有红利美式看跌期权定价的Crank-Nicolson有限差分法

本文基于B-S微分方程,采用Crank-Nicolson差分格式(简称C-N差分格式)求解支付固定红利的美式看跌期权价值,给出实证分析,并对C-N差分格式和隐含的差分格式进行了比较.结果表明,用C-N差分格式可以得到更加精确、有效的数值解.     

Discovery of Novel Pleuromutilin Derivatives as Potent Antibacterial Agents for the Treatment of MRSA Infection

A series of novel pleuromutilin derivatives containing nitrogen groups on the side chain of C14 were synthesized under mild conditions. Most of the synthesized derivatives displayed potent antibacterial activities. Compound 9 was found to be the most active antibacterial derivative against MRSA (MIC = 0.06 μg/mL). Furthermore, the result of time-kill curves showed that compound 9 had a certain inhibitory effect against MRSA in vitro. Moreover, according to a surface plasmon resonance (SPR) study, compound 9 (K_D = 1.77 × 10⁻⁸ M) showed stronger affinity to the 50S ribosome than tiamulin (K_D = 2.50 × 10⁻⁸ M). The antibacterial activity of compound 9 was further evaluated in an MRSA-infected murine thigh model. Compared to the negative control group, tiamulin reduced MRSA load (~0.7 log₁₀ CFU/mL), and compound 9 performed a treatment effect (~1.3 log₁₀ CFU/mL). In addition, compound 9 was evaluated in CYP450 inhibition assay and showed only moderate in vitro CYP3A4 inhibition (IC₅₀ = 2.92 μg/mL).     

三元层状MAX相固溶体研究进展

MAX相是一类具有层状结构的三元碳化物或(和)氮化物,M是过渡金属元素,A主要是ⅢA~ⅤA族元素,X是C或N元素。这类化合物兼具陶瓷材料和金属材料的特点,具有优异的导电、导热、耐腐蚀以及抗氧化等性能,在诸多领域具有潜在应用价值。近年来,新元素、新结构和固溶体MAX相的不断出现,进一步扩展了MAX相家族。固溶体MAX相是将合适的元素固溶到已知MAX相中而得到的新MAX相。本文分四类总结了127种MAX相固溶体,对其结构改变和性能调控进行了概括,并指出目前研究存在的理论问题和亟须解决的关键技术,最后对MAX相固溶体的发展进行了预测和展望。     

Modeling Geometric State for Fluids in Porous Media: Evolution of the Euler Characteristic

Multiphase flow in porous media is strongly influenced by the pore-scale arrangement of fluids. Reservoir-scale constitutive relationships capture these effects in a phenomenological way, relying only on fluid saturation to characterize the macroscopic behavior. Working toward a more rigorous framework, we make use of the fact that the momentary state of such a system is uniquely characterized by the geometry of the pore-scale fluid distribution. We consider how fluids evolve as they undergo topological changes induced by pore-scale displacement events. Changes to the topology of an object are fundamentally discrete events. We describe how discontinuities arise, characterize the possible topological transformations and analyze the associated source terms based on geometric evolution equations. Geometric evolution is shown to be hierarchical in nature, with a topological source term that constrains how a structure can evolve with time. The challenge associated with predicting topological changes is addressed by constructing a universal geometric state function that predicts the possible states based on a non-dimensional relationship with two degrees of freedom. The approach is validated using fluid configurations from both capillary and viscous regimes in ten different porous media with porosity between 0.10 and 0.38. We show that the non-dimensional relationship is independent of both the material type and flow regime. We demonstrate that the state function can be used to predict history-dependent behavior associated with the evolution of the Euler characteristic during two-fluid flow.

     

Numerical Modeling of Momentum Dispersion in Porous Media Based on the Pore Scale Prevalence Hypothesis

Transport in Porous Media - A macroscopic model that accounts for the effect of momentum dispersion on flows in porous media is proposed. The model is based on the pore scale prevalence hypothesis...     

On the Interfacial Flow Over Porous Media Composed of Packed Spheres: Part 1-Identification of the Effective Slip Length

Transport in Porous Media - The effective slip length at the interface between pure fluid flow and porous media composed of packed spheres has been accurately characterized. In this study, as the...     

Chaos in a tethered satellite system induced by atmospheric drag and Earth’s oblateness

Nonlinear Dynamics - This paper describes the chaos behavior of an in-plane tethered satellite system induced by atmospheric drag and the Earth’s oblateness. A commonly used model, the...     

Novel stability condition for delayed fractional-order composite systems based on vector Lyapunov function

Nonlinear Dynamics - This paper proposes a novel stability condition for delayed fractional-order composite systems. First, we extend the vector Lyapunov function to the fractional-order systems to...     

丙烯酸盐喷膜防水材料在酸碱浸润和冻融循环条件下的耐久性试验分析

丙烯酸盐喷膜防水材料在酸碱溶液浸润和冻融条件下的耐久性能是该类材料在工程应用中较难回避的实际问题,论文采用酸性介质(0.2%的H2SO4溶液)和碱性介质(0.1%NaOH+饱和Ca(OH)2溶液)对该材料进行饱和浸泡并进行冻融循环后,研究了该材料的吸水性、断裂拉伸强度和拉断伸长率的变化规律。试验结果表明:喷膜防水材料在侵蚀-冻融循环作用下,其拉断伸长率和断裂拉伸强度显著降低,且酸性介质对材料拉伸性能的影响较大;材料耐低温冰冻能力较强,耐高温能力较差。反映出丙烯酸盐喷膜防水材料在低温冰冻和碱性介质中耐久性较好,不建议在高温和酸性介质条件下使用。     

2,4-二硝基氟苯柱前衍生测定山黧豆毒素β-ODAP

利用2,4-二硝基氟苯为柱前衍生试剂,建立了测定山黧豆中毒素β-Ν-草酰基-L-α,β-二氨基丙酸(简称-βODAP)及其无毒性的异构体α-N-草酰基-L-α,β-二氨基丙酸(简称α-ODAP)的恒组分洗脱高效液相色谱方法。利用固相萃取进行样品预处理并优化了流动相的pH值,利用Hyperchem和Gaussian 98优化得到二者的空间结构并计算了它们的极性,从理论上解释了两个异构体的色谱行为。最佳色谱条件是固定相C18,5μm,15 mm×4.6 mm,流动相为25 mmol/L KH2PO4/乙腈,(90∶10,V/V),流速为0.8 mL/m in,室温,测定了特定条件下山黧豆成长过程中两个异构体的含量。