O2-2,4-二硝基苯基偶氮二醇盐类化合物的设计、合成及抗肿瘤活性

以O2-2,4-二硝基苯基偶氮二醇盐(PABA/NO)为先导化合物,选择适当的仲胺作为偶氮二醇盐中相应的胺片段,并用碳氮键取代苯环5位的碳氧酯键,设计合成了化合物2a,2b和4a~4j,以期获得活性更强且稳定性好的抗肿瘤药物.目标化合物经1H NMR,13C NMR及HRMS进行了结构确证.生物活性测试结果表明,目标化合物可不同程度地抑制结肠癌HCT-116细胞的增殖,其中化合物4h的活性最强(IC50=7.945±0.421 μmol/L),优于PABA/NO(IC50=12.134±0.675 μmol/L).NO释放实验结果表明,此类化合物的NO释放量与细胞毒性呈正相关.化合物4h在HCT-116细胞中释放NO的量最多,约是正常细胞的2倍.此外,化合物4h在大鼠血浆中的体外稳定性显著优于PABA/NO,值得进一步研究.     

带有相依重尾冲击的Poisson噪音过程尾的一致渐近性质

本文考虑了带有某种相依重尾冲击的Poisson噪音过程尾的一致渐近性质.当冲击是二元上尾渐近独立的非负随机变量具有长尾和控制变化尾分布且噪音函数具有正的上下界时,得到了过程尾概率的一致渐近公式.进而,当冲击具有连续的一致变化尾分布时,去除了噪音函数具有正的下界的限制.对于噪音函数不一定具有正的上界的情形,当冲击具有两两负象限相依结构时,也得到了一致渐近性结果.     

含酮基团对煤焦异相还原NO的影响

基于量子化学密度泛函理论和过渡态理论研究了含酮基团对煤焦异相还原NO的影响及其产物发生氧脱附的微观反应机理。计算结果表明，NO更易于吸附在含酮基团煤焦表面。椅形含酮基团强化了煤焦异相还原NO；锯齿形含酮煤焦表面与NO异相反应决速步能垒值（495.45 kJ/mol）大于锯齿形纯碳基煤焦表面与NO决速步能垒值（331.32 kJ/mol），基于锯齿形含酮煤焦模型中的氧浓度不在利于NO还原的范围内而不易于NO的还原。中间产物P1在无CO存在情况下，较纯碳基煤焦表面更易于发生氧脱附而产生表面缺陷；在CO存在条件下，含酮煤焦表面为氧脱附过程提供自由活性位点，降低了过程能垒消耗。     

原子荧光光谱法测定皮革中9种重金属元素的含量

皮革样品经硝酸-高氯酸（4+1）混合酸湿法消解后,用氢化物发生-原子荧光光谱法测定其中砷、锑、汞、铅和镉的含量;样品经干法灰化后,用火焰原子荧光光谱法测定其中铬、钴、铜和镍的含量。对各元素的稀释介质、还原剂和仪器工作条件作了详细的叙述。9种元素的质量浓度与吸光度分别在一定的范围内呈线性关系;砷、锑、铅、钴和镍的检出限（3S/N）为0.5 mg·kg^-1,汞、镉和铜的检出限（3S/N）为0.05 mg·kg^-1,铬的检出限（3S/N）为5.0 mg·kg^-1。应用此法分析了皮革样品,以标准加入法做回收试验,回收率在89.2%～106%之间。     

巧用线性规划解题三例

由于线性规划沟通了数与形之间的有机联系,这就为把线性规划知识演化成线性规划方法提供了肥沃的土壤,也为线性规划方法展示了广阔的应用前景。因此,对于线性规划来说,不能只局限在线性规划问题的应用之中,还必须努力跨越数学分支间的“鸿沟”,变通“线性规划”的使用范围,扩大用“线性规划”来解题的效益,使“线性规划”在横向联系中求发...     

秦九韶算法的教学价值

人教A版<数学3>介绍了秦九韶算法:n次多项式f(x)=anxn+an-1xn-1+…+a1x+a0. 当x=x0时,令v0=an,通过公式{v0=an,vk=vk-1x0=an-k(k=1,2,…,n)可求出f(x0)的值为vn. 它是我国古代数学中的著名算法,本文将从三个方面介绍该算法的教学价值.     

On decentralized stabilization of linear large scale systems with symmetric circulant structure

The decentralized stabilization of continuous and discrete linear large scale systems with symmetric circulant structure was studied. A few sufficient conditions on decentralized stabilization of such systems were proposed. For the continuous systems, by introducing a concept called the magnitude of interconnected structure, a very important property that the decentralized stabilization of such systems is fully determined by the structure of each isolated subsystem that is obtained when the magnitude of interconnected structure of the overall system is given. So the decentralized stabilization of such systems can be got by only appropriately designing or modifying the structure of each isolated subsystem, no matter how complicated the interconnected structure of the overall system is. A algorithm for obtaining decentralized state feedback to stabilize the overall system is given. The discrete systems were also discussed. The results show that there is a great dfference on decentralized stabilization between continuous case and discrete case.     

小型撬装式BOG再液化装置的研发及性能测试

以最新研制的大功率回热式脉管制冷机为核心,建立了一台小型撬装式BOG(Boiled off Gas)再液化实验装置。与传统的BOG再液化装置相比,该装置具有结构紧凑、操作简单、经济效益好等优点。通过测试实验,0.4MPa时,在9400W的电机功率下,该装置制冷功率达到267W@86K;对制冷机冷头和冷屏进行改进后,在8450W的电机功率下,该装置在0.3MPa时的制冷功率达到430W@83K。实验结果表明:对制冷机冷头和冷屏进行优化后,装置的有效制冷功率大幅提高。     

例说建立递推关系式解题

在解某些数学问题时,若能根据问题的实质和特征,建立递推关系式,就会使问题很巧妙地得到解决.下面举例说明,供读者参考.     

Hydrodynamics of passing-over motion during binary droplet collision in shear flow

A combined experimental and numerical study is undertaken to investigate the hydrodynamic characteristics of single-phase droplet collision in a shear flow. The passing-over motion of interactive droplets is observed, and the underlying hydrodynamic mechanisms are elucidated by the analysis of the motion trajectory, transient droplet deformation and detailed hydrodynamic information (e.g., pressure and flow fields). The results indicate that the hydrodynamic interaction process under shear could be divided into three stages: approaching, colliding, and separating. With the increasing confinement, the interaction time for the passing-over process is shorter and the droplet processes one higher curvature tip and more stretched profile. Furthermore, the lateral separation Δy/R₁ exhibits larger decrease in the approaching stage and the thickness of the lubrication film is decreased during the interaction. As the initial lateral separation increases, the maximum trajectory shift by the collision interaction is getting smaller. During the collision between two droplets with different sizes, the amplitude of the deformation oscillation of the larger droplet is decreased by reducing the size ratio of the smaller droplet to the bigger one.