An algebraic model for free rational G-spectra

We show that for any compact Lie group G with identity component N and component group W = G/N, the category of free rational G-spectra is equivalent to the category of torsion modules over the twisted group ring H ∗ (BN)[W]. This gives an algebraic classification of rational G-equivariant cohomology theories on free G-spaces and a practical method for calculating the groups of natural transformations between them

Haze in the Mars atmosphere as revealed by the Mariner 4 television data

Photometric investigation of haze in Mars atmosphere revealed by Mariner 4 television dat

Fixed point adjunctions for module spectra

We consider the Quillen adjunction between fixed points and inflation in the context of equivariant module spectra over equivariant ring spectra, and give numerous examples including some based on geometric fixed points and some on the Eilenberg-Moore spectral sequence. These results were originally presented as part of our equivalence between rational torus-equivariant spectra and an algebraic model in arXiv:1101.2511. However, the present results apply in many other interesting cases explored here, which are not rational and where the ambient group is not a torus. The material in arXiv:1101.2511v3 will be revised to refer to this paper

An algebraic model for rational torus-equivariant spectra

We show that the category of rational G-spectra for a torus G is Quillen equivalent to an explicit small and practical algebraic model, thereby providing a universal de Rham model for rational G-equivariant cohomology theories. The result builds on the first author's Adams spectral sequence, the second author's functors making rational spectra algebraic. There are several steps, some perhaps of wider interest (1) isotropy separation (replacing the category of G-spectra by modules over a diagram of isotropically simple ring G-spectra) (2) passage to fixed points on ring and module categories (replacing diagrams of ring G-spectra by diagrams of ring spectra) (3) replacing diagrams of ring spectra by diagrams of differential graded algebras (4) rigidity (replacing diagrams of DGAs by diagrams of graded rings). Systematic use of cellularization of model categories is central

Clinician and patients’ views about self-management support in arthritis: a cross-sectional UK survey

Objective The overall aims of the study are to (a) establish receipt and provision of self-management support for patients with inflammatory arthritis in the UK; and (b) establish if receipt of selfmanagement support is associated with patient’s knowledge, skills and confidence to selfmanage. Methods Questionnaire for patients and healthcare professionals were sent to members and associates of the National Rheumatoid Arthritis Society (NRAS). Patients completed the Patient Activation Measure (PAM), and questions about receipt of self-management support. Healthcare professionals completed the Clinician Support PAM and questions about provision of self-management support. Results A total of 886 patients and 117 healthcare professionals completed a questionnaire. Only 15% of patients had attended a structured self-management programme. Over half of patients reported having the skills, confidence and knowledge to self-manage and this was associated with receipt of self-management support embedded in routine care. All healthcare professionals felt that patients should be actively involved in their own care, however, 60% were unable to offer structured self-management support. Healthcare professionals reported engaging in more embedded self-management support than patients reported receiving in routine care

A mathematical framework for nerve regeneration in implantable conduits

Matching the performance of autografts with engineered scaffolds remains a challenge in peripheral nerve repair. A combination of 3D biomimetic architecture interspersed with 2D surfaces has been hypothesized to be an ideal environment for neurite regeneration. However, the problem of how best to arrange material within a conduit is an open one. Optimizing material parameters such as density, cross-sectional geometry and spatial distribution would require an extensive programme of experimental testing. By contrast, developing a modelling framework that is capable of testing key parameters may accelerate the design process, and reduce the dependency on animal testing