完全4-部图的交叉数

用分情况讨论法证明了完全4-部图K_(1,1,1,n)、K_(1,1,2,n)、K_(1,1,3,n)的交叉数分别为Z(3,n)、Z(4,n) (N/2)、Z(5,n) n (N/2)(n≥1).     

“戏曲进课堂”的香港模式——以香港五旬节林汉光中学的课堂实践为中心

2000年,香港教育当局推行艺术教育改革,建议学校引入多元化的艺术教育。不少中学遂把戏剧引入课程,其中以西方话剧为主。许多中学也尝试引入粤剧,以增加学生对中国文化的认识,香港教育当局也致力于把粤剧融入音乐科课程内。然而,教师遇到的最大困难是学生不愿意唱。笔者是戏剧教师,考虑到初中学生都喜爱在课堂上活动,遂以活动为学习粤剧的切入点,先教学生做和打,然后才学念和唱,又以创作性戏剧为学习模式。实践显示此教学策略既提升学生的学习动机,也提升学习效能。     

Cell-to-cell spread of HIV permits ongoing replication despite antiretroviral therapy

Latency and ongoing replication have both been proposed to explain the drug-insensitive human immunodeficiency virus (HIV) reservoir maintained during antiretroviral therapy. Here we explore a novel mechanism for ongoing HIV replication in the face of antiretroviral drugs. We propose a model whereby multiple infections per cell lead to reduced sensitivity to drugs without requiring drug-resistant mutations, and experimentally validate the model using multiple infections per cell by cell-free HIV in the presence of the drug tenofovir. We then examine the drug sensitivity of cell-to-cell spread of HIV, a mode of HIV transmission that can lead to multiple infection events per target cell. Infections originating from cell-free virus decrease strongly in the presence of antiretrovirals tenofovir and efavirenz whereas infections involving cell-to-cell spread are markedly less sensitive to the drugs. The reduction in sensitivity is sufficient to keep multiple rounds of infection from terminating in the presence of drugs. We examine replication from cell-to-cell spread in the presence of clinical drug concentrations using a stochastic infection model and find that replication is intermittent, without substantial accumulation of mutations. If cell-to-cell spread has the same properties in vivo, it may have adverse consequences for the immune system, lead to therapy failure in individuals with risk factors, and potentially contribute to viral persistence and hence be a barrier to curing HIV infection.     

Cryptic genetic variation promotes rapid evolutionary adaptation in an RNA enzyme

Cryptic variation is caused by the robustness of phenotypes to mutations. Cryptic variation has no effect on phenotypes in a given genetic or environmental background, but it can have effects after mutations or environmental change. Because evolutionary adaptation by natural selection requires phenotypic variation, phenotypically revealed cryptic genetic variation may facilitate evolutionary adaptation. This is possible if the cryptic variation happens to be pre-adapted, or "exapted", to a new environment, and is thus advantageous once revealed. However, this facilitating role for cryptic variation has not been proven, partly because most pertinent work focuses on complex phenotypes of whole organisms whose genetic basis is incompletely understood. Here we show that populations of RNA enzymes with accumulated cryptic variation adapt more rapidly to a new substrate than a population without cryptic variation. A detailed analysis of our evolving RNA populations in genotype space shows that cryptic variation allows a population to explore new genotypes that become adaptive only in a new environment. Our observations show that cryptic variation contains new genotypes pre-adapted to a changed environment. Our results highlight the positive role that robustness and epistasis can have in adaptive evolution.     

Evidence for a spin-aligned neutron-proton paired phase from the level structure of (92)Pd

Shell structure and magic numbers in atomic nuclei were generally explained by pioneering work that introduced a strong spin-orbit interaction to the nuclear shell model potential. However, knowledge of nuclear forces and the mechanisms governing the structure of nuclei, in particular far from stability, is still incomplete. In nuclei with equal neutron and proton numbers (N = Z), enhanced correlations arise between neutrons and protons (two distinct types of fermions) that occupy orbitals with the same quantum numbers. Such correlations have been predicted to favour an unusual type of nuclear superfluidity, termed isoscalar neutron-proton pairing, in addition to normal isovector pairing. Despite many experimental efforts, these predictions have not been confirmed. Here we report the experimental observation of excited states in the N = Z = 46 nucleus (92)Pd. Gamma rays emitted following the (58)Ni((36)Ar,2n)(92)Pd fusion-evaporation reaction were identified using a combination of state-of-the-art high-resolution γ-ray, charged-particle and neutron detector systems. Our results reveal evidence for a spin-aligned, isoscalar neutron-proton coupling scheme, different from the previous prediction. We suggest that this coupling scheme replaces normal superfluidity (characterized by seniority coupling) in the ground and low-lying excited states of the heaviest N = Z nuclei. Such strong, isoscalar neutron-proton correlations would have a considerable impact on the nuclear level structure and possibly influence the dynamics of rapid proton capture in stellar nucleosynthesis.     

Comprehensive analysis of the chromatin landscape in Drosophila melanogaster

Chromatin is composed of DNA and a variety of modified histones and non-histone proteins, which have an impact on cell differentiation, gene regulation and other key cellular processes. Here we present a genome-wide chromatin landscape for Drosophila melanogaster based on eighteen histone modifications, summarized by nine prevalent combinatorial patterns. Integrative analysis with other data (non-histone chromatin proteins, DNase I hypersensitivity, GRO-Seq reads produced by engaged polymerase, short/long RNA products) reveals discrete characteristics of chromosomes, genes, regulatory elements and other functional domains. We find that active genes display distinct chromatin signatures that are correlated with disparate gene lengths, exon patterns, regulatory functions and genomic contexts. We also demonstrate a diversity of signatures among Polycomb targets that include a subset with paused polymerase. This systematic profiling and integrative analysis of chromatin signatures provides insights into how genomic elements are regulated, and will serve as a resource for future experimental investigations of genome structure and function.     

Spatially asymmetric reorganization of inhibition establishes a motion-sensitive circuit

Spatial asymmetries in neural connectivity have an important role in creating basic building blocks of neuronal processing. A key circuit module of directionally selective (DS) retinal ganglion cells is a spatially asymmetric inhibitory input from starburst amacrine cells. It is not known how and when this circuit asymmetry is established during development. Here we photostimulate mouse starburst cells targeted with channelrhodopsin-2 (refs 6-8) while recording from a single genetically labelled type of DS cell. We follow the spatial distribution of synaptic strengths between starburst and DS cells during early postnatal development before these neurons can respond to a physiological light stimulus, and confirm connectivity by monosynaptically restricted trans-synaptic rabies viral tracing. We show that asymmetry develops rapidly over a 2-day period through an intermediate state in which random or symmetric synaptic connections have been established. The development of asymmetry involves the spatially selective reorganization of inhibitory synaptic inputs. Intriguingly, the spatial distribution of excitatory synaptic inputs from starburst cells is significantly more symmetric than that of the inhibitory inputs at the end of this developmental period. Our work demonstrates a rapid developmental switch from a symmetric to asymmetric input distribution for inhibition in the neural circuit of a principal cell.