Lipschitz images with fractal boundaries and their small surface wrapping

Assume and is a Lipschitz -mapping; and denote the volume and the surface area of . We verify that there exists a figure with , and, of course, , where depends only on the dimension and on . We also give an example when is a square and ; in fact, the boundary of can contain a fractal of Hausdorff dimension exceeding one.

     

Behavior of the effective fields for a regular ising model on the Cayley tree

A regular Ising model with nearest-neighbor interactions ofJ and–J(J>0) on a Cayley tree of coordination number 3 is investigated for the behavior of effective fields in a uniform external field. The effective fields show periodic and also aperiodic structures in the temperature-field plane. At absolute zero temperature, the equations determining effective fields are reduced to a nonlinear, one-dimensional, iterative equation. Arithmetic furcations of period and a screening of the furcations are observed.     

Quantitative Bulk and Trace Element X-Ray Mapping Using Multiple Detectors

X-ray mapping using energy dispersive spectroscopy or wavelength dispersive spectroscopy is a very popular characterisation tool for determining the elemental distribution in materials. Furthermore, quantitative X-ray mapping has become a very powerful technique enabling reliable quantitative results that can be an order of magnitude better than traditional analysis. Quantitative X-ray mapping is also far superior to regions of interest X-ray maps where low levels of an element or elemental overlaps are present. The one major drawback with X-ray mapping is the time required to obtain a high resolution X-ray map with good statistics at low levels of concentration. The use of multi-detectors, and just developed dual turret detectors for X-ray mapping, allows improvement in performance at low levels without compromising quantification quality and precision of traces, even in the presence of overlaps. However, for quantitative X-ray mapping to work properly, the characteristics of each detector must be accurately determined so that the final quantification of the individual detectors can be summed. To accomplish this effectively, the full spectrum at each pixel for each energy dispersive detector should be saved. As a final check for consistency between detectors, a technique was developed that involves assigning a different red-green-blue colour for each detector for the same element. By doing this, when we combine the three maps of the same element, we should obtain a grey scale map that indicates total correlation between the three detectors at the most critical final stage of quantification. To reduce contrast noise and further improve the quality of quantitative X-ray mapping images, a filter referred to as a “speckle filter” has been developed that allows the eye to see a more correct elemental concentration relationship.     

Molecular modeling of a putative antagonist binding site on helix III of the β-adrenoceptor

Summary In recent biochemical studies it was demonstrated that residue Asp¹¹³ of the-adrenoceptor (-AR) is an indispensable amino acid for the binding of-AR antagonists. Earlier fluorescence studies showed that a tryptophan-rich region of the-AR is involved in the binding of propranolol, the prototype-AR antagonist. Bearing these two biochemical findings in mind, we explored the-AR part containing Asp¹¹³, for an energetically favorable antagonist binding site. This was done by performing molecular docking studies with the antagonist propranolol and a specific-AR peptide which included, besides Asp¹¹³, two possibly relevant tryptophan residues. In the docking calculations, the propranolol molecule was allowed to vary all its internal torsional angles. The receptor peptide was kept in an-helix conformation, while side chains relevant to ligand binding were flexible to enable optimal adaptations to the ligand's binding conformation. By means of force-field calculations the total energy was minimized, consisting of the intramolecular energies of both ligand and receptor peptide, and the intermolecular energy. We found an antagonist binding site, consisting of amino acids Asp¹¹³ and Trp¹⁰⁹, which enabled energetically favorable interactions with the receptor-binding groups of propranolol. According to these results, binding involves three main interaction points: (i) a reinforced ionic bond; (ii) a hydrogen bond; and (iii) a hydrophobic/charge transfer interaction. The deduced binding site shows a difference in affinity between the levo- and dextrorotatory isomers of propranolol caused by a difference in ability to form a hydrogen bond, which is in conformity with the experimentally observed stereoselectivity. Moreover, it also provides an explanation for the ₁-selectivity ofp-phenyl substituted phenoxypropanolamines like betaxolol. Thep-phenyl substituent of betaxolol was shown to be sterically hindered upon binding to the ₂-AR peptide, whereas this hindrance is very likely to be much less with the ₁-AR peptide. Finally, the proposed antagonist binding site is discussed in the light of some recent biochemical findings and theories.Abbreviations -AR -adrenergic receptor - cDNA complementary DNA - H-bond hydrogen bond - VdW van der Waals - QSAR quantitative structure-activity relationship - ¹²⁵I-pBABC p-(bromoacetamido)benzyl-1-[¹²⁵I]iodocarazol     

Estimation of polarity and fluidity of colloidal interfaces and biosurfaces using rhamnolipid B pyrenacylester as surface-active fluorescent probe

Fluorescent probes are useful to monitor the polarity and fluidity of microenvironments. Therefore, a new amphiphilic fluorescent probe, the pyrenacylester of Rhamnolipid B, was prepared from biosurfactant (Rhamnolipid B) and pyrene. As a result of its surface activity, this probe was expected to be able to penetrate into various kinds of microdomains such as the environments of organic solvents, emulsions, dispersions, surfaces of biomembranes and polymers.     

Capillary column high-performance liquid chromatographic-electrospray ionization triple-stage quadrupole mass spectrometric analysis of proteins separated by two-dimensional polyacrylamide gel electrophoresis application to cerebellar protein mapping

A method is presented for the structural characterization of proteins separated by two-dimensional poly-acrylamide gel electrophoresis (2D-PAGE). The method includes separation of a protein mixture by 2D-PAGE, recovery of proteins from the gel spots revealed by copper staining and analysis of the proteins by triple-stage quadrupole mass spectrometry using an electrospray ionization interface (ESI-TSQMS). Prior to the mass spectrometric analysis, the extracted proteins were passed through a small reversed-phase column (10 × 4.0 mm I.D.) to remove salts and gel-derived contaminants and then introduced into the mass spectrometer through a reversed-phase capillary column with 0.25 mm I.D. Application of the method to the analysis of rat cerebellar proteins suggests that the molecular mass could be accurately determined with sub-picomole amounts of protein samples derived from one or two 2D gels. The method was also useful for peptide mapping and determination of amino acid sequences of proteins micro-prepared from the 2D gel. Because 2D-PAGE has an excellent resolving power in protein separation and because capillary LC-ESI-TSQMS provides structural information with very small amounts of samples, the combined system of 2D-PAGE and capillary LC-ESI-TSQMS described here should allow wide applications to molecular studies of genes and proteins, such as identifications of protein spots on 2D gels, confirmation of gene/protein sequences and analysis of post-translational modification of proteins present naturally in tissue/cell extracts or expressed by recombinant DNA techniques.     

关于广义拟变分不等式与拟变分不等式

本文研究了一类抽象形式的广义拟变分不等式,并由此推出了关于广义拟变分不等式的某些结果。这些结果是文[1]之定理3,文[2,3]的定理11及文[5]的定理1的改进和推广。     

可变高度激光里程计在室内不平整地面环境下的地图构建

针对可变高度激光雷达的结构特点提出了一种基于线、面特征的匹配算法, 并应用于存在不平整地面的结构化的室内环境. 首先提取激光点云中的边缘点和平面点, 并使用随机抽样一致性算法拟合成线段和平面; 然后根据线段与平面几何关系提出特征匹配条件, 完成特征之间的匹配; 利用特征间的匹配关系构建约束方程求解机器人位姿; 最后把机器人竖直方向位姿变换信息补偿到激光点云中, 并把纠正后的有一定高度的激光点云压缩成二维激光构建室内栅格地图. 实验结果表明, 与常用的二维激光同时定位与构图算法Gmapping对比, 在地面不平整的室内环境构建的地图得到了改善, 提高了移动机器人的构图精度.     

基于单元分类的CMOL常开缺陷单元容错映射

CMOS纳米分子混合电路(CMOS/nanowire/MOLeclular hybrid circuits, CMOL)在制造过程中会引入较高缺陷率, 从而导致可用映射资源的减少. 针对由此产生的映射困难问题, 本文采用单元分类思想, 对部分缺陷单元加以利用, 以增加可映射单元数, 进而提高映射成功率. 首先根据单元缺陷类型的差异, 将缺陷单元分为可用和不可用两类进行标记, 然后对可用缺陷单元加以利用, 并采用改进的进化算法完成单元容错映射. 实验结果表明, 与已有方法相比, 新方法在运行效率和成功率上分别得到了19.17%和30.14%的提升.     

SOME FURTHER GENERALIZATIONS OF KY FAN’S MINIMAX INEQUALITY AND ITS APPLICATIONS TO VARIATIONAL INEQUALITIES

The purpose of this paper is to introduce the concept of generalized KKM mapping andto obtain some general version of the famous KKM theorem and Ky Fan’s minimaxinequality.As applications,we utilize the results presented in this paper to study the saddlepoint problem and the existence problem of solutions for a class of quasi-variationalinequalities.The results obtained in this paper extend and improve some recent results of[1-6].