An experimental study of amphibole stability in low-pressure granitic magmas and a revised Al-in-hornblende geobarometer

We report new experimental data on the composition of magmatic amphiboles synthesised from a variety of granite (sensu lato) bulk compositions at near-solidus temperatures and pressures of 0.8–10 kbar. The total aluminium content (Al$^\text{tot}$) of the synthetic calcic amphiboles varies systematically with pressure ($\small \textit{P}$), although the relationship is nonlinear at low pressures (<2.5 kbar). At higher pressures, the relationship resembles that of other experimental studies, which suggests of a general relationship between Al$^\text{tot}$ and P that is relatively insensitive to bulk composition. We have developed a new Al-in-hornblende geobarometer that is applicable to granitic rocks with the low-variance mineral assemblage: amphibole + plagioclase (An$_{15–80}$) + biotite + quartz + alkali feldspar + ilmenite/ titanite + magnetite + apatite. Amphibole analyses should be taken from the rims of grains, in contact with plagioclase and in apparent textural equilibrium with the rest of the mineral assemblage at temperatures close to the haplogranite solidus (725 ± 75 °C), as determined from amphibole–plagioclase thermometry. Mean amphibole rim compositions that meet these criteria can then be used to calculate $\small \textit{P}$ (in kbar) from Al$^\text{tot}$ (in atoms per formula unit, apfu) according to the expression: $P$ (kbar) = 0.5 + 0.331(8) × Al$^\text{tot}$ + 0.995(4) × (Al$^\text{tot}$)$^2$ This expression recovers equilibration pressures of our calibrant dataset, comprising both new and published experimental and natural data, to within ±16 % relative uncertainty. An uncertainty of 10 % relative for a typical Al$^\text{tot}$ value of 1.5 apfu translates to an uncertainty in pressure estimate of 0.5 kbar, or 15 % relative. Thus the accuracy of the barometer expression is comparable to the precision with which near-solidus amphibole rim composition can be characterised.BHP Billiton, Royal Society (Wolfson Research Merit Award), California Institute of Technology (Moore Scholarship

On Convergence and Threshold Properties of Discrete Lotka-Volterra Population Protocols

In this work we focus on a natural class of population protocols whose dynamics are modelled by the discrete version of Lotka-Volterra equations. In such protocols, when an agent $a$ of type (species) $i$ interacts with an agent $b$ of type (species) $j$ with $a$ as the initiator, then $b$'s type becomes $i$ with probability $P\_{ij}$. In such an interaction, we think of $a$ as the predator, $b$ as the prey, and the type of the prey is either converted to that of the predator or stays as is. Such protocols capture the dynamics of some opinion spreading models and generalize the well-known Rock-Paper-Scissors discrete dynamics. We consider the pairwise interactions among agents that are scheduled uniformly at random. We start by considering the convergence time and show that any Lotka-Volterra-type protocol on an $n$-agent population converges to some absorbing state in time polynomial in $n$, w.h.p., when any pair of agents is allowed to interact. By contrast, when the interaction graph is a star, even the Rock-Paper-Scissors protocol requires exponential time to converge. We then study threshold effects exhibited by Lotka-Volterra-type protocols with 3 and more species under interactions between any pair of agents. We start by presenting a simple 4-type protocol in which the probability difference of reaching the two possible absorbing states is strongly amplified by the ratio of the initial populations of the two other types, which are transient, but "control" convergence. We then prove that the Rock-Paper-Scissors protocol reaches each of its three possible absorbing states with almost equal probability, starting from any configuration satisfying some sub-linear lower bound on the initial size of each species. That is, Rock-Paper-Scissors is a realization of a "coin-flip consensus" in a distributed system. Some of our techniques may be of independent value

Barriers to Screening for Diabetic Retinopathy: A Scoping Review

Purpose/Background More than 34 million people in the United States have diabetes. Diabetic retinopathy (DR) is a major complication of diabetes and a leading cause of vision loss. Risk factors for diabetic retinopathy include Type 1 and Type 2 Diabetes, hypertension, smoking, and being African American or Hispanic/Latino. This scoping review seeks to analyze the current research on ways to increase vision screenings, thus reducing cases of diabetic retinopathy in adults. Methods Between September 2020 and November 2021, a search was conducted using PubMed, EBSCOhost, Medline, and CINAHL to identify articles using keywords such as diabetic retinopathy and ophthalmology. This extensive search led our group to twenty articles from different levels of evidence, which after undergoing rapid critical appraisal (RCA) left us with fifteen to be included in this scoping review. Our goal was to understand the barriers to receiving annual screening and strategies to enhance compliance with ophthalmology. Results The articles in our scoping review include systematic reviews, randomized control trials, and case-control studies. From the articles, we discovered barriers to receiving annual exams include cost, insurance, and education. We concluded that patient education along with annual referrals to ophthalmology as prevention for diabetic retinopathy is essential for reducing vision loss. Implications for Nursing Practice Based on our scoping review, we understand that multiple barriers exist that complicate compliance with annual vision screenings. Primary care providers play an essential role in providing patient education and referral to ophthalmology to decrease the prevalence of diabetic retinopathy. More research is needed on the effectiveness of interventions such as educational pamphlets in enhancing screening rates

Representations of an integer by some quaternary and octonary quadratic forms

In this paper we consider certain quaternary quadratic forms and octonary quadratic forms and by using the theory of modular forms, we find formulae for the number of representations of a positive integer by these quadratic forms.Comment: 20 pages, 4 tables. arXiv admin note: text overlap with arXiv:1607.0380

Recent advances in electronic structure theory and their influence on the accuracy of ab initio potential energy surfaces

Recent advances in electronic structure theory and the availability of high speed vector processors have substantially increased the accuracy of ab initio potential energy surfaces. The recently developed atomic natural orbital approach for basis set contraction has reduced both the basis set incompleteness and superposition errors in molecular calculations. Furthermore, full CI calculations can often be used to calibrate a CASSCF/MRCI approach that quantitatively accounts for the valence correlation energy. These computational advances also provide a vehicle for systematically improving the calculations and for estimating the residual error in the calculations. Calculations on selected diatomic and triatomic systems will be used to illustrate the accuracy that currently can be achieved for molecular systems. In particular, the F+H2 yields HF+H potential energy hypersurface is used to illustrate the impact of these computational advances on the calculation of potential energy surfaces

Kank Is an EB1 Interacting Protein that Localises to Muscle-Tendon Attachment Sites in Drosophila

Little is known about how microtubules are regulated in different cell types during development. EB1 plays a central role in the regulation of microtubule plus ends. It directly binds to microtubule plus ends and recruits proteins which regulate microtubule dynamics and behaviour. We report the identification of Kank, the sole Drosophila orthologue of human Kank proteins, as an EB1 interactor that predominantly localises to embryonic attachment sites between muscle and tendon cells. Human Kank1 was identified as a tumour suppressor and has documented roles in actin regulation and cell polarity in cultured mammalian cells. We found that Drosophila Kank binds EB1 directly and this interaction is essential for Kank localisation to microtubule plus ends in cultured cells. Kank protein is expressed throughout fly development and increases during embryogenesis. In late embryos, it accumulates to sites of attachment between muscle and epidermal cells. A kank deletion mutant was generated. We found that the mutant is viable and fertile without noticeable defects. Further analysis showed that Kank is dispensable for muscle function in larvae. This is in sharp contrast to C. elegans in which the Kank orthologue VAB-19 is required for development by stabilising attachment structures between muscle and epidermal cells

GPs’ Interactional Styles in Consultations with Dutch and Ethnic Minority Patients

The aim of this study was to examine interactional styles of general practitioners (GPs) in consultations with Dutch patients as compared to ethnic minority patients, from the perspective of level of mutual understanding between patient and GP. Data of 103 transcripts of video-registered medical interviews were analyzed to assess GPs’ communication styles in terms of involvement, detachment, shared decision-making and patient-centeredness. Surveys were used to collect data on patients’ characteristics and mutual understanding. Results show that overall, GPs communicate less adequately with ethnic minority patients than with Dutch patients; they involve them less in decision-making and check their understanding of what has been discussed less often. Intercultural consultations are thus markedly distinguishable from intracultural consultations by a lack of adequate communicative behavior by GPs. As every patient has a moral and legal right to make informed decisions, it is concluded that GPs should check more often whether their ethnic minority patients have understood what has been said during the medical consultation

An extracellular steric seeding mechanism for Eph-ephrin signaling platform assembly

Erythropoetin-producing hepatoma (Eph) receptors are cell-surface protein tyrosine kinases mediating cell-cell communication. Upon activation, they form signaling clusters. We report crystal structures of the full ectodomain of human EphA2 (eEphA2) both alone and in complex with the receptor-binding domain of the ligand ephrinA5 (ephrinA5 RBD). Unliganded eEphA2 forms linear arrays of staggered parallel receptors involving two patches of residues conserved across A-class Ephs. eEphA2-ephrinA5 RBD forms a more elaborate assembly, whose interfaces include the same conserved regions on eEphA2, but rearranged to accommodate ephrinA5 RBD. Cell-surface expression of mutant EphA2s showed that these interfaces are critical for localization at cell-cell contacts and activation-dependent degradation. Our results suggest a 'nucleation' mechanism whereby a limited number of ligand-receptor interactions 'seed' an arrangement of receptors which can propagate into extended signaling arrays