Structural stability analysis of gene regulatory networks modeled by Boolean networks

This paper studies the structural monostability and structural cycle‐stability of Boolean networks (BNs). Firstly, the structural‐equivalent Boolean networks are converted to the algebraic forms by using the semitensor product of matrices. Secondly, the concepts of structural monostability and structural cycle‐stability for Boolean networks are proposed. On the basis of the algebraic forms of structural‐equivalent Boolean networks, some necessary and sufficient conditions are presented for the structural monostability and structural cycle‐stability of Boolean networks. Finally, an illustrative example is worked out to show the effectiveness of the obtained results.     

Steady vortex patches near a nontrivial irrotational flow

In this paper, we study the vortex patch problem in an ideal fluid in a planar bounded domain. By solving a certain minimization problem and studying the limiting behavior of the minimizer, we prove that for any harmonic function q corresponding to a nontrivial irrotational flow, there exists a family of steady vortex patches approaching the set of extreme points of q on the boundary of the domain. Furthermore, we show that each finite collection of strict extreme points of q corresponds to a family of steady multiple vortex patches approaching it.     

Study on actuating voltage and switching time of a MOEMS optical switch

The micro-opto-electro-mechanical systems (MOEMS) optical switch with slant lower electrode and with torsion beam on silicon is designed and analyzed theoretically. Based on the torsion dynamics theory, the technique and relative formula are presented for the first time for analyzing the actuating voltage and the switch time. The optimized results of the structural parameters are compared between this technique and the finite element modeling (FEM). Finally, the difference between the experimental results and theoretical data is discussed.     

体积相位全息光栅的设计与制备

本文指出全息干版薄膜在曝光后处理过程中的收缩性和折射率变化对制备全息光栅的周期、倾斜度、布喇格入射角及衍射角的影响问题,并根据实验数据对光栅设计进行修正,再结合Kogelnik衍射方程及折射率调制度和曝光量的线性关系,在实验中基本上能准确设计出指定周期、倾斜度和衍射效率的全息光栅。     

In vivo mechanical study of helical cardiac pacing electrode interacting with canine myocardium

Cardiac pacing is a medical device to help human to overcome arrhythmia and to recover the regular beats of heart. A helical configuration of electrode tip is a new type of cardiac pacing lead distal tip. The helical electrode attaches itself to the desired site of heart by screwing its helical tip into the myocardium. In vivo experiments on anesthetized dogs were carried out to measure the acute interactions between helical electrode and myocardium during screw-in and pull-out processes. These data would be helpful for electrode tip design and electrode/myocardium adherence safety evaluation. They also provide reliability data for clinical site choice of human heart to implant and to fix the pacing lead. A special design of the helical tip using strain gauges is instrumented for the measurement of the screw-in and pull-out forces. We obtained the data of screw-in torques and pull-out forces for five different types of helical electrodes at nine designed sites on ten canine hearts. The results indicate that the screw-in torques increased steplike while the torque–time curves presente saw-tooth fashion. The maximum torque has a range of 0.3–1.9 N mm. Obvious differences are observed for different types of helical tips and for different test sites. Large pull-out forces are frequently obtained at epicardium of left ventricle and right ventricle lateral wall, and the forces obtained at right ventricle apex and outflow tract of right ventricle are normally small. The differences in pull-out forces are dictated by the geometrical configuration of helix and regional structures of heart muscle.     

n元Euler数和多项式与n元Bernoulli数和多项式

本文给出了ｎ元Ｅｕｌｅｒ数，ｎ元Ｂｅｒｎｏｕｌｌｉ数，ｎ元Ｅｕｌｅｒ多项式，ｎ元Ｂｅｒｎｏｕｌｌｉ多项式的定义，导出了它们的母函数，得到了ｎ元Ｅｕｌｅｒ数与Ｅｕｌｅｒ数ｎ元Ｂｅｒｎｏｕｌｌｉ数与Ｂｅｒｎｏｕｌｌｉ数，ｎ元Ｅｕｌｅｒ多项式与Ｂｅｒｎｏｕｌｌｉ多项式的关系式。     

稀土（Eu^3＋,Tb^3＋）含氮杂环配合物的合成,表征及其荧光性质

在无水乙醇溶液中分别合成了Ｅｕ＾２＋离子、Ｔｂ＾３＋离子与２，２‘－联吡啶、１，１０－邻菲罗啉押种配合物，研究了配合物的荧光性质，由于Ｐｈｅｎ含有较大范围的共轭π键和较好的刚性平面，含Ｐｈｅｎ配合物的荧光强度均要比配合物的强；配合物的高分辨荧光光谱表明，Ｅｕ＾３＋离子在Ｅｕ（Ｄｉｐｙ）２Ｃｌ３’２Ｈ２Ｏ和Ｅｕ（Ｐｈｅｎ）２Ｃｌ３．２Ｈ２Ｏ配合物中处于Ｃ１或Ｃ２或Ｃ５的对称性位置。     

Ultrasensitive voltammetric detection of trace heavy metal ions using carbon nanotube nanoelectrode array

We describe an ultrasensitive voltammetric detection of trace heavy metal ions using nanoelectrode arrays (NEAs) that are based on low-site density carbon nanotubes (CNTs). The NEAs were prepared by sealing the side-walls of CNTs with an epoxy passive layer that reduces the current leakage and eliminates the electrode capacitance, leading to a low background current. This provides a high signal-to-noise ratio. The CNTs-NEAs coated with a bismuth film were used successfully for voltammetric detection of trace cadmium(II) and lead(II) at the sub-ppb level. The detection limit of 0.04 microg L(-1) was obtained under optimum experimental conditions. The attractive behavior of the new carbon NEA sensing platform holds great promise for onsite environmental monitoring and biomonitoring of toxic metals.     

Oxidation of vanadium(III) by hydrogen peroxide and the oxomonoperoxo vanadium(V) ion in acidic aqueous solutions: a kinetics and simulation study

The reaction between vanadium(III) and hydrogen peroxide in aqueous acidic solutions was investigated. The rate law shows first-order dependences on both vanadium(III) and hydrogen peroxide concentrations, with a rate constant, defined in terms of -d[H(2)O(2)]/dt, of 2.06 +/- 0.03 L mol(-)(1) s(-)(1) at 25 degrees C; the rate is independent of hydrogen ion concentration. The varying reaction stoichiometry, the appreciable evolution of dioxygen, the oxidation of 2-PrOH to acetone, and the inhibition of acetone formation by the hydroxyl radical scavengers, dimethyl sulfoxide and sodium benzoate, point to a Fenton mechanism as the predominant pathway in the reaction. Methyltrioxorhenium(VII) does not appear to catalyze this reaction. A second-order rate constant for the oxidation of V(3+) by OV(O(2))(+) was determined to be 11.3 +/- 0.3 L mol(-)(1) s(-)(1) at 25 degrees C. An overall reaction scheme consisting of over 20 reactions, in agreement with the experimental results and literature reports, was established by kinetic simulation studies.     

光学窗口外形对气动光学效应的影响

 流场求解采用3维雷诺平均N-S方程,分别利用ROE格式和二阶中心格式对对流通量和粘性通量进行离散处理;用高斯-赛德尔隐式格式对方程进行时间推进求解,采用k-ε两方程模型用于湍流的数值模拟。采用几何光学结合物理光学方法分析平均流动和湍流对光场的影响。计算结果表明:由于窗口外形曲面的曲率不同,两种窗口外部流场存在较大区别,气流速度、密度的分布情况各不相同。曲率较大的窗口外形对气流的压缩程度较大,导致气流绕过窗口顶端中心区域时流速快,密度梯度大,因而窗口空气阻力较大,光束在该窗口流场中传输受气流影响的影响也较大。