A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

Algorithms based on deep neural networks (DNNs) have attracted increasing attention from the scientific computing community. DNN based algorithms are easy to implement, natural for nonlinear problems, and have shown great potential to overcome the curse of dimensionality. In this work, we utilize the multi-scale DNN-based algorithm (MscaleDNN) proposed by Liu, Cai and Xu (2020) to solve multi-scale elliptic problems with possible nonlinearity, for example, the p-Laplacian problem. We improve the MscaleDNN algorithm by a smooth and localized activation function. Several numerical examples of multi-scale elliptic problems with separable or non-separable scales in low-dimensional and high-dimensional Euclidean spaces are used to demonstrate the effectiveness and accuracy of the MscaleDNN numerical scheme.     

m6A结合蛋白IGF2BP1在肝细胞癌中的基因调控网络分析

目的 分析m6A阅读器胰岛素样生长因子2-mRNA结合蛋白1（insulin-like growth factor 2 mRNA-binding protein 1，IGF2BP1）在肝细胞癌（hepatocellular carcinoma，HCC）中的表达水平及其对HCC患者预后的影响，并探讨IGF2BP1在HCC发生发展中的作用及其潜在机制。方法 基于5对HCC癌及相应癌旁组织mRNA-seq数据和TCGA数据库LIHC的mRNA-seq数据综合分析IGF2BP1在HCC中的表达情况，同时利用TCGA数据库中343例HCC患者的临床随访资料分析IGF2BP1表达水平对HCC患者总生存期的影响。基于TCGA数据库筛选IGF2BP1的共表达mRNA，并利用m6Avar在线网站预测mRNA的m6A位点及其RNA结合蛋白等信息，最终构建IGF2BP1的基因调控网络。结果 IGF2BP1基因在HCC中表达上调（log2FC HCC转录组数据=10.684，P<0.001；log2FC TCGA-LIHC数据集=7.032，P<0.001）。生存分析显示IGF2BP1低表达的HCC患者中位生存时间为5.84年，IGF2BP1高表达患者为4.44年，高表达患者总生存期缩短（P=0.011）。22个差异表达的mRNA与IGF2BP1存在靶向结合关系，并与其表达水平呈正相关。其中，HMGA2等15个高表达mRNA的HCC患者总生存期缩短。HMGA2、PEG10、CEP55、RHO、CDC6和KIF23基因中的潜在m6A甲基化位点位于mRNA 3'UTR端的miRNA结合区域。结论 IGF2BP1在HCC中高表达且导致患者总生存期缩短。IGF2BP1可能通过m6A甲基化及miRNA抑制作用的方式上调mRNA的表达，促进HCC发生并导致不良预后。     

华细辛和北细辛HPLC特征图谱识别与抗炎靶点及抗炎成分分析

建立华细辛和北细辛HPLC特征图谱并结合聚类分析研究2种来源细辛的识别方法;应用网络药理学方法预测细辛潜在抗炎靶点并寻找潜在抗炎成分。对89批细辛药材(12批华细辛和77批北细辛)的数据进行分析确定了11个特征峰,用对照品、紫外光谱和LC-MS指认了11个特征成分。特征峰面积聚类分析显示华细辛和北细辛被分为2类,且利用特征峰面积比值可实现两者区分,当特征峰9(细辛素)/参照峰S(卡枯醇)峰面积比值大于5时为华细辛,小于2时为北细辛。对119种细辛成分进行网络药理学分析的结果表明细辛抗炎作用可能与COX-2,COX-1,iNOS,MAPK14,LAT4H,NR3C1,PPARG和TNF等8个靶点相关,其中COX-2最为关键,与5种特征成分细辛脂素、芝麻脂素、细辛素、甲基丁香酚和黄樟醚均存在相互作用。此外,细辛脂素、芝麻脂素与iNOS,MAPK14也存在相互作用关系,黄樟醚和细辛素可作用于iNOS,COX-1,LAT4H,甲基丁香酚可作用于COX-1,LAT4H。细辛脂素与芝麻脂素均可作用在COX-2,iNOS和MAPK143个靶点上,提示它们是细辛发挥抗炎作用的活性成分;COX-2分子对接结果和COX-2活性实验结果验证了细辛脂素、芝麻脂素可抑制COX-2活性,为细辛抗炎作用活性成分。基于HPLC特征图谱的华细辛和北细辛识别方法简便易行;预测到的细辛抗炎靶点和抗炎成分为完善细辛质量评价体系奠定了基础。     

AXL表达与乳腺癌预后及临床病理特征关系的Meta分析

目的 探讨受体酪氨酸激酶AXL蛋白的表达对乳腺癌患者预后及临床病理特征的意义。方法 在中国知网(CNKI)、万方医学网(Wanfang Data)、 Cochrane Library、Embase、PubMed和Medline数据库中,搜索国内外公开发表的有关AXL与乳腺癌预后关系的文献,检索时限均为从建库至2019年10月。2位研究者按纳入和排除标准独立筛选文献、提取资料和评价纳入研究的偏倚风险,并进行Meta分析。结果 共纳入7篇文献,包括933例乳腺癌患者。AXL高表达组的乳腺癌患者总生存期(overall survival,OS)明显低于低表达组(HR=2.36,95%CI 1.60~3.46,P<0.000 1),但其表达在无复发生存期(relapse free survival,RFS)和无疾病生存期(disease free survival,DFS)中差异无统计学意义,且与乳腺癌的年龄、临床分期、组织分级、淋巴结转移及受体表达的相关性分析无统计学意义。结论 AXL的阳性表达与乳腺癌患者预后不良有关,是乳腺癌个体化治疗的潜在分子标志物。     

A review of the effectiveness of aspartame in helping with weight control

Summary Strategies to reverse the upward trend in obesity rates need to focus on both reducing energy intake and increasing energy expenditure. The provision of low‐ or reduced‐energy‐dense foods is one way of helping people to reduce their energy intake and so enable weight maintenance or weight loss to occur. The use of intense sweeteners as a substitute for sucrose potentially offers one way of helping people to reduce the energy density of their diet without any loss of palatability. This report reviews the evidence for the effect of aspartame on weight loss, weight maintenance and energy intakes in adults and addresses the question of how much energy is compensated for and whether the use of aspartame‐sweetened foods and drinks is an effective way to lose weight. All studies which examined the effect of substituting sugar with either aspartame alone or aspartame in combination with other intense sweeteners on energy intake or bodyweight were identified. Studies which were not randomised controlled trials in healthy adults and which did not measure energy intakes for at least 24 h (for those with energy intakes as an outcome measure) were excluded from the analysis. A minimum of 24‐h energy intake data was set as the cut‐off to ensure that the full extent of any compensatory effects was seen. A total of 16 studies were included in the analysis. Of these 16 studies, 15 had energy intake as an outcome measure. The studies which used soft drinks as the vehicle for aspartame used between 500 and about 2000 ml which is equivalent to about two to six cans or bottles of soft drinks every day. A significant reduction in energy intakes was seen with aspartame compared with all types of control except when aspartame was compared with non‐sucrose controls such as water. The most relevant comparisons are the parallel design studies which compare the effects of aspartame with sucrose. These had an overall effect size of 0.4 standardised difference (SD). This corresponds to a mean reduction of about 10% of energy intake. At an average energy intake of 9.3 MJ/day (average of adult men and women aged 19–50 years) this is a deficit of 0.93 MJ/day (222 kcal/day or 1560 kcal/week), which would be predicted (using an energy value for obese tissue of 7500 kcal/kg) to result in a weight loss of around 0.2 kg/week with a confidence interval 50% either side of this estimate. Information on the extent of compensation was available for 12 of the 15 studies. The weighted average of these figures was 32%. Compensation is likely to vary with a number of factors such as the size of the caloric deficit, the type of food or drink manipulated, and timescale. An estimate of the amount of compensation with soft drinks was calculated from the four studies which used soft drinks only as the vehicle. A weighted average of these figures was 15.5%. A significant reduction in weight was seen. The combined effect figure of 0.2 SD is a conservative figure as it excludes comparisons where the controls gained weight because of their high‐sucrose diet and the long‐term follow‐up data in which the aspartame groups regained less weight than the control group. An effect of 0.2 SD corresponds to about a 3% reduction in bodyweight (2.3 kg for an adult weighing 75 kg). Given the weighted average study length was 12 weeks, this gives an estimated rate of weight loss of around 0.2 kg/week for a 75‐kg adult. The meta‐analyses demonstrate that using foods and drinks sweetened with aspartame instead of sucrose results in a significant reduction in both energy intakes and bodyweight. Meta‐analyses both of energy intake and of weight loss produced an estimated rate of weight loss of about 0.2 kg/week. This close agreement between the figure calculated from reductions in energy intake and actual measures of weight loss gives confidence that this is a true effect. The two meta‐analyses used different sets of studies with widely differing designs and controls. Although this makes comparisons between them difficult, it suggests that the final figure of around 0.2 kg/week is robust and is applicable to the variety of ways aspartame‐containing foods are used by consumers. This review has shown that using foods and drinks sweetened with aspartame instead of those sweetened with sucrose is an effective way to maintain and lose weight without reducing the palatability of the diet. The decrease in energy intakes and the rate of weight loss that can reasonably be achieved is low but meaningful and, on a population basis, more than sufficient to counteract the current average rate of weight gain of around 0.007 kg/week. On an individual basis, it provides a useful adjunct to other weight loss regimes. Some compensation for the substituted energy does occur but this is only about one‐third of the energy replaced and is probably less when using soft drinks sweetened with aspartame. Nevertheless, these compensation values are derived from short‐term studies. More data are needed over the longer term to determine whether a tolerance to the effects is acquired. To achieve the average rate of weight loss seen in these studies of 0.2 kg/week will require around a 220‐kcal (0.93 MJ) deficit per day based on an energy value for obese tissue of 7500 kcal/kg. Assuming the higher rate of compensation (32%), this would require the substitution of around 330 kcal/day (1.4 MJ/day) from sucrose with aspartame (which is equivalent to around 88 g of sucrose). Using the lower estimated rate of compensation for soft drinks alone (15.5%) would require the substitution of about 260 kcal/day (1.1 MJ/day) from sucrose with aspartame. This is equivalent to 70 g of sucrose or about two cans of soft drinks every day.