Global Dimension of Polynomial Rings in Partially Commuting Variables

For any free partially commutative monoid $M(E,I)$, we compute the global dimension of the category of $M(E,I)$-objects in an Abelian category with exact coproducts. As a corollary, we generalize Hilbert's Syzygy Theorem to polynomial rings in partially commuting variables.Comment: 11 pages, 2 figure

Dimethyl fumarate in patients admitted to hospital with COVID-19 (RECOVERY): a randomised, controlled, open-label, platform trial

Dimethyl fumarate (DMF) inhibits inflammasome-mediated inflammation and has been proposed as a treatment for patients hospitalised with COVID-19. This randomised, controlled, open-label platform trial (Randomised Evaluation of COVID-19 Therapy [RECOVERY]), is assessing multiple treatments in patients hospitalised for COVID-19 (NCT04381936, ISRCTN50189673). In this assessment of DMF performed at 27 UK hospitals, adults were randomly allocated (1:1) to either usual standard of care alone or usual standard of care plus DMF. The primary outcome was clinical status on day 5 measured on a seven-point ordinal scale. Secondary outcomes were time to sustained improvement in clinical status, time to discharge, day 5 peripheral blood oxygenation, day 5 C-reactive protein, and improvement in day 10 clinical status. Between 2 March 2021 and 18 November 2021, 713 patients were enroled in the DMF evaluation, of whom 356 were randomly allocated to receive usual care plus DMF, and 357 to usual care alone. 95% of patients received corticosteroids as part of routine care. There was no evidence of a beneficial effect of DMF on clinical status at day 5 (common odds ratio of unfavourable outcome 1.12; 95% CI 0.86-1.47; p = 0.40). There was no significant effect of DMF on any secondary outcome

Glial repair in an insect central nervous system: effects of selective glial disruption

In vivo application of ethidium bromide to cockroach central nervous connectives caused extensive disruption of the neuroglia within 24 hr. Axonal conduction persisted following treatment with the glial toxin. A consistent feature of glial damage and repair was the prominent involvement of granule-containing cells. These cells (which were never seen in control cords) shared a number of cytological features with hemocytes that were seen adhering to and penetrating the neural lamella, in the early stages of glial damage. The granule-containing cells appear to serve dual functions: phagocytosis and structural repair. After 48 hr, granule-containing cells, or their processes, formed layers at the periphery of the connectives. By 4 to 6 days after treatment, the peripheral cells had assumed the morphological characteristics of normal perineurial cells and by 28 days were indistinguishable, ultrastructurally, from those of the perineurium of normal, untreated animals. These structural changes paralleled the re-establishment of the normal permeability properties of the blood-brain interface revealed by the exclusion of an extracellular tracer, ionic lanthanum, and electrophysiological observations

Nitromethylene actions on in situ and expressed insect nicotinic acetylcholine receptors

AbstractSingle channel recordings from dissociated housefly (Musca domestica) neurons show that a novel type of nitromethylene insecticide, 2(nitromethylene)tetrahydro-1,3-thiazine (NMTHT) gates a channel, the conductance and open time histogram of which resemble those obtained when acetylcholine is the agonist. Injection into Xenopus oocytes of a locust (Schistocerca gregaria) α-subunit mRNA results in the expression of functional nicotinic receptors sensitive to NMTHT. Control oocytes injected with distilled water are insensitive to the same concentration of this compound. Thus NMTHT exhibits agonist actions at both in situ and expressed insect nicotinic receptors, and one site of action of this compound is on an insect nicotinic receptor α-subunit