We prove in a simpler as ususal way global-in-time existence of regular solutions to three-dimensional Navier-Stokes equations under the assumption that the flow is axially symmetric.
Background Two sequelae of pediatric COVID-19 have been identified, the multisystem inflammatory syndrome in children (MIS-C) and the long COVID. Long COVID is much less precisely defined and includes all the persistent or new clinical manifestations evidenced in subjects previously infected by SARS-CoV-2 beyond the period of the acute infection and that cannot be explained by an alternative diagnosis. In this Intersociety Consensus, present knowledge on pediatric long COVID as well as how to identify and manage children with long COVID are discussed. Main findings Although the true prevalence of long COVID in pediatrics is not exactly determined, it seems appropriate to recommend evaluating the presence of symptoms suggestive of long COVID near the end of the acute phase of the disease, between 4 and 12 weeks from this. Long COVID in children and adolescents should be suspected in presence of persistent headache and fatigue, sleep disturbance, difficulty in concentrating, abdominal pain, myalgia or arthralgia. Persistent chest pain, stomach pain, diarrhea, heart palpitations, and skin lesions should be considered as possible symptoms of long COVID. It is recommended that the primary care pediatrician visits all subjects with a suspected or a proven diagnosis of SARS-CoV-2 infection after 4 weeks to check for the presence of symptoms of previously unknown disease. In any case, a further check-up by the primary care pediatrician should be scheduled 3 months after the diagnosis of SARS-CoV-2 infection to confirm normality or to address emerging problems. The subjects who present symptoms of any organic problem must undergo a thorough evaluation of the same, with a possible request for clinical, laboratory and / or radiological in-depth analysis in case of need. Children and adolescents with clear symptoms of mental stress will need to be followed up by existing local services for problems of this type. Conclusions Pediatric long COVID is a relevant problem that involve a considerable proportion of children and adolescents. Prognosis of these cases is generally good as in most of them symptoms disappear spontaneously. The few children with significant medical problems should be early identified after the acute phase of the infection and adequately managed to assure complete resolution. A relevant psychological support for all the children during COVID-19 pandemic must be organized by health authorities and government that have to treat this as a public health issue.
Overt and subclinical maternal infections in pregnancy can have multiple and significant pathological consequences for the developing fetus, leading to acute perinatal complications and/or chronic disease throughout postnatal life. In this context, the current concept of pregnancy as a state of systemic immunosuppression seems oversimplified and outdated. Undoubtedly, in pregnancy the maternal immune system undergoes complex changes to establish and maintain tolerance to the fetus while still protecting from pathogens. In addition to downregulated maternal immunity, hormonal changes, and mechanical adaptation (e.g., restricted lung expansion) make the pregnant woman more susceptible to respiratory pathogens, such as influenza virus, respiratory syncytial virus (RSV), and severe acute respiratory syndrome coronavirus-2 (SARS-CoV-2). Depending on the infectious agent and timing of the infection during gestation, fetal pathology can range from mild to severe, and even fatal. Influenza is associated with a higher risk of morbidity and mortality in pregnant women than in the general population, and, especially during the third trimester of pregnancy, mothers are at increased risk of hospitalization for acute cardiopulmonary illness, while their babies show higher risk of complications such as prematurity, respiratory and neurological illness, congenital anomalies, and admission to neonatal intensive care. RSV exposure in utero is associated with selective immune deficit, remodeling of cholinergic innervation in the developing respiratory tract, and abnormal airway smooth muscle contractility, which may predispose to postnatal airway inflammation and hyperreactivity, as well as development of chronic airway dysfunction in childhood. Although there is still limited evidence supporting the occurrence of vertical transmission of SARS-CoV-2, the high prevalence of prematurity among pregnant women infected by SARS-CoV-2 suggests this virus may alter immune responses at the maternal-fetal interface, affecting both the mother and her fetus. This review aims at summarizing the current evidence about the short- and long-term consequences of intrauterine exposure to influenza, RSV, and SARS-CoV-2 in terms of neonatal and pediatric outcomes.
Background The management of paediatric atopic dermatitis (AD) is challenging, mostly relying on emollients and topical corticosteroids. Dupilumab, a fully human monoclonal antibody, has been recently approved for the treatment of children aged 6–11 years with moderate-to-severe AD not adequately controlled with topical therapies or when those therapies are not advisable. Objectives The aim of this study was to evaluate in real life the effectiveness and safety of dupilumab in the treatment of children aged from 6 to 11 years. Methods Demographic and clinical data of children aged 6–11 years, affected by moderate-to-severe AD and treated with dupilumab, were retrospectively collected from 24 dermatological and paediatric referral centres. Dupilumab was administered subcutaneously at an induction dose of 300 mg on day (D) 1, followed by 300 mg on D15 and 300 mg every 4 weeks. Disease severity was assessed at baseline and after week 2 (W2), W4 and W16 of dupilumab therapy using Eczema Area Severity Index (EASI), Pruritus Numerical Rating Scale (P-NRS) and Sleep NRS (S-NRS) and Children’s Dermatology Life Quality Index (c-DLQI) score. Results A total of 55 AD children (24 males [43.64%], 31 females [56.36%]; mean age 9.35 ± 1.75 years) were included. A significant improvement in EASI score, P-NRS, S-NRS and c-DLQI was observed from baseline to W16 of treatment with dupilumab. In particular, at W16 the proportion of patients achieving EASI75 was 74.54%. Moreover, at the same timepoint a significant mean percentage reduction for P-NRS, S-NRS and c-DLQI was also observed (68.39%, 70.22% and 79.03%, respectively). Conclusions Our real-life data seem to confirm the effectiveness of dupilumab in paediatric patients on all disease aspects, including extent and severity of signs, intensity of symptoms, sleep and QoL, with a good safety profile.
We investigate the optimal rate of stabilization at large time of a solution to the Neumann problemwhere 0/R N , N 2, is an unbounded domain with sufficiently smooth noncompact boundary 0 satisfying certain isoperimetrical inequality and n=(n i ) is the outward normal to 0.
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