DIFFUSION-DRIVEN INSTABILITY IN THE GIERER-MEINHARDT MODEL OF MORPHOGENESIS

In this paper, we consider the Gierer-Meinhardt model of morphogenesis. It is shown that the homogeneous equilibrium solution and the homogeneous periodic solution become diffusively unstable if the diffusion coefficients of the two substances are chosen suitably.     

K2O-ZnO-Al2O3-B2O3-SiO2系掺Cr3+透明莫来石微晶玻璃的研究

采用了X射线衍射、透射电镜和吸收光谱及荧光光谱技术研究了K2O－ZnO-Al2O3-B2O3－SiO2系掺Cr^3 玻璃的析晶性能和光谱。研究结果表明：在K2O－Al2O3-B2O3-SiO2系掺Cr^3 玻璃的基础上引入ZnO后，析晶性能明显改善；析晶温度降低，析出的纳米莫来石微晶均匀、规则；微晶玻璃的发光强度明显增强。     

Traveling Fronts in Monostable Equations with Nonlocal Delayed Effects

In this paper, we study the existence, uniqueness and stability of traveling wave fronts in the following nonlocal reaction–diffusion equation with delay

Uniform persistence and flows near a closed positively invariant set

In this paper, the behavior of a continuous flow in the vicinity of a closed positively invariant subset in a metric space is investigated. The main theorem in this part in some sense generalizes previous results concerning classification of the flow near a compact invariant set in a locally compact metric space which was described by Ura-Kimura (1960) and Bhatia (1969). By applying the obtained main theorem, we are able to prove two persistence theorems. In the first one, several equivalent statements are established, which unify and generalize earlier results based on Liapunov-like functions and those about the equivalence of weak uniform persistence and uniform persistence. The second theorem generalizes the classical uniform persistence theorems based on analysis of the flow on the boundary by relaxing point dissipativity and invariance of the boundary. Several examples are given which show that our theorems will apply to a wider varity of ecological models.     

Novel 4-Aryl-2-amino-6-(naphthalene-1-yl)-3-cyanopyridine Derivates as Potential Organic Fluorescent Materials Prepared Under Microwave Irradiation via Three-Component Domino Reactions

A green and efficient method for direct preparation of 3-cyanopyridine from aromatic aldehydes is reported. A series of novel 4-aryl-2-amino-6-(naphthalene-1-yl)-3-cyanopyridine derivates were successfully prepared by one-pot synthesis of three-component domino reactions including aromatic aldehydes, 1-acetylnaphthalene, and dicyanomethane in the presence of ammonium acetate in a solution of ethanol under microwave irradiation. This synthetic method for these compounds possesses many advantages including greater yield and shorter reaction times compared with traditional methods. The structures of these compounds were confirmed by means of high-resolution mass spectrometry, ¹H NMR, ¹³C NMR, and infrared. Moreover, the results of their fluorescent spectra showed that these compounds have good fluorescence intensity excited by the visible light wavelength of 416 nm.     

无催化剂条件下微波辐射一步法合成2-氨基-4-芳基-5-氧代-5,6,7,8-四氢-4H-苯并吡喃-3-腈

以芳醛、丙二腈、1,3-环己二酮为原料在无催化剂条件下,分别用微波辐射和传统加热法合成了一系列2-氨基-4-芳基-5-氧代-5,6,7,8-四氢-4H-苯并吡喃-3-腈(4a～4g)衍生物.与常规加热方法相比,微波辐射法具有反应时间短、产率高、后处理方便、环境友好等优点,所有化合物均经IR,1H MMR和元素分析确定.     

Attractors for non-autonomous parabolic problems with singular initial data

In this paper, we study the asymptotic behavior of solutions of non-autonomous parabolic problems with singular initial data. We first establish the well-posedness of the equation when the initial data belongs to Lr(Ω) (1<r<∞) and W1,r(Ω) (1<r<N), respectively. When the initial data belongs to Lr(Ω), we establish the existence of uniform attractors in Lr(Ω) for the family of processes with external forces being translation bounded but not translation compact in . When we consider the existence of uniform attractors in , the solution of equation lacks the higher regularity, so we introduce a new type of solution and prove the existence result. For the long time behavior of solutions of the equation in W1,r(Ω), we only obtain the uniform attracting property in the weak topology.     

Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays

This paper deals with the existence of travelling wave fronts in reaction-diffusion systems with spatio-temporal delays. Our approach is to use monotone iterations and a nonstandard ordering for the set of profiles of the corresponding wave system. New iterative techniques are established for a class of integral operators when the reaction term satisfies different monotonicity conditions. Following this, the existence of travelling wave fronts for reaction-diffusion systems with spatio-temporal delays is established. Finally, we apply the main results to a single-species diffusive model with spatio-temporal delay and obtain some existence criteria of travelling wave fronts by choosing different kernels.     

茶刺蛾颗粒体病毒色涵体的拉曼光谱研究

得到了茶刺蛾颗粒体病毒(Darna trima Granulosis Virus 缩写为 DtGV)包涵体的拉曼光谱。分析表明,DtGV 包涵体蛋白的二级结构主要为β折叠和无规卷曲,后者含有大量β回折结构;蛋白的所有酪氨酸残基均“暴露”于溶剂中;其 C—C—S—S—C—C 构型属于扭曲—扭曲—扭曲式。     

弯曲动脉壁非线性弹性力学性质的理论分析

血管壁非线性力学特性是探索心血管中的血液流动规律及脉搏波传播现象的一个重要前提．在血管力学研究中,直管动脉壁的本构方程已有相当深人的研究,唯独象主动脉弓那样的弯管动脉壁本构方程;至今还没有建立一个理论模型．文中在已有的直管动脉壁本构方程研究基础上,提出一个理论方法来分析弯曲动脉壁的非线性弹性力学性质,在弯曲动脉壁被模拟为均质、正交各向异性、不可压缩材料的前提下,作者从理论上建立了一个表达弯管动脉壁非线性弹性性质的三维ｅ指数型本构方程文中还探讨了弯曲动脉壁内的残余应变分析．