Diagonal tensor algebra and naive liftings

The notion of naive lifting of DG modules was introduced by the authors in [16,17] for the purpose of studying problems in homological commutative algebra that involve self-vanishing of Ext. Our goal in this paper is to deeply study the naive lifting property using the tensor algebra of the shift of the diagonal ideal (or, diagonal tensor algebra, as is phrased in the title of this paper). Our main result provides several characterizations of naive liftability of DG modules under certain Ext vanishing conditions. As an application, we affirmatively answer [19, Question 4.10] under the same assumptions.Comment: 20 page

Extraction of Phytochemicals from Grains of Paradise Using Supercritical Carbon Dioxide

Supercritical carbon dioxide (SCCO2) is one of the green methods to extract plant matters substances. In this study, SCCO2 has been applied as a media to extract the grains of paradise seeds substances at temperatures of 40 – 80 oC and pressures of 20 – 40 MPa using a semi–continuous flow–type system. Results of FT–IR spectra analysis showed that the grains of paradise seeds substances were extracted by SCCO2. The SEM images of the grains of paradise seeds residues also showed that the physical changes of the grains of paradise seeds surface occurred after SCCO2 extraction. The main compounds in extracts were gingerols, shogaols, and paradols. However, the GC–MS may only identify paradol compounds due to gingerols, shogaols, and paradols are homologous series of phenolic ketones and paradols was more stable than gingerols and shogaols. The yields of gingerols, shogaols, and paradols were 9.12, 3.90, and 4.42 mg/g sample, respectively and affected by extraction temperatures and/or extraction pressures

Responses to depressive symptom items exhibit a common mathematical pattern across the European populations

The theoretical distribution of responses to depressive symptom items in a general population remains unknown. Recent studies have shown that responses to depressive symptom items follow the same pattern in the US and Japanese populations, but the degree to which these findings can be generalized to other countries is unknown. The purpose of this study was to conduct a pattern analysis on the EU population’s responses to depressive symptom items using data from the Eurobarometer. The Eurobarometer questionnaires include six depressive symptom items from the 12-item General Health Questionnaire. The pattern analysis revealed that, across the entire EU population, the ratios between “score = 2” and “score = 1” and between “score = 3” to “score = 2” were similar among the six items and resulted in a common pattern. This common pattern was characterized by an intersection at a single point between “score = 0” and “score = 1” and a parallel pattern between “score = 1” and “score = 3” on a logarithmic scale. Country-by-country analyses revealed that the item responses followed a common characteristic pattern across all 15 countries. Our results suggest that responses to depressive symptom items in a general population follow the same characteristic pattern regardless of the specific country

Antitumor activity of α-pinene in T-cell tumors

T-cell acute leukemia and lymphoma have a poor prognosis. Although new therapeu-tic agents have been developed, their therapeutic effects are suboptimal. α- Pinene, a monoterpene compound, has an antitumor effect on solid tumors; however, few comprehensive investigations have been conducted on its impact on hematologic ma-lignancies. This report provides a comprehensive analysis of the potential benefits of using α- pinene as an antitumor agent for the treatment of T-cell tumors. We found that α- pinene inhibited the proliferation of hematologic malignancies, especially in T- cell tumor cell lines EL-4 and Molt-4, induced mitochondrial dysfunction and re-active oxygen species accumulation, and inhibited NF-κB p65 translocation into the nucleus, leading to robust apoptosis in EL-4 cells. Collectively, these findings suggest that α- pinene has potential as a therapeutic agent for T-cell malignancies, and further investigation is warranted

Stability of the Distribution of Patient Health Questionnaire-9 Scores Against Age in the General Population: Data From the National Health and Nutrition Examination Survey

Background: Epidemiological studies using the nine-item Patient Health Questionnaire (PHQ-9) have reported inconsistencies regarding the relationship between age and total scores. To determine whether this discrepancy is due to the stability of the distribution of PHQ-9 total scores against age, we investigated whether the total score distribution remains stable during adulthood, and also investigated the mathematical patterns of the total score distribution.Methods: The present study utilized data from 15,847 participants of the 2009–2014 United States National Health and Nutrition Examination Survey, all of whom responded to all PHQ-9 items. The stability of the total score distribution among different age groups was examined using overlap coefficients and graphical analysis.Results: High overlap coefficients were observed between all age groups for the distributions of PHQ-9 total scores, suggesting that the distribution of PHQ-9 total scores remains stable against age. Graphical analysis demonstrated that distributions of PHQ-9 total scores were similar across age groups. In addition, distributions of PHQ-9 total scores exhibited an exponential pattern, except at the lower end of the distribution.Conclusions: Our findings indicate that the stability of the distribution of PHQ-9 total scores throughout adulthood may underlie inconsistencies in the evidence regarding age-related changes in total depression scores