A probabilistic method for gradient estimates of some geometric flows

In general, gradient estimates are very important and necessary for deriving convergence results in different geometric flows, and most of them are obtained by analytic methods. In this paper, we will apply a stochastic approach to systematically give gradient estimates for some important geometric quantities under the Ricci flow, the mean curvature flow, the forced mean curvature flow and the Yamabe flow respectively. Our conclusion gives another example that probabilistic tools can be used to simplify proofs for some problems in geometric analysis.Comment: 22 pages. Minor revision to v1. Accepted for publication in Stochastic Processes and their Application

The catalogues and mid-infrared environment of Interstellar OH Masers

Data for a number of OH maser lines have been collected from surveys. The posi- tions are compared to recent mid-infrared (MIR) surveys such as Spitzer-GLIMPSE and WISE, restricting the comparison to point sources. The colors and intensities of the IR sources are compared. There are many 18 cm OH masers, but far fewer in lines arising from higher energy levels. We also make a comparison with the 5 cm Class II methanol masers. We have divided the results into 3 subsamples: those associated with OH masers only, those associated with OH masers and Class II methanol masers, and those only associated with Class II methanol masers. There are no obvious dif- ferences in the color-color or color-magnitude results for the GLIMPSE point sources. However, according to the results from the WISE 22 {\mu}m survey, the sources associ- ated with OH masers are brighter than those associated with methanol masers. We interpret the presence of OH and methanol masers mark the locations of regions where stars are forming. The OH masers are located on the borders of sharp features found in the IR. These are referred to as bubbles. If the OH masers mark the positions of protostars, the result provides indirect evidence for triggered star formation caused by the expansion of the bubbles.Comment: 23 pages (11 pages online only), 12 figures, Accepted. Monthly Notices of the Royal Astronomical Society,201

A cubic quadrilateral spline element with concave shapes

AbstractBasic requirement for applying isoparametric element is that the element has to be convex and no violent distortion is allowed. In this paper, a cubic quadrilateral spline element with 12 nodes has been developed using the triangular area coordinates and the B-net method, which can exactly model the cubic field for quadrilateral element with both convex and concave shapes. Neither mapping nor coordinate transformation is required and the spline element can obtain high accuracy solutions and insensitive to mesh distortions

Discussion on Application of Nursing Risk Management in Physical Examination Center

Objective: to explore whether the application of nursing risk management in physical examination center has positive significance; Method: 50 patients who received medical examination from December 1st to 31st, 2019 were randomly divided into two groups according to the number of the medical examination card, 25 patients in Group A were given routine nursing management, which will be referred as the control group hereafter while group B with 25 people will have the nursing risk management, which will be referred as the observation group. After all the physical examination items ended, statistical physical examination results and the degree of satisfaction of the physical examination will be recorded. Results: Errors of the observation group in the physical examination process were significantly less than that of the control group (P<0.05) and the degree of satisfaction of physical examinees in the observation group was higher than that in the control group(P<0.05). Conclusion: The use of nursing risk management in medical examination center can improve the degree of satisfaction of medical examiners and reduce the occurrence of accidents and disputes

Anticancer activity of isomultiflorenol against human cervical cancer cells due to G2/M cell cycle arrest, autophagy and mitochondrial mediated apoptosis

Purpose: To determine the anticancer effect of a pentacyclic triterpenoid, isomultiflorenol, against human cervical cancer.Methods: The proliferation of cancer cells was determined using 3-(4,5-dimethylthiazol-2-yl)-2,5- diphenyl tetrazolium bromide (MTT) assay. Cell viability was measured with colony forming assay, while flow cytometry was used to study phase distribution in cancer cell mitosis. Electron microscopy was employed for the determination of autophagy induction in the cancer cells, while western blotting was used to assay protein expressions.Results: Isomultiflorenol significantly (p < 0.05) inhibited the proliferation and viability of cervical cancer cells in a concentration-dependent manner. The IC50 of isomultiflorenol was 10 μM for HeLa cells, and 90 μM for normal EV304 cells. The anti-proliferative effects were exerted as a result of arrest of HeLa cells at G2/M phase. The G2/M phase cells increased from 10.34 % in control to 30.21 % on treatment with 20 μM isomultiflorenol. Furthermore, administration of isomultiflorenol led to induction of cancer cell autophagy via mitochondrial apoptotic signaling.Conclusion: Isomultiflorenol inhibits human cervical cancer cells in vitro by inducing cell cycle arrest and autophagy. Thus, it is a potential lead molecule in the development of cervical cancer chemotherapy. Keywords: Cervical cancer, Terpenoids, Isomultiflorenol, Autophagy, Cell cycle arrest, Apoptosi