一个连续数方程

用初等方法证明了：当ｎ，正为正整数，ｓ为非负整数，ｇ＝８０ｓ＋２５，丢备图方程无整数解     

Prion-like behaviour and tau-dependent cytotoxicity of pyroglutamylated amyloid-β

Extracellular plaques of amyloid-β and intraneuronal neurofibrillary tangles made from tau are the histopathological signatures of Alzheimer's disease. Plaques comprise amyloid-β fibrils that assemble from monomeric and oligomeric intermediates, and are prognostic indicators of Alzheimer's disease. Despite the importance of plaques to Alzheimer's disease, oligomers are considered to be the principal toxic forms of amyloid-β. Interestingly, many adverse responses to amyloid-β, such as cytotoxicity, microtubule loss, impaired memory and learning, and neuritic degeneration, are greatly amplified by tau expression. Amino-terminally truncated, pyroglutamylated (pE) forms of amyloid-β are strongly associated with Alzheimer's disease, are more toxic than amyloid-β, residues 1-42 (Aβ(1-42)) and Aβ(1-40), and have been proposed as initiators of Alzheimer's disease pathogenesis. Here we report a mechanism by which pE-Aβ may trigger Alzheimer's disease. Aβ(3(pE)-42) co-oligomerizes with excess Aβ(1-42) to form metastable low-n oligomers (LNOs) that are structurally distinct and far more cytotoxic to cultured neurons than comparable LNOs made from Aβ(1-42) alone. Tau is required for cytotoxicity, and LNOs comprising 5% Aβ(3(pE)-42) plus 95% Aβ(1-42) (5% pE-Aβ) seed new cytotoxic LNOs through multiple serial dilutions into Aβ(1-42) monomers in the absence of additional Aβ(3(pE)-42). LNOs isolated from human Alzheimer's disease brain contained Aβ(3(pE)-42), and enhanced Aβ(3(pE)-42) formation in mice triggered neuron loss and gliosis at 3 months, but not in a tau-null background. We conclude that Aβ(3(pE)-42) confers tau-dependent neuronal death and causes template-induced misfolding of Aβ(1-42) into structurally distinct LNOs that propagate by a prion-like mechanism. Our results raise the possibility that Aβ(3(pE)-42) acts similarly at a primary step in Alzheimer's disease pathogenesis.     

Bone marrow cells regenerate infarcted myocardium

Myocardial infarction leads to loss of tissue and impairment of cardiac performance. The remaining myocytes are unable to reconstitute the necrotic tissue, and the post-infarcted heart deteriorates with time. Injury to a target organ is sensed by distant stem cells, which migrate to the site of damage and undergo alternate stem cell differentiation; these events promote structural and functional repair. This high degree of stem cell plasticity prompted us to test whether dead myocardium could be restored by transplanting bone marrow cells in infarcted mice. We sorted lineage-negative (Lin-) bone marrow cells from transgenic mice expressing enhanced green fluorescent protein by fluorescence-activated cell sorting on the basis of c-kit expression. Shortly after coronary ligation, Lin- c-kitPOS cells were injected in the contracting wall bordering the infarct. Here we report that newly formed myocardium occupied 68% of the infarcted portion of the ventricle 9 days after transplanting the bone marrow cells. The developing tissue comprised proliferating myocytes and vascular structures. Our studies indicate that locally delivered bone marrow cells can generate de novo myocardium, ameliorating the outcome of coronary artery disease.     

基于空间认知和社区识别理论的路径选择模型

将启发式决策、空间认知以及社区识别理论结合,描述出行者的路径选择与路网结构的关系。采用基于模块增益的社区结构算法解构路网结构,描述人们的认知过程,建立相应的路径选择算法。以长沙市中心城区路网为例,利用建立的路径选择方法,分别用静态路阻（距离）、动态路阻（速度）对路网进行解构,计算路径选择集;采用问卷调查方法和出租车GPS数据对实际的路径选择轨迹进行提取,并将理论计算结果与实际调查结果进行对比分析,采用静态路阻的一致率为85%,采用动态路阻的一致率为73%。结果表明建立的集成空间认知和模块增益的路径选择模型可以较好地描述人们的路径选择过程,对于静态路阻的路径选择描述具有更高的准确性。研究成果对于城市规划和交通规划具有一定的借鉴价值。     

RNAi-mediated gene silencing in non-human primates

The opportunity to harness the RNA interference (RNAi) pathway to silence disease-causing genes holds great promise for the development of therapeutics directed against targets that are otherwise not addressable with current medicines. Although there are numerous examples of in vivo silencing of target genes after local delivery of small interfering RNAs (siRNAs), there remain only a few reports of RNAi-mediated silencing in response to systemic delivery of siRNA, and there are no reports of systemic efficacy in non-rodent species. Here we show that siRNAs, when delivered systemically in a liposomal formulation, can silence the disease target apolipoprotein B (ApoB) in non-human primates. APOB-specific siRNAs were encapsulated in stable nucleic acid lipid particles (SNALP) and administered by intravenous injection to cynomolgus monkeys at doses of 1 or 2.5 mg kg(-1). A single siRNA injection resulted in dose-dependent silencing of APOB messenger RNA expression in the liver 48 h after administration, with maximal silencing of >90%. This silencing effect occurred as a result of APOB mRNA cleavage at precisely the site predicted for the RNAi mechanism. Significant reductions in ApoB protein, serum cholesterol and low-density lipoprotein levels were observed as early as 24 h after treatment and lasted for 11 days at the highest siRNA dose, thus demonstrating an immediate, potent and lasting biological effect of siRNA treatment. Our findings show clinically relevant RNAi-mediated gene silencing in non-human primates, supporting RNAi therapeutics as a potential new class of drugs.     

Dynamic Analysis of Cable Roofs Under Transient Wind:A Comparison Between Time Domain and Frequency Domain Approaches

At present, high-speed computing capabilities and advanced nonlinear dynamic finite element procedures enable detailed dynamic analysis of cable structures. Although deterministic approaches require considerable analysis time and effort in relation to modeling, running, and data processing, they seem to be the only alternative to obtain high accuracy. Detailed dynamic analysis of cable roof networks is sophisticated and requires advanced modeling expertise. This paper presents a comparison between detailed nonlinear dynamic analysis and a simplified frequency domain approach to estimate the maximum probable response of weakly nonlinear cable roofs. The approach can be considered as alternative to detailed time-domain analysis in the preliminary design phase, or can be used to validate results obtained from more elaborated numerical models. The proposed method is illustrated with two examples of cable net roofs that were also analysed in the time domain.     

Gated regulation of CRAC channel ion selectivity by STIM1

Two defining functional features of ion channels are ion selectivity and channel gating. Ion selectivity is generally considered an immutable property of the open channel structure, whereas gating involves transitions between open and closed channel states, typically without changes in ion selectivity. In store-operated Ca(2+) release-activated Ca(2+) (CRAC) channels, the molecular mechanism of channel gating by the CRAC channel activator, stromal interaction molecule 1 (STIM1), remains unknown. CRAC channels are distinguished by a very high Ca(2+) selectivity and are instrumental in generating sustained intracellular calcium concentration elevations that are necessary for gene expression and effector function in many eukaryotic cells. Here we probe the central features of the STIM1 gating mechanism in the human CRAC channel protein, ORAI1, and identify V102, a residue located in the extracellular region of the pore, as a candidate for the channel gate. Mutations at V102 produce constitutively active CRAC channels that are open even in the absence of STIM1. Unexpectedly, although STIM1-free V102 mutant channels are not Ca(2+)-selective, their Ca(2+) selectivity is dose-dependently boosted by interactions with STIM1. Similar enhancement of Ca(2+) selectivity is also seen in wild-type ORAI1 channels by increasing the number of STIM1 activation domains that are directly tethered to ORAI1 channels, or by increasing the relative expression of full-length STIM1. Thus, exquisite Ca(2+) selectivity is not an intrinsic property of CRAC channels but rather a tuneable feature that is bestowed on otherwise non-selective ORAI1 channels by STIM1. Our results demonstrate that STIM1-mediated gating of CRAC channels occurs through an unusual mechanism in which permeation and gating are closely coupled.     

Bi2WO6-Cu2S复合材料的制备及其有机物降解应用

针对传统光催化剂可见光利用率低下以及体相/界面光生电子-空穴复合严重难题,利用水热法制备二维结构的Bi₂WO₆纳米片,为进一步改善光吸收,基于能级匹配原则,通过水热法在二维Bi₂WO₆纳米片表面原位生长Cu₂S构建Bi₂WO₆-Cu₂S异质结,基于二维Bi₂WO₆纳米片优良的压电性能以及Bi₂WO₆-Cu₂S异质结良好的光吸收及载流子传输性能,构建光-电-压电三种效应协同催化体系,探索最优降解实验条件,并成功用于水中罗丹明B的降解中。结果表明在光-电-压电效应协同作用下,设计的Bi₂WO₆-Cu₂S对罗丹明B的降解率在40 min内达到87%,为利用光电催化和压电催化的协同作用设计独特的异质结结构开辟了一条新途径。     

海洋放射性现场探测谱仪的机械优化设计

为提高海洋放射性现场探测NaI(Tl)谱仪的探测性能,采用蒙特卡罗仿真和统计计算方法,研究和分析谱仪封装、材料和尺寸等机械设计对探测性能的影响规律。综合考虑伽马射线衰减和密封、耐压及耐腐蚀等要求,开展谱仪的机械优化设计和海上现场检测实验。优化谱仪达到了对40K最小探测活度约0.30 Bq/L,现场测量相对误差为0.45%。该研究对海洋放射性现场探测谱仪的性能优化设计和现场应用具有重要的指导意义。     

纳米银对小麦秸秆还田土壤中酶活性及微生物群落功能多样性的影响

采用室内培养的方式,设置空白对照组（无添加,CK）、土壤＋小麦秸秆组（SW）、土壤+小麦秸秆+纳米银组（AgSW）,探究纳米银对秸秆还田农田土壤的呼吸作用,碳循环相关酶包括过氧化物酶、多酚氧化酶和纤维素酶的活性,微生物群落功能多样性的影响。结果显示：与CK组相比,添加小麦秸秆的SW组提升了土壤呼吸速率,使CO₂累计释放量增加了9.9%;与SW组相比,添加纳米银的AgSW组抑制了土壤呼吸作用,CO₂累计释放量减少36.8%,同时3种酶活性显著降低,过氧化物酶、多酚氧化酶和纤维素酶的活性可分别最高降低25.1%、27.1%和14.3%;微生物群落水平生理特征(CLPP)分析结果发现,纳米银显著降低了微孔板平均孔颜色变化率（与SW组相比下降了73.8%）和微生物多样性与丰富度。研究认为纳米银通过抑制土壤酶与微生物活性改变了土壤有机质分解的生态学过程,使微生物群落功能多样性降低。