Solid phase synthesis of the signal sequence of E. coli alkaline phosphatase

A synthetic peptide corresponding to the signal sequence ofE. coli alkaline phosphatase has been synthesized by the solid phase method employing the transesterification method of cleavage from the resin. The protected peptide obtained after cleavage was purified to homogeneity by column chromatography on silica gel, followed by partition chromatography on SephadexLH-20 using organic solvents like chloroform and methanol as eluants.     

Treatment of droplike clusters by means of the classical phase integral in nucleation theory

The translation inconsistency in the theory of nucleation is discussed in historical perspective. A theory is then developed, beginning with the classical phase integral, which not only allows all approximations to be well defined, but also leads to the most natural droplike model for the cluster. The theory makes it possible to apply, in a consistent manner, the thermodynamics of curved surfaces or, alternatively, moleculardynamic numerical computation schemes to the evaluation of the partition function of the cluster. If the cluster is treated as a macroscopic drop (having the free energy of a macroscopic drop), the result for the distribution of clusters differs in only a minor way from that prescribed by the conventional theory of nucleation. It is concluded that for liquid nuclei the conventional theory is consistent, but that a replacement factor may be necessary for solid nuclei. In general, however, the major problems confronting the theory involve the precise evaluation of the work of cluster formation.     

Greedy splitting algorithms for approximating multiway partition problems

Given a system (V,T,f,k), where V is a finite set, is a submodular function and k2 is an integer, the general multiway partition problem (MPP) asks to find a k-partition ={V₁,V₂,...,V_k} of V that satisfiesfor all i and minimizes f(V₁)+f(V₂)+···+f(V_k), where is a k-partition of hold. MPP formulation captures a generalization in submodular systems of many NP-hard problems such as k-way cut, multiterminal cut, target split and their generalizations in hypergraphs. This paper presents a simple and unified framework for developing and analyzing approximation algorithms for various MPPs.Mathematics Subject Classification (1991): 20E28, 20G40, 20C20Acknowledgement This research is partially supported by the Scientific Grant-in-Aid from Ministry of Education, Science, Sports and Culture of Japan. The authors would like to thank the anonymous referees for their valuable comments and suggestions.     

The application analyses for primary spectrum pyrometer

In the applications of primary spectrum pyrometry, based on the dynamic range and the minimum sensibility of the sensor, the application issues, such as the measurement range and the measurement partition, were investigated through theoretical analyses. For a developed primary spectrum pyrometer, the theoretical predictions of measurement range and the distributions of measurement partition were presented through numerical simulations. And the measurement experiments of high-temperature blackbody and standard temperature lamp were processed to further verify the above theoretical analyses and numerical results. Therefore the research in the paper provides the helpful supports for the applications of primary spectrum pyrometer and other radiation pyrometers.     

Identifying stochastic basin hopping by partitioning with graph modularity

It has been known that noise in a stochastically perturbed dynamical system can destroy what was the original zero-noise case barriers in the phase space (pseudobarrier). Noise can cause the basin hopping. We use the Frobenius-Perron operator and its finite rank approximation by the Ulam-Galerkin method to study transport mechanism of a noisy map. In order to identify the regions of high transport activity in the phase space and to determine flux across the pseudobarriers, we adapt a new graph theoretical method which was developed to detect active pseudobarriers in the original phase space of the stochastic dynamic. Previous methods to identify basins and basin barriers require a priori knowledge of a mathematical model of the system, and hence cannot be applied to observed time series data of which a mathematical model is not known. Here we describe a novel graph method based on optimization of the modularity measure of a network and introduce its application for determining pseudobarriers in the phase space of a multi-stable system only known through observed data.     

Energy dependence of non-linear dynamical features in e+e- collisions

A study of the dynamical fluctuation properties at various c.m. Energies in e+e- collisions is performed using the Monte Carlo method. The results suggest that, after the normalized factorial moments of 3-dimensional phase space are analyzed using an isotropical phase space partition, the NFM describing non-linear dynamical properties show a power-law scaling, I.e., the dynamical fluctuations in higher dimensional phase space are isotropic. For c.m. Energies √s≤80 GeV,the scaling exponents φq increase rapidly with the c.m. Energy and for c.m. Energies √s＞80 GeV,the φq gradually saturate.     

燃煤黄铁矿迁移转化模拟的研究

基于已有的动力学数据对单颗粒黄铁矿迁移转化进行了全过程模拟,分析讨论了各种因素对黄铁矿氧化过程和S释放率的影响,结果表明:随着颗粒尺寸的减小和炉膛温度的升高,黄铁矿颗粒的分解氧化过程加快,颗粒在炉内停留很短时间内温度即升高到共融点以上,使颗粒呈混熔态,进而导致灰沉积、结渣.颗粒氧化过程中S的释放主要受扩散控制,其释放速率与颗粒粒径成反比,与氧气浓度和炉膛温度成正比.     

On the Distribution of Eigenvalues of Grand Canonical Density Matrices

Using physical arguments and partition theoretic methods, we demonstrate under general conditions, that the eigenvalues w(m) of the grand canonical density matrix decay rapidly with their index m, like w(m)exp[–B ^–1(ln m)^1+1/ ], where B and are positive constants, O(1), which may be computed from the spectrum of the Hamiltonian. We compute values of B and for several physical models, and confirm our theoretical predictions with numerical experiments. Our results have implications in a variety of questions, including the behaviour of fluctuations in ensembles, and the convergence of numerical density matrix renormalization group techniques.     

Enthalpy and free energy of solubilization for 1-pentanol in anionic + cationic and anionic + nonionic surfactant mixtures

The standard enthalpy of solubilization as well as the partition coefficient of 1-Pentanol between micelles and water have been determined in the whole composition range of two binary surfactant systems from microcalorimetry experiments. The free energy results compare favorably with partition coefficients deduced from a head-space gas-chromatographic technique. It is shown that the surfactant mixing of sodium decylsulfate+decyltrimethylammonium bromide (system I) or sodium dodecylsulfate+dodecylpolyoxyethylene(23) (system II) is unfavorable to micellar solubilization. The solubilization of 1-pentanol is a highly endothermic process for system (I) and only slightly endothermic for system (II). The regular solution approximation predicts qualitatively the standard free energy as well as the standard enthalpy data. These results illustrate a discussion on the limits as well as the usefulness of the regular solution approach as applied to these three-component systems using available solubilization results from the literature for hydrophobic solutes in binary micellar surfactant solutions.