与轴向力在同一平面上的初始挠度对单层褶皱的影响

讨论了岩层初始挠度对单层褶皱的影响；运用数理理论求出自由岩层褶皱的挠度微分方程以及临界轴向压力ｐ与岩层弯曲的褶皱波阶数之间的关系，从而说明了在自由岩层受力褶皱时，与轴向力在同一平面上的初始挠度以一阶波影响最大．这对进一步研究岩层的褶皱变形有一定的理论意义．     

Structure Characterization of the Folding Intermediates of Proteins

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Effect of alanine versus glycine in alpha-helices on protein stability.

The rational design of proteins requires knowledge of the helix-forming propensities (s-values) of the different amino acids. There is, however, considerable controversy about the relative values for alanine and glycine. We find from experiments on mutants of barnase that the relative effect of Ala versus Gly on helix stability depends crucially on the position in the helix (whether they are at the ends (caps) or are internal) and the context (the influence of their neighbours). Glycine is greatly preferred at the N and C caps. At internal positions, Ala stabilizes the helix relative to Gly by 0.4 to 2 kcal mol-1. The variation results from a combination of burial of hydrophobic surface on folding and interference with hydrogen bonding of the protein with solvent. There is a good empirical correlation between the relative stabilizing effects of Ala and Gly with the total change in solvent-accessible hydrophobic surface area of the folded protein on mutation of Gly to Ala. It is not valid to assign to each amino acid a unique s-value that is generally applicable to all positions in all helices in all proteins.     

Role of ATP and disulphide bonds during protein folding in the endoplasmic reticulum.

Being topologically equivalent to the extracellular space, the lumen of the endoplasmic reticulum (ER) provides a unique folding environment for newly synthesized proteins. Unlike other compartments in the cell where folding occurs, the ER is oxidizing and therefore can promote the formation of disulphide bonds. The reducing agent dithiothreitol, when added to living cells, inhibits disulphide formation with profound effects on folding. Taking advantage of this effect, we demonstrate here that folding of influenza haemagglutinin is energy dependent. Metabolic energy is required to support the correct folding and disulphide bond formation in this well characterized viral glycoprotein, to rescue misfolded proteins from disulphide-linked aggregates, and to maintain the oxidized protein in its folded and oligomerization-competent state.     

惯性折叠式轮胎成型机头的稳定性分析

深入分析了惯性折叠式轮胎成型机头的工作原理,提出机头稳定性的概念,建立了机头稳定性定量分析的数学模型。在此基础上,着重研究了机头几何及物理参数对机头稳定性的影响,建立了机头稳定性的定量评价指标及相应的计算方法。     

类星体PKS 1510-089射电流量周期特性分析及黑洞质量估计

基于Metshovi射电观测数据库获得的PKS 1510-089在22 GHz射电波段从1991到2005年的流量变化数据,利用χ2评估方法分析其周期性,得到3.2年的变化周期,与先前报道的1.8年有所不同.通过复原折叠周期计算了它与光变曲线的相对误差,得到3.2年的误差26.8%要比1.8年的误差30.3%小.最后,利用薄吸积盘理论估算了PKS 1510-089的中心黑洞质量下限,并对粘滞系数和多普勒因子进行了讨论.     

Atom-by-atom analysis of global downhill protein folding

Protein folding is an inherently complex process involving coordination of the intricate networks of weak interactions that stabilize native three-dimensional structures. In the conventional paradigm, simple protein structures are assumed to fold in an all-or-none process that is inaccessible to experiment. Existing experimental methods therefore probe folding mechanisms indirectly. A widely used approach interprets changes in protein stability and/or folding kinetics, induced by engineered mutations, in terms of the structure of the native protein. In addition to limitations in connecting energetics with structure, mutational methods have significant experimental uncertainties and are unable to map complex networks of interactions. In contrast, analytical theory predicts small barriers to folding and the possibility of downhill folding. These theoretical predictions have been confirmed experimentally in recent years, including the observation of global downhill folding. However, a key remaining question is whether downhill folding can indeed lead to the high-resolution analysis of protein folding processes. Here we show, with the use of nuclear magnetic resonance (NMR), that the downhill protein BBL from Escherichia coli unfolds atom by atom starting from a defined three-dimensional structure. Thermal unfolding data on 158 backbone and side-chain protons out of a total of 204 provide a detailed view of the structural events during folding. This view confirms the statistical nature of folding, and exposes the interplay between hydrogen bonding, hydrophobic forces, backbone conformation and side-chain entropy. From the data we also obtain a map of the interaction network in this protein, which reveals the source of folding cooperativity. Our approach can be extended to other proteins with marginal barriers (less than 3RT), providing a new tool for the study of protein folding.     

Cyclophilin and peptidyl-prolyl cis-trans isomerase are probably identical proteins

The enzyme peptidyl-prolyl cis-trans isomerase (PPIase) was recently discovered in mammalian tissues and purified from porcine kidney. It catalyses the slow cis-trans isomerization of proline peptide (Xaa-Pro) bonds in oligopeptides and accelerates slow, rate-limiting steps in the folding of several proteins. Here, we report the N-terminal sequence of PPIase together with further chemical and enzymatic properties. The results indicate that this enzyme is probably identical to cyclophilin, a recently discovered mammalian protein which binds tightly to cyclosporin A (CsA). Cyclophilin is thought to be linked to the immunosuppressive action of CsA. The first 38 amino-acid residues of porcine PPIase and of bovine cyclophilin are identical and the two proteins both have a relative molecular mass of about 17,000 (ref. 7). The catalysis of prolyl isomerization in oligopeptides and of protein folding by PPIase are strongly inhibited in the presence of low levels of CsA. The activities of both PPIase and cyclophilin depend on a single sulphydryl group. At present it is unknown whether the inhibition of prolyl isomerase activity is related with the immunosuppressive action of CsA.     

基于kn连接关系的图的着色问题与"折叠法"

引入了一类基于连接关系的图,并结合“折叠法”对该类图的着色问题与四色猜想进行了研究,给出了四色猜想的一个必要条件和一个等价命题的证明．最后提出了相关的猜想．     

仿真褶皱材质在3DS MAX虚拟现实中的应用

材质是利用3DS MAX制作室内外效果图的重要环节,褶皱材质是3DS MAX材质中的一个分支,它可以体现虚拟物体的仿真效果。文章通过对Bump（凹凸贴图）和Displacement（置换贴图）的探讨,对褶皱材质两种不同的制作方法进行了详细的分析,并为在虚拟现实中制作具有仿真性的褶皱材质提供了解决办法。     

Energetic landscape of alpha-lytic protease optimizes longevity through kinetic stability.

During the evolution of proteins the pressure to optimize biological activity is moderated by a need for efficient folding. For most proteins, this is accomplished through spontaneous folding to a thermodynamically stable and active native state. However, in the extracellular bacterial alpha-lytic protease (alphaLP) these two processes have become decoupled. The native state of alphaLP is thermodynamically unstable, and when denatured, requires millennia (t1/2 approximately 1,800 years) to refold. Folding is made possible by an attached folding catalyst, the pro-region, which is degraded on completion of folding, leaving alphaLP trapped in its native state by a large kinetic unfolding barrier (t1/2 approximately 1.2 years). alphaLP faces two very different folding landscapes: one in the presence of the pro-region controlling folding, and one in its absence restricting unfolding. Here we demonstrate that this separation of folding and unfolding pathways has removed constraints placed on the folding of thermodynamically stable proteins, and allowed the evolution of a native state having markedly reduced dynamic fluctuations. This, in turn, has led to a significant extension of the functional lifetime of alphaLP by the optimal suppression of proteolytic sensitivity.     

Applying genetic algorithms to the study of protein mutation theory

Genetic algorithms were applied to the study of simulation of protein mutation carried out on two_dimensional lattice model; to the study of effects of single mutation and double mutation on protein folding and protein structure stability. It is found that in two_dimensional lattice models, replacement of inner core hydrophobic residue by hydrophilic residue will result in reduction of protein stability; at the same time the number of residues of protein surface relatively grows with increase of protein chain length; and most mutations occur in residues of protein surface, these mutations are all neutral and have no effects on protein natural structure. The two mutations of double mutation are interactive and related to each other.     

从高分子构象与动力学到蛋白质折叠

针对作用在聚合物刷上的键拉力研究表明作用在接枝基面上的力随着聚合物刷接枝密度的增大反而减小,然而尾端单体上的拉伸张力并没有消失.高分子的构象和动力学转变决定了其物性和多种多样的应用,而生物大分子蛋白质作为由二十种不同属性的氨基酸构成的序列,更是具有由其序列所决定的特别的三维自然结构.本文就聚合物刷、聚合物纳米复合材料、聚合物网络等几种高分子体系的构象与动力学过程,及蛋白质构象和其折叠与去折叠的动力学过程做了介绍.特别是蛋白质的折叠与去折叠速率在单分子操纵实验中受到拉力的调控,通过测量这种拉力依赖的动力学过程、蛋白质的自由能曲面和折叠去折叠路径可以得到系统全面的研究.本文以肌肉蛋白titin的免疫球蛋白结构域I27为例对蛋白质折叠研究进行了阐述.     

Absolute comparison of simulated and experimental protein-folding dynamics

Protein folding is difficult to simulate with classical molecular dynamics. Secondary structure motifs such as alpha-helices and beta-hairpins can form in 0.1-10 micros (ref. 1), whereas small proteins have been shown to fold completely in tens of microseconds. The longest folding simulation to date is a single 1- micro s simulation of the villin headpiece; however, such single runs may miss many features of the folding process as it is a heterogeneous reaction involving an ensemble of transition states. Here, we have used a distributed computing implementation to produce tens of thousands of 5-20-ns trajectories (700 micros) to simulate mutants of the designed mini-protein BBA5. The fast relaxation dynamics these predict were compared with the results of laser temperature-jump experiments. Our computational predictions are in excellent agreement with the experimentally determined mean folding times and equilibrium constants. The rapid folding of BBA5 is due to the swift formation of secondary structure. The convergence of experimentally and computationally accessible timescales will allow the comparison of absolute quantities characterizing in vitro and in silico (computed) protein folding.     

Verification of the Crooks fluctuation theorem and recovery of RNA folding free energies

Atomic force microscopes and optical tweezers are widely used to probe the mechanical properties of individual molecules and molecular interactions, by exerting mechanical forces that induce transitions such as unfolding or dissociation. These transitions often occur under nonequilibrium conditions and are associated with hysteresis effects-features usually taken to preclude the extraction of equilibrium information from the experimental data. But fluctuation theorems allow us to relate the work along nonequilibrium trajectories to thermodynamic free-energy differences. They have been shown to be applicable to single-molecule force measurements and have already provided information on the folding free energy of a RNA hairpin. Here we show that the Crooks fluctuation theorem can be used to determine folding free energies for folding and unfolding processes occurring in weak as well as strong nonequilibrium regimes, thereby providing a test of its validity under such conditions. We use optical tweezers to measure repeatedly the mechanical work associated with the unfolding and refolding of a small RNA hairpin and an RNA three-helix junction. The resultant work distributions are then analysed according to the theorem and allow us to determine the difference in folding free energy between an RNA molecule and a mutant differing only by one base pair, and the thermodynamic stabilizing effect of magnesium ions on the RNA structure.     

Solution structure of a protein denatured state and folding intermediate

The most controversial area in protein folding concerns its earliest stages. Questions such as whether there are genuine folding intermediates, and whether the events at the earliest stages are just rearrangements of the denatured state or progress from populated transition states, remain unresolved. The problem is that there is a lack of experimental high-resolution structural information about early folding intermediates and denatured states under conditions that favour folding because competent states spontaneously fold rapidly. Here we have solved directly the solution structure of a true denatured state by nuclear magnetic resonance under conditions that would normally favour folding, and directly studied its equilibrium and kinetic behaviour. We engineered a mutant of Drosophila melanogaster Engrailed homeodomain that folds and unfolds reversibly just by changing ionic strength. At high ionic strength, the mutant L16A is an ultra-fast folding native protein, just like the wild-type protein; however, at physiological ionic strength it is denatured. The denatured state is a well-ordered folding intermediate, poised to fold by docking helices and breaking some non-native interactions. It unfolds relatively progressively with increasingly denaturing conditions, and so superficially resembles a denatured state with properties that vary with conditions. Such ill-defined unfolding is a common feature of early folding intermediate states and accounts for why there are so many controversies about intermediates versus compact denatured states in protein folding.     

Folding Kinetics of HDV Ribozyme with C13A:G82U and A16U:U79A Mutations

Gene mutations influence the folding kinetics of hepatitis delta virus(HDV) ribozyme. In this work, we study the effect of the double mutation on the folding kinetics of HDV ribozyme. By using the master equation method combined with RNA folding free energy landscape, we predict the folding kinetics of C13A:G82U and A16U:U79A mutated HDV sequences. Their folding pathways are identified by recursively searching the states with high net flux-in(out) population starting from the native state. The results indicate that the folding kinetics of C13A:G82U mutation sequence is bi-phasic, which is similar to the wild type(wt HDV) sequence. While the folding kinetics of A16U:U79A mutation sequence is mono-phasic, it quickly folds to the native state in 30 s. Thus, the folding kinetics of double mutated HDV ribozyme depends on the mutation sites.     

Folding of a single polymer chain and phase transition

Using an ultra-sensitive differential scanning calorimetry （US-DSC）, we have investigated the folding and aggregation behaviors of poly（N-isopropylacrylamide） （PNIPAM） chains in dilute and semidilute solutions. In the heating process, the intrachain folding and interchain aggregation simultaneously occur in the dilute solutions, and the ratio of intrachain folding increases with decreasing concentra- tion. In the semidilute solutions, PNIPAM chains show limited interchain aggregation with elevated temperature, because most of the PNIPAM chains have been collapsed at lower temperature. In an ex- tremely dilute solution, PNIPAM chains undergo a single folding transition in the heating process. By extrapolating heating rate and concentration to zero, we have obtained the phase transition tempera- ture （Ts） and enthalpy change （Arts） of the single chain folding. AHs is higher than that for a phase transition involving intrachain collapse and interchain aggregation, indicating that a single chain fold- ing can not be taken to be a macroscopic phase transition.     

Characterization of the Partially Folded Monomeric Intermediate of Creatine Kinase

IntroductionRecent studies of the protein folding pathway andintermediate states in vitro and in vivo haveinduced much interest in the importance ofunderstanding the propertiesof partially structuredintermediates[1 7] . Studies have suggested thatintermed…     

基于折叠光学模型分析d+~(24)Mg反应

基于折叠光学模型理论,把核子的光学势通过折叠积分,构造出了氘核的光学势.以d+24Mg反应为例,比较了核子光学势取唯象普适光学势和基于有效Skyrme力参数Ska得到的微观核子光学势的计算结果.计算结果表明,用普适核子光学势和基于有效Skyrme力得到的微观核子光学势所构造出的氘核光学势所计算的理论值与实验数据基本符合.