Existence and Uniqueness of Solutions and Lyapunov-type Inequality for a Mixed Fractional Boundary Value Problem

In this paper, a Lyapunov-type inequality for a linear differential equation involving right Riemann-Liouville and left Caputo fractional derivatives under Sturm-Liouville boundary conditions is established. Furthermore, the existence of solutions for the corresponding nonlinear differential equation is obtained by fixed point theorems.     

Cellular elements for seeing in the dark: voltage-dependent conductances in cockroach photoreceptors

ABSTRACT: BACKGROUND: The importance of voltage-dependent conductances in sensory information processing is well-established in insect photoreceptors. Here we present the characterization of electrical properties in photoreceptors of the cockroach (Periplaneta americana), a nocturnal insect with a visual system adapted for dim light. RESULTS: Whole-cell patch-clamped photoreceptors had high capacitances and input resistances, indicating large photosensitive rhabdomeres suitable for efficient photon capture and amplification of small photocurrents at low light levels. Two voltage-dependent potassium conductances were found in the photoreceptors: a delayed rectifier type (KDR) and a fast transient inactivating type (KA). Activation of KDR occurred during physiological voltage responses induced by light stimulation, whereas KA was nearly fully inactivated already at the dark resting potential. In addition, hyperpolarization of photoreceptors activated a small-amplitude inward-rectifying (IR) current mediated at least partially by chloride. Computer simulations showed that KDR shapes light responses by opposing the light-induced depolarization and speeding up the membrane time constant, whereas KA and IR have a negligible role in the majority of cells. However, larger KA conductances were found in smaller and rapidly adapting photoreceptors, where KA could have a functional role. CONCLUSIONS: The relative expression of KA and KDR in cockroach photoreceptors was opposite to the previously hypothesized framework for dark-active insects, necessitating further comparative work on the conductances. In general, the varying deployment of stereotypical K+ conductances in insect photoreceptors highlights their functional flexibility in neural coding.     

The Host – Guest Interaction Between Cucurbit[7]uril and Ferrocenemonocarboxylic Acid for Electrochemically Catalytic Determination of Glucose

A simple and sensitive method for glucose determination was described based on the host‐guest inclusive complex of cucurbit[7]uril and ferrocenemonocarboxylic acid. In this work, the mixture of cucurbit[7]uril and graphene oxide, ferrocenemonocarboxylic acid as electron transfer mediator and glucose oxidase as catalytic material were modified successively on the electrode. Under the optimized conditions, a linear response between current intensity and glucose concentrations over a range of 0.1–10 mM was obtained with a relatively low detection limit (27 µM, S/N=3). Meanwhile, this method exhibited high selectivity in the interference investigation, and the reliability and applicability in human serum samples analysis.     

FIXED POINT CHAOS AND FOLD/FOLD BURSTING OF A CLASS OF DUFFING SYSTEMS AND THE MECHANISM ANALYSIS 1)

本文主要探究了一类含有两个慢变量的双稳态 Duffing 型系统,通过时间历程图、相图、分岔图等对系统进行数值模拟,然后从理论上分析不同参数下系统的动力学机理. 首先,研究发现当振幅参数取值大于 1 时,系统会表现出不动点混沌现象,并进一步解释了产生不动点混沌的机理. 其次, 介绍了参数空间中的簇发振荡现象,即系统穿过鞍结曲面的一侧到达另一侧所发生的行为,这里也称为鞍结簇发振荡. 事实上,当系统穿过鞍结曲面的时候,它的平衡点个数发生了变化. 然后,使用纵向抛物线路径说明了 Fold/Fold 簇发振荡产生的机理,发现无论常系数项和振幅的取值为多少,只要满足一定的关系,总会产生 Fold/Fold 簇发振荡,之后使用线性路径阐明了新增常系数项会使得系统发生簇发振荡的原因. 并且发现路径与鞍结曲面交点的位置会影响簇发振荡的对称性;路径的跨度会影响簇发振荡的大小. 最后,使用多拐折曲线路径讨论当两个激励项存在 $n$ 倍关系时系统产生的现象. 结果表明当 $n=3$ 时,常系数项的变化会使得系统表现出不同重数的 Fold/Fold 簇发振荡,最高可达到三重簇发振荡. 并且发现在理想状况下如果可以找到一条路径可以分割为 $n$ 段,并且每一段都会与鞍结曲面有交点,那么会产生 $n$ 重 Fold/Fold 簇发振荡.     

Scattering of electromagnetic plane waves by a spheroid uniformly moving in free space

We investigate the scattering process, generated by a plane electromagnetic field that is incident upon a moving perfectly conducting spheroid. An accurate treatment of the electromagnetic waves interaction with scatterers in uniform motion is based on the special relativity principle. In the object's frame the incident wave is assumed to have a wavelength which is much larger than the characteristic dimension of the scatterer and thus the low‐frequency approximation method is applicable to the scattering problem. For the near electromagnetic field we obtain the zeroth‐order low‐frequency coefficients, while in the far field we calculate the leading terms for the scattering amplitude and scattering cross‐section. Finally, using the inverse Lorentz transform, we obtain the same approximations in the observer's frame. Copyright © 2006 John Wiley & Sons, Ltd.     

Fe_3O_4/Au composite nano-particles and their optical properties

The colloid gold and magnetic particle modified with various chemical groups have been widely used in the areas of biomedical and molecular biology[1―6]. Therefore, a great deal of attention has been given to the preparation and application of colloid go…     

Compositional and electrical properties of line and planar defects in Cu(In,Ga)Se2 thin films for solar cells – a review

The present review gives an overview of the various reports on properties of line and planar defects in Cu(In,Ga)(S,Se)₂ thin films for high‐efficiency solar cells. We report results from various analysis techniques applied to characterize these defects at different length scales, which allow for drawing a consistent picture on structural and electronic defect properties. A key finding is atomic reconstruction detected at line and planar defects, which may be one mechanism to reduce excess charge densities and to relax deep‐defect states from midgap to shallow energy levels. On the other hand, nonradiative Shockley–Read–Hall recombination is still enhanced with respect to defect‐free grain interiors, which is correlated with substantial reduction of luminescence intensities. Comparison of the microscopic electrical properties of planar defects in Cu(In,Ga)(S,Se)₂ thin films with two‐dimensional device simulations suggest that these defects are one origin of the reduced open‐circuit voltage of the photovoltaic devices. (© 2016 WILEY‐VCH Verlag GmbH &Co. KGaA, Weinheim)     

Chromatographic and Spectroscopic Studies on β-Cyclodextrin Functionalized Ionic Liquid as Chiral Stationary Phase: Enantioseparation of Flavonoids

In this study, β-cyclodextrin functionalized ionic liquid was prepared by adding 1-benzylimidazole onto 6-monotosyl-6-deoxy-β-cyclodextrin (β-CDOTs) to obtain β-CD-BIMOTs. β-CD-BIMOTs were then bonded onto the modified silica to produce chiral stationary phases (β-CD-BIMOTs-CSP). The performance of β-CD-BIMOTs-CSP was evaluated by observing the enantioseparation of flavonoids. The performance of β-CD-BIMOTs stationary phase was also compared with native β-CD stationary phase. For the selected flavonoids, flavanone and hesperetin obtained a high resolution factor in reverse phase mode. Meanwhile, naringenin and eriodictyol attained partial enantioseparation in polar organic mode. In order to understand the mechanism of separation, the interaction of selected flavonoids and β-CD-BIMOTs was studied using spectroscopic methods (¹H NMR, NOESY and UV–Vis spectrophotometry). The enantioseparated flavanone and hesperetin were found to form an inclusion complex with β-CD-BIMOTs. However, naringenin and eriodictyol were not enantioseparated due to the formation of hydrogen bonding at exterior torus of β-CD-BIMOTs.

     

脉冲电催化的研究进展及性能强化机制

基于电催化的能源转化、化学品合成及污染物降解技术是解决能源与环境问题的重要方式. 一些研究已经证明, 通过简单地施加周期性切换电位的脉冲供电策略, 将会有效提升电催化性能. 本文对脉冲供电策略在电化学高级氧化、电化学二氧化碳还原、有机电合成、电解水制氢等经典电化学体系中的应用及研究进展进行了综述, 并具体分析了其对各类电催化反应性能的强化机制, 这些机制主要包括: 通过周期性更新能斯特扩散层的物质浓度以增强催化活性; 通过动态调控中间体吸附能以提高催化选择性; 通过维持催化剂表面处于非平衡状态, 避免催化剂失活以提高催化剂的稳定性. 最后, 本文展望了脉冲电催化未来所面临的机遇与挑战.