Some remarks on the partial regularity of a suitable weak solution to the Navier-Stokes Cauchy problem

The aim of the paper is to investigate on some questions of local regularity of a suitable weak solution to the Navier-Stokes Cauchy problem. The results are obtained in the wake of the ones, well known, by Caffarelli-Kohn-Nirenberg

Dietary Patterns in Italy and the Risk of Renal Cell Carcinoma

Background: Conclusive evidence on foods, nutrients, or dietary patterns and the risk of renal cell carcinoma (RCC) is lacking in the literature. Methods: We considered data from an Italian hospital-based case\u2013control study (1992\u20132004) on 767 incident RCC cases and 1534 controls. A posteriori dietary patterns were identified by applying principal component factor analysis on 28 nutrients derived from a 78-item food-frequency questionnaire. We estimated the odds ratios (ORs) of RCC and corresponding 95% confidence intervals (CIs) for each quartile category (compared to the lowest one) using conditional multiple logistic regression models providing adjustment for major confounding factors. Results: We identified four dietary patterns, named \u201cAnimal products\u201d, \u201cStarch-rich\u201d, \u201cVitamins and fiber\u201d, and \u201cCooking oils and dressings\u201d. Higher intakes of the \u201cStarch-rich\u201d pattern were positively associated with RCC risk (OR = 1.38, 95% CI: 1.04\u20131.82 for the highest quartile, p = 0.018). The association was inverse with the \u201cCooking oils and dressings\u201d pattern (OR = 0.61, 95% CI: 0.47\u20130.80, p < 0.001), whereas no association was found with \u201cAnimal products\u201d and \u201cVitamins and fiber\u201d patterns. Conclusions: Higher intakes of starch-related foods may increase RCC risk, whereas consumption of olive and seed oils may favorably influence RCC risk

Diabetes risk reduction diet and endometrial cancer risk

Diabetes increases endometrial cancer risk. We investigated the role of a diabetes risk reduction diet (DRRD) on the risk of endometrial cancer using data from a multicentric, Italian hospital-based case–control study (1992–2006) enrolling 454 histologically confirmed cases of endometrial cancer and 908 controls matched by age and center. We derived a DRRD score assigning higher scores for higher intakes of cereal fiber, fruit, coffee, polyunsaturated:saturated fatty acid ratio, and nuts and for lower glycemic load and lower intakes of red/processed meat and sugar-sweetened beverages/fruit juices. The odds ratios (OR) of endometrial cancer according to the DRRD score were derived by multiple conditional logistic regression models. The OR for high (DRRD score >24, i.e., third tertile) versus medium–low adherence to the DRRD was 0.73 (95% confidence interval, CI, 0.55–0.97). Similar results were observed after the exclusion of diabetic women (OR 0.75; 95% CI, 0.56–1.00) and allowance for total vegetable consumption (OR 0.80; 95% CI, 0.60–1.07). Inverse associations were observed in most of the analyzed subgroups. The OR for high DRRD combined with high vegetable consumption was 0.45 (95% CI, 0.28–0.73). Our results suggest that diets able to reduce diabetes risk may also reduce endometrial cancer risk. High vegetable consumption combined with high adherence to the DRRD may provide additional benefit in endometrial cancer prevention

An elementary proof of uniqueness of the particle trajectories for solutions of a class of shear-thinning non-Newtonian 2D fluids

We prove some regularity results for a class of two dimensional non-Newtonian fluids. By applying results from [Dashti and Robinson, Nonlinearity, 22 (2009), 735-746] we can then show uniqueness of particle trajectories

Dietary intake of branched-chain amino acids and colorectal cancer risk

ABSTACTAn adequate intake of branched-chain amino acids (BCAAs) is required for protein synthesis and metabolic functions, including insulin metabolism. Emerging studies found positive associations between BCAAs and the risk of various diseases sharing etiological aspects with colorectal cancer (CRC), including type 2 diabetes, obesity, and pancreatic cancer.We investigated the relation between dietary BCAAs and CRC using data from a multicentric Italian case-control study, including 1953 cases of CRC (of these, 442 of sigmoid colon) and 4154 hospital controls with acute, non-neoplastic diseases. A validated food-frequency questionnaire was used to estimate the participants' usual diet and to assess dietary intakes of various nutrients, including energy, BCAAs and calcium. Odds ratio (ORs) and corresponding confidence intervals (CI) were computed by multiple logistic regression models adjusted for age, sex and other confounding factors, including total energy intake.BCAA intake was inversely related to CRC risk (OR for the highest versus the lowest quintile, 0.73; 95% CI, 0.55-0.97), but the association was attenuated after adjustment for calcium intake (OR, 0.90; 95% CI, 0.65-1.25). A linear inverse association with sigmoid colon cancer risk remained also after adjustment for other dietary factors, including calcium intake (OR, 0.49; 95% CI, 0.27-0.87).This study provides supporting evidence that higher levels of dietary BCAA intake are not associated with an increase of CRC risk, but confirms that they may be related to a reduced risk of sigmoid colon cancer