增长区域上Lengyel-Epstein系统的Turing不稳定性

建立了一般增长区域上的反应扩散模型,并给出了定义在一种特殊的一维增长区域上的Lengyel-Epstein系统发生Truing不稳定的条件,结论表明如果区域增长速度的散度为零,那么这种变化对系统的稳定性没有影响.     

A reduced‐order extrapolated natural boundary element method based on POD for the 2D hyperbolic equation in unbounded domain

In this article, we primarily focuses to study the order‐reduction for the classical natural boundary element (NBE) method for the two‐dimensional (2D) hyperbolic equation in unbounded domain. To this end, we first build a semi‐discretized format about time for the hyperbolic equation and discuss the existence, stability, and convergence of the time semi‐discretized solutions. We then establish the classical fully discretized NBE format from the time semi‐discretized one and analyze the existence, stability, and convergence of the classical NBE solutions. Next, using proper orthogonal decomposition method, we build a reduced‐order extrapolated NBE (ROENBE) format containing very few unknowns but having adequately high accuracy, and we also discuss the existence, stability, and convergence of the ROENBE solutions. Finally, we use some numerical examples to show that the ROENBE method is far superior to the classical NBE one. It shows that the ROENBE method is reliable and effective for solving the 2D hyperbolic equation with the unbounded domain.     

Corrigendum to “On the Taylor sequence spaces and upper boundedness of Hausdorff matrices and Nörlund matrices” [Indag. Math. 28(3) (2017) 629–636]

The results in Section 4 of the paper “On the Taylor sequence spaces and upper boundedness of Hausdorff matrices and Nörlund matrices” that appeared in this journal (28 (3) (2017), 629–636) are valid only for those summability matrices whose absolute row sums do not exceed 1. For other summability matrices, the corrected results are presented and proved.     

Interaction between a Novel Oligopeptide Fragment of the Human Neurotrophin Receptor TrkB Ectodomain D5 and the C-Terminal Fragment of Tetanus Neurotoxin

This article presents experimental evidence and computed molecular models of a potential interaction between receptor domain D5 of TrkB with the carboxyl-terminal domain of tetanus neurotoxin (Hc-TeNT). Computational simulations of a novel small cyclic oligopeptide are designed, synthesized, and tested for possible tetanus neurotoxin-D5 interaction. A hot spot of this protein-protein interaction is identified in analogy to the hitherto known crystal structures of the complex between neurotrophin and D5. Hc-TeNT activates the neurotrophin receptors, as well as its downstream signaling pathways, inducing neuroprotection in different stress cellular models. Based on these premises, we propose the Trk receptor family as potential proteic affinity receptors for TeNT. In vitro, Hc-TeNT binds to a synthetic TrkB-derived peptide and acts similar to an agonist ligand for TrkB, resulting in phosphorylation of the receptor. These properties are weakened by the mutagenesis of three residues of the predicted interaction region in Hc-TeNT. It also competes with Brain-derived neurotrophic factor, a native binder to human TrkB, for the binding to neural membranes, and for uptake in TrkB-positive vesicles. In addition, both molecules are located together in vivo at neuromuscular junctions and in motor neurons.     

几种油脂分子太赫兹谱分析技术的基础研究

为了探索脂类有机大分子对太赫兹（THz）辐射的吸收特征,以及使用THz对生物有机大分子实现检测和鉴别,使用透射型太赫兹时域光谱（THz-TDS）系统获得了七种植物油、两种调和油的太赫兹吸收光谱,得到它们的特征吸收参数,对比和分析了它们特征吸收峰的差异。结果表明：脂类有机大分子对THz辐射具有差异性吸收,具备在THz波段的识别基础,可通过THz技术进行鉴别和定性分析。     

轴向B-dot束流偏角探测器信号的频域处理

提出一种针对轴向B-dot束流偏角探测器信号的频域处理方法,从探测器本身的频域响应出发,并从探测器信号的频谱中提取有效信息,能够一定程度上消除束流横向偏移对偏角测量的干扰。该方法是对时域分析法处理轴向B-dot信号的一种补充,相比于时域法的一阶近似,对信号频谱的处理更接近对复杂真实情况的近似,但并未从根本上解决由安装误差等原因导致束流横向偏移而带来的测量不准确。从标定试验台测试结果来看,该方法的测试精度与时域法相当,约1 mrad。     

通信机箱内连接器电磁干扰建模与仿真

随着工作频率的提高,通信系统面临的电磁干扰问题日益严重。其中高速连接器信号走线上的高频电流是产生电磁辐射的主要干扰源。对含有复杂元器件的通信机箱进行电磁建模与仿真长期面临结构过于复杂、仿真与测试难以匹配等困难。提出基于机箱Q值测算融合的方法建立等效仿真模型,基于区域分解对干扰源和机箱进行协同仿真,并采用有源叠加实现随机信号叠加效应的仿真分析。提出的分析方法可准确模拟真实机箱的谐振及耗散特性,简化连接器多端口激励随机叠加效应的仿真计算,实现机箱泄漏场强的准确预估。     

理想同心介质球纳米喷流特性

利用有限时域差分方法,对核壳结构进行了模拟研究,得到内核折射率以及内核半径对聚焦光斑纳米喷流特性的影响。研究表明：在内核半径不变的情况下,当内核相对折射率较低时,入射光能量主要集中在内核与外壳层交界区域,此时光波能量有很大一部分处于非聚焦的旁瓣中;当内核折射率超过外层,可以在核壳结构背光面形成双增强点;在内核相对折射率不变的情况下,通过改变内核半径实现了对内、外核聚焦点位置的主动控制。     

同步辐射X射线磁二色性在自旋电子学研究中的应用

文章对同步辐射X射线磁圆二色谱和X射线磁线二色谱的独特优点进行了综合分析,并通过一些典型应用实例说明同步辐射磁性测量技术具有元素分辨能力、高灵敏度、纳米量级空间分辨能力和皮秒量级时间分辨能力,并可用于测量铁磁性和反铁磁性,因而在自旋电子学材料和器件研究领域具有广泛的应用前景.     

有耗介质完全匹配层在时域多分辨分析中的应用

对无耗和有耗介质中的完全匹配问题进行了研究,将广义完全匹配吸收层(GPML)应用到时域多分辨分析（MRTD）中。GPML是在扩展坐标系下由Maxwell方程得到的,在MRTD中实现对GPML的求解,并在频域对GPML进行了有效性分析,得出了GPML在不同空间步长和不同吸收层厚度情况下入射波由真空入射到吸收层的反射系数在频域的分布,并给出了有耗介质中GPML吸收效果的例子。结果表明,GPML的反射系数在一定频率范围内小于-40 dB,且随着计算空间步长的减小和吸收层厚度的增加而减小。GPML既可以用来截断无耗介质也可以用来截断有耗介质,为时域多分辨分析方法提供了一种较为通用的吸收边界。