Boundary Harnack principle for subordinate Brownian motions

We establish a boundary Harnack principle for a large class of subordinate Brownian motions, including mixtures of symmetric stable processes, in κ$\kappa$-fat open sets (disconnected analogue of John domains). As an application of the boundary Harnack principle, we identify the Martin boundary and the minimal Martin boundary of bounded κ$\kappa$-fat open sets with respect to these processes with their Euclidean boundaries.     

Global dynamics of a Vector‐Borne disease model with two delays and nonlinear transmission rate

In this paper, we investigate a Vector‐Borne disease model with nonlinear incidence rate and 2 delays: One is the incubation period in the vectors and the other is the incubation period in the host. Under the biologically motivated assumptions, we show that the global dynamics are completely determined by the basic reproduction number R₀. The disease‐free equilibrium is globally asymptotically stable if R₀≤1; when R₀>1, the system is uniformly persistent, and there exists a unique endemic equilibrium that is globally asymptotically. Numerical simulations are conducted to illustrate the theoretical results.     

Stability in terms of two measures of solutions to stochastic partial differential delay equations with switching

In this paper, the problem of stability in terms of two measures is considered for a class of stochastic partial differential delay equations with switching. Sufficient conditions for stability in terms of two measures are obtained based on the technique of constructing a proper approximating strong solution system and conducting a limiting type of argument to pass on stability of strong solutions to mild ones. In particular, the stochastic stability under the fixed‐index sequence monotonicity condition and under the average dwell‐time switching are considered.     

煤质硫含量紫外差分吸收测量方法研究

快速准确地测定煤质硫含量,可为企业、环境监督部门提供重要的技术依据。国内外已有多种煤质硫含量分析仪器,但或多或少存在令操作人员不满意的地方。提出一种基于紫外(UV)差分吸收光谱(DOAS)的煤质硫含量测量方法。针对分子数分数测量范围宽、光程短等问题,在传统算法的基础上,提出基于有限脉冲响应(FIR)滤波和四阶多项式非线性补偿的改进DOAS算法。搭建了实验测量系统,对5种标准煤样进行了实验研究。结果表明,测量系统的下限为0.014%,能够去除烟尘和背景气体的影响,降低系统的维护量,单次测量时间在4min左右,测量系统的重复性满足国家标准的要求。     

Stability,Steady‐State Bifurcations,and Turing Patterns in a Predator–Prey Model with Herd Behavior and Prey‐taxis

In this paper, we consider a predator–prey model with herd behavior and prey‐taxis subject to the homogeneous Neumann boundary condition. First, by analyzing the characteristic equation, the local stability of the positive equilibrium is discussed. Then, choosing prey‐tactic sensitivity coefficient as the bifurcation parameter, we obtain a branch of nonconstant solutions bifurcating from the positive equilibrium by an abstract bifurcation theory, and find the stable bifurcating solutions near the bifurcation point under suitable conditions. We have shown that prey‐taxis can destabilize the uniform equilibrium and yields the occurrence of spatial patterns. Furthermore, some numerical simulations to illustrate the theoretical analysis are also carried out, Turing patterns such as spots pattern, spots–strip pattern, strip pattern, stable nonconstant steady‐state solutions, and spatially inhomogeneous periodic solutions are obtained, which also expand our theoretical results.     

基于单次旋转的旋转非对称面形误差绝对检测技术研究

绝对检测技术是剔除干涉仪系统误差进而提高面形检测精度的有效手段。基于单次旋转的绝对检测技术由被测球面绕光轴旋转前后的检测数据,采用基于最小二乘法的Zernike多项式拟合,剔除系统误差,获得被测面的旋转非对称面形误差。详细推导了理论计算公式,分析了单次旋转角度对算法检测精度的影响,并和多次旋转法作了对比,其残差均方根(RMS)值约为1.5nm。该方法只需一次旋转两次检测,在保证检测精度的同时简化了检测过程。     

Binding and cytotoxicity of 131I-labeled gastrin-releasing peptide receptor antagonists modified by cell penetrating peptides

Gastrin releasing peptide receptors (GRPRs) are one of the most interesting targets over expressed in various tumors. Due to the superior potential of the GRPR antagonist analogs, they have been studied in the tumor radio imaging and therapy field. However, typical antagonists suffered the shortcomings of no internalization and poor binding affinity which hampered their applications in radiotherapy. Therefore, we attempted to introduce Oligoarginines (cell penetrating peptides) to RM26, aiming to increase the binding affinity or even trigger the internalization of the peptides on cells. The results showed Arg₆ as the most potent CPP, significantly enhanced the binding avidity of RM26 to the GRPR.

     

A stable pillared metal–organic framework constructed by H4TCPP ligand as luminescent sensor for selective detection of TNP and Fe3+ ions

A novel luminescent metal–organic framework ( Zn‐TCPP/BPY ) with pillared structure based on 2,3,5,6‐tetrakis(4‐carboxyphenyl)pyrazine (H₄TCPP) and 4,4′‐bipyridine (BPY) has been designed and synthesized through a solvothermal reaction. The [Zn₂(COO)₄] paddlewheel units are linked by TCPP^4? ligands to form two‐dimensional layers and further connected by BPY ligands as pillars to construct the twofold interpenetrating three‐dimensional framework. Interestingly, Zn‐TCPP/BPY possesses outstanding stability in organic solvents and water as well as maintains its structural rigidity in aqueous solutions of different pH values (3–12). After activation, Zn‐TCPP/BPY possesses permanent porosity with Brunauer–Emmett–Teller surface area of 630 m² g^–1. Remarkably, Zn‐TCPP/BPY displays excellent fluorescent property in virtue of the aggregation‐induced emission effect of the H₄TCPP ligand, which can be highly active and quenched by small amounts of 2,4,6‐trinitrophenol (TNP) and Fe³⁺ ions. Furthermore, the detection effect of Zn‐TCPP/BPY remains basically the same even after five cycles. The excellent stability, high sensitivity, and recyclability of Zn‐TCPP/BPY make it an outstanding chemical sensor for detecting TNP and Fe³⁺ ions.