Do societies with more extensive welfare states also perform better environmentally? Surprisingly, the empirical evidence for this relationship remains inconclusive. We focus on CO2 emissions in lower-income countries and argue that considering state capacity as a moderator helps achieving greater theoretical and empirical clarity in understanding when the welfare state – climate change mitigation relationship. We hypothesize that lower-income societies with more developed welfare states exhibit lower carbon emissions when they also have more state capacity. The underlying mechanism centers on the ability of the state to compensate losers from policy change and its enforcement power required for policy implementation. Using data on CO2 emissions, social protection, and labor market regulations, as well as state capacity in 66 lower-income countries since 2005, we find that carbon emissions tend to be lower in countries characterized both by a welfare state focused on reducing socio-economic inequality and high state capacity.

The Accelerating COVID-19 Therapeutic Interventions and Vaccines (ACTIV) Cross-Trial Statistics Group gathered lessons learned from statisticians responsible for the design and analysis of the 11 ACTIV therapeutic master protocols to inform contemporary trial design as well as preparation for a future pandemic. The ACTIV master protocols were designed to rapidly assess what treatments might save lives, keep people out of the hospital, and help them feel better faster. Study teams initially worked without knowledge of the natural history of disease and thus without key information for design decisions. Moreover, the science of platform trial design was in its infancy. Here, we discuss the statistical design choices made and the adaptations forced by the changing pandemic context. Lessons around critical aspects of trial design are summarized, and recommendations are made for the organization of master protocols in the future.

Bromide-containing impurities were found to decrease the thermal stability of quaternary alkyl ammonium-modified layered silicates. Improved purification procedures completely removed bromide and led to a 20°C to >100°C increase in organic modified layered silicate thermal stability. Using mass spectrometry and thermal and electrochemical analysis, N,N-dimethyl-N,N-dioctadecyl quaternary ammonium-modified montmorillonite and fluorinated synthetic mica were found to degrade primarily through elimination and nucleophilic attack by these anions. The nature of residual bromides was identified and quantified, and the efficiency of removing these anions was found to be solvent dependent; sequential extraction, first ethanol then tetrahydrofuran, gave the best results. This exhaustive extraction method represents a viable alternative to the use of expensive, more thermally stable oniumion treatments for layered silicates.

In July 2021, Public Health Wales received two notifications of salmonella gastroenteritis. Both cases has attended the same barbecue to celebrate Eid al–Adha, two days earlier. Additional cases attending the same barbecue were found and an outbreak investigation was initiated. The barbecue was attended by a North African community’s social network. On same day, smaller lunches were held in three homes in the social network. Many people attended both a lunch and the barbecue. Cases were defined as someone with an epidemiological link to the barbecue and/or lunches with diarrhoea and/or vomiting with date of onset following these events. We undertook a cohort study of 36 people attending the barbecue and/or lunch, and a nested case-control study using Firth logistic regression. A communication campaign, sensitive towards different cultural practices, was developed in collaboration with the affected community. Consumption of a traditional raw liver dish, ‘marrara’, at the barbecue was the likely vehicle for infection (Firth logistic regression, aOR: 49.99, 95%CI 1.71–1461.54, p = 0.02). Meat and offal came from two local butchers (same supplier) and samples yielded identical whole genome sequences as cases. Future outbreak investigations should be relevant to the community affected by considering dishes beyond those found in routine questionnaires.

Displacement ventilation, where cool external air enters a room through low-level vents and warmer air leaves through high-level vents, is characterised by vertical gradients in pressure arising from the warmer indoor temperatures. Models usually assume that horizontal variations of temperature difference are small in comparison and are, therefore, unimportant. Small-scale laboratory experiments and computational fluid dynamics were used to examine these flows, driven by a uniformly heated floor. These experiments and simulations show that the horizontal variations of temperature difference can be neglected for predictions of the bulk ventilation rate; however, they also evidence that these horizontal variations can be significant and play a critical role in establishing the pattern of flow within the room – this renders the horizontal position of the low- and high-level vents (relative to one another) important. We consider two cases: single-ended (where inlet and outlet are at the same end of the room) and opposite-ended. In both cases the ventilation flow rate is the same. However, in the opposite-ended case a dead zone is established in the upper part of the room which results in significant horizontal variations. We consider the formation of this dead zone by examining the streamline patterns and the age of air within the room. We discuss the implications for occupant exposure to pollutants and airborne disease.

We investigated risk factors associated with COVID-19 by conducting a retrospective, frequency-matched case-control study, with three sampling periods (August–October 2020). We compared cases completing routine contact tracing to asymptomatic population controls. Multivariable analyses estimated adjusted odds ratios (aORs) for non-household community settings. Meta-analyses using random effects provided pooled odds ratios (pORs). Working in healthcare (pOR 2.87; aORs 2.72, 2.81, 3.08, for study periods 1–3 respectively), social care (pOR 4.15; aORs 2.46, 5.06, 5.41, for study periods 1–3 respectively) or hospitality (pOR 2.36; aORs 2.01, 2.54, 2.63, for study periods 1–3 respectively) were associated with increased odds of being a COVID-19 case. Additionally, working in bars, pubs and restaurants, warehouse settings, construction, educational settings were significantly associated. While definitively determining where transmission occurs is impossible, we provide evidence that in certain sectors, the impact of mitigation measures may only be partial and reinforcement of measures should be considered in these settings.

This study documents the contexts of platform pipe creation, distribution, and disposition at Illinois Havana Hopewell Tradition (50 BC to AD 200–250) sites to identify regional variation in Hopewell ceremonialism and exchange. We observe that the large deposits of stone pipes buried during communal rituals in the Scioto Valley and the continued influence of the Hopewell Sphere of Interaction have skewed archaeological interpretation. Aside from the several large deposits, pipes are limited in the Scioto Tradition and seldom found in habitation areas. In Illinois, pipe fabrication debris commonly occurs in habitation areas along with numerous examples of pipe repair and maintenance. Local pipestones—often from northern Illinois Sterling deposits—predominate, and exotic imported pipestones are unusual. Pipes are rare inclusions with individual burials as indicators of status, spiritual prowess, achievement, or group membership. The high value placed on pipes as communal sacra in Ohio and their value in Illinois as items of personal influence parallels their common occurrence in Illinois and their unique context in Ohio Hopewell. This study of the contexts of pipe manufacture and deposition reinforces current discussions of such artifact assemblages as important in documenting local variations in political, social, and religious mortuary ceremonialism across the “Hopewellian sphere.”

North-western Arabia is marked by thousands of prehistoric stone structures. Of these, the monumental, rectilinear type known as mustatils has received only limited attention. Recent fieldwork in AlUla and Khaybar Counties, Saudi Arabia, demonstrates that these monuments are architecturally more complex than previously supposed, featuring chambers, entranceways and orthostats. These structures can now be interpreted as ritual installations dating back to the late sixth millennium BC, with recent excavations revealing the earliest evidence for a cattle cult in the Arabian Peninsula. As such, mustatils are amongst the earliest stone monuments in Arabia and globally one of the oldest monumental building traditions yet identified.

Since the commercialization of herbicide-resistant (HR) crops, primarily glyphosate-resistant crops, their adoption has increased rapidly. Multiple herbicide resistance traits in crops such as canola (Brassica napus L.), corn (Zea mays L.), cotton (Gossypium hirsutum L.), and soybean [Glycine max (L.) Merr.] have become available in recent years, and management of their volunteers needs attention to prevent interference and yield loss in rotational crops. The objectives of this review were to summarize HR crop traits in barley (Hordeum vulgare L.), canola, corn, cotton, rice (Oryza sativa L.), soybean, sugarbeet (Beta vulgaris L.), and wheat (Triticum aestivum L.); assess their potential for volunteerism; and review existing literature on the interference of HR crop volunteers, yield loss, and their management in rotational crops. HR crop volunteers are problem weeds in agronomic cropping systems, and the impact of volunteerism depends on several factors, such as crop grown in rotation, the density of volunteers, management practices, and microclimate. Interference of imidazolinone-resistant (IR) barley or wheat volunteers can be a problem in rotational crops, particularly when IR crops such as canola or wheat are grown. HR canola volunteers are abundant in the Northern Great Plains due to high fecundity, seed loss before or during harvest, and secondary seed dormancy, and they can interfere in crops grown in rotation such as flax (Linum usitatissimum L.), field peas (Pisum sativum L.), and soybean. HR corn volunteers are competitive in crops grown in rotation such as corn, cotton, soybean, and sugarbeet, with yield loss depending on the density of HR corn volunteers. Volunteers of HR cotton, rice, soybean, and sugarbeet are not major concerns and can be controlled with existing herbicides. Herbicide options would be limited if the crop volunteers are multiple HR; therefore, recording the cultivar planted the previous year and selecting the appropriate herbicide are important. The increasing use of 2,4-D, dicamba, glufosinate, and glyphosate in North American cropping systems requires research on herbicide interactions and alternative herbicides or methods for controlling multiple HR crop volunteers.

The finite-amplitude space–time mean flows that are precessionally forced in rotating finite circular cylinders are examined. The findings show that, in addition to conventional Reynolds-stress-type source terms for streaming in oscillatory forced flows, a set of Coriolis-type source terms due the background rotation also contribute. These terms result from the interaction between the equatorial component of the total rotation vector and the overturning flow that is forced by the precession, both of which have azimuthal wavenumbers $m={\pm }1$. The interaction is particular to precessing flows and does not exist in rotating flows driven by libration ($m=0$ forcing) or tides ($m={\pm }2$ forcing). By examining typical example flows in the quasi-linear weakly forced streaming regime, we are able to consider the contributions from the Reynolds-stress terms and the equatorial-Coriolis terms separately, and find that they are of similar magnitude. In the cases examined, the azimuthal component of streaming flow driven by the equatorial-Coriolis terms is everywhere retrograde, whereas that driven by Reynolds stresses may have both retrograde and prograde regions, but the total streaming flows are everywhere retrograde. Even when the forcing frequency is larger than twice the background rotation rate, we find that there is a streaming flow driven by both the Reynolds-stress and the equatorial-Coriolis terms. For cases forced at precession frequencies in near resonance with the eigenfrequencies of the intrinsic inertial modes of the linear inviscid unforced rotating cylinder flow, we quantify theoretically how the amplitude of streaming flow scales with respect to variations in Reynolds number, cylinder tilt angle and aspect ratio, and compare these with numerical simulations.

Breast cancer treatment and prognosis is informed by biomarker expression. Expression of Oestrogen Receptor-alpha (ERα) for example influences whether the patient receives endocrine- or chemo-therapy. Nutritional status is a modifier of disease free survival and elevated circulating cholesterol associates with increased risk of relapse. Cholesterol hydroxylation produces ‘oxysterols’ which are selective Liver X Receptor alpha (LXRα) modulators and ERα agonists. In ER-positive breast cancer, oxysterols induce proliferation and resistance to endocrine therapy, whilst in ER-negative disease oxysterols are anti-proliferative and pro-metastatic suggesting that there are breast cancer subtype specific differences in the genomic targets of the oxysterol-LXR pathway. This study explored the regulation of LXRα signalling in ER-positive and ER-negative breast cancer, and how ligand, receptor and co-factors combine to regulate LXRα target gene expression in different breast cancer types.

In vitro, MDA.MB.468 (ER-negative) cells were more responsive than MCF-7 (ER-positive) cells to synthetic LXRα agonists (T0901317, GW3965) and six oxysterols (22-hydroxycholesterol [22-OHC], 24-OHC, 25-OHC, 27-OHC, 7-ketocholesterol and 24,25-epoxycholesterol), as measured by MTT, LXR-luciferase reporter, and qPCR of canonical targets ABCA1 and APOE (Students t-tests: p < 0.01). Responses to the antagonist GSK2033 was comparable across cell lines. In vivo, LXRa expression correlated with 48/146 target genes in ER-negative (n = 81), but with just 9/146 in ER-positive tumours (n = 234) (Fischer exact test: p < 0.0001) indicating greater LXRa-mediated transcription of target genes in the aggressive subtype. This was not explained by ligand concentration, as we developed a novel fast oxysterol detection system and found no difference in concentration of 22-OHC, 24-OHC, 25-OHC or 27-OHC between ER-negative (n = 11) and ER-positive (n = 11) primary tumours obtained from the Leeds Breast Tissue Bank. However, we did observe that expression of LXRa and 2/7 of its co-activators (SRC, TRRAP) were higher in ER-negative relative to ER-positive disease (using TCGA data from cBioPortal) (Mann-Whitney U test: p < 0.001), and that expression of all LXRa co-repressors were lowest in ER-negative disease (NCOR1, NCOR2, LCOR: Mann-Whitney U test: p < 0.001 for all). siRNA knock-down of NCOR1 and NCOR2 resulted in MCF-7 cells that mimicked the response of MDA.MB.468 cells to oxysterols (as measured by LXR-luciferase and qPCR assay).

These data indicate that despite the anti-proliferative actions of oxysterol-LXRa signalling, there is a, yet to be identified, selective advantage for retention and enhancement of this pathway in ER-negative breast cancer. Dietary routes to selective LXRa modulation (such as plant sterols) may provide patient-led routes to improving ER-negative survival rates.

Toeplitz conjectured that any simple planar loop inscribes a square. Here we prove variants of Toeplitz’s square peg problem. We prove Hadwiger’s 1971 conjecture that any simple loop in $3$-space inscribes a parallelogram. We show that any simple planar loop inscribes sufficiently many rectangles that their vertices are dense in the loop. If the loop is rectifiable, there is a rectangle that cuts the loop into four pieces which can be rearranged to form two loops of equal length. (The previous two results are independently due to Schwartz.) A rectifiable loop in $d$-space can be cut into $(r-1)(d+1)+1$ pieces that can be rearranged by translations to form $r$ loops of equal length. We relate our results to fair divisions of necklaces in the sense of Alon and to Tverberg-type results. This provides a new approach and a common framework to obtain inscribability results for the class of all continuous curves.