A duality approach to the fractional Laplacian with measure data

We describe a duality method to prove both existence and uniqueness of solutions to nonlocal problems like (-∆)s ʋ = µ in RN with vanishing conditions at inffnity. Here if is a bounded Radon measure whose support is compactly contained in RN N ≥ 2, and - (∆)s is the fractional Laplace operator of order s ϵ (1/2,1)

Sodium Glucose Cotransporter-2 (SGLT-2) Inhibitor Related Diabetic Ketoacidosis

Diabetic ketoacidosis is a rare but serious and life-threatening acute complication of diabetes mellitus. It is characterized by ketoacidosis with other findings and should be treated immediately. In this case, a 33-year-old diabetic patient who admitted to the emergency department with diabetic ketoacidosis is presented. The patient was prescribed empagliflozin (sodium glucose cotransporter inhibitor-2) a month ago. The SGLT-2 inhibitors have been approved for use in the treatment of type 2 DM and are still not used in the treatment of type 1 DM. There are such reports of unusual side effects related SGLT-2 inhibitors, in the literature and among them, ketoacidosis is a rare and important side effect

Membrane fouling in a submerged membrane bioreactor treating high strength municipal wastewater

Studying the influence of the operating parameters on membrane fouling is important in fouling control. This paper presents the interaction effects of the sludge retention time (SRT), organic loading rate (OLR) and feed temperature (Tf) on membrane fouling. A submerged membrane bioreactor (SMBR) was operated under a constant flux (11.1 l/m2 h), with different SRT, Tf and OLR. A synthetic wastewater representative of high strength municipal wastewater was fed to the bioreactor. Three different levels (low, medium and high) of SRT, Tf and OLR were studied. These were 25, 30 and 35 days for SRT, 20, 30 and 40°C for Tf and OLR of 1.73, 4.03 6.82 kg COD/m3.d. The sustainable time (tsus) was defined as the time at which the rate of suction pressure started to increase rapidly. tsus was found to increase with low SRT and high Tf. A higher OLR resulted in higher mixed liquor suspended solids (MLSS), however it did not cause a faster membrane fouling. Applying higher aeration rate enabled a longer sustainable time to be obtained. Sustainable time tsus was found to be well correlated with MLVSS/MLSS with an r2 of 0.995. The range of MLVSS/MLSS tested varied from 74.3 to 82.3% at which tsus decreased 2.9-fold (from 175 to 60.5 h)

The effects of SRT, OLR and feed temperature on the performance of membrane bioreactor treating high strength municipal wastewater.

The effects, of sludge retention time (SRT), feed temperature (Tf) and organic loading rate (OLR) on submerged membrane bioreactor (SMBR) performance were studied using hollow fibers (nominal pore size 0.4 µm) immersed in an aeration tank. A synthetic wastewater representative of high strength municipal wastewater was used in the study. Ten experimental runs were carried out using full factorial design with three factors and three levels (low, medium and high). These levels were 25, 30 and 35 days for SRT, 20, 30 and 40°C for Tf and 1.73, 4.03 and 6.82 kg COD/m³ d for OLR. Variation of OLR, SRT and Tf affected the biomass development significantly. The higher OLR trials resulted in higher MLVSS/MLSS ratio and also higher increasing rate of MLSS (d(MLSS)/ (dt)). For the low level OLR trials MLVSS/MLSS ratio varied between 75.3 and 82.3% and d(MLSS)/(dt) from 87.5 to 297.3 mg/l.d, whereas, for the high OLR trials they varied between 80.4 and 83.7% and 1355.4-2120.1 mg/l.d respectively. For the higher OLR, a higher aeration rate was applied to fulfill the DO demand. Therefore, for the low level OLR trials, the aeration rate and the DO were varied from 6 to 12 m³/m² membrane area per hour and from 3.7 to 5.7 mg/l, respectively, whilst for the high OLR trials they varied from 6 to 18 m³/m² membrane area/h and from 0.9 to 4.4 mg/l respectively. The permeate COD and NH3-N under different operating conditions varied from 0 to 32 mg/l, and from 0.004 to 0.856 mg/l, respectively. The interaction effects of SRT and Tf on COD removal efficiency was found to be insignificant. Increasing OLR did not affect COD removal. The optimum removal efficiency of ammonia nitrogen for the low and high strength wastewater was obtained at operating conditions of high SRT and low Tf. The pH increased significantly in the aeration tank and the increase was well correlated with the feed pH (r² = 0.8336 for low OLR and 0.9106 for high OLR)

Finding multiple target optimal intervention in disease-related molecular network

Drugs against multiple targets may overcome the many limitations of single targets and achieve a more effective and safer control of the disease. Numerous high-throughput experiments have been performed in this emerging field. However, systematic identification of multiple drug targets and their best intervention requires knowledge of the underlying disease network and calls for innovative computational methods that exploit the network structure and dynamics. Here, we develop a robust computational algorithm for finding multiple target optimal intervention (MTOI) solutions in a disease network. MTOI identifies potential drug targets and suggests optimal combinations of the target intervention that best restore the network to a normal state, which can be customer designed. We applied MTOI to an inflammation-related network. The well-known side effects of the traditional non-steriodal anti-inflammatory drugs and the recently recalled Vioxx were correctly accounted for in our network model. A number of promising MTOI solutions were found to be both effective and safer

Spin Liquid Phases in 2D Frustrated XY Model

In this paper we consider the $J_1-J_2-J_3$ classical and quantum 2D XY model. Spin wave calculations show that a spin liquid phase still exists in the quantum case as for Heisenberg models. We formulate a semiclassical approach of these models based on spin wave action and use a variational method to study the role played by vortices. Liquid and crystal phases of vortex could emerge in this description. These phases seem to be directly correlated with the spin liquid one and to its crystalline interpretation.Comment: 16 pages, Latex, 4 figures. To be published in Phys. Rev.

Addressing COVID-19 in the surgical ICU: Incidence of antibodies in healthcare personnel at a quaternary care center

Background: There is concern that frontline healthcare personnel (HCP) are at increased risk of exposure to COVID-19 compared to the general population. Multiple studies have demonstrated significant seroprevalence of COVID-19 antibodies in HCP. Increased seropositivity has been associated with reduced use of personal protective equipment (PPE) along with reported PPE shortages. This investigation aims to determine the seroprevalence of COVID-19 in frontline HCP working at a quaternary care center that was heavily impacted by the initial surge of COVID-19, while also identifying underlying factors associated with increased seropositivity. Methods & Materials: HCP who participated in the management of COVID-19 patients were recruited from April 27 to May 13 of 2020. Unidentifiable demographic data was collected, including a questionnaire to identify potential exposure, symptoms, medical comorbidities, and adherence to PPE usage on a scale of 1 to 5 (1 being always, 5 being never). Serological testing was performed using CMC-19D SARS-CoV-2 (COVID-19) Rapid Antibody Test manufactured by Audacia Bioscience. Seropositivity was captured by formation of a dark band at the G (IgG) and C (control) positions on the test device, while IgM alone was considered a false positive. Pearson chi-squared and Fisher exact tests were performed to analyze categorical variables. SPSS version 27.0 was used for statistical analysis (SPSS, Armonk, NY). Conclusion: Overall seropositivity of IgG antibodies was 10.6%. Non-ICU personnel showed higher seroprevalence compared to ICU personnel, this may be attributed to decreased reported adherence to strict PPE usage in non-ICU areas compared to ICU areas during patient contact. Compared to MICU, SICU personnel appeared to be less compliant with frequency of PPE use outside patient rooms. Adherence to PPE usage outside patient contact was a predictor of seropositivity, and non-ICU personnel had a tendency toward high seroprevalence.https://scholarlycommons.henryford.com/sarcd2021/1003/thumbnail.jp

Evaluation of a digitally-enabled care pathway for acute kidney injury management in hospital emergency admissions.

We developed a digitally enabled care pathway for acute kidney injury (AKI) management incorporating a mobile detection application, specialist clinical response team and care protocol. Clinical outcome data were collected from adults with AKI on emergency admission before (May 2016 to January 2017) and after (May to September 2017) deployment at the intervention site and another not receiving the intervention. Changes in primary outcome (serum creatinine recovery to ≤120% baseline at hospital discharge) and secondary outcomes (30-day survival, renal replacement therapy, renal or intensive care unit (ICU) admission, worsening AKI stage and length of stay) were measured using interrupted time-series regression. Processes of care data (time to AKI recognition, time to treatment) were extracted from casenotes, and compared over two 9-month periods before and after implementation (January to September 2016 and 2017, respectively) using pre-post analysis. There was no step change in renal recovery or any of the secondary outcomes. Trends for creatinine recovery rates (estimated odds ratio (OR) = 1.04, 95% confidence interval (95% CI): 1.00-1.08, p = 0.038) and renal or ICU admission (OR = 0.95, 95% CI: 0.90-1.00, p = 0.044) improved significantly at the intervention site. However, difference-in-difference analyses between sites for creatinine recovery (estimated OR = 0.95, 95% CI: 0.90-1.00, p = 0.053) and renal or ICU admission (OR = 1.06, 95% CI: 0.98-1.16, p = 0.140) were not significant. Among process measures, time to AKI recognition and treatment of nephrotoxicity improved significantly (p < 0.001 and 0.047 respectively)