The experience of children with disabilities and their families during the COVID-19 pandemic; what lessons can we learn?

COVID-19 has had serious, negative impacts on children’s health and development. But the impacts have not been felt equally; disabled children and their families have been hit particularly hard. In this paper we summarise UK legislation to limit the spread of the virus and describe how services to disabled children changed as a result. We discuss the long-term deleterious impacts of changes in service provision on the health and wellbeing of disabled children and the parent carers supporting them. We close with lessons learned for resetting services to support the ongoing recovery of children and their families and recommendations for delivering services better in future emergencies to ensure that disabled children’s health and wellbeing is maintained

Regularity of higher codimension area minimizing integral currents

This lecture notes are an expanded version of the course given at the ERC-School on Geometric Measure Theory and Real Analysis, held in Pisa, September 30th - October 30th 2013. The lectures aim to explain the main steps of a new proof of the partial regularity of area minimizing integer rectifiable currents in higher codimension, due originally to F. Almgren, which is contained in a series of papers in collaboration with C. De Lellis (University of Zurich).Comment: This text will appear in "Geometric Measure Theory and Real Analysis", pp. 131--192, Proceedings of the ERC school in Pisa (2013), L. Ambrosio Ed., Edizioni SNS (CRM Series

Policy and practice recommendations for services for disabled children during emergencies: Learning from COVID-19

This is the final version. Available on open access from Wiley via the DOI in this recordData availability statement: Data will be available via an open access repository: https://data.ncl.ac.uk/Aim To seek consensus on recommendations for the delivery of services to disabled children in England during future emergencies. Method Candidate recommendations were drafted based on our related mapping review and qualitative research related to experiences during the COVID-19 pandemic. Iterative workshops with professionals and parent carers helped to refine the recommendations. A Delphi survey, rating the importance of each recommendation, was conducted with (1) parent carers of disabled children, (2) disabled young people aged 8 to 19 years, and (3) health, education, and social care professionals. A consensus meeting was convened online to discuss the findings and ratify the recommendations. Results Twenty-eight recommendations were included in the Delphi survey. There were 141 participants in round 1 and 91 in round 2. Seven recommendations reached the agreed consensus criteria for being critical across all stakeholder groups, while 21 recommendations did not reach consensus across all groups. Fourteen participants ratified 23 recommendations, which when aggregated and refined further produced our final 19 recommendations. Interpretation Reductions in services for disabled children and their families during the COVID-19 pandemic had serious and lasting consequences. This study enabled parent carers, disabled young people, and health, education, and social care professionals to agree recommendations on services for disabled children during future emergencies.National Institute for Health and Care Research (NIHR

Climate Variability and Ross River Virus Transmission in Townsville Region, Australia 1985 to 1996

Background How climate variability affects the transmission of infectious diseases at a regional level remains unclear. In this paper, we assessed the impact of climate variation on the Ross River virus (RRv) transmission in the Townsville region, Queensland, north-east Australia. Methods Population-based information was obtained on monthly variations in RRv cases, climatic factors, sea level, and population growth between 1985 and 1996. Cross-correlations were computed for a series of associations between climate variables (rainfall, maximum temperature, minimum temperature, relative humidity and high tide) and the monthly incidence of RRv disease over a range of time lags. The impact of climate variability on RRv transmission was assessed using the seasonal auto-regressive integrated moving average (SARIMA) model. Results There were significant correlations of the monthly incidence of RRv to rainfall, maximum temperature, minimum temperature and relative humidity, all at a lag of 2 months, and high tide in the current month. The results of SARIMA models show that monthly average rainfall (β=0.0012, p=0.04) and high tide (β=0.0262, p=0.01) were significantly associated with RRv transmission, although temperature and relative humidity did not seem to have played an important role in the Townsville region. Conclusions Rainfall, and high tide were likely to be key determinants of RRv transmission in the Townsville region

ff-minimal surface and manifold with positive mm-Bakry-\'{E}mery Ricci curvature

In this paper, we first prove a compactness theorem for the space of closed embedded $f$-minimal surfaces of fixed topology in a closed three-manifold with positive Bakry-\'{E}mery Ricci curvature. Then we give a Lichnerowicz type lower bound of the first eigenvalue of the $f$-Laplacian on compact manifold with positive $m$-Bakry-\'{E}mery Ricci curvature, and prove that the lower bound is achieved only if the manifold is isometric to the $n$-shpere, or the $n$-dimensional hemisphere. Finally, for compact manifold with positive $m$-Bakry-\'{E}mery Ricci curvature and $f$-mean convex boundary, we prove an upper bound for the distance function to the boundary, and the upper bound is achieved if only if the manifold is isometric to an Euclidean ball.Comment: 15 page

On Vanishing Theorems For Vector Bundle Valued p-Forms And Their Applications

Let $F: [0, \infty) \to [0, \infty)$ be a strictly increasing $C^2$ function with $F(0)=0$. We unify the concepts of $F$-harmonic maps, minimal hypersurfaces, maximal spacelike hypersurfaces, and Yang-Mills Fields, and introduce $F$-Yang-Mills fields, $F$-degree, $F$-lower degree, and generalized Yang-Mills-Born-Infeld fields (with the plus sign or with the minus sign) on manifolds. When $F(t)=t, \frac 1p(2t)^{\frac p2}, \sqrt{1+2t} -1,$ and $1-\sqrt{1-2t},$ the $F$-Yang-Mills field becomes an ordinary Yang-Mills field, $p$-Yang-Mills field, a generalized Yang-Mills-Born-Infeld field with the plus sign, and a generalized Yang-Mills-Born-Infeld field with the minus sign on a manifold respectively. We also introduce the $E_{F,g}-$energy functional (resp. $F$-Yang-Mills functional) and derive the first variational formula of the $E_{F,g}-$energy functional (resp. $F$-Yang-Mills functional) with applications. In a more general frame, we use a unified method to study the stress-energy tensors that arise from calculating the rate of change of various functionals when the metric of the domain or base manifold is changed. These stress-energy tensors, linked to $F$-conservation laws yield monotonicity formulae. A "macroscopic" version of these monotonicity inequalities enables us to derive some Liouville type results and vanishing theorems for $p-$forms with values in vector bundles, and to investigate constant Dirichlet boundary value problems for 1-forms. In particular, we obtain Liouville theorems for $F-$harmonic maps (e.g. $p$-harmonic maps), and $F-$Yang-Mills fields (e.g. generalized Yang-Mills-Born-Infeld fields on manifolds). We also obtain generalized Chern type results for constant mean curvature type equations for $p-$forms on $\Bbb{R}^m$ and on manifolds $M$ with the global doubling property by a different approach. The case $p=0$ and $M=\mathbb{R}^m$ is due to Chern.Comment: 1. This is a revised version with several new sections and an appendix that will appear in Communications in Mathematical Physics. 2. A "microscopic" approach to some of these monotonicity formulae leads to celebrated blow-up techniques and regularity theory in geometric measure theory. 3. Our unique solution of the Dirichlet problems generalizes the work of Karcher and Wood on harmonic map

Detection of brown dwarf-like objects in the core of NGC3603

We use near-infrared data obtained with the Wide Field Camera 3 (WFC3) on the Hubble Space Telescope to identify objects having the colors of brown dwarfs (BDs) in the field of the massive galactic cluster NGC 3603. These are identified through use of a combination of narrow and medium band filters spanning the J and H bands, and which are particularly sensitive to the presence of the 1.3-1.5{\mu}m H2O molecular band - unique to BDs. We provide a calibration of the relationship between effective temperature and color for both field stars and for BDs. This photometric method provides effective temperatures for BDs to an accuracy of {\pm}350K relative to spectroscopic techniques. This accuracy is shown to be not significantly affected by either stellar surface gravity or uncertainties in the interstellar extinction. We identify nine objects having effective temperature between 1700 and 2200 K, typical of BDs, observed J-band magnitudes in the range 19.5-21.5, and that are strongly clustered towards the luminous core of NGC 3603. However, if these are located at the distance of the cluster, they are far too luminous to be normal BDs. We argue that it is unlikely that these objects are either artifacts of our dataset, normal field BDs/M-type giants or extra-galactic contaminants and, therefore, might represent a new class of stars having the effective temperatures of BDs but with luminosities of more massive stars. We explore the interesting scenario in which these objects would be normal stars that have recently tidally ingested a Hot Jupiter, the remnants of which are providing a short-lived extended photosphere to the central star. In this case, we would expect them to show the signature of fast rotation.Comment: 26 Pages, 8 Figures, Accepted for publication on Ap

Professional perspectives on facilitators and barriers for high quality provision of health, education and social care services to disabled children in England during the COVID-19 pandemic: a qualitative study

This is the final version. Available on open access from BMJ Publishing Group via the DOI in this recordData availability statement: Data are available upon reasonable request.Objectives To understand how health, education and social care services for disabled children changed during the COVID-19 pandemic, what did or did not work well and what the impacts of service changes were on both professionals and families.Design Qualitative study using semistructured interviews.Setting Telephone and video call interviews and focus groups with professionals working in one of five local authority areas in England.Participants 78 health, education and social care professionals working with children in one of five local authority areas in England.Results There was a significant disruption to services and reduced contact with families during the early stages of the pandemic; nevertheless, professionals were able to reflect on innovative ways they interacted with and sought to support and maintain health, education and social care provision to disabled children and their families. As waitlists have substantially increased, this and the longevity of the pandemic were perceived to have had negative consequences for staff health and well-being, the health and psychosocial outcomes of children and young people, and their parent carers.Conclusions Key learning from this study for service recovery and planning for future emergencies is the need to be able to identify disabled children, classify their level of need and risk, assess the impact of loss of services and maintain clear communication across services to meet the needs of disabled children. Finally, services need to work collaboratively with families to develop child-centred care to strengthen resilience during service disruption.Data are available upon reasonable request.National Institute for Health and Care Research (NIHR