Antiviral peptides from marine gorgonian-derived fungus Aspergillus sp. SCSIO 41501

A new cyclic pentapeptide and three new linear peptides, namely, aspergillipeptides D–G (1–4), were isolated from a culture broth of marine gorgonian-derived fungus Aspergillus sp. SCSIO 41501. Their structures were elucidated by spectroscopic analysis, and their absolute configurations were confirmed by Marfey’s method. Compounds 1 and 2 showed evident antiviral activity against herpes simplex virus type 1 (HSV-1) with IC₅₀ values of 9.5 and 19.8 µM under their non-cytotoxic concentrations against a Vero cell line, respectively, and 1 also had antiviral activity against acyclovir-resistant clinical isolates of HSV-1.     

Ricci Positive Metrics on the Moment-Angle Manifolds

In this paper, the authors consider the problem of which (generalized) moment-angle manifolds admit Ricci positive metrics. For a simple polytope $P$, the authors can cut off one vertex $v$ of $P$ to get another simple polytope $P_{v}$, and prove that if the generalized moment-angle manifold corresponding to $P$ admits a Ricci positive metric, the generalized moment-angle manifold corresponding to $P_{v}$ also admits a Ricci positive metric. For a special class of polytope called Fano polytopes, the authors prove that the moment-angle manifolds corresponding to Fano polytopes admit Ricci positive metrics. Finally some conjectures on this problem are given.     

带跳跃非线性边界的p-Laplacian问题(英文)

利用Fadell与Rabinowitz提出的同调指标理论,研究了一类带不定权非线性边界的p-Laplacian特征值问题;更进一步,利用环绕定理,证明了一类带跳跃非线性边界的p-Laplacian问题非平凡解的存在性.     

A FULLY DISCRETE IMPLICIT-EXPLICIT FINITE ELEMENT METHOD FOR SOLVING THE FITZHUGH-NAGUMO MODEL

This work develops a fully discrete implicit-explicit finite element scheme for a parabolic-ordinary system with a nonlinear reaction term which is known as the FitzHugh-Nagumo model from physiology. The first-order backward Euler discretization for the time derivative, and an implicit-explicit discretization for the nonlinear reaction term are employed for the model, with a simple linearization technique used to make the process of solving equations more efficient. The stability and convergence of the fully discrete implicit-explicit finite element method are proved, which shows that the FitzHugh-Nagumo model is accurately solved and the trajectory of potential transmission is obtained. The numerical results are also reported to verify the convergence results and the stability of the proposed method.     

互连网络的向量图模型

n-超立方体,环网,k元n超立方体,Star网络,煎饼(pancake)网络,冒泡排序(bubble sort)网络,对换树的Cayley图,De Bruijn图,Kautz图,Consecutive-d有向图,循环图以及有向环图等已被广泛的应用做处理机或通信互连网络.这些网络的性能通常通过它们的度,直径,连通度,hamiltonian性,容错度以及路由选择算法等来度量.在本文中,首先,我们提出了有向向量图和向量图的概念;其次,我们开发了有向向量图模型和向量图模型来更好地设计,分析,改良互连网络;我们进一步证明了上述各类著名互连网络都可表示为有向向量图模型或向量图模型;更重要的是该模型能够使我们设计出了新的互连网络---双星网络和三角形网络.     

一类带积分边界条件的三阶微分方程边值问题的解

运用Banach压缩映射原理以及Leray-Schauder连续性原理,在非线性项为L1-Caratheodory函数的条件下,研究了一类带积分边界条件的三阶微分方程边值问题解的唯一性、存在性以及解集的紧性.     

外部边界球可达域上拟共形映射的Lipschitz连续性

定义了外部边界球可达域,利用曲线族的模获得如下结果:设D是R~n中的有界拟凸域,f:D→B~n是K-拟共形映射,若D是外部边界球可达域,则f∈Lip_α(D),其中α=K~(1/(1-n)).     

Instance-based attention: where could humans look first when searching for an object instance

We present an instance-based attention model to predict where humans could look first when searching for an object instance, and we show its application in image synthesis. The proposed model learns configurational rules from vast scene images described by global scene representations. The rules are then used to predict the focus of attention for the purpose of searching for a given object instance with special scale and pose. Finally, the image synthesis results are obtained by putting the object instance into the scene at the position that attracts most attention. Promising experimental results demonstrate the effectiveness of the proposed model.     

Production of annular flat-topped vortex beams

A model of an annular flat-topped vortex beam based on multi-Gaussian superimposition is proposed.We experimentally produce this beam with a computer-generated hologram(CGH) displayed on a spatial light modulator(SLM).The power of the beam is concentrated on a single-ring structure and has an extremely strong radial intensity gradient.This beam facilitates various applications ranging from Sisyphus atom cooling to micro-particle trapping.     

A novel strategy for in situ maskless synthesis of biochips： Self-driving micro-fluid porous type printing （SMPTP）

A novel maskless technique,self-driving micro-fluid porous type printing(SMPTP),was reported to in situ synthesize oligonucleotide arrays on glass slide,which has the merits of low cost,high quality and simple craft.In SMPTP for fabricating gene- chips,porous fiber tubes with a number of nanometric or micron channels functioned as“active letters”and were assembled in designed patterns,which are identical to the distribution of monomers in each layer of the array,and four patterns were needed for each layer.By means of capillarity,the synthesis solution was automatically taken into porous tubes assembled in a printing plate and reached the surface.An oligonucleotide array of 160 features with four different 15-mer probes was in situ synthesized using this technique.The four specific oligonucleotide probes,including the matched and the mismatched by the fluorescent target sequence,gave obviously different hybridization fluorescent signals.