2,131 research outputs found

    A cubulation with no factor system

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    The primary method for showing that a given cubulated group is hierarchically hyperbolic is by constructing a factor system on the cube complex. In this paper we show that such a construction is not always possible, namely we construct a cubulated group for which the cube complex does not have a factor system. We also construct a cubulated group for which the induced action on the contact graph is not acylindrical.Comment: 10 pages, 5 figures; v2: Remarks 2.4 and 3.3 added, to appear in Algebraic & Geometric Topolog

    ATRX: a new player in DNA damage repair

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    A key requisite for indefinite growth of cancer cells is the ability to continuously elongate telomeres to circumvent the onset of senescence or apoptosis, this is known as a telomere maintenance mechanism. Most cancers use an enzyme called telomerase, however, in approximately 10 – 15% of cancers this is achieved through the Alternative Lengthening of Telomeres (ALT) mechanism, a Break Induced Replication (BIR) mediated mechanism of telomere copying. ATRX has emerged as the key tumour suppressor in ALT cancers but its loss is insufficient to drive induction of the pathway. Here, we report that depletion of ATRX and/or DAXX in the presence of various genotoxic agents is sufficient to induce ALT. We have additionally showed that these effects occur most strongly when telomere clustering is both exaggerated and prevalent. Moreover, co-deletion of ATRX and SETD2, commonly mutated in high grade gliomas (HGGs), elicits induction of ALT. Mechanistically, SETD2 restricts the accumulation of telomeric R-loops, which, in the absence of ATRX, leads to fork collapse and the loss of telomere sister chromatid cohesion. Cumulatively this provides a substrate for out of register BIR and telomere lengthening

    Splittings of One-Ended Groups with One-Ended Halfspaces and Non-1-Acyclicity at Infinity

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    We introduce the notion of halfspaces associated to a group splitting, and investigate the relationship between the coarse geometry of the halfspaces and the coarse geometry of the group. Roughly speaking, the halfspaces of a group splitting are subgraphs of the Cayley graph obtained by pulling back the halfspaces of the Bass--Serre tree. Our first theorem shows that (under mild conditions) any splitting of a one-ended group can be upgraded to a splitting with one-ended halfspaces. Our second theorem demonstrates that a one-ended group usually has a JSJ splitting with one-ended halfspaces. And our third theorem states that if a one-ended finitely presented group GG admits a splitting with one-ended halfspaces such that some edge stabilizer has more than one end, then H2(G,ZG)≠{0}H^2(G,\mathbb ZG)\ne \{0\}; in particular GG is not simply connected at infinity.Comment: 40 pages, 3 figures; v2: minor changes to the introduction, including the addition of Corollary 1.

    First record of an Odontaspidid shark in Ascension Island waters

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    The occurrence of the poorly understood shark species Odontapsis ferox is reported at an oceanic seamount in the central south Atlantic, within the Exclusive Economic Zone of Ascension Island. The presence of the species at this location is confirmed by the discovery of a tooth embedded in scientific equipment, and footage of at least one animal on autonomous underwater video. The new record of this shark species at this location demonstrates the knowledge gaps which still exist at many remote, oceanic structures and their candidacy for status as important conservation areas.info:eu-repo/semantics/publishedVersio

    Leighton's Theorem: extensions, limitations, and quasitrees

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    Leighton's Theorem states that if there is a tree TT that covers two finite graphs G1G_1 and G2G_2, then there is a finite graph G^\hat G that is covered by TT and covers both G1G_1 and G2G_2. We prove that this result does not extend to regular covers by graphs other than trees. Nor does it extend to non-regular covers by a quasitree, even if the automorphism group of the quasitree contains a uniform lattice. But it does extend to regular coverings by quasitrees.Comment: 29 pages, 10 figures; v2: minor changes made following referee's comments; v3: minor edits to proof of Theorem 1.1 and correction of Example 2.2; to appear in Algebraic & Geometric Topolog

    Separability properties of higher-rank GBS groups

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    A rank nn generalized Baumslag-Solitar group is a group that splits as a finite graph of groups such that all vertex and edge groups are isomorphic to Zn\mathbb{Z}^n. In this paper we classify these groups in terms of their separability properties. Specifically, we determine when they are residually finite, subgroup separable and cyclic subgroup separable

    A Fully Quantum-Mechanical Treatment for Kaolinite

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    Neural network potentials for kaolinite minerals have been fitted to data extracted from density functional theory calculation that were performed using the revPBE + D3 and revPBE + vdW functionals. These potentials have then been used to calculate static and dynamic properties of the mineral. We show that revPBE + vdW is better at reproducing the static properties. However, revPBE + D3 does a better job of reproducing the experimental IR spectrum. We also consider what happens to these properties when a fully-quantum treatment of the nuclei is employed. We find that nuclear quantum effects (NQEs) do not make a substantial difference to the static properties. However, when NQEs are included the dynamic properties of the material change substantially.Comment: 12 pages (10 supplementary), 6 figures (10 supplementary

    PL-001 Home-Based High-Intensity Interval Training Improves Muscle Capillarisation and eNOS/NAD(P)Hoxidase Protein Ratio in Obese Individuals with Elevated Cardiovascular Disease Risk

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    Objective Obesity and inactivity lead to structural and functional muscle microvascular impairments associated with development of chronic disease. This study is the first to investigate the effect of a novel home-based high-intensity interval training (HIT) (Home-HT) intervention in obese individuals with elevated cardiovascular disease (CVD) risk on capillarisation and muscle microvascular eNOS/NAD(P)Hoxidase ratio. Comparisons were made with home-based moderate-intensity continuous training (Home-MICT) and supervised laboratory-based low-volume HIT (Lab-HIT) as control groups. Methods Thirty-two sedentary obese adults (age 36±2 years; BMI 34.3±0.8 kg∙m-2; O2peak24.6±1.0 ml∙kg-1∙min-1) were allocated to 12 weeks of Home-HIT (n=9), Home-MICT (n=13) or Lab-HIT (n=10). Muscle biopsies were taken pre- and post-training to assess specifically in the endothelial layer of muscle arterioles and capillaries the protein content of eNOS, serine1177phosphorylated eNOS, NOX2 and p47phox, and various capillarisation measures using quantitative immunofluorescence microscopy. Results All interventions induced comparable increases in total eNOS content in terminal arterioles and capillaries (P<0.001). There was no change in ser1177phosphorylated eNOS (arterioles P=0.802; capillaries P=0.311), but eNOS ser1177/eNOS ratio significantly decreased following training in arterioles and capillaries (P<0.001). Training decreased NOX2 content (arterioles P<0.001; capillaries P<0.001), but there was no change in p47phoxcontent (arterioles P=0.101; capillaries P=0.345). All measures of capillarisation increased (P<0.05). These adaptations occurred alongside increased O2peak(P<0.001) and whole-body insulin sensitivity (P=0.033). There were no significant differences between training programmes. Conclusions The training effects of Home-HIT on skeletal muscle microvascular adaptations are comparable to those of traditional training methods, with the advantage that Home-HIT reduces barriers to exercise in obese individuals with elevated CVD risk
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