A simple planning problem for COVID-19 lockdown: a dynamic programming approach.

A large number of recent studies consider a compartmental SIR model to study optimal control policies aimed at containing the diffusion of COVID-19 while minimizing the economic costs of preventive measures. Such problems are non-convex and standard results need not to hold. We use a Dynamic Programming approach and prove some continuity properties of the value function of the associated optimization problem.

Polycythemia as rare secondary direct manifestation of acromegaly: management and single-centre epidemiological data.

Polycythemia associated with acromegaly is usually caused by the systemic manifestations of the disease, such as sleep-apnea or concomitant erythropoietin-secreting kidney tumors. The recognition of underlying pathologies requires a thorough diagnostic process. We report a unique case of acromegaly with polycythemia, not caused by commonly described manifestations of the disease, and receding with octreotide therapy.

Glucocorticoid effects on adrenal steroids and cytokine responsiveness in polymyalgia rheumatica and elderly onset rheumatoid arthritis.

Polymyalgia rheumatica (PMR) usually exhibits a good clinical response to glucocorticoid (GC) treatment, but early clinical symptoms may create some difficulties in the differential diagnosis with elderly onset rheumatoid arthritis (EORA), particularly in patients complaining of shoulder and pelvic girdle involvement at onset (PMR-like clinical onset) (EORA/PMR). Since neuroendocrine mechanisms seem to play a pathogenetic role in these clinical conditions, the aim of this study was to evaluate hormone and cytokine responsiveness to GC treatment in these patients. Cortisol (CO), dehydroepiandrosterone sulphate (DHEAS), 17-OH-progesterone (PRG), interleukin-1 receptor antagonist (IL-1Ra), interleukin-6 (IL-6), and tumor necrosis factor-alpha (TNF-alpha) were evaluated at base line, and 1 month after GC treatment (prednisone 10 mg/day), in 14 PMR, 11 EORA/PMR, and 13 EORA patients (mean age 73 +/- 5 years, +/- SD, mean disease duration 3 +/- 2 months, +/- SD).