Vicious random walkers in the limit of a large number of walkers

The vicious random walker problem on a line is studied in the limit of a large number of walkers. The multidimensional integral representing the probability that thep walkers will survive a timet (denotedP _t ^(p) ) is shown to be analogous to the partition function of a particular one-component Coulomb gas. By assuming the existence of the thermodynamic limit for the Coulomb gas, one can deduce asymptotic formulas forP _t ^(p) in the large-p, large-t limit. A straightforward analysis gives rigorous asymptotic formulas for the probability that after a timet the walkers are in their initial configuration (this event is termed a reunion). Consequently, asymptotic formulas for the conditional probability of a reunion, given that all walkers survive, are derived. Also, an asymptotic formula for the conditional probability density that any walker will arrive at a particular point in timet, given that allp walkers survive, is calculated in the limittp.     

燮理阴阳胶囊的制备与质量标准研究

为研制燮理阴阳胶囊生产工艺,并建立相应的质量标准,采用正交实验法进行了工艺研究,采用薄层色谱法进行了鉴定,确立了水煎提取的工艺条件,建立了知母、熟地黄、淫羊藿的鉴别方法。该制剂的制备工艺简单易行,质量检定方法可行,质量稳定。     

超细Sr2CeO4 粉体微乳液-高温法制备条件的正交试验及其发光性能研究

本文首先利用正交试验确定了微乳液-高温法合成蓝色发光Sr₂CeO₄超细粉体的最佳制备条件。接着研究了最佳条件下制备的Sr₂CeO₄超细粉体的性能。场发射扫描电镜(FE-SEM)显示，在850 ℃、900 ℃、1 000 ℃或者更高温度下退火4 h制备的粉体的形状分别呈球状、梭状和球状，平均粒径分别在100 nm左右和1 μm以内。X射线粉末衍射数据分析表明，该超细粉体属于正交晶系。室温下的光致发光光谱显示，该粉体的激发光谱有3个激发峰，主峰分别位于262 nm、281 nm和341 nm，而其发射光谱只呈现出1个发射峰，主峰位于约470 nm。与高温固相制备方法相比，微乳液-高温法可以在较低温度下制备出超细的粉体，而且它不但在262 nm处出现了一个新的激发峰，主激发峰和发射峰的位置也分别蓝移了大约30 nm和12 nm。     

正交试验法优化CS汽化吸附条件

通过正交试验设计,优化了影响西埃斯(CS)标准样品管制备的参数:汽化温度、采样流速、采样时间。结果表明,CS标准样品管的最佳吸附条件为汽化吸附温度:260℃,采样N2流速:330mL/min,采样时间:15min。在15~1500ng范围内,色谱峰面积与进样量有良好的线性关系,线性相关系数为0.9995,检出限为6.0ng。     

利用偏钛酸浆料制备大比表面纳米管钛酸工艺的研究

以偏钛酸浆料为原料通过水热法合成了纳米管钛酸,并采用TEM,比表面积测定仪等分析手段观察其形貌和管径大小,测定了其比表面积和孔体积.同时运用正交实验法考察了反应温度、反应时间对纳米管钛酸比表面积和孔体积的影响.实验结果表明,所制备的纳米管钛酸平均比表面积高达 340m2 /g,最佳的制备工艺是:工业碱NaOH的质量分数为 25. 7 %、偏钛酸浆料的质量分数为 17. 1 %、后处理酸度为pH=1、反应温度为 120℃、反应时间为 20h.     

辣根过氧化物酶反应的化学动力学分析

用辣根过氧化物酶来处理废水中的苯酚和氯酚为许多人所关注。采用停流快速混合技术，利用快速扫描紫外可见分光光度计得到辣根过氧化物酶催化过氧化氢氧化苯酚聚合过程的瞬态光谱数据。对此测量数据矩阵用正交投影及遗传算法解析后，确定体系中产生紫外吸收的物种数，及辣根过氧化物酶中间体形式的纯光谱信息，进而解出反应过程中各组分的动力学曲线。     

2,4-二甲氧基苯甲酰氯的合成

2,4-二羟基苯甲酸与硫酸二甲酯经甲基化反应得到2,4-二甲氧基苯甲酸(3);3与SOCl2发生氯化反应合成了2,4-二甲氧基苯甲酰氯(4)。较佳的氯化反应条件为:325mmol,苯70mL,AlCl3250mg,回流反应1.5h,重结晶溶剂为石油醚(90℃～120℃),总产率达74.1%。2～4的结构经1HNMR和FT-IR表征。     

Metabolomic-based investigation of Yinlan alleviating hyperlipidemia by inhibiting blood stasis and phlegm turbidity through the PXR-CYP3A4-ABCB1-FXR pathway

Yinlan lipid regulatory capsule (YL) is a composite traditional Chinese medicine (TCM) new drug to alleviate hyperlipidemia, while its therapeutic mechanism in vivo was not clarified with nontargeted metabolomics investigation. An animal model was established in rats fed a high-fat diet, and their body weights, body mass index (BMI) and blood cholesterol levels were measured. Serum, liver and kidney tissue samples were also extracted for PXR-CYP3A4-ABCB1-FXR signaling pathway research using PCR and UHPLC–MS. The obtained plasma samples were analyzed by UHPLC-Q-TOF-MS metabolomic investigation, which revealed PXR-CYP3A4-related metabolites and changes induced by YL. Finally, the key metabolites were chosen as index components, and their levels in the serum, liver, small intestine and bile were used for simultaneous UHPLC–MS-MS determination. The results indicated that YL was effective in rebalancing blood TG and TC levels (compared to controls). With respect to the PXR-CYP3A4-ABCB1 pathway, as a result of YL’s effect, gene expression or activity of the two targets decreased significantly in both the liver and kidney. The same trend was observed in the serum samples mentioned above. Metabolomics screening and data revealed that 44 metabolites can be regarded as biomarkers related to hyperlipidemia, fatty acids synthesis, and body energy consumption, as well as synthesis, transportation and exertion of cholesterol. YL’s treatment focused on 26 of them, primarily bile acids, indicating that the antihyperlipidemic effect of this drug lies in its inhibitory activity of cholesterol metabolism. Subsequent analysis of those in vivo components revealed that significant increases (compared to the model group) occurred in the blood, liver, small intestine and bile in groups that received medium and high doses of YL (while the low dose was relatively unchanged). Those target components exhibit a close relationship with PXR and/or CYP3A4. The use of YL repressed PXR expression and subsequently decreased CYP3A4 activity. As a result, synthesis of related bile acids increased, while cholesterol levels decreased, consequently leading to the attenuation of hyperlipidemia. This study comprehensively investigated the antihyperlipidemia mechanism of YL based on its repression of PXR-CYP3A4 activity and related metabolite yield, establishing an accurate method for evaluating the therapeutic effect of YL.     

模糊正交法用于石墨炉探针原子化测定铋条件的研究

模糊正交法是通过把正交试验结果模糊化,然后用模糊数学的理论和方法来处理实验数据。与常规正交设计相比,能在同样实验工作量的情况下获得更多的信息。本文采用模糊正交法对元素Bi的测定条件进行优化,并将其同常规正交设计方差分析的结果进行了比较,并提出一个综合评价参数,对建立的分析方法进行了综合评价。     

松香改性酚醛环氧树脂的合成与表征

以松香,环氧氯丙烷,甲醛及苯酚等为主要原料,合成了一种新型的环氧树脂。通过正交实验法确定了环氧化反应的最佳实验条件,即环氧化温度90℃,碱用量13 g,催化剂为cat 1,其最佳用量为0.018 mol,环氧氯丙烷的用量为50 g,碱浓度为30%(以上数值均以松香用量为70 g时计)。在最佳实验条件下合成得到了松香改性酚醛环氧树脂(简称RAPE),并用HPLC、FT-IR、NMR对其进行结构表征。结果表明,得到的RAPE其环氧值为0.28 mol/100g,平均聚合度约为3.4,酚羟基和树脂酸上的羧基基本反应完全,得到一种新型的缩水甘油醚型和缩水甘油酯型的环氧树脂。