Miracle-dz/UniFAR-FTUs huggingface dataset:
Perspectives on the COVID-19 vaccine uptake: a qualitative study of community members and health workers in Zambia

Objective Since introduction of the programme in April 2021, COVID-19 vaccine uptake has been low at less than 20%. This study explored community members’ and health workers’ perspectives on the COVID-19 vaccine uptake and its influencing factors in Zambia. Study design A qualitative study employing focus group discussions (FGDs) and in-depth interviews (IDIs). Study setting Sixteen primary healthcare facilities selected from Lusaka, Copperbelt, Central and Southern provinces. Participants A total of 32 FGDs comprising local community members and 30 IDIs including health workers, traditional, religious and civic leaders (n=272). FGDs were separated based on age (youth and adults), sex (male and female) and place of residence (urban and rural). Results Both FGD and IDI participants agreed that vaccine uptake was low. Limited knowledge, access to information, myths and misconceptions, negative attitude, low-risk perception and supply in remote areas affected vaccine uptake. Overall, FGD participants expressed limited knowledge about the COVID-19 vaccine compared with health workers. Further, FGD participants from urban sites were more aware about the vaccine than those from rural areas. Health workers perceived the vaccine to be beneficial; the benefits included prevention of infection and limiting the severity of the disease. Moreover, FGD participants from urban sites expressed a negative attitude towards the vaccine. They believed the vaccine conferred no benefits. By contrast, participants from rural communities had mixed views; they needed more information about the vaccine benefits. Participants’ attitude seems to have been influenced by personal or family experience with the COVID-19 disease or vaccination; those who had experienced the disease had a more positive attitude. In contrast, most young people believed they were not at risk of the COVID-19 disease. Misinformation from social media influenced their attitude. Conclusion These results provide starting points for future policies and interventions for increasing COVID-19 vaccine uptake.
Coherent state transforms and the Weyl equation in Clifford analysis

We study a transform, inspired by coherent state transforms, from the Hilbert space of Clifford algebra valued square integrable functions L2(ℝm, dx) ⊗ ℂm to a Hilbert space of solutions of the Weyl equation on ℝm+1 = ℝ × ℝm, namely, to the Hilbert space ℳL2(ℝm+1, dμ) of ℂm-valued monogenic functions on ℝm+1 which are L2 with respect to an appropriate measure dμ. We prove that this transform is a unitary isomorphism of Hilbert spaces and that it is therefore an analog of the Segal-Bargmann transform for Clifford analysis. As a corollary, we obtain an orthonormal basis of monogenic functions on ℝm+1. We also study the case when ℝm is replaced by the m-torus 𝕋m. Quantum mechanically, this extension establishes the unitary equivalence of the Schrodinger representation on M, for M = ℝm and M = 𝕋m, with a representation on the Hilbert space ℳL2(ℝ × M, dμ) of solutions of the Weyl equation on the space-time ℝ × M.
Anatomic anterior talofibular ligament repair augmented with suture-tape for chronic ankle instability with poor quality of remnant ligamentous tissue

Purpose Because modified Broström procedure provides a restoration of mechanical stability by reinforcing attenuated host tissue, poor quality of remnant ligamentous tissue is considered as a prognostic factor for ligament repair surgery. The purpose of this study was to assess the intermediate-term clinical results after anatomic anterior talofibular ligament repair augmented with suture-tape for chronic lateral ankle instability (CLAI) with poor quality of ligament remnants. Methods 64 patients with the insufficient anterior talofibular ligament confirmed by preoperative magnetic resonance image and intraoperative inspection were followed for ≥3 years after the augmented anterior talofibular ligament repair. The clinical outcomes were assessed with the Foot and Ankle Outcome Score, Foot and Ankle Ability Measure. Measurements on stress radiographs were performed to assess the changes of mechanical instability. To identify the changes of functional ankle instability, postural control ability was analysed with single leg stance test. Result Foot and Ankle Outcome Score and Foot and Ankle Ability Measure scores improved from preoperative mean 58.3 and 53.6 points to 90.2 and 88.7 points at final followup, respectively (p < 0.001). Talar tilt angle and anterior talar translation improved from preoperative mean 16.5° and 13.4 mm to 3.2° and 4.4 mm at final followup, respectively (p < .001). Two patients (3.1%) showed a recurrence of instability. Although balance retention time improved from preoperative mean 3.9–6.2 seconds at final followup (p < .001), a significant side-to-side difference was found. Conclusion Anatomic anterior talofibular ligament repair augmented with suture-tape appears to be a useful surgical option for CLAI with poor quality of ligament remnants at intermediate-term followup. Through anatomic repair of attenuated ligaments and suture-tape augmentation, this combined procedure can provide the reliable restoration of mechanical stability and advantages of the anatomic ligament repair. Postural control deficit compared to the uninjured ankle supports a necessity of continuous proprioceptive-oriented rehabilitation.
Status of TWEAK DNA methylation and mRNA expression in systemic lupus erythematosus

Objective Draw upon research into the serum concentration, mRNA expression, and DNA methylation of TNF-like weak inducer of apoptosis (TWEAK) in the peripheral blood of systemic lupus erythematosus patients and healthy controls in an attempt to investigate the epigenetics associated with TWEAK in the pathogenesis of systemic lupus erythematosus (SLE). Methods A total of 178 SLE patients (SLE group) and 131 sex-age matched healthy controls (HC group) were recruited. Enzyme-linked immunosorbent assays (ELISA) was used to detect serum protein concentration of TWEAK. TWEAK mRNA expression was analyzed by Real-time quantitative reverse transcriptase-polymerase chain reaction (RT-PCR). Methylation levels of the promotor of TWEAK were measured using quantitative DNA methylation analysis on the MassARRAY spectrometry. Results Serum TWEAK concentrations were not statistically significant in SLE patients and HCs. Nevertheless, serum TWEAK concentrations were significantly lower in patients with renal involvement when compared to those without it. Serum TWEAK concentrations were reduced in clinically active patients (SLEDAI ≥ 10) compared with clinically stable patients (SLEDAI < 10). It was also significantly associated with SLEDAI. Compared with the HC group, the TWEAK mRNA expression in the SLE group was significantly lower. The global DNA methylation levels of TWEAK in the SLE group were observed to be significantly higher than the HC group. SLE patients with renal involvement, and the clinically active patients had higher TWEAK global methylation as well as exhibited variation in certain CpG island methylation. Furthermore, TWEAK methylation negatively correlated with TWEAK mRNA expression. Conclusion This study suggests that TWEAK DNA methylation is a valuable as a focus for epigenetic studies because of it potentially influencing TWEAK gene expression in SLE patients. Aberrant DNA methylation of TWEAK may be involved in the initiation and development of SLE.
Imaginaries in separably closed valued fields

We show that separably closed valued fields of finite imperfection degree (either with λ ‐functions or commuting Hasse derivations) eliminate imaginaries in the geometric language. We then use this classification of interpretable sets to study stably dominated types in those structures. We show that separably closed valued fields of finite imperfection degree are metastable and that the space of stably dominated types is strict pro‐definable.
An H^1-conforming Virtual Element Method for Darcy equations and Brinkman equations

The focus of the present paper is on developing a Virtual Element Method for Darcy and Brinkman equations. In [15] we presented a family of Virtual Elements for Stokes equations and we defined a new Virtual Element space of velocities such that the associated discrete kernel is pointwise divergence-free. We use a slightly different Virtual Element space having two fundamental properties: the L^2-projection onto P_k is exactly computable on the basis of the degrees of freedom, and the associated discrete kernel is still pointwise divergence-free. The resulting numerical scheme for the Darcy equation has optimal order of convergence and H^1 conforming velocity solution. We can apply the same approach to develop a robust virtual element method for the Brinkman equation that is stable for both the Stokes and Darcy limit case. We provide a rigorous error analysis of the method and several numerical tests.
THE v n -PERIODIC GOODWILLIE TOWER ON WEDGES AND COFIBRES

We introduce general methods to analyse the Goodwillie tower of the identity functor on a wedge X ∨ Y of spaces (using the Hilton–Milnor theorem) and on the coﬁbre cof( f ) of a map f : X → Y . We deduce some consequences for v n -periodic homotopy groups: whereas the Goodwillie tower is ﬁnite and converges in periodic homotopy when evaluated on spheres (Arone–Mahowald), we show that neither of these statements remains true for wedges and Moore spaces
Infinitesimal generators of invertible evolution families

A logarithm representation of operators is introduced as well as a concept of pre-infinitesimal generator. Generators of invertible evolution families are represented by the logarithm representation, and a set of operators represented by the logarithm is shown to be associated with analytic semigroups. Consequently generally-unbounded infinitesimal generators of invertible evolution families are characterized by a convergent power series representation.
Nichols Algebras and Quantum Principal Bundles

We introduce a general framework for associating to a homogeneous quantum principal bundle a Yetter–Drinfeld module structure on the cotangent space of the base calculus. The holomorphic and anti-holomorphic Heckenberger–Kolb calculi of the quantum Grassmannians are then presented in this framework. This allows us to express the calculi in terms of the corresponding Nichols algebras. The extension of this result to all irreducible quantum flag manifolds is then conjectured.
The Method of Pairwise Variations with Tolerances for Linearly Constrained Optimization Problems

We consider a method of pairwise variations for smooth optimization problems, which involve polyhedral constraints. It consists in making steps with respect to the difference of two selected extreme points of the feasible set together with special threshold control and tolerances whose values decrease sequentially. The method is simpler and more flexible than the well-known conditional gradient method, but keeps its useful sparsity properties and is very suitable for large dimensional optimization problems. We establish its convergence under rather mild assumptions. Efficiency of the method is confirmed by its convergence rates and results of computational experiments.
BPS algebras, genus zero and the heterotic Monster

In this note, we expand on some technical issues raised in (Paquette et al 2016 Commun. Number Theory Phys. 10 433–526) by the authors, as well as providing a friendly introduction to and summary of our previous work. We construct a set of heterotic string compactifications to 0 + 1 dimensions intimately related to the Monstrous moonshine module of Frenkel, Lepowsky, and Meurman (and orbifolds thereof). Using this model, we review our physical interpretation of the genus zero property of Monstrous moonshine. Furthermore, we show that the space of (second-quantized) BPS-states forms a module over the Monstrous Lie algebras mg—some of the first and most prominent examples of Generalized Kac–Moody algebras—constructed by Borcherds and Carnahan. In particular, we clarify the structure of the module present in the second-quantized string theory. We also sketch a proof of our methods in the language of vertex operator algebras, for the interested mathematician.
Application of nested multiplex polymerase chain reaction respiratory and pneumonia panels in children with severe community‐acquired pneumonia

Community‐acquired pneumonia (CAP) is a serious clinical concern. A lack of accurate diagnosis could hinder pathogen‐directed therapeutic strategies. To solve this problem, we evaluated clinical application of nested multiplex polymerase chain reaction (PCR) in children with severe CAP. We prospectively enrolled 60 children with severe CAP requiring intensive care between December 2019 and November 2021 at a tertiary medical center. Nested multiplex PCR respiratory panel (RP) and pneumonia panel (PP) were performed on upper and lower respiratory tract specimens. We integrated standard‐of‐care tests and quantitative PCR for validation. The combination of RP, PP, and standard‐of‐care tests could detect at least one pathogen in 98% of cases and the mixed viral‐bacterial detection rate was 65%. The positive percent agreement (PPA), and negative percent agreement (NPA) for RP were 94% and 99%; the PPA and NPA for PP were 89% and 98%. The distribution of pathogens was similar in the upper and lower respiratory tracts, and the DNA or RNA copies of pathogens in the lower respiratory tract were equal to or higher than those in the upper respiratory tract. PP detected bacterial pathogens in 40 (67%) cases, and clinicians tended to increase bacterial diagnosis and escalate antimicrobial therapy for them. RP and PP had satisfactory performance to help pediatricians make pathogenic diagnoses and establish therapy earlier. The pathogens in the upper respiratory tract had predictive diagnostic values for lower respiratory tract infections in children with severe CAP.
NADH dehydrogenases drive inward electron transfer in Shewanella oneidensis MR‐1

Shewanella oneidensis MR‐1 is a promising chassis organism for microbial electrosynthesis because it has a well‐defined biochemical pathway (the Mtr pathway) that can connect extracellular electrodes to respiratory electron carriers inside the cell. We previously found that the Mtr pathway can be used to transfer electrons from a cathode to intracellular electron carriers and drive reduction reactions. In this work, we hypothesized that native NADH dehydrogenases form an essential link between the Mtr pathway and NADH in the cytoplasm. To test this hypothesis, we compared the ability of various mutant strains to accept electrons from a cathode and transfer them to an NADH‐dependent reaction in the cytoplasm, reduction of acetoin to 2,3‐butanediol. We found that deletion of genes encoding NADH dehydrogenases from the genome blocked electron transfer from a cathode to NADH in the cytoplasm, preventing the conversion of acetoin to 2,3‐butanediol. However, electron transfer to fumarate was not blocked by the gene deletions, indicating that NADH dehydrogenase deletion specifically impacted NADH generation and did not cause a general defect in extracellular electron transfer. Proton motive force (PMF) is linked to the function of the NADH dehydrogenases. We added a protonophore to collapse PMF and observed that it blocked inward electron transfer to acetoin but not fumarate. Together these results indicate a link between the Mtr pathway and intracellular NADH. Future work to optimize microbial electrosynthesis in S. oneidensis MR‐1 should focus on optimizing flux through NADH dehydrogenases.
Observations of oscillations in the transition region above sunspots

Observations during two campaigns of the SUMER spectrograph and the EIT imager onboard SoHO were used to analyse oscillations in bright sunspot plumes. We report variations of both intensity and velocity seen in EUV emission lines originating in the sunspot upper chromosphere and the transition region. The wavelet analysis reveals rapidly changing conditions in the emitting volumes. Generally, oscillations in the 5 min range dominate in the chromosphere, while the transition region lines show oscillations at shorter periods (2 to 3 min). A drift of the oscillation period of the Doppler velocity from 5 min to 2.5 min within about 30 min can be explained by a strongly non-stationary behaviour of the upper chromosphere and transition region, probably related to downstream of material within the plume region. Synchronous EIT observations of the lower corona show no intensity oscillations. This hints either at a strong damping or a downward reflection in the upper transition region or lower corona.
LOCALIZATIONS OF THE HEARTS OF COTORSION PAIRS

Abstract In this article, we study localizations of hearts of cotorsion pairs ($\mathcal{U}, \mathcal{V}$) where $\mathcal{U}$ is rigid on an extriangulated category $\mathcal{B}$ . The hearts of such cotorsion pairs are equivalent to the functor categories over the stable category of $\mathcal{U}$ ( $\bmod \underline{\mathcal{U}}$ ). Inspired by Marsh and Palu (Nagoya Math. J.225(2017), 64–99), we consider the mutation (in the sense of Iyama and Yoshino, Invent. Math.172(1) (2008), 117–168) of $\mathcal{U}$ that induces a cotorsion pair ( $\mathcal{U}^{\prime}, \mathcal{V}^{\prime}$ ). Generally speaking, the hearts of ( $\mathcal{U}, \mathcal{V}$ ) and ( $\mathcal{U}^{\prime}, \mathcal{V}^{\prime}$ ) are not equivalent to each other, but we will give a generalized pseudo-Morita equivalence between certain localizations of their hearts.
ENSURE: A General Approach for Unsupervised Training of Deep Image Reconstruction Algorithms

Image reconstruction using deep learning algorithms offers improved reconstruction quality and lower reconstruction time than classical compressed sensing and model-based algorithms. Unfortunately, clean and fully sampled ground-truth data to train the deep networks is often unavailable in several applications, restricting the applicability of the above methods. We introduce a novel metric termed the ENsemble Stein’s Unbiased Risk Estimate (ENSURE) framework, which can be used to train deep image reconstruction algorithms without fully sampled and noise-free images. The proposed framework is the generalization of the classical SURE and GSURE formulation to the setting where the images are sampled by different measurement operators, chosen randomly from a set. We evaluate the expectation of the GSURE loss functions over the sampling patterns to obtain the ENSURE loss function. We show that this loss is an unbiased estimate for the true mean-square error, which offers a better alternative to GSURE, which only offers an unbiased estimate for the projected error. Our experiments show that the networks trained with this loss function can offer reconstructions comparable to the supervised setting. While we demonstrate this framework in the context of MR image recovery, the ENSURE framework is generally applicable to arbitrary inverse problems.
The spt-function of Andrews

The spt-function spt($n$) was introduced by Andrews as the weighted counting of partitions of $n$ with respect to the number of occurrences of the smallest part. In this survey, we summarize recent developments in the study of spt($n$), including congruence properties established by Andrews, Bringmann, Folsom, Garvan, Lovejoy and Ono et al., a constructive proof of the Andrews-Dyson-Rhoades conjecture given by Chen, Ji and Zang, generalizations and variations of the spt-function. We also give an overview of asymptotic formulas of spt($n$) obtained by Ahlgren, Andersen and Rhoades et al. We conclude with some conjectures on inequalities on spt($n$), which are reminiscent of those on $p(n)$ due to DeSalvo and Pak, and Bessenrodt and Ono. Furthermore, we observe that, beyond the log-concavity, $p(n)$ and spt($n$) satisfy higher order inequalities based on polynomials arising in the invariant theory of binary forms. In particular, we conjecture that the higher order Turan inequality $4(a_n^2-a_{n-1}a_{n+1})(a_{n+1}^2-a_{n}a_{n+2})-(a_na_{n+1}-a_{n-1}a_{n+2})^2>0$ holds for $p(n)$ when $n\geq 95$ and for spt($n$) when $n\geq 108$.
The Implementation of Measurement-Based Care in the Context of Telemedicine: Qualitative Study

Background The Measurement Based Care in Mental Health Initiative launched by the Department of Veterans Affairs in 2016 is an example of an evidence-based practice that uses patient-reported outcome measures (PROMs) to improve patient outcomes. The acceptance of measurement-based care (MBC) among Veterans Affairs providers is relatively high. However, there are barriers to MBC for telehealth providers. Health information technologies might afford opportunities to address some of the barriers related to the uptake of MBC. Objective This paper reports on an implementation effort to integrate MBC into mental health care telehealth practice using eHealth solutions. Methods Qualitative data were generated from 22 semistructured interviews with psychiatrists (n=4), psychologists (n=3), social workers (n=3), nurses (n=6), a pharmacist (n=1), and administrative staff (n=5) who provide telemental health care through a community-based outpatient clinic in the rural Midwestern United States. The interviews were conducted during the pilot phase of an implementation initiative to increase the adoption of MBC by revising clinic workflows to integrate the use of eHealth technologies. Data were analyzed using thematic analysis. Results Time burden and workflow issues were the most common barrier to provider adoption of MBC; sharing and reviewing pencil-and-paper measures and results in the same room was no longer possible in novel telehealth workflows necessitated by the COVID-19 pandemic. Providers voiced concerns about how long it would take to collect, adequately score, interpret, share, and document the PROMs during the telehealth visit. Concerns about time might also correspond to a gap in providers’ familiarity with these assessments, greater comfort in assessing symptoms through clinical interviews, and being accustomed to using the assessments as screening tools more so than longitudinal outcome measures. Capacities associated with eHealth technologies may address workflow concerns and promote providers’ understanding and use of the measures as tracking tools. Conclusions The need to use limited appointment time well was a top priority for telemental health providers. eHealth technologies provided operative supports that protect time in appointments by shifting when and how PROMs are collected. Bolstering providers’ familiarity with how to use PROMs in the course of treatment may impact providers’ buy-in by encouraging them to reconsider how sharing and acting on PROMs could be time well spent.
Rank-two Milnor idempotents for the multipullback quantum complex projective plane

The $K_0$-group of the C*-algebra of multipullback quantum complex projective plane is known to be $\mathbb{Z}^3$, with one generator given by the C*-algebra itself, one given by the section module of the noncommutative (dual) tautological line bundle, and one given by the Milnor module associated to a generator of the $K_1$-group of the C*-algebra of Calow-Matthes quantum 3-sphere. Herein we prove that these Milnor modules are isomorphic either to the section module of a noncommutative vector bundle associated to the $SU_q(2)$-prolongation of the Heegaard quantum 5-sphere $S^5_H$ viewed as a $U(1)$-quantum principal bundle, or to a complement of this module in the rank-four free module. Finally, we demonstrate that one of the above Milnor modules always splits into the direct sum of the rank-one free module and a rank-one non-free projective module that is \emph{not} associated with $S^5_H$.