Single machine scheduling with resource allocation and learning effect considering the rate-modifying activity

This paper addresses a single machine scheduling problem in which the actual job processing times are determined by resource allocation function, its position in a sequence and a rate-modifying activity simultaneously. We discuss two objective functions with two resource allocation functions under the consideration of a rate-modifying activity. We show that the problems are solvable in O(n⁴)$O(n^4)$ time for a linear resource allocation function and are solvable in O(n²logn)$O(n^2\mathit{logn})$ time for a convex resource allocation function.     

关于余模余代数的L-R smash余积和L-R扭曲余积

由一种新方法给出了L-R smash余积的Mashke定理,并研究了L-R扭曲余积与左(右)扭曲偶的关系.     

S,S-氰戊菊酯间接竞争酶联免疫吸附分析方法研究

合成了S,S-氰戊菊酯的半抗原S-2-(4-氯苯基)-3-甲基丁酸-α-S-(N-丁酸基)-甲酰氨-(3-苯氧基)苄酯(Efvb).半抗原通过混合酸酐法与卵清蛋白(OVA)偶联作为包被抗原,活泼酯法与牛血清蛋白(BSA)偶联作为免疫抗原.用免疫抗原免疫新西兰大白兔,得到抗S,S-氰戊菊酯多克隆抗体.通过异源分析及检测条件优化,确立了间接竞争酶联免疫分析方法的最佳检测条件为pH 7.4,0.4 mol/L Na+、40％甲醇-PBS溶液,建立了S,S-氰戊菊酯酶联免疫分析方法.方法的抑制中浓度(IC50)值为(3.16±0.01)mg/L;检出限(IC10)为(0.0053±0.0012) mg/L.对甲氰菊酯、溴氰菊酯、氯氰菊酯、三氟氯氰菊酯及其代谢物戊菊酸没有明显交叉反应.在自来水、河水和土壤样品中添加S,S-氰戊菊酯,其回收率分别为82.3％～108.2％,83.1％～109.2％和72.0％～91.2％.     

对甲基苯磺酰氯柱前衍生法测定水中哌嗪

建立了一种高效液相柱前衍生化测定水中哌嗪含量的方法。选取对甲基苯磺酰氯(p-TSC)为衍生试剂对哌嗪进行衍生化,衍生产物利用液质联用(LC-MS)技术定性,高效液相色谱定量分析。方法采用Ultimate XB-C18色谱柱,以甲醇-水(体积比60:40)为流动相,流速为0.8 mL/min,检测波长为240 nm,室温下检测。实验结果表明,哌嗪的衍生化产物与过量衍生化试剂分离良好,在10～100 mg/L的范围内,哌嗪的浓度与其衍生产物峰面积呈现良好的线性关系,相关系数r>0.999。方法的检出限为0.09 mg/L,定量限为0.30 mg/L。回收率范围为88.2%～99.2%,相对标准偏差为2.5%～5.3%。通过正交反应试验确定了最佳衍生化条件:衍生温度为55℃,缓冲液pH为10.0,衍生时间10 min。     

Heterologous Expression of a <Emphasis Type="Italic">Nelumbo nucifera</Emphasis> Phytochelatin Synthase Gene Enhances Cadmium Tolerance in <Emphasis Type="Italic">Arabidopsis thaliana</Emphasis>

Phytochelatin synthase (PCS) is a key enzyme involved in the synthesis of phytochelatins, which are thought to play important roles in heavy metal detoxification. The sacred lotus (Nelumbo nucifera), one of the most popular ornamental species, has been shown to be a potential phytoremediator of heavy metal polluted water. However, the phytochelatin synthase gene in N. nucifera has not been identified yet. Here, we report the isolation and function characterization of a N. nucifera homologue of phytochelatin synthase. The sequence obtained shares a high degree of similarity with PCSs from other plant species and was named as Nelumbo nucifera phytochelatin synthase1 (NnPCS1). By using quantitative RT-PCR, we found that the expression of NnPCS1 in leaves of N. nucifera was dramatically increased in response to Cadmium (Cd) treatment. We further showed that, when exposed to Cd stress, Arabidopsis transgenic plants heterologous expressing NnPCS1 accumulated more Cd when compared with wild type. These results suggest that NnPCS1 involved in the response of N. nucifera to Cd stress and may represent a useful target gene for the phytoremediation of Cd-polluted water.     

烯唑醇免疫亲和色谱柱的制备及其在样品前处理中的应用

将四甲氧基硅烷(TMOS)水解后与烯唑醇抗体聚合,采用溶胶-凝胶法合成了烯唑醇免疫亲和色谱(IAC)柱固定相,并用其制备了对烯唑醇具有特异性亲和力的IAC柱。对IAC柱条件进行了优化,选择超纯水作为吸附与平衡介质,30%～50%(体积分数)甲醇水溶液作为洗脱剂。结果表明: 在优化条件下,IAC柱对烯唑醇的动态柱容量达125.4 μg/g。在河水样品和水果样品中添加烯唑醇,经IAC柱净化富集,洗脱液采用高效液相色谱检测,河水中烯唑醇的平均回收率为90.36%～100.14%,相对标准偏差(RSD)为2.03%～6.08%;水果中烯唑醇的平均回收率为85.55%～94.02%, RSD为3.38%～6.78%。本研究为烯唑醇在河水、水果等样品中的残留分析提供了一种新的高效前处理手段。     

等式约束优化非单调信赖域算法

设计了一个新的求解等式约束优化问题的非单调信赖域算法.该算法不需要罚函数也无需滤子.在每次迭代过程中只需求解满足下降条件的拟法向步及切向步.新算法产生的迭代步比滤子方法更易接受,计算量比单调算法小.在一般条件下,算法具有全局收敛性.     

高压与加热协同处理对牛肌肉中蛋白酶活性的影响

 在不同温度（20～60 ℃）和压力（0.1～600 MPa）下处理20 min，对牛肌肉中蛋白酶活性的影响进行了研究。结果显示：室温下，随着处理压力的增加，酶的活力显著下降，而压力达400 MPa 及以上时，酶的活力则没有明显变化，同时在pH值为3和7.5时酶的活性几乎完全丧失。200 MPa以下的压力处理使肌肉中游离氨基酸总量显著上升，压力继续升高，游离氨基酸含量增加的幅度随之降低。400 MPa及以上压力处理使胰蛋白酶对蛋白质的消化性增强。在40 ℃温度、200 MPa压力下的处理，酶的活性没有明显下降，氨基酸总量也未发生明显变化。随着压力的升高酶的活性逐渐丧失，600 MPa时，酶在pH值为7.5时几乎完全失活，氨基酸总量急剧下降。60 ℃温度下，部分酶仍具有一定活力，200 MPa没有造成酶活力的明显变化，然而游离氨基酸的含量则显著增加。600 MPa压力下几乎使所有酶丧失活力，游离氨基酸的含量也明显降低。40~60 ℃温度下的压力处理，胰蛋白酶对蛋白质的降解作用表现出相同的规律，200 MPa时与对应的处理温度相比没有明显变化，600 MPa时显著提高。实验结果显示，高压和温度结合处理能调节蛋白酶的活性，提高肉类品质。     

Integral Modular Categories of Frobenius-Perron Dimension <Emphasis Type="Italic">pq</Emphasis><Superscript><Emphasis Type="Italic">n</Emphasis></Superscript>

Integral modular categories of Frobenius-Perron dimension pq ⁿ , where p and q are primes, are considered. It is already known that such categories are group-theoretical in the cases of 0 ≤ n ≤ 4. In the general case we determine that these categories are either group-theoretical or contain a Tannakian subcategory of dimension q ⁱ for i > 1. We then show that all integral modular categories \(\mathcal {C}\) with \(\text {FPdim}(\mathcal {C})=pq^{5}\) are group-theoretical, and, if in addition p < q, all with \(\text {FPdim}(\mathcal {C})=pq^{6}\) or pq ⁷ are group-theoretical. In the process we generalize an existing criterion for an integral modular category to be group-theoretical.     

Competitive and noncompetitive phage immunoassays for the determination of benzothiostrobin

Twenty-three phage-displayed peptides that specifically bind to an anti-benzothiostrobin monoclonal antibody (mAb) in the absence or presence of benzothiostrobin were isolated from a cyclic 8-residue peptide phage library. Competitive and noncompetitive phage enzyme linked immunosorbent assays (ELISAs) for benzothiostrobin were developed by using a clone C3-3 specific to the benzothiostrobin-free mAb and a clone N6-18 specific to the benzothiostrobin immunocomplex, respectively. Under the optimal conditions, the half maximal inhibition concentration (IC₅₀) of the competitive phage ELISA and the concentration of analyte producing 50% saturation of the signal (SC₅₀) of the noncompetitive phage ELISA for benzothiostrobin were 0.94 and 2.27 ng mL⁻¹, respectively. The noncompetitive phage ELISA showed higher selectivity compared to the competitive. Recoveries of the competitive and the noncompetitive phage ELISAs for benzothiostrobin in cucumber, tomato, pear and rice samples were 67.6–119.6% and 70.4–125.0%, respectively. The amounts of benzothiostrobin in the containing incurred residues samples detected by the two types of phage ELISAs were significantly correlated with that detected by high-performance liquid chromatography (HPLC).