Spatial,Hysteretic, and Adaptive Host–Guest Chemistry in a Metal–Organic Framework with Open Watson–Crick Sites

Biological and artificial molecules and assemblies capable of supramolecular recognition, especially those with nucleobase pairing, usually rely on autonomous or collective binding to function. Advanced site‐specific recognition takes advantage of cooperative spatial effects, as in local folding in protein–DNA binding. Herein, we report a new nucleobase‐tagged metal–organic framework (MOF), namely ZnBTCA (BTC=benzene‐1,3,5‐tricarboxyl, A=adenine), in which the exposed Watson–Crick faces of adenine residues are immobilized periodically on the interior crystalline surface. Systematic control experiments demonstrated the cooperation of the open Watson–Crick sites and spatial effects within the nanopores, and thermodynamic and kinetic studies revealed a hysteretic host–guest interaction attributed to mild chemisorption. We further exploited this behavior for adenine–thymine binding within the constrained pores, and a globally adaptive response of the MOF host was observed.     

The effect of magnetic field on two-phase liquid metal flow

In this paper, the basic equations of two-phase liquid metal flow in a magnetic field are derived, and specifically, two-phase liquid metal MHD flow in a rectangular channel is studied, and the expressions of velocity distribution of liquid and gas phases and the ratioK ₀ of the pressure drop in two-phase MHD flow to that in single-phase are derived. Results of calculation show that the ratioK ₀ is smaller than unity and decreases with increasing void fraction and Hartmann number because the effective electrical conductivity in the two-phase case decreases. The Project is supported by the National Natural Science Foundation of China.     

杭州大剧院风压分布的风洞试验研究

杭州大剧院外观造型新颖独特，由一个近似为椭球的双曲面屋盖和一个倒置的圆锥面玻璃幕墙相交形成大剧院的主体建筑的外轮廓．本文结合该主体结构的抗风设计要求，制作了1：200刚性模型进行结构表面脉动风压平均风压分布的风洞试验研究，详细介绍了风洞试验及数据处理方法，讨论了在不同风向角下椭球面屋盖和圆锥面玻璃幕墙的风压分布．为了便于整体结构设计，本文根据结构的实际情况对椭球面和圆锥面进行分块并给出相应的分块风压数据，最后根据各风向角下的风压分布特征给出了整体结构抗风设计的最不利风向角．     

非饱和土的广义朗肯土压力

本文从 4条基本假设出发 ,建立了非饱和土的广义朗肯土压力公式 ,采用理想试验对该公式进行了验证 ,在北京地铁13号线的东直门车站基坑工程中理论分析结果和实测值非常接近 ,证明了该理论的有效性。土的广义朗肯土压力公式建立了土的试验指标与原位指标的关系 ,从理论上给出了用土的试验指标得到原位主动 (被动 )土压力的方法。对于非饱和土 ,采用简单易得的直剪试验指标应用广义朗肯土压力公式就可以得到相当精确的结果 ,弥补了扩展朗肯土压力理论的不足。而且广义朗肯土压力公式能够合理利用已有的工程经验和工程数据 ,为非饱和土力学的工程实用化提供了一条新的思路。     

二自由度耦合非线性随机系统的最大Lyapunov指数和稳定性

利用摄动方法讨论了一类耦合二自由度非线性系统，在小强度白噪声参数激励下系统运动模态的稳定性，获得了系统扩散过程的稳态概率密度的渐近表达式，由此获得了系统运动模态几乎必然稳定的充分必要条件。     

Developments in laser wakefield accelerators:From single-stage to two-stage

Laser wakefield accelerators(LWFAs)are compact accelerators which can produce femtosecond high-energy electron beams on a much smaller scale than the conventional radiofrequency accelerators.It is attributed to their high acceleration gradient which is about 3 orders of magnitude larger than the traditional ones.The past decade has witnessed the major breakthroughs and progress in developing the laser wakfield accelerators.To achieve the LWFAs suitable for applications,more and more attention has been paid to optimize the LWFAs for high-quality electron beams.A single-staged LWFA does not favor generating controllable electron beams beyond 1 Ge V since electron injection and acceleration are coupled and cannot be independently controlled.Staged LWFAs provide a promising route to overcome this disadvantage by decoupling injection from acceleration and thus the electron-beam quality as well as the stability can be greatly improved.This paper provides an overview of the physical conceptions of the LWFA,as well as the major breakthroughs and progress in developing LWFAs from single-stage to two-stage LWFAs.     

The Gerber-Shiu discounted penalty function for a compound binomial risk model with by-claims

A recursive formula of the Gerber-Shiu discounted penalty function for a compound binomial risk model with by-claims is obtained. In the discount-free case, an explicit formula is given. Utilizing such an explicit expression, we derive some useful insurance quantities, including the ruin probability, the density of the deficit at ruin, the joint density of the surplus immediately before ruin and the deficit at ruin, and the density of the claim causing ruin.     

2015年美国大学生数学建模和 跨学科建模竞赛试题（A题和B题）

015年美国大学生数学建模竞赛A题“根除埃博拉”是一个国际关注的问题,本文参考了部分获奖竞赛论文中的观点和方法,深入研究这一课题,给出了比较全面的分析。根据西非埃博拉病毒传播的实际情况,建立了若干通常传染病的SEIR模型的衍生模型,并给出详细的阐述,同时也说明了仿真的重要意义。最后,点评了学生论文中的优缺点,并给出进一步研究的建议。     

S波段微波热致超声成像系统研究

微波热致超声成像技术通过向物体发射微波脉冲, 导致物体吸收电磁波温度迅速升高, 产生瞬时压力波, 从而激发产生超声波信号, 通过传感器对产生的超声波信号进行采集并成像, 最终还原了反映物体吸收电磁波能量特性的图像, 由于此方法兼具了微波成像的高对比性和超声成像的高分辨率特点, 理论上验证了热声成像技术对早期乳腺肿瘤检测的可行性. 本实验兼顾系统成像深度和分辨率, 采用S波段的微波脉冲信号源对物体进行辐射, 利用圆形扫描方式对待测物体进行检测, 同时为了更好的验证成像性能, 本实验同时使用了肿瘤仿体及实际生物组织进行成像实验. 通过实验分析, 验证了该系统对肿瘤仿体和生物组织检测的有效性, 以及系统的高分辨率和高对比度特性, 为早期乳房肿瘤检测提供了进一步的理论支撑.