40 research outputs found

    Analytical nuclear gradients for the range-separated many-body dispersion model of noncovalent interactions

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    An accurate treatment of the long-range electron correlation energy, including van der Waals (vdW) or dispersion interactions, is essential for describing the structure, dynamics, and function of a wide variety of systems. Among the most accurate models for including dispersion into density functional theory (DFT) is the range-separated many-body dispersion (MBD) method [A. Ambrosetti et al., J. Chem. Phys., 2014, 140, 18A508], in which the correlation energy is modeled at short-range by a semi-local density functional and at long-range by a model system of coupled quantum harmonic oscillators. In this work, we develop analytical gradients of the MBD energy with respect to nuclear coordinates, including all implicit coordinate dependencies arising from the partitioning of the charge density into Hirshfeld effective volumes. To demonstrate the efficiency and accuracy of these MBD gradients for geometry optimizations of systems with intermolecular and intramolecular interactions, we optimized conformers of the benzene dimer and isolated small peptides with aromatic side-chains. We find excellent agreement with the wavefunction theory reference geometries of these systems (at a fraction of the computational cost) and find that MBD consistently outperforms the popular TS and D3(BJ) dispersion corrections. To demonstrate the performance of the MBD model on a larger system with supramolecular interactions, we optimized the C60@C60H28 buckyball catcher host–guest complex. In our analysis, we also find that neglecting the implicit nuclear coordinate dependence arising from the charge density partitioning, as has been done in prior numerical treatments, leads to an unacceptable error in the MBD forces, with relative errors of ∌20% (on average) that can extend well beyond 100%.Chemistry and Chemical Biolog

    Necrosis correlates with high vascular density and focal macrophage infiltration in invasive carcinoma of the breast

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    Necrosis is a common feature of invasive carcinoma of the breast and is caused by chronic ischaemia leading to infarction. Although necrosis was previously assumed to be due to a generally poor blood supply in the tumour, in this study we show that it is present in tumours with focal areas of high vascular density situated away from the actual sites of necrosis. This may account, in part, for the previous observation that necrosis is linked to poor prognosis in this disease. Highly angiogenic tumours often display blood vessel shunting from one tumour area to another, which further exacerbates ischaemia and the formation of tumour necrosis. We have recently demonstrated that high focal microphage infiltration into breast tumours is significantly associated with increased tumour angiogenesis and poor prognosis and that the macrophages accumulate in poorly vascularized, hypoxic areas within breast tumours. In order to investigate the interactions of macrophages with chronic ischaemia (as reflected by the presence of necrosis) and angiogenesis in breast tumours, we quantified the levels of these three biological parameters in a series of 109 consecutive invasive breast carcinomas. We found that the degree of tumour necrosis was correlated with both microphage infiltration (Mann–Whitney U, P-value = 0.0009; chi-square, P-value = 0.01) and angiogenesis (Mann–Whitney U P-value = 0.0008, chi square P-value = 0.03). It was also observed that necrosis was a feature of tumours possessing an aggressive phenotype, i.e. high tumour grade (chi-square, P-value < 0.001), larger size (Mann–Whitney U, P-value = 0.003) and low oestrogen receptor status (Mann–Whitney U, P-value = 0.008; chi-square, P-value < 0.008). We suggest, therefore, that aggressive tumours rapidly outgrow their vascular supply in certain areas, leading to areas of prolonged hypoxia within the tumour and, subsequently, to necrosis. This, in turn, may attract macrophages into the tumour, which then contribute to the angiogenic process, giving rise to an association between high levels of angiogenesis and extensive necrosis. © 1999 Cancer Research Campaig

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    Upbringing, formative experience, and their effect in comedy performance Members of improvisational comedy groups at the University of Illinois campus are serious about their craft. Every week, the (respectively) short-form and long-form improvisational groups Spicy Clamato and DeBono, perform at the Courtyard CafĂ© in the Union for free. They also hold weekly or bi-weekly practices to work on improv methods and techniques to hone their skill on-stage. Off-stage, most of the members of these groups are close-knit, and seem to have many common interests, especially in the field of comedy preference and the possibility of performing comedy in their post-collegiate life. Through the examination of life histories through one-on-one interviews with members of improv groups on campus, and through participant observation of members of improv groups in on-stage and off-stage settings, I seek to analyze how upbringing and formative comedy experience affect an individual’s comedy preference, performance, and aspirations for the pursuit of comedy after college
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