Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

In this paper, we study the convergence of the sequence defined by

where and is a nonexpansive mapping from a closed convex subset of a Banach space into itself.

     

An application of the novel quantum mechanical/molecular mechanical method combined with the theory of energy representation: An ionic dissociation of a water molecule in the supercritical water

A novel quantum chemical approach recently developed has been applied to an ionic dissociation of a water molecule (2H(2)O-->H(3)O(+)+OH(-)) in ambient and supercritical water. The method is based on the quantum mechanical/molecular mechanical (QM/MM) simulations combined with the theory of energy representation (QM/MM-ER), where the energy distribution function of MM solvent molecules around a QM solute serves as a fundamental variable to determine the hydration free energy of the solute according to the rigorous framework of the theory of energy representation. The density dependence of the dissociation free energy in the supercritical water has been investigated for the density range from 0.1 to 0.6 g/cm(3) with the temperature fixed at a constant. It has been found that the product ionic species significantly stabilizes in the high density region as compared with the low density. Consequently, the dissociation free energy decreases monotonically as the density increases. The decomposition of the hydration free energy has revealed that the entropic term (-TDeltaS) strongly depends on the density of the solution and dominates the behavior of the dissociation free energy with respect to the variation of the density. The increase in the entropic term in the low density region can be attributed to the decrease in the translational degrees of freedom brought about by the aggregation of solvent water molecules around the ionic solute.     

Resistant mechanism against nelfinavir of human immunodeficiency virus type 1 proteases

Inhibitors against human immunodeficiency virus type-1 (HIV-1) proteases are finely effective for anti-HIV-1 treatments. However, the therapeutic efficacy is reduced by the rapid emergence of inhibitor-resistant variants of the protease. Among patients who failed in the inhibitor nelfinavir (NFV) treatment, D30N, N88D, and L90M mutations of HIV-1 protease are often observed. Despite the serious clinical problem, it is not clear how these mutations, especially nonactive site mutations N88D and L90M, affect the affinity of NFV or why they cause the resistance to NFV. In this study, we executed molecular dynamics simulations of the NFV-bound proteases in the wild-type and D30N, N88D, D30N/N88D, and L90M mutants. Our simulations clarified the conformational change at the active site of the protease and the change of the affinity with NFV for all of these mutations, even though the 88th and 90th residues are not located in the NFV-bound cavity and not able to directly interact with NFV. D30N mutation causes the disappearance of the hydrogen bond between the m-phenol group of NFV and the 30th residue. N88D mutation alters the active site conformation slightly and induces a favorable hydrophobic contact. L90M mutation dramatically changes the conformation at the flap region and leads to an unfavorable distortion of the binding pocket of the protease, although 90M is largely far apart from the flap region. Furthermore, the changes of binding energies of the mutants from the wild-type protease are shown to be correlated with the mutant resistivity previously reported by the phenotypic experiments.     

Roles of electrolytes on charge recombination in dye-sensitized TiO(2) solar cells (2): the case of solar cells using cobalt complex redox couples

Dye-sensitized solar cells (DSC) were prepared from nanoporous TiO(2) electrodes with two different cobalt complex redox couples, propylene-1,2-bis(o-iminobenzylideneaminato)cobalt(II) {Co(II)(abpn)} and tris(4,4'-di-tert-buthyl-2,2'-bipyridine)cobalt(II) diperchlorate {Co(II)(dtb-bpy)(3)(ClO(4))(2)}. The performances of the DSCs were examined with varying the concentrations of the redox couples and Li cations in methoxyacetonitrile. Under 1 sun conditions, short-circuit currents (J(sc)) increased with the increase of the redox couple concentration, and the maximum J(sc) was found at the Li(+) concentration of 100 mM. To rationalize the observed trends of J(sc), electron diffusion coefficients and lifetimes in the DSCs were measured. Electron diffusion coefficients in the DSCs using cobalt complexes were comparable to the previously reported values of nanoporous TiO(2). Electron lifetime was independent of the concentration of the redox couples when the concentration ratio of Co(II)(L) and Co(III)(L) was fixed. With the increase of Li(+) concentration, the electron lifetime increased. These results were interpreted as due to their slow charge-transfer kinetics and the cationic nature of Co complex redox couples, in contrast to the anionic redox couple of I(-)/I(3)(-). The increase of the lifetimes with Li(+) was interpreted with the decrease of the local concentration of Co(III) near the surface of TiO(2). The addition of 4-tert-butylpyridine (tBP) with the presence of Li(+) increased J(sc) significantly. The observed increase of the electron lifetime by tBP could not explain the large increase of J(sc), implying that tBP facilitates the charge transfer from Co(II)(L) to dye cation, with the association of the change of the reorganization energy between Co(II) and Co(III).     

Comparative molecular dynamics study of ether- and ester-linked phospholipid bilayers

The lipid membranes found in archaea have high bilayer stability and low permeability. The molecular structure of their constituent lipids is characterized by ether-linked, branched hydrophobic chains, whereas the conventional lipids obtained from eukaryotic or eubacterial sources have ester linked straight chains. In order to elucidate the influence of the ether linkage, instead of an ester one, on the physical properties of the lipid bilayers, we have carried out comparative 10 ns molecular dynamics simulations of diphytanyl phosphatidylcholine (ether-DPhPC) and diphytanoyl phosphatidylcholine (ester-DPhPC) bilayers in water, respectively. We analyze bilayer structures, hydration of the lipids, membrane dipole potentials, and free energy profiles of water and oxygen across the bilayers. We observe that the membrane dipole potential for the ether-DPhPC bilayer, which arises mainly from the ether linkage, is about half of that of the ester-DPhPC. The calculated free energy barrier for a water molecule in the ether-DPhPC bilayer system is slightly higher than that in the ester-DPhPC counterpart, which is in accord with experimental data.     

Synthesis of Chitin Oligosaccharides Using Dried <Emphasis Type="Italic">Stenotrophomonas maltophilia</Emphasis> Cells Containing a Transglycosylation Reaction-Catalyzing β<Emphasis Type="Italic">-N-</Emphasis>Acetylhexosaminidase as a Whole-Cell Catalyst

Bacterial strain NYT501, which we previously isolated from soil, was identified as Stenotrophomonas maltophilia, and it was confirmed that this strain produces an intracellular β-N-acetylhexosaminidase exhibiting transglycosylation activity. Several properties of this enzyme were characterized using a partially purified enzyme preparation. Using N,N′-diacetylchitobiose (GlcNAc)₂ and N,N′,N″-triacetylchitotriose (GlcNAc)₃ as substrates and dried cells of this bacterium as a whole-cell catalyst, chitin oligosaccharides of higher degrees of polymerization were synthesized. (GlcNAc)₃ was generated from (GlcNAc)₂ as the major transglycosylation product, and a certain amount of purified sample of the trisaccharide was obtained. By contrast, in the case of the reaction using (GlcNAc)₃ as a substrate, the yield of higher-degree polymerization oligosaccharides was comparatively low.     

Regioselective acylation of 6-O-protected octyl β-d-glucopyranosides by DMAP catalysis

Regioselectivity of acylation of 6-O-protected octyl β-d-glucopyranosides was investigated. Treatment of octyl 6-O-methyl-β-d-glucopyranoside with isobutyric anhydride in the presence of DMAP in toluene at −40 °C gave 3-O-isobutyryl derivative in >99% regioselectivity. Similar treatment of octyl 6-O-TBS-β-d-glucopyranoside at −20 °C also gave 3-O-isobutyryl derivative in >99% regioselectivity.     

Dihydrosilaanthracenylidene and dihydroanthracenylidene

Carbenes generated from 10-diazo-9,9-dimethyl-9,10-dihydro-9-silaanthracene and 10-diazo-9,9-dimethyl-9,10-dihydroanthracene gave hydrogen abstraction products by the triplet nature of these carbenes. The triplet dihydrosilaanthracenylidene was shown by the electron spin resonance study.