Structured minimal-memory inexact quasi-Newton method and secant preconditioners for augmented Lagrangian optimization

Augmented Lagrangian methods for large-scale optimization usually require efficient algorithms for minimization with box constraints. On the other hand, active-set box-constraint methods employ unconstrained optimization algorithms for minimization inside the faces of the box. Several approaches may be employed for computing internal search directions in the large-scale case. In this paper a minimal-memory quasi-Newton approach with secant preconditioners is proposed, taking into account the structure of Augmented Lagrangians that come from the popular Powell-Hestenes-Rockafellar scheme. A combined algorithm, that uses the quasi-Newton formula or a truncated-Newton procedure, depending on the presence of active constraints in the penalty-Lagrangian function, is also suggested. Numerical experiments using the Cute collection are presented.

Purification, characterization and sequencing of the major beta-1,3-glucanase from the midgut of Tenebrio molitor larvae

The major beta-1,3-glucanase from Tenebrio molitor (TLam) was purified to homogeneity (yield, 6%; enrichment, 113 fold; specific activity, 4.4 U/mg). TLam has a molecular weight of 50 kDa and a pH optimum of 6. It is an encloglucanase that hydrolyzes beta-1,3-glucans as laminarin and yeast beta-1,3-1,6-glucan, but is inactive toward other polysaccharides (as unbranched beta-1,3-glucans or mixed beta-1,3-1,4-glucan from cereals) or disaccharides. The enzyme is not inhibited by high substrate concentrations and has low processivity (0.6). TLam has two ionizable groups involved in catalysis, and His, Tyr and Arg residues plus a divalent ion at the active site. A Cys residue important for TLam activity is exposed after laminarin binding. The cDNA coding for this enzyme was cloned and sequenced. It belongs to glycoside hydrolase family 16, and is related to other insect glucanases and glucan-binding proteins. Sequence analysis and homology modeling allowed the identification of some residues (E174, E179, H204, Y304, R127 and R181) at the active site of the enzyme, which may be important for TLam activity. TLam efficiently lyses fungal cells, suggesting a role in making available walls and cell contents to digestion and in protecting the midgut from pathogen infections. (C) 2009 Elsevier Ltd. All rights reserved.

Conformational and electronic interaction studies of some p-substituted alpha-methylsulfonyl-alpha-diethoxyphosphorylacetophenones

The analysis of the IR carbonyl band of the alpha-methylsulfonyl-alpha-diethoxyphosphoryl p-substituted acetophenones p-Y-Ph-C(O)CH(SO(2)Me)[P(O)(OEt)(2)] (Y = OMe 1, H 2, F 3, Cl 4, Br 5 and NO(2) 6) supported by HF/6-31G(d,p) ab initio calculations of the alpha-methylsulfonyl-alpha-diethoxyphosphoryl acetophenone 2, indicated the existence of a single stable cl conformer in gas phase and in solvents of increasing polarity, along with the presence of second less stable conformation in gas phase. The cl conformer present the (SO(2)Me) group and the [P(O)(OEt(2))] groups in a syn-clinal (gauche) geometry and is stabilised through of the 0(`60)... P(%), 01NO(owl Crco), ONO)... C(,C*.), 060)... S(`S`02.,) and 0(`S-02) q o) electronic interactions 08along with H(8S*o2M,). 0(660). HU(5C_H2)lP0Erl- 0(8so2m), H(6 +Ph)- - - (co) and H(8o+`-Ph). 0( `Po) intramolecular hydrogen bonds. The almost co nstant negative carbonyl frequency shifts (Av) for the title compounds 1-6 with respect to the parent acetophenones 7-14 corroborates the prevalence of the electronic interactions over the -l(y inductive effect of the ot-substituents for the title compounds and gives strong support for the existence of the crossed 0`(`C-O)... S`(1S+02m,) and 0(""S-02) C(`C+O) (charge transfer and electrostatic); 08-) (co P(`i o) and 01`M-OFt)l C(` o), (electrostatic) interactions. 0 2008 Elsevier B.V. All rights reserved.