67 resultados para Differential calculus in Banach spaces
Resumo:
Dealing with uncertainty problems in intelligent systems has attracted a lot of attention in the AI community. Quite a few techniques have been proposed. Among them, the Dempster-Shafer theory of evidence (DS theory) has been widely appreciated. In DS theory, Dempster's combination rule plays a major role. However, it has been pointed out that the application domains of the rule are rather limited and the application of the theory sometimes gives unexpected results. We have previously explored the problem with Dempster's combination rule and proposed an alternative combination mechanism in generalized incidence calculus. In this paper we give a comprehensive comparison between generalized incidence calculus and the Dempster-Shafer theory of evidence. We first prove that these two theories have the same ability in representing evidence and combining DS-independent evidence. We then show that the new approach can deal with some dependent situations while Dempster's combination rule cannot. Various examples in the paper show the ways of using generalized incidence calculus in expert systems.
Resumo:
PURPOSE
To investigate changes in gene expression during aging of the retina in the mouse.
METHODS
Total RNA was extracted from the neuroretina of young (3-month-old) and old (20-month-old) mice and processed for microarray analysis. Age-related, differentially expressed genes were assessed by the empiric Bayes shrinkagemoderated t-statistics method. Statistical significance was based on dual criteria of a ratio of change in gene expression >2 and a P < 0.01. Differential expression in 11 selected genes was further verified by real-time PCR. Functional pathways involved in retinal ageing were analyzed by an online software package (DAVID-2008) in differentially expressed gene lists. Age-related changes in differential expression in the identified retinal molecular pathways were further confirmed by immunohistochemical staining of retinal flat mounts and retinal cryosections.
RESULTS
With ageing of the retina, 298 genes were upregulated and 137 genes were downregulated. Functional annotation showed that genes linked to immune responses (Ir genes) and to tissue stress/injury responses (TS/I genes) were most likely to be modified by ageing. The Ir genes affected included those regulating leukocyte activation, chemotaxis, endocytosis, complement activation, phagocytosis, and myeloid cell differentiation, most of which were upregulated, with only a few downregulated. Increased microglial and complement activation in the aging retina was further confirmed by confocal microscopy of retinal tissues. The most strongly upregulated gene was the calcitonin receptor (Calcr; >40-fold in old versus young mice).
CONCLUSIONS
The results suggest that retinal ageing is accompanied by activation of gene sets, which are involved in local inflammatory responses. A modified form of low-grade chronic inflammation (para-inflammation) characterizes these aging changes and involves mainly the innate immune system. The marked upregulation of Calcr in ageing mice most likely reflects this chronic inflammatory/stress response, since calcitonin is a known systemic biomarker of inflammation/sepsis. © Association for Research in Vision and Ophthalmology.
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This research characterizes the weathering of natural building stone using an unsteady-state portable probe permeameter. Variations between the permeability properties of fresh rock and the same rocks after the early stages of a salt weathering simulation are used to examine the effects of salt accumulation on spatial variations in surface rock permeability properties in two limestones from Spain. The Fraga and Tudela limestones are from the Ebro basin and are of Miocene age. Both stone types figure largely in the architectural heritage of Spain and, in common with many other building limestones, they are prone to physical damage from salt crystallization in pore spaces. To examine feedbacks associated with salt accumulation during the early stages of this weathering process, samples of the two stone types were subjected to simulated salt weathering under laboratory conditions using magnesium sulphate and sodium chloride at concentrations of 5% and 15%. Permeability mapping and statistical analysis (aspatial statistics and spatial prediction) before and after salt accumulation are used to assess changes in the spatial variability of permeability and to correlate these changes with salt movement, porosity change, potential rock deterioration and textural characteristics. Statistical analyses of small-scale permeability measurements are used to evaluate the drivers for decay and hence aid the prediction of the weathering behaviour of the two limestones.
Resumo:
A bounded linear operator $T$ on a Banach space $X$ is called frequently hypercyclic if there exists $x\in X$ such that the lower density of the set $\{n\in\N:T^nx\in U\}$ is positive for any non-empty open subset $U$ of $X$. Bayart and Grivaux have raised a question whether there is a frequently hypercyclic operator on any separable infinite dimensional Banach space. We prove that the spectrum of a frequently hypercyclic operator has no isolated points. It follows that there are no frequently hypercyclic operators on all complex and on some real hereditarily indecomposable Banach spaces, which provides a negative answer to the above question.
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A recent genome-wide association study reported association between schizophrenia and the ZNF804A gene on chromosome 2q32.1. We attempted to replicate these findings in our Irish Case-Control Study of Schizophrenia (ICCSS) sample (N=1021 cases, 626 controls). Following consultation with the original investigators, we genotyped three of the most promising single-nucleotide polymorphisms (SNPs) from the Cardiff study. We replicate association with rs1344706 (trend test one-tailed P=0.0113 with the previously associated A allele) in ZNF804A. We detect no evidence of association with rs6490121 in NOS1 (one-tailed P=0.21), and only a trend with rs9922369 in RGRIP1L (one-tailed P=0.0515). On the basis of these results, we completed genotyping of 11 additional linkage disequilibrium-tagging SNPs in ZNF804A. Of 12 SNPs genotyped, 11 pass quality control criteria and 4 are nominally associated, with our most significant evidence of association at rs7597593 (P=0.0013) followed by rs1344706. We observe no evidence of differential association in ZNF804A on the basis of family history or sex of case. The associated SNP rs1344706 lies in approximately 30 bp of conserved mammalian sequence, and the associated A allele is predicted to maintain binding sites for the brain-expressed transcription factors MYT1l and POU3F1/OCT-6. In controls, expression is significantly increased from the A allele of rs1344706 compared with the C allele. Expression is increased in schizophrenic cases compared with controls, but this difference does not achieve statistical significance. This study replicates the original reported association of ZNF804A with schizophrenia and suggests that there is a consistent link between the A allele of rs1344706, increased expression of ZNF804A and risk for schizophrenia.
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Alex Proyas' science fiction film Dark City (1998) puts forth questions about the building process of a city. The aliens in the film constantly alter each street, building and room to create the right environment for humans to dwell. The ‘strangers’ believe that they need to study humans in their spaces to understand human nature. They use bits and pieces of people's memories to reconstruct the city.
Christian Norberg-Schulz identifies four elements of space: physical, perceptual, existential and conceptual. Physical space is physical existence as it is. Perceptual space is the temporary space the user perceives. Existential space, for instance, the meaning of the concept of home, is abstract and permanent; it does not change with changing conditions. Finally, conceptual space, in his spatial philosophy, is the space concept of specialists like architects, economists and mathematicians.
This article analyses the future noir environment of Dark City from a spatial perspective. The notion of building is studied as to physical, perceptual, existential and conceptual spaces of Norberg-Schulz through concepts of home, identity, belonging, and alienation with reference to the architecture of the city.
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Based on a survey of 711 children in Northern Ireland, this paper explores a range of aspects of experiences of belonging and exclusion in relation to school among three main minority ethnic groups: Irish Traveller, Chinese/Asian and European Migrant children. The study examines variations between each group and how they compare to the White settled population. The findings indicate that all three groups experience lower levels of belonging and higher levels of exclusion compared to their White, settled Northern Irish peers. The experiences of Irish Traveller children were the most negative. The article adds to the dearth of data on minority ethnic children living in mainly white regions in the UK and Ireland. It argues for the need to move beyond achievement gaps in assessing minority ethnic children’s differential experiences in education and highlights the potential of belongingness as a concept for the further study of differential patterns of need and processes of inclusion.
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Architecture plays an important role in Andrei Tarkovsky’s films in defining the atmosphere of a space and memory of a place. This paper is a study of how the settings in Tarkovsky’s Solaris (1972) are used to provoke and convey feelings to the audience through architectonic space depicting the city, library, home and aspects of the home such as paintings and mirrors. The rooms depicted in Solaris (Fig. 1) are filled with symbolism and detail. They are imbued with a poetic quality rarely seen in cinema. The everyday places of city, library and home in Solaris are given an emotional depth not usually found in these spaces in reality. Solaris is an anomaly among Tarkovsky’s films in that the majority of the narrative takes place in an enclosed built set. Rarely do Tarkovsky spaces exert so much control over the actors’ movements within a meticulously designed and detailed set. This paper analyses how the director uses constructed sets in Solaris to confront our perception of memories, dreams and reality.
The intent of this study is to gain better understanding of the link between architecture and other art forms such as painting and cinema through spatial analysis. This study also relates to our imagination and how we perceive architectonic space portrayed through cinematic images. The architectural theory of Juhani Pallasmaa forms the basis of this paper.
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Genetic risk factors for chronic kidney disease (CKD) are being identified through international collaborations. By comparison, epigenetic risk factors for CKD have only recently been considered using population-based approaches. DNA methylation is a major epigenetic modification that is associated with complex diseases, so we investigated methylome-wide loci for association with CKD. A total of 485,577 unique features were evaluated in 255 individuals with CKD (cases) and 152 individuals without evidence of renal disease (controls). Following stringent quality control, raw data were quantile normalized and β values calculated to reflect the methylation status at each site. The difference in methylation status was evaluated between cases and controls with resultant P values adjusted for multiple testing. Genes with significantly increased and decreased levels of DNA methylation were considered for biological relevance by functional enrichment analysis using KEGG pathways in Partek Genomics Suite. Twenty-three genes, where more than one CpG per loci was identified with Padjusted < 10−8, demonstrated significant methylation changes associated with CKD and additional support for these associated loci was sought from published literature. Strong biological candidates for CKD that showed statistically significant differential methylation include CUX1, ELMO1, FKBP5, INHBA-AS1, PTPRN2, and PRKAG2 genes; several genes are differentially methylated in kidney tissue and RNA-seq supports a functional role for differential methylation in ELMO1 and PRKAG2 genes. This study reports the largest, most comprehensive, genome-wide quantitative evaluation of DNA methylation for association with CKD. Evidence confirming methylation sites influence development of CKD would stimulate research to identify epigenetic therapies that might be clinically useful for CKD.
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There has been much scholarly debate about the significance and influence of racialist thinking in the political and cultural history of nineteenth-century Ireland. With reference to that ongoing historiographical discussion, this paper considers the racial geographies and opposing political motivations of two Irish ethnologists, Abraham Hume and John McElheran, using their racialist regimes to query some of the common assumptions that have informed disagreements over the role and reach of racial typecasting in mid-nineteenth-century Ireland. As well as examining in detail the racial imaginaries promulgated by Hume and McElheran, the paper also argues for the importance of situating racialist discourse in the spaces in which it was communicated and contested. Further, in highlighting the ways in which Hume and McElheran collapsed together race, class and religion, the paper troubles the utility of a crisp analytical distinction between those disputed categories.
Resumo:
AIMS: Epigenetic modifications, such as DNA methylation, can influence the risk of developing kidney disease. We studied methylation profiles in genes related to mitochondrial function to assess whether differences in these epigenetic features were associated with diabetic kidney disease in people with Type 1 diabetes.
METHODS: A case-control association study was undertaken (n = 196 individuals with diabetic kidney disease vs. n = 246 individuals without renal disease). Participants were White and diagnosed with Type 1 diabetes before 31 years of age. Genes that encode mitochondrial proteins (n = 780) were downloaded from mitoproteome. org. DNA methylation profiles from blood-derived DNA were generated using the Illumina Infinium HumanMethylation450 (262 samples) and Illumina Infinium HumanMethylation27 (192 samples) arrays. Beta values (β) were calculated and quality control was conducted, including evaluating blind duplicate DNA samples.
RESULTS: Fifty-four Cytosine-phosphate-Guanine probes across 51 unique genes were significantly associated (P ≤ 10(-8) ) with diabetic kidney disease across both the 450K and the 27K methylation arrays. A subanalysis, employing the 450K array, identified 755 Cytosine-phosphate-Guanine probes in 374 genes that were significantly associated (P ≤ 10(-8) ) with end-stage renal disease. Forty-six of the top-ranked variants for diabetic kidney disease were also identified as being differentially methylated in individuals with end-stage renal disease. The largest change in methylation (Δβ = 0.2) was observed for cg03169527 in the TAMM41 gene, chromosome 3p25.2. Three genes, PMPCB, TSFM and AUH, were observed with differential methylation at multiple Cytosine-phosphate-Guanine sites each (P < 10(-12) ).
CONCLUSIONS: Differential methylation in genes that influence mitochondrial function are associated with kidney disease in individuals with Type 1 diabetes.
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The splicing factor SF3B1 is the most commonly mutated gene in the myelodysplastic syndrome (MDS), particularly in patients with refractory anemia with ring sideroblasts (RARS). We investigated the functional effects of SF3B1 disruption in myeloid cell lines: SF3B1 knockdown resulted in growth inhibition, cell cycle arrest and impaired erythroid differentiation and deregulation of many genes and pathways, including cell cycle regulation and RNA processing. MDS is a disorder of the hematopoietic stem cell and we thus studied the transcriptome of CD34 + cells from MDS patients with SF3B1 mutations using RNA sequencing. Genes significantly differentially expressed at the transcript andor exon level in SF3B1 mutant compared with wild-type cases include genes that are involved in MDS pathogenesis (ASXL1 and CBL), iron homeostasis and mitochondrial metabolism (ALAS2, ABCB7 and SLC25A37) and RNA splicingprocessing (PRPF8 and HNRNPD). Many genes regulated by a DNA damage-induced BRCA1-BCLAF1-SF3B1 protein complex showed differential expressionsplicing in SF3B1 mutant cases. This is the first study to determine the target genes of SF3B1 mutation in MDS CD34 + cells. Our data indicate that SF3B1 has a critical role in MDS by affecting the expression and splicing of genes involved in specific cellular processespathways, many of which are relevant to the known RARS pathophysiology, suggesting a causal link.
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In this paper we study the well-posedness for a fourth-order parabolic equation modeling epitaxial thin film growth. Using Kato's Method [1], [2] and [3] we establish existence, uniqueness and regularity of the solution to the model, in suitable spaces, namelyC0([0,T];Lp(Ω)) where with 1<α<2, n∈N and n≥2. We also show the global existence solution to the nonlinear parabolic equations for small initial data. Our main tools are Lp–Lq-estimates, regularization property of the linear part of e−tΔ2 and successive approximations. Furthermore, we illustrate the qualitative behavior of the approximate solution through some numerical simulations. The approximate solutions exhibit some favorable absorption properties of the model, which highlight the stabilizing effect of our specific formulation of the source term associated with the upward hopping of atoms. Consequently, the solutions describe well some experimentally observed phenomena, which characterize the growth of thin film such as grain coarsening, island formation and thickness growth.
Resumo:
This paper explores one of the defining aspects of politics and identity in Northern Ireland: the control and utilization of public space, particularly urban public space. Ethnopolitical conflict consistently reveals itself through contestation over public space. The role of ritual events is important in the development of political identity and group cohesion. The symbolic landscape will be constructed through displays of identity by dominant groups and their ability to control that landscape by inhibiting displays by other groups. This will reveal itself through frequent contests over rituals and symbols. This paper looks at the role of ritual events in civic spaces in Belfast but particularly asks what role they might play in conflict transformation. The 1998 agreement offered political structures that provided for shared power after 30 years of violent conflict. At the same time, there was an increase in contestation over public space as political groups within the previously marginalized Catholic community demanded recognition within the public sphere and a rebalancing of the public space through changes to the previously dominant Protestant and Unionist expression of identity. The paper concludes by suggesting that in “shared space” a new civic identity that spans the political and ethnic divisions has started to develop in Belfast and that this might evolve despite an increased residential division throughout the urban area.
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We analyze four extreme AGN transients to explore the possibility that they are caused by rare, high-amplitude microlensing events. These previously unknown type-I AGN are located in the redshift range 0.6-1.1 and show changes of > 1.5 magnitudes in the g-band on a timescale of ~years. Multi-epoch optical spectroscopy, from the William Herschel Telescope, shows clear differential variability in the broad line fluxes with respect to the continuum changes and also evolution in the line profiles. In two cases a simple point-source, point-lens microlensing model provides an excellent match to the long-term variability seen in these objects. For both models the parameter constraints are consistent with the microlensing being due to an intervening stellar mass object but as yet there is no confirmation of the presence of an intervening galaxy. The models predict a peak amplification of 10.3/13.5 and an Einstein timescale of 7.5/10.8 years respectively. In one case the data also allow constraints on the size of the CIII] emitting region, with some simplifying assumptions, to to be ~1.0-6.5 light-days and a lower limit on the size of the MgII emitting region to be > 9 light-days (half-light radii). This CIII] radius is perhaps surprisingly small. In the remaining two objects there is spectroscopic evidence for an intervening absorber but the extra structure seen in the lightcurves requires a more complex lensing scenario to adequately explain.