Distributed Control for Non-Cooperative Systems Under Conjugation Conditions

In this paper, the distributed control for non-cooperative elliptic systems under conjugation conditions is established. First, the existence and uniqueness of the state for these systems with Dirichlet and conjugation conditions is proved, then the set of equations and inequalities that characterizes the distributed control of these systems is found. The non-cooperative Neumann systems with conjugation conditions is also discussed

Distributed control for cooperative Parabolic systems with conjugation conditions

In this paper, we consider cooperative Parabolic systems defined on bounded, continuous and strictly Lipschitz domain of n R with conjugation conditions. We study the optimal control for these systems with Dirichlet conditions. Also, we establish the problem with Neumann conditions .The control in our problems is of distributed type

Dietary intake and the risk of gastro-oesophageal reflux disease: a cross sectional study in volunteers

Background: Although diet has been associated with gastro-oesophageal reflux disease (GORD), the role of dietary components (total energy, macro and micronutrients) is unknown. We examined associations of GORD symptoms with intakes of specific dietary components

Semilinear cooperative elliptic systems on Rn

We study here the following semilinear cooperative elliptic system defined on IRn , n > 2 : (1 – a) −∆u = aρ(x)u + bρ(x)v + f(x, u, v) x ∈ IRn , (1 – b) −∆v = cρ(x)u + dρ(x)v + g(x, u, v) x ∈ IRn , (1 – c) u −→ 0 , v −→ 0 as |x| −→ +∞. Here a, b, c, d are constants such that b, c > 0 ; ρ, f and g are given functions; ρ is nonnegative and tends to 0 at ∞. We first establish necessary and sufficient conditions on the coefficients for having a Maximum Principle for the linear System. Then we show that these conditions ensure existence of solutions for the linear System and for the semilinear System when f and g satisfy some ”sublinear” condition. Under some additional assumption we also derive uniqueness of the solutions. Finally we show that our results can be extended to N × N systems, N > 2

Comparison of endoscopic ultrasound guided 22-gauge core needle with standard 25-gauge fine-needle aspiration for diagnosing solid pancreatic lesions

Background and Objectives: Endoscopic ultrasound-guided fine-needle aspiration (EUS-FNA) is the standard modality for diagnosing pancreatic masses. We compared the diagnostic yield of a new EUS-guided 22-gauge core needle biopsy to a standard 25-gauge FNA in sampling the same pancreatic lesions during the same EUS. Patients and Methods: The main outcomes of the study were the sample adequacy of each method to provide a final pathological diagnosis, and the concordance in diagnosis between core and FNA specimens. The secondary outcomes were the sensitivity and specificity of the findings for each needle and the incremental yield of using both needles compared with using each needle alone. Results: A total of 56 patients with 61 solid pancreatic lesions were evaluated. The mean number of passes with FNA was 3.5 (ranges 1-8) and with core biopsy needle was 1.7 (ranges 1-5). The proportions of adequate samples were 50/61 (81.9%) for FNA and 45/61 (73.8%) for core biopsy (P = 0.37). The diagnostic yield was 46/61 (75.4%), 42/61 (68.9%) and 47/61 (77.1%) for FNA, core, and both, respectively. There was a substantial agreement of 87.5% ( = 0.77; P \u3c 0.001) in the findings of core and FNA specimens. The sensitivity for the diagnosis of malignancy for FNA and core biopsy were 68.1% and 59.6%, respectively (P = no significant [NS]). The specificity was 100% for both methods. The incremental increase in sensitivity and specificity by combining both methods are 1.5% and 0%, respectively. Conclusion: There are NS differences in the diagnostic yield between EUS-guided 22-gauge core biopsy and standard 25-gauge FNA for diagnosing pancreatic lesions, but core biopsy required fewer numbers of passes. There was NS incremental diagnostic yield when using both needles during the same procedure

Management advice for patients with reflux-like symptoms: an evidence-based consensus

Copyright \ua9 2023 The Author(s). Published by Wolters Kluwer Health, Inc. Patients with reflux-like symptoms (heartburn and regurgitation) are often not well advised on implementing individualised strategies to help control their symptoms using dietary changes, lifestyle modifications, behavioural changes or fast-acting rescue therapies. One reason for this may be the lack of emphasis in management guidelines owing to \u27low-quality\u27 evidence and a paucity of interventional studies. Thus, a panel of 11 gastroenterologists and primary care doctors used the Delphi method to develop consolidated advice for patients based on expert consensus. A steering committee selected topics for literature searches using the PubMed database, and a modified Delphi process including two online meetings and two rounds of voting was conducted to generate consensus statements based on prespecified criteria (67% voting \u27strongly agree\u27 or \u27agree with minor reservation\u27). After expert discussion and two rounds of voting, 21 consensus statements were generated, and assigned strength of evidence and Grades of Recommendation, Assessment, Development, and Evaluation (GRADE) rating. Eleven statements achieved the strongest (100%) agreement: five are related to diet and include identification and avoidance of dietary triggers, limiting alcohol, coffee and carbonated beverages, and advising patients troubled by postprandial symptoms not to overeat; the remaining six statements concern advice around smoking cessation, weight loss, raising the head-of-the-bed, avoiding recumbency after meals, stress reduction and alginate use. The aim of developing the consensus statements is that they may serve as a foundation for tools and advice that can routinely help patients with reflux-like symptoms better understand the causes of their symptoms and manage their individual risk factors and triggers

A record-linkage study of the development of hepatocellular carcinoma in persons with hepatitis C infection in Scotland

We investigated trends in first time hospital admissions and deaths attributable to hepatocellular carcinoma (HCC) in a large population based cohort of 22 073 individuals diagnosed with hepatitis C viral (HCV) infection through laboratory testing in Scotland in 1991 2006. We identified new cases of HCC through record linkage to the national inpatient hospital discharge database and deaths registry. A total of 172 persons diagnosed with HCV were admitted to hospital or died with first time mention of HCC. Hepatocellular carcinoma incidence increased between 1996 and 2006 (average annual change of 6.1, 95% confidence interval (CI):0.9 11.6%, P¼0.021). The adjusted relative risk of HCC was greater for males (hazard ratio¼2.7, 95% CI: 1.7 4.2), for those aged 60 years or older (hazard ratio ¼2.7, 95% CI: 1.9 4.1) compared with 50 59 years, and for those with a previous alcohol related hospital admission (hazard ratio¼2.5, 95% CI: 1.7 3.7). The risk of individuals diagnosed with HCV developing HCC was greatlyincreased compared with the general Scottish population (standardised incidence ratio¼127, 95% CI: 102 156). Owing to the advancing age of the Scottish HCV diagnosed population, the annual number of HCC cases is projected to increase, with a consequent increasing burden on the public healthcare system