A Regularly Preemptive Model and its Approximations

A regularly preemptive model D,MAP/D ₁,D ₂/1 is studied. Priority customers have constant inter-arrival times and constant service times. On the other hand, ordinary customers' arrivals follow a Markovian Arrival Process (MAP) with constant service times. Although this model can be formulated by using the piecewise Markov process, there remain some difficult problems on numerical calculations. In order to solve these problems, a novel approximation model MAP/MR/1 with Markov renewal services is proposed. These two queueing processes become different due to the existence of idle periods. Thus, a MAP/MR/1 queue with a general boundary condition is introduced. It is a model with the exceptional first service in each busy period. In particular, two special models are studied: one is a warm-up queue and the other is a cool-down queue. It can be proved that the waiting time of ordinary customers for the regular preemption model is stochastically smaller than the waiting time of the former model. On the other hand, it is stochastically larger than the waiting time of the latter model.     

Parametrization of calcium binding site in proteins and molecular dynamics simulation on phospholipase A2

The empirical energy parameters for a calcium ion and its ligands in proteins were determined within a pairwise additive framework. The interaction energies of Ca²⁺-water, Ca²⁺-peptide group and Ca²⁺-carboxyl group systems were calculated using the ab initio molecular orbital method with basis sets of double zeta quality including polarization or diffuse functions. The resulting potential energy surfaces served as references for the determination of the nonbonded parameters in the empirical energy function. The nonadditive corrections for the Ca²⁺-ligand pair potentials are incorporated implicitly in the nonbonded paremeters by treating three-body (1:2 complex) or seven-body (1:6 complex) systems in reference calculations. Ligand polarizations induced by Ca²⁺ are estimated from the partial atomic charges of two-body (1:1 complex) systems. The charge sets were determined by scaling so as to reproduce the reference potential energy surfaces. The newly determined parameter set was used in a stochastic boundary molecular dynamics simulation of phospholipase A₂. The solvated structure of the Ca²⁺-binding site obtained from an X-ray crystallographic study is well reproduced by the parameter set.     

Multi-period resource allocation for estimating project costs in competitive bidding

Central European Journal of Operations Research - In competitive bidding for project contracts, contractors estimate the cost of completing a project and then determine the bid price. Accordingly,...     

Phase structure change and ER effect in liquid crystalline polymer/dimethylsiloxane blends

The mechanism of the electrorheological (ER) effect in two types of liquid crystalline polymer (LCP)/dimethylsiloxane (DMS) blends was investigated by rheological measurements and by structure observation under electric field and shear flow. The results show that the phase structures of these immiscible blends can be categorized into slipping (low viscosity) and non-slipping (high viscosity) states. In the non-slipping state, higher viscosity LCP domains connect the electrodes. In the slipping state, on the other hand, LCP domains do not connect the electrodes and the shear is mainly confined in the lower viscosity DMS domains. The ER effect (electrically induced viscosity increase) originates from the electrically induced slipping to non-slipping transition. In one of the blends, the ER effect occurs only at high shear rate, since this blend is in non-slipping state even under no field if the shear rate is low. Received: 29 April 1997 Accepted: 3 November 1997     

Hydrosilanes are not always a reducing reagent: a ruthenium-catalyzed introduction of primary alkyl groups to electron-rich aromatic rings using esters as a source of the alkyl groups

A triruthenium cluster, (μ₃, η², η³, η⁵-acenaphthylene)Ru₃(CO)₇ effectively catalyzes primary-alkylation reaction of electron-rich aromatic rings using a combination of hydrosilane and ester as a source of the primary-alkyl group. The reaction involves electrophilic substitution of arenes by carbocationic species stabilized by a neighboring alkoxy or siloxy group generated during the reduction of esters giving alkylated arenes after reductive removal of the alkoxy or siloxy group at the benzylic position.     

New approach to oligotriazoles using a cobalt complex of propargyl azides as a synthetic component

We have developed an efficient method for preparation of triazolamers using a dicobalt hexacarbonyl complex of propargyl azides (CPA) as a synthetic component. Several types of CPAs possessing the side chains found in the natural amino acids were prepared by Nicholas reaction as well as by a reaction of propargyl azides with dicobalt octacarbonyl. Triazolamers with both amino and carboxyl termini were readily synthesized by repetitive reaction sequence involving a copper-catalyzed 1,3-dipolar cycloaddition followed by an oxidative deprotection.     

Stacked 1,3,5-tris[(2,5-dimethylphenyl)ethynyl]benzenes: dimer and conjugated microporous polymer

A new [2.2]paracyclophane compound consisting of two 1,3,5-tris[(2,5-dimethylphenyl)ethynyl]benzenes stacked in proximity to each other. The compound exhibited a unique absorption band (cyclophane band) and an emission from the phane state, both of which were derived from the π-π stacking of the poorly extended conjugation systems of 1,3,5-tris[(2,5-dimethylphenyl)ethynyl]benzene. In addition, a conjugated microporous polymer (CMP) that comprises pseudo-para-substituted [2.2]paracyclophane was prepared. The obtained CMP is regarded as a polymer, in which 1,3,5-tris[(2,5-dimethylphenyl)ethynyl]benzenes are infinitely stacked to form a network structure. The CMP exhibited a type I nitrogen gas sorption profile and an H4-like hysteresis loop, and possessed the slit-like mesopores with a BET surface area of 501 m² g⁻¹.     

Mapping of the primary mannose binding site of pradimicin A

Pradimicin A (PRM-A) is an actinomycete-derived antibiotic with the lectin-like property of being able to recognize D-mannopyranoside (Man) in the presence of Ca(2+) ion. PRM-A and its derivatives have been attracting a great deal of attention as the only family of natural carbohydrate receptors with nonpeptidic skeleton and, more recently, as conceptually novel drug candidates for human immunodeficiency virus (HIV). Despite its scientific interest and potential therapeutic importance, understanding how PRM-A recognizes Man has been severely limited. Conventional interaction analysis of PRM-A with Man in solution has been frustrated by aggregation of PRM-A and the three-component equilibrium consisting of the [PRM-A(2)/Ca(2+)], [PRM-A(2)/Ca(2+)/Man(2)], [PRM-A(2)/Ca(2+)/Man(4)] complexes, and their mixed oligomers. In this Article, we demonstrate the interaction analysis of PRM-A with methyl α-D-mannopyranoside (Man-OMe) in the solid state, which benefits from aggregate-forming propensity of PRM-A and eliminates the problem associated with the complicated equilibrium in solution. Isothermal titration calorimetry (ITC) analysis and coprecipitation experiments revealed that the primary Man binding of PRM-A is markedly tighter than the secondary one, leading to preparation of the solid aggregate solely composed of the [PRM-A(2)/Ca(2+)/Man-OMe(2)] complex. The simple 1:1 complexes of biosynthetically (13)C-enriched PRM-As and [(13)C(6)]Man-OMe facilitated the analysis of the primary Man binding of PRM-A by two-dimensional dipolar-assisted rotational resonance (2D-DARR), which clearly identified that the cavity consisted of D-alanine moiety and ABC rings of PRM-A is the Man binding site. Interestingly, the proposed Man binding site of PRM-A seems to resemble the typical architecture of artificial carbohydrate receptors.