1,003 research outputs found

    Disjoint Borel Functions

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    For each aRa \in \mathbb{R}, we define a Borel function fa:RRf_a : \mathbb{R} \to \mathbb{R} which encodes aa in a certain sense. We show that for each Borel g:RRg : \mathbb{R} \to \mathbb{R}, fag=f_a \cap g = \emptyset implies aΔ11(c)a \in \Delta^1_1(c) where cc is any code for gg. We generalize this theorem for gg in larger pointclasses Γ\Gamma. Specifically, if Γ=Δ21\Gamma = \mathbf{\Delta}^1_2, then aL[c]a \in L[c]. Also for all nωn \in \omega, if Γ=Δ3+n1\Gamma = \mathbf{\Delta}^1_{3 + n}, then aM1+n(c)a \in \mathcal{M}_{1 + n}(c).Comment: 15 page

    Transcript for Episode 23: Elevating Education: Constitution Provides Educational Equity, Finance & Governance

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    https://digitalcommons.mtech.edu/crucible_transcriptions/1022/thumbnail.jp

    Visualisation and graph-theoretic analysis of a large-scale protein structural interactome

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    RIGHTS : This article is licensed under the BioMed Central licence at http://www.biomedcentral.com/about/license which is similar to the 'Creative Commons Attribution Licence'. In brief you may : copy, distribute, and display the work; make derivative works; or make commercial use of the work - under the following conditions: the original author must be given credit; for any reuse or distribution, it must be made clear to others what the license terms of this work are.Abstract Background Large-scale protein interaction maps provide a new, global perspective with which to analyse protein function. PSIMAP, the Protein Structural Interactome Map, is a database of all the structurally observed interactions between superfamilies of protein domains with known three-dimensional structure in the PDB. PSIMAP incorporates both functional and evolutionary information into a single network. Results We present a global analysis of PSIMAP using several distinct network measures relating to centrality, interactivity, fault-tolerance, and taxonomic diversity. We found the following results: Centrality: we show that the center and barycenter of PSIMAP do not coincide, and that the superfamilies forming the barycenter relate to very general functions, while those constituting the center relate to enzymatic activity. Interactivity: we identify the P-loop and immunoglobulin superfamilies as the most highly interactive. We successfully use connectivity and cluster index, which characterise the connectivity of a superfamily's neighbourhood, to discover superfamilies of complex I and II. This is particularly significant as the structure of complex I is not yet solved. Taxonomic diversity: we found that highly interactive superfamilies are in general taxonomically very diverse and are thus amongst the oldest. Fault-tolerance: we found that the network is very robust as for the majority of superfamilies removal from the network will not break up the network. Conclusions Overall, we can single out the P-loop containing nucleotide triphosphate hydrolases superfamily as it is the most highly connected and has the highest taxonomic diversity. In addition, this superfamily has the highest interaction rank, is the barycenter of the network (it has the shortest average path to every other superfamily in the network), and is an articulation vertex, whose removal will disconnect the network. More generally, we conclude that the graph-theoretic and taxonomic analysis of PSIMAP is an important step towards the understanding of protein function and could be an important tool for tracing the evolution of life at the molecular level.Published versio

    Use of antibiotic spacers for knee endoprosthesis infections treatment

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    OBJCTIVE: The aim of this study is to evaluate the use of cement spacers impregnated with antibiotics for the treatment of infections in the nonconventional endoprostheses of the knee. METHODOLOGY: We have treated seven patients since 2004 (of which six were submitted to surgery in our service and one patient had been submitted to a primary tumor surgery in another removal service) with deep infection in knee tumor prosthesis. All patients were submitted to endoprosthesis removal and reconstructed with antibiotic cement spacer. All patients were monitored both clinically and by lab tests as for monitoring the evolution, being considered able for reviews after 6 (six) months without infections signs. RESULTS: We have noted a small predominance of infectious processes on the prosthesis inserted on proximal tibia as compared with distal femur (57.1% x 42.9%). The mean follow-up time of patients was 68.2 months. During the follow up, one patient died as a result of the root disease. Six patients out of seven were regarded as cured and one persisted with infection signs and symptoms. CONCLUSION: The results obtained up to date have motivated us to continue using this method of treatment.OBJETIVO: O objetivo do estudo é avaliar a utilização dos espaçadores de cimento acrílico com antibiótico no tratamento das infecções em endopróteses não convencionais de joelho. MÉTODO: Desde de 2004 foram tratados sete pacientes (seis pacientes operados no nosso serviço e um paciente que havia sido submetido a cirurgia primária do tumor em outro serviço) com infecção peri-endoprótese não convencional de joelho. Todos pacientes foram submetidos a retirada da endoprótese e reconstrução com espaçador com cimento acrílico com antibiótico. Todos os pacientes foram monitorados clínica e laboratorialmente quanto ao controle da evolução, sendo considerados aptos para a revisão e recolocação de endoprótese após 06 (seis) meses sem sinais infecciosos RESULTADOS: Notamos um discreto predomínio do do processo infeccioso nas próteses realizadas na tíbia proximal em comparação com o fêmur distal (57,1% x 42,9%). O seguimento médio dos pacientes foi 68,2 meses. Durante o seguimento, um paciente faleceu devido a doença de base. Dos sete pacientes, 6 foram considerados curados e um persistiu com sinais e sintomas de infecção. CONCLUSÃO: Os resultados obtidos até o momento tem motivado a continuidade deste método de tratamento.Universidade Federal de São Paulo (UNIFESP) Escola Paulista de Medicina Departamento de Ortopedia e TraumatologiaUNIFESP, EPM, Depto. de Ortopedia e TraumatologiaSciEL

    Planning Framework Options for The Massachusetts Ocean Plan (DRAFT)

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    The Massachusetts Ocean Partnership (MOP) Planning Frameworks Team, in consultation with the Massachusetts Executive Office of Energy and Environmental Affairs (EEA), and based on collective experience and a review of ocean, coastal and resource management programs from the US and other countries, suggests that nine elements are essential components of the framework for the Massachusetts Ocean Plan and its implementation. While management plans and programs generally have these elements in common, there are a range of options for carrying out each program component. These options were presented to structure and inform the development of the Massachusetts Ocean Plan. For the most part, the range of options represents those that were considered to be appropriate under the Commonwealth’s existing legal and administrative structure and responsive to the requirements of the Massachusetts Ocean Act. However, the general concepts these options represent are likely to be transferable to other jurisdictions (especially in the United States) and can inform future ocean management and planning in Massachusetts. Additionally, options or their core elements can be combined to create additional alternatives within one of the nine planning components

    Are JWST/NIRCam color gradients in the lensed z=2.3 dusty star-forming galaxy El Anzuelo due to central dust attenuation or inside-out galaxy growth?

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    Gradients in the mass-to-light ratio of distant galaxies impede our ability to characterize their size and compactness. The long-wavelength filters of JWSTJWST's NIRCam offer a significant step forward. For galaxies at Cosmic Noon (z2z\sim2), this regime corresponds to the rest-frame near-infrared, which is less biased towards young stars and captures emission from the bulk of a galaxy's stellar population. We present an initial analysis of an extraordinary lensed dusty star-forming galaxy (DSFG) at z=2.3z=2.3 behind the El GordoEl~Gordo cluster (z=0.87z=0.87), named El AnzueloEl~Anzuelo ("The Fishhook") after its partial Einstein-ring morphology. The FUV-NIR SED suggests an intrinsic star formation rate of 812+7 M yr181^{+7}_{-2}~M_\odot~{\rm yr}^{-1} and dust attenuation AV1.6A_V\approx 1.6, in line with other DSFGs on the star-forming main sequence. We develop a parametric lens model to reconstruct the source-plane structure of dust imaged by the Atacama Large Millimeter/submillimeter Array, far-UV to optical light from HubbleHubble, and near-IR imaging with 8 filters of JWSTJWST/NIRCam, as part of the Prime Extragalactic Areas for Reionization and Lensing Science (PEARLS) program. The source-plane half-light radius is remarkably consistent from 14.5 μ\sim 1-4.5~\mum, despite a clear color gradient where the inferred galaxy center is redder than the outskirts. We interpret this to be the result of both a radially-decreasing gradient in attenuation and substantial spatial offsets between UV- and IR-emitting components. A spatial decomposition of the SED reveals modestly suppressed star formation in the inner kiloparsec, which suggests that we are witnessing the early stages of inside-out quenching.Comment: 29 pages, 11 figures, 5 tables. Accepted for publication in Ap
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