Two inequalities in the book Navier-Stokes Equations Theory and Numerical Analysis written by Roger Temam are improved via Schwarz's inequality and Young's inequality, and the coefficients of them are simplified from 21/4·31/2 and 21/2·33/4 to 21/4 and 23/4, respectively. Therefore, to some extent the approximating error can be reduced and the accuracy of approximation can be improved.

The proper orthogonai decomposition (POD) method for the instatiouary Navier-Stokes equations is considered. Several numerical approaches to evaluating the POD eigenfunctions are presented. The POD eigenfunctions are applied as a basis for a Galerkin projection of the instationary Navier-Stokes equations. And a low-dimensional ordinary differential models for fluid flows governed by the instationary Navier-Stokes equations are constructed. The numerical examples show that the method is feasible and efficient for optimal control of fluids.

The mainstay of treatment of laryngopharyngeal reflux focuses on a concoction involving proton-pump inhibitor and modified beneficial behaviors, sometimes referring to medications like H2-R blocker etc. Therapeutic effect seems to be promising although may at times be challenged by conflict researches. Voice therapy and voice parameters emerge to provide a grand new perspective in treatment and evaluation of this disease.
Humans ; Laryngopharyngeal Reflux ; therapy ; Proton Pump Inhibitors ; therapeutic use

Objective To investigate the efficacy of aripiprazole addition therapy on adiponectin and leptin in schizophrenia patients with olanzapine-induced weight gain. Methods Schizophrenia patients with clinically significant weight gain induced by olanzapine were randomly divided into two groups:treated with olanzapine+aripiprazole (5 mg/d, n=48) or olanzapine+placebo (n=46). The level of FBS, TG, TC, adiponectin, leptin, the body index (BMI) and the insu?lin resistance index (HOMA-IR) were measured before and 4, 8 and 12 weeks after treatment. Results Adiponectin in?creased and leptin as well as HOMA-IR decreased in olanzapine+aripiprazole group after 4, 8 and 12 weeks treatment (P<0.05). However, FBS, TG and TC decreased and BMI increased only after 8 and 12 weeks treatment(P<0.05). In olanzapine+placebo group, the dadiponectin decreased and leptin, HOMA-IR as well as BMI increased after 8 and 12 weeks treatment(P<0.05). In olanzapine + aripiprazole group the adiponectin, leptin and HOMA-IR of 4, 8 and 12 weeks and BMI of 8 and 12 weeks were different from olanzapine + placebo group(P<0.05). Conclusions In schizo?phrenia patients with olanzapine-induced weight gain, aripiprazole addition therapy can ameliorate the HOMA-IR and BMI probably through the regulation of adiponectin and leptin.

[ABSTRACT]OBJECTIVETo diagnose laryngopharyngeal reflux (LPR) by using two methods: 24h pH monitoring and RSI combined with RFS scales. To research the voice characteristics of patients with LPR and changes of voice parameters before and after PPIs therapy, and to use voice parameters to help diagnosing and evaluating treatment effect of LPR.METHODSThe patients visited department of Otolaryngology head & neck surgery of Peking University Third Hospital from August 2012 to August 2013 were included in this study. There were 26 LPR patients diagnosed by 24 hr pH-MII monitoring (pH group) and 26 LPR patients diagnosed by RSI combined with RFS (questionnaire group). Another 52 subjects without laryngeal or pharyngeal symptoms were as control group. All subjects underwent MDVP examination. The patients from pH group and questionnaire group took esomeprazole 20 mg bid for one month, afterwards MDVP was examined again. The voice related parameters were compared before and after medication therapy.RESULTSComparing data between LPR patients and normal subjects, Jitter, Shimmer, NHR had significant difference (P<0.05), and F0, MPT had no significant difference (P>0.05) before treatment. After PPIs therapy there was no significant difference between each group (P>0.05).CONCLUSIONAbnormal voice parameters were existed in LPR patients. After PPIs treatment, voice related parameters improved apparently.

We present an algorithm for numerical solution of transport equation in diffusive regimes, in which the transport equation is nearly singular and its solution becomes a solution of a diffusion equation. This algorithm, which is based on the Least-squares FEM in combination with a scaling transformation, presents a good approximation of a diffusion operator in diffusive regimes and guarantees an accurate discrete solution. The numerical experiments in 2D and 3D case are given, and the numerical results show that this algorithm is correct and efficient.

Objective To investigate the effects and the possible mechanisms of nerve growth factor (NGF) on serum levels of vascular endothelial growth factor (VEGF) and stromal cell-derived factor 1 (SDF-1) protein expression in rats with focal cerebral ischemia.Methods Male Sprague-Dawley rats weighting 200 ～ 250 g were subjected to middle cerebral occlusion (MCAO).MCAO rats were randomly divided into NGF group,saline control group and NGF+PI3K antagonist group (n =12).The neurological function was evaluated on the 4th,7th day after MCAO,and the serum levels of VEGF and SDF-1 protein were measured by ELISA.Results The neurological function was better in rats of the NGF group than those of the saline control group and NGF+PI3K antagonist on the 4th,7th day after MCAO (P ＜ 0.05).The serum levels of VEGF and SDF-1 protein of the NGF group was significantly higher than that of the saline control group and NGF+PI3K antagonist group on the 4th day after MCAO (P ＜ 0.05).Conclusions Treatment with NGF may improve neurological function of rats with focal cerebral ischemia,and upregulate serum levels of VEGF and SDF-1 protein expression.PI3K/AKT signal pathway may have attended the above regulation.

AIM: To observe the effects of Egr-1 gene knockout on the expression of inflammatory-related factors in pancreatic tissue in a mouse acute pancreatitis model.METHODS: The experimental pancreatitis was induced by high-dose of cearulein in wildtype mice and Egr-1 knockout mice.The pancreatitis indexes,such as serum amylase,pancreata edema,and myeloperoxidase(MPO) levels in pancreata and lungs were recorded.The mRNA levels of tissue factor(TF),plasminogen activator inhibitor(PAI-1),monocyte chemoattractant protein(MCP-1),Gro-1,IL-6 and ICAM-1 were measured by quantitative PCR.RESULTS: Contrary to wildtype mice,typical pancreatitis was not induced by high-dose cearulein in the Egr-1 knockout mice,not only markedly reduced edema in pancreata and lungs,but decreased MPO levels in lungs as well were found.Furthermore,the mRNA of TF,PAI,MCAP,ICAM-1 and IL-6 in pancreata were significantly decreased in Egr-1 knockout mice.CONCLUSION: The severity of pancreatitis and lung damage is ameliorated in Egr-1 knockout mice stimulated by high-dosage of cearulein,which was probably mediated by decreasing expression of inflammatory-related factors in pancreata,such as TF,PAI,MCP-1,ICAM-1 and IL-6.

Background Maternal exposure to bisphenol A (BPA) during pregnancy is closely related to adverse growth and development conditions such as preterm birth and low birth weight, but the relevant mechanisms are still unclear. UDP-glucuronosyltransferases (UGTs) can regulate the excretion of BPA conjugating with glucuronic acid through urine, which is one of the important pathways for BPA elimination. Objective To explore the changes in the expression of UGTs in placenta and fetal liver of rats before birth induced by maternal exposure to BPA during pregnancy. Methods Thirty SPF-grade healthy SD pregnant rats were randomly divided into five groups: control group, 0.05, 0.5, 5, and 50 mg·kg⁻¹ BPA groups. The pregnant rats were exposed to BPA dissolved in corn oil via oral gavage daily from gestational day (GD) 5 to GD 19. After anesthesia, the pregnant rats were sacrificed on GD 20 and the placentas were collected. Body length, tail length, and weight of the fetal rats were measured. Fetal liver tissues were then separated, and organ weights were measured. Real-time quantitative polymerase chain reaction (RT-PCR) and Western blot (WB) were used to determine the mRNA and protein levels of UGT1A1, UGT1A6, UGT1A9, and UGT2B1 in the placenta and fetal liver tissues in each group. Results There were no differences in body length and tail length of the pups after maternal exposure to BPA during pregnancy. The fetal body weight and placenta weight in the 5 and 50 mg·kg⁻¹ BPA groups and the liver weight in the 5 mg·kg⁻¹ BPA group reduced compared with the control group (P<0.05). The results of UGTs expressions in placenta showed that compared with the control group, the UGT1A1 mRNA levels in placenta of the BPA groups (exposure dose≥0.5 mg·kg⁻¹) and the UGT1A1 protein level in placenta of the 50 mg·kg⁻¹ BPA group increased (P<0.05); the UGT1A6 mRNA and protein levels in placenta of each BPA group did not change (P>0.05); the UGT1A9 mRNA level in placenta of the 50 mg·kg⁻¹ BPA group and the UGT1A9 protein levels in placenta of the BPA groups (exposure dose≥0.5 mg·kg⁻¹) reduced (P<0.05); while the levels of UGT2B1 mRNA in placenta of the BPA groups (exposure dose≥0.5 mg·kg⁻¹) reduced (P<0.05). The results of UGTs expressions in fetal liver showed that compared with the control group, the UGT1A1, UGT1A6, UGT1A9, and UGT2B1 mRNA levels of each BPA group increased (P<0.05); no obvious alternation was observed in UGT1A6 protein levels in each BPA group (P>0.05); the relative protein levels of UGT1A9 in fetal liver in the 50 mg·kg⁻¹ BPA group increased (P<0.05); conversely, the relative protein levels of UGT2B1 in fetal liver in the BPA groups (exposure dose≥0.5 mg·kg⁻¹) reduced (P<0.05). Conclusion Maternal exposure to BPA during pregnancy can elevate the UGT1A1 gene and protein expressions, inhibit the UGT1A9 gene and protein expressions and UGT2B1 gene expressions in placenta. Besides, maternal exposure to BPA during pregnancy can raise the gene expressions of UGT1A1, UGT1A6, UGT1A9, and UGT2B1 in fetal liver, as well as the protein expression of UGT1A9, but inhibit the protein expression of UGT2B1. These changes may contribute to fetal developmental abnormalities after maternal exposure to BPA during pregnancy.

Objective:To evaluate clincal value of preoperative peripheral blood CD4/CD8 and neutrophil to lymphocyte ratio (NLR) in papillary thyroid carcinoma (PTC) coexisted with Hashimoto’s thyroiditis (HT) .Methods:Clinicopathological data of 202 patients diagnosed as PTC treated with operation from Jul.2016 to Jun.2019 were retrospectively analyzed. They were divided into Treatment Group including 94 PTC coexisted with HT and Control Group including 108 thyroid cancer according to the postoperateive pathology report. CD4+ and CD8+ subsets in peripheral blood were analyzed by flowcytometer and blood counts were measured before surgery.Results:There was no significant difference in gender, tumor size, number of lesions or lymph node metastasis between the two goups. In comparison with Control Group, median age was lower (39.5 vs 50.5, P=0.001) and CD4/CD8 raito (1.9731.973 Cvs 1.24141973 CD P=0.001) was higher in Treatment group. There was a higher proportion of bilateral lobe thyroidectomy in Treatment Group (40/94 vs 26/108, P=0.005) . A multivariate model analysis identified CD4/CD8 raito as independent risk factor for incidence of PTC coexisted with HT [ OR=0.035, 95% CI (0.009-0.093) , P=0.001]. The NLR level of thyroid cancer patients was correlated with lateral lymph node metastasis negatively (correlation coefficients=-0.286, P=0.045) . Conclusions:PTC might have some connection with HT mediated by body inmune status. Preoperative NLR level is correlated with lateral lymph node metastasis.