八元瓜环对氯化矢车菊素溶解性、稳定性及抗氧化性的影响

采用核磁共振氢谱(¹H NMR)、 红外光谱及紫外吸收光谱等方法考察了八元瓜环(Q[8])对氯化矢车菊素(Cy)的包结作用. 结果表明, 在pH=0.8的盐酸介质中, Q[8]可与Cy形成摩尔比为1:1的主客体配合物, 紫外吸收光谱法测得的主-客体结合常数为1.51×10⁶ . 相溶解度研究结果表明, Q[8]能使饱和Cy溶液的溶解度增大, 当Q[8]浓度为100 μmol/L时, 可使Cy的溶解度增大12.21倍. 紫外吸收光谱随时间变化结果表明, 在较为稳定存在形态及相同实验条件下, Q[8]/Cy溶液比Cy溶液的稳定性提高了2.58倍. 抗氧化性实验结果表明, Q[8]/Cy包合物和Cy均表现出较好的抗氧化活性.     

A general stability result for the semilinear viscoelastic wave model under localized effects

Our main goal in the present work is to address an integro-differential model under localized viscoelastic and frictional effects arising in the Boltzmann theory of viscoelasticity. More precisely, we consider a general version in the history context of the pioneer localized viscoelastic problem approached by Cavalcanti and Oquendo (2003) in the null history scenario, and more recently by Cavalcanti et al. (2018) in the history framework. By means of a new observability inequality, we prove a general stability result to the model under a weaker assumption on the localized frictional damping and a slower condition on the decreasing memory kernel (of polynomial type) than the previously mentioned works. To achieve such stability results, we still work in a general setting by removing the assumption on complementary damping mechanisms and show, in some reasonable situations concerning the density coefficient, that the localized viscoelastic effect is enough to ensure the general stability (of polynomial type) to the problem.     

Modeling Influence of Raltegravir Intensification on Viral Dynamics: Stability and Hopf Bifurcation

In this paper, we propose an ordinary differential equation model with logistic target cell growth to describe influence of raltegravir intensifi- cation on viral dynamics. The basic reproduction number R 0 is established. The infection-free equilibrium E 0 is globally attractive if R 0 < 1, while virus is uniformly persistent if R 0 > 0. In addition, we find that Hopf bifurcation can occur at around the positive equilibrium within certain parameter ranges. Numerical simulations are performed to illustrate theoretical results.     

Estimates for Divergence Velocities of Axially Moving Orthotropic Thin Plates

Some models for axially moving orthotropic thin plates are investigated analytically via methods of complex analysis to derive estimates for critical plate velocities. The linearized Kirchhoff plate theory is used, and the energy forms of steady-state models are considered with homogeneous and inhomogeneous tension profiles in the cross direction of the plate. With the help of the energy forms, some limits for the divergence velocity of the plate are found analytically. In numerical examples, the derived lower limits for the divergence velocity are analyzed for plates with small flexural rigidity.     

o-C8 Carbon: a New Allotrope of Superhard Carbon

An orthonormal crystal of carbon with PMMA space group (o-C₈) was found to be a stable superhard carbon allotrope by particle swarm optimization algorithm and density functional calculations. The phonon spectrum calculations demonstrate that the o-C₈ carbon phase is dynamically stable. The volume compression calculations show that it is highly incompressible, with bulk modulus of 298.6 GPa. The calculations demonstrate that it is a low-density superhard material with density of 2.993 g/cm³ and Vickers hardness of 82.4 GPa.