the link between high RWA/SDO scores and disaster in the simulation can be generalized to real environmental and social situations. However, we argue that studies of the Person × Situation interaction are biased to overestimate the role of the individual variability. When variables are operationalized, strongly normative items are excluded because they are skewed and kurtotic. This occurs both in the measurement of predictor constructs, such as RWA, and in the outcome constructs, such as prejudice and war. Analyses of normal linear statistics highlight personality variables such as RWA, which produce variance, and overlook the role of norms, which produce invariance. Where both normative and personality forces are operating, as in intergroup contexts, the linear analysis generates statistics for the sample that disproportionately reflect the behavior of the deviant, antinormative minority and direct attention away from the baseline, normative position. The implications of these findings for the link between high RWA and disaster are discussed.

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Coral reefs are the most diverse marine ecosystem and embrace possibly millions of plant, animal and protist species. Mutualistic symbioses are a fundamental feature of coral reefs that have been used to explain their structure, biodiversity and existence. Complex inter-relationships between hosts, habitats and symbionts belie closely coupled nutrient and community dynamics that create the circumstances for something from nothing (or the oasis in a nutrient desert). The flip side of these dynamics is a close dependency between species, which results in a series of non-linear relationships as conditions change. These responses are being highlighted as anthropogenic influences increase across the world's tropical and subtropical coastlines. Caribbean as well as Indo-Pacific coral populations are now in a serious decline in many parts of the world. This has resulted in a significant reorganization of how coral reef ecosystems function. Among the spectra of changes brought about by humans is rapid climate change. Mass coral bleaching - the loss of the dinoflagellate symbionts from reef-building corals - and mortality has affected the world's coral reefs with increasing frequency and intensity since the late 1970s. Mass bleaching events, which often cover thousands of square kilometres of coral reefs, are triggered by small increases (+1-3degreesC) in water temperature. These increases in sea temperature are often seen during warm phase weather conditions (e.g. ENSO) and are increasing in size and magnitude. The loss of living coral cover (e.g. 16% globally in 1998, an exceptionally warm year) is resulting in an as yet unspecified reduction in the abundance of a myriad of other species. Projections from general circulation models (GCM) used to project changes in global temperature indicate that conditions even under the mildest greenhouse gas emission scenarios may exceed the thermal tolerances of most reef-building coral communities. Research must now explore key issues such as the extent to which the thermal tolerances of corals and their symbionts are dynamic if bleaching and disease are linked; how the loss of high densities of reef-building coral will affect other dependent species; and, how the loss of coral populations will affect the millions of people globally who depend on coral reefs for their daily survival.