New understanding of aconitine hydrolysis pathway: Isolation,identification and toxicity evaluation based on intermediate products

Aconitine hydrolysis is deemed to be the guarantee for the safe application of Aconitum phytomedicine. Studies have suggested that hydrolysates of aconitine not only include benzoylaconitine and aconine, but other hydrolysates. Moreover, these hydrolysates maybe have a mutual transformation relationship, which has not been confirmed. Herein, hydrolysates of aconitine and their mutual transformation relationship were studied by the theoretical quantum chemistry, UPLC-Q-TOF-MS, the separation and identification of target products, etc. Then the toxicity of its hydrolysates was evaluated. The results demonstrate that the probability is the same for aconitine hydrolysis to pyroaconitine and benzoylaconitine, but they are difficult to convert to each other. Aconitine hydrolysis has three independent hydrolysis pathways, 1) to indaconitine, 2) to benzoylaconitine, and aconine, 3) to pyroaconitine and to 16-epi-pyroaconine. The result of embryotoxicity evaluation on zebrafish was aconitine > indaconitine > benzoylaconitine > α-pyroaconitine > β- pyroaconitine > aconine > 16-epi-pyroaconine. In conclusion, aconitine have three independent hydrolysis pathways and the hydrolysates of different pathways cannot be transformed into each other. Pyroaconitine is a hydrolysate of aconitine except for benzoylaconitine, and its toxicity is lower than benzoylaconitine. More importantly, it clarifies the long-standing debate and provides scientific evidence for the processing and detoxification of Aconitum phytomedicine.     

Remarks on blowup of solutions for one-dimensional compressible Navier–Stokes equations with Maxwell's law

In this note, we present some blowup results of solutions to the one-dimensional compressible Navier–Stokes equations with Maxwell's law. First, we improve the blowup result of Hu and Wang [Math. Nachr. 92 (2019), 826–840] with initial density away from vacuum by removing two restrictions. Next, we give a blowup result for the solutions with decay at far fields. Finally, we construct some special analytical solutions to exhibit the blowup or non-blowup phenomena for the relaxed system.     

Sharp critical thresholds for a class of nonlocal traffic flow models

We study a class of traffic flow models with nonlocal look-ahead interactions. The global regularity of solutions depend on the initial data. We obtain sharp critical threshold conditions that distinguish the initial data into a trichotomy: subcritical initial conditions lead to global smooth solutions, while two types of supercritical initial conditions lead to two kinds of finite time shock formations. The existence of non-trivial subcritical initial data indicates that the nonlocal look-ahead interactions can help avoid shock formations, and hence prevent the creation of traffic jams.     

Approximate Pareto sets of minimal size for multi-objective optimization problems

We are interested in a problem introduced by Vassilvitskii and Yannakakis (2005), the computation of a minimum set of solutions that approximates within an accuracy ε$\epsilon$ the Pareto set of a multi-objective optimization problem. We mainly establish a new 3-approximation algorithm for the bi-objective case. We also propose a study of the greedy algorithm performance for the tri-objective case when the points are given explicitly, answering an open question raised by Koltun and Papadimitriou in (2007).     

高压氦气平行极板击穿电压实验研究

为获得高温气冷堆核电站电气设备绝缘设计所需基础数据, 本文设计了一套测量高压氦气绝缘性能的装置. 利用该装置进行了15-20 ℃, 0.1-7 MPa氦气, 间距0.25, 0.35, 0.5 mm平行极板击穿实验. 实验表明: 氦气的绝缘性能远低于空气; 气压越高, 氦气的击穿电压越大, 3.0 MPa氦气的击穿电压与常压空气基本一致; 根据低气压实验数据和巴申定律推导的公式, 在高气压下计算值偏大, 且偏差随着气压和间距乘积的增大不断增大; 提出了可计算0.1-7 MPa氦气击穿电压的简易公式, 同时修正了高气压氦气的巴申公式, 并进行了理论分析.     

用一种新实验方法测定透明液体的折射率

介绍自我设计的一种实验仪器和偏振光实验仪结合使用,根据光的折射定律和光的全反射规律来测定透明液体的折射率。又用此实验方法实际测量蒸馏水的折射率,进行实验数据处理和分析。     

Effect of Supramolecular Interchain Sticking on the Low‐Frequency Relaxation of Transient Polymer Networks

Supramolecular polymer networks and gels often exhibit three effects in rheology as a function of increasing strength and extent of transient chain interlinkage: (i) the longest relaxation time increases, (ii) the elastic part of the complex shear modulus on timescales longer than that increases, and (iii) the frequency‐dependent power‐law scaling of this modulus gets shallower in this regime. In a recent report, these effects have been systematically assessed by comparing transient polymer networks derived from a common precursor modified with different extents of a common hydrogen‐bonding supramolecular sticker. In this communication, complementary studies are discussed that are based on a set of polymers also derived from a common precursor but all modified with the same extent (4.8%) of very different supramolecular crosslinking motifs. This comparison reveals that effect (iii) can be rationalized by exacerbation of polydispersity effects to the relaxation time spectrum if supramolecular interchain sticking is present. In addition, effect (ii) is addressable to a simple thermodynamic argument that appraises the supramolecular sticking contribution to the elastic part of the shear modulus in the relaxation regime.

     

On the dynamic vibrations of an elastic beam in frictional contact with a rigid obstacle

Existence and uniqueness results are established for weak formulations of initial-boundary value problems which model the dynamic behavior of an Euler-Bernoulli beam that may come into frictional contact with a stationary obstacle. The beam is assumed to be situated horizontally and may move both horizontally and vertically, as a result of applied loads. One end of the beam is clamped, while the other end is free. However, the horizontal motion of the free end is restricted by the presence of a stationary obstacle and when this end contacts the obstacle, the vertical motion of the end is assumed to be affected by friction. The contact and friction at this end is modelled in two different ways. The first involves the classic Signorini unilateral or nonpenetration conditions and Coulomb's law of dry friction; the second uses a normal compliance contact condition and a corresponding generalization of Coulomb's law. In both cases existence and uniqueness are established when the beam is subject to Kelvin-Voigt damping. In the absence of damping, existence of a solution is established for a problem in which the normal contact stress is regularized.The work of the last two authors was supported in part by Oakland University Research Fellowships.     

Epidemiology and Self-Organized Critical Systems: An Analysis in Waiting Times and Disease Heterogeneity

The dominant paradigm in epidemiology is characterized by the absence of a theory of disease that is capable of informing epidemiologic praxis and challenging conventional linear statistical reasoning. This paper has two main objectives: first, it is a reflection over the pathologic process (transition from health to disease state) in line with the nonlinear dynamic paradigm of self-organized critical systems. According to the latter, dynamic processes are characterized by phase transitions, emergence, robustness, far-from-equilibrium dynamics, punctuated equilibria, historically-based mechanic, nonlinearity, irreversibility, and heterogeneity. Further, complex adaptive systems have outcomes with inverse power law (IPL) fits. The article second objective is to test the theory of self-organized critical systems along two paths of epidemiologic investigations. The first path takes the form of a study in waiting times (WT) and attempts to show that their distribution complies with an IPL. The second application shows that hierarchies of patients (generated by cluster analysis) with a complex disease process (diabetes) featuring coupling of their component units (biologic markers of glucose handling) also fit an IPL. The IPL fit is compared with that of a lognormal, the more likely benchmark model for WTs. It is concluded that both the WTs and hierarchies of patients can be interpreted in terms of self-organized critical systems with possible fractal significance. The paper culminates with a theory of disease emphasizing the properties of self-organized complex systems in the epidemiologic context.     

Low-Frequency Asymptotic Analysis of Seismic Reflection from a Fluid-Saturated Medium

Reflection of a seismic wave from a plane interface between two elastic media does not depend on the frequency. If one of the media is poroelastic and fluid-saturated, then the reflection becomes frequency-dependent. This paper presents a low-frequency asymptotic formula for the reflection of seismic plane p-wave from a fluid-saturated porous medium. The obtained asymptotic scaling of the frequency-dependent component of the reflection coefficient shows that it is asymptotically proportional to the square root of the product of the reservoir fluid mobility and the frequency of the signal. The dependence of this scaling on the dynamic Darcy’s law relaxation time is investigated as well. Derivation of the main equations of the theory of poroelasticity from the dynamic filtration theory reveals that this relaxation time is proportional to Biot’s tortuosity parameter.