A homogeneous Rayleigh quotient with applications in gradient methods

Given an approximate eigenvector, its (standard) Rayleigh quotient and harmonic Rayleigh quotient are two well-known approximations of the corresponding eigenvalue. We propose a new type of Rayleigh quotient, the homogeneous Rayleigh quotient, and analyze its sensitivity with respect to perturbations in the eigenvector. Furthermore, we study the inverse of this homogeneous Rayleigh quotient as stepsize for the gradient method for unconstrained optimization.The notion and basic properties are also extended to the generalized eigenvalue problem

A homogeneous Rayleigh quotient with applications in gradient methods

Given an approximate eigenvector, its (standard) Rayleigh quotient and harmonic Rayleigh quotient are two well-known approximations of the corresponding eigenvalue. We propose a new type of Rayleigh quotient, the homogeneous Rayleigh quotient, and analyze its sensitivity with respect to perturbations in the eigenvector. Furthermore, we study the inverse of this homogeneous Rayleigh quotient as stepsize for the gradient method for unconstrained optimization. The notion and basic properties are also extended to the generalized eigenvalue problem

Limited memory gradient methods for unconstrained optimization

The limited memory steepest descent method (Fletcher, 2012) for unconstrained optimization problems stores a few past gradients to compute multiple stepsizes at once. We review this method and propose new variants. For strictly convex quadratic objective functions, we study the numerical behavior of different techniques to compute new stepsizes. In particular, we introduce a method to improve the use of harmonic Ritz values. We also show the existence of a secant condition associated with LMSD, where the approximating Hessian is projected onto a low-dimensional space. In the general nonlinear case, we propose two new alternatives to Fletcher's method: first, the addition of symmetry constraints to the secant condition valid for the quadratic case; second, a perturbation of the last differences between consecutive gradients, to satisfy multiple secant equations simultaneously. We show that Fletcher's method can also be interpreted from this viewpoint

Organ hypertrophic signaling within caveolae membrane subdomains triggered by ouabain and antagonized by PST 2238

In addition to inhibition of the Na-K ATPase, ouabain activates a signal transduction function, triggering growth and proliferation of cultured cells even at nanomolar concentrations. An isomer of ouabain (EO) circulates in mammalians at subnanomolar concentrations, and increased levels are associated with cardiac hypertrophy and hypertension. We present here a study of cardiac and renal hypertrophy induced by ouabain infused into rats for prolonged periods and relate this effect to the recently described ouabain-induced activation of the Src-EGFr-ERK signaling pathway. Ouabain infusion into rats (15 microg/kg/day for 18 weeks) doubled plasma ouabain levels from 0.3 to 0.7 nm and increased blood pressure by 20 mm Hg (p < 0.001), cardiac left ventricle (+11%, p < 0.05), and kidney weight (+9%, p < 0.01). These effects in vivo are associated with a significant enrichment of alpha1, beta1, gammaa Na-K ATPase subunits together with Src and EGFr in isolated renal caveolae membranes and activation of ERK1/2. In caveolae, direct Na-K ATPase/Src interactions can be demonstrated by co-immunoprecipitation. The interaction is amplified by ouabain, at a high affinity binding site, detectable in caveolae but not in total rat renal membranes. The high affinity site for ouabain is associated with Src-dependent tyrosine phosphorylation of rat alpha1 Na-K ATPase. The antihypertensive compound, PST 2238, antagonized all ouabain-induced effects at 10 microg/kg/day in vivo or 10(-10)-10(-8) m in vitro. These findings provide a molecular mechanism for the in vivo pro-hypertrophic and hypertensinogenic activity of ouabain, or by analogy those of EO in humans. They also explain the pharmacological basis for PST 2238 treatment

Glycosidase-catalyzed synthesis of glycosylated nutraceutical ingredients

Hydroxyphenyl propenoic acids (hydroxycinnamic acids) and their alcohol derivatives are common components of the human diet which often occur in plants in the form of various glycosides. As the diets rich in polyphenols have repeatedly been related to low incidence of cardiovascular, neurodegenerative, and oncological diseases, various food supplements containing these compounds are becoming increasingly popular among the general population. In quest of a biocatalytic route to structurally complex phenolic glycosides, we built a sustainable and convenient, one-pot two-enzyme method for the glucosylation of arylalkyl alcohols based on the synthetic exploitation of a fungal rutinosidase from A. niger and rhamnosidase from A. terreus. Both these enzymes were available to us as heterologous proteins produced by a recombinant strain of P. pastoris. As an example, the -glucoside salidroside, a compound endowed with various pharmacological effects and commercialized in Rhodiola rosea nutraceutical formulations, was obtained in high isolated yield and purity from tyrosol thanks to our one-pot enzymatic process. Furthermore, during the course of our investigation, we found that the rutinosidase from A. niger not only efficiently converted hydroxylated aromatic acids (e.g. coumaric and ferulic acids) into the respective phenolic rutinosides, but surprisingly could also catalyze the formation of the respective glycosyl esters. Here the results of our systematic study about the glycosidase-based biocatalytic preparation of lycosylated nutraceutical ingredients, which lead us to the discovery of a unique enzymatic entry to naturally occurring glycosyl esters, are reported

New Thermophilic α/β Class Epoxide Hydrolases Found in Metagenomes From Hot Environments

This is the final version. Available from Frontiers Media via the DOI in this record.Two novel epoxide hydrolases (EHs), Sibe-EH and CH65-EH, were identified in the metagenomes of samples collected in hot springs in Russia and China, respectively. The two α/β hydrolase superfamily fold enzymes were cloned, over-expressed in Escherichia coli, purified and characterized. The new EHs were active toward a broad range of substrates, and in particular, Sibe-EH was excellent in the desymmetrization of cis-2,3-epoxybutane producing the (2R,3R)-diol product with ee exceeding 99%. Interestingly these enzymes also hydrolyse (4R)-limonene-1,2-epoxide with Sibe-EH being specific for the trans isomer. The Sibe-EH is a monomer in solution whereas the CH65-EH is a dimer. Both enzymes showed high melting temperatures with the CH65-EH being the highest at 85°C retaining 80% of its initial activity after 3 h thermal treatment at 70°C making it the most thermal tolerant wild type epoxide hydrolase described. The Sibe-EH and CH65-EH have been crystallized and their structures determined to high resolution, 1.6 and 1.4 Å, respectively. The CH65-EH enzyme forms a dimer via its cap domains with different relative orientation of the monomers compared to previously described EHs. The entrance to the active site cavity is located in a different position in CH65-EH and Sibe-EH in relation to other known bacterial and mammalian EHs

Novel Transaminase and Laccase from Streptomyces spp. Using Combined Identification Approaches

Three Streptomyces sp. strains with a multitude of target enzymatic activities confirmed by functional screening, namely BV129, BV286 and BV333, were subjected to genome sequencing aiming at the annotation of genes of interest, in-depth bioinformatics characterization and functional expression of the biocatalysts. A whole-genome shotgun sequencing followed by de novo genome assembly and annotation was performed revealing genomes of 6.4, 9.4 and 7.3 Mbp, respectively. Functional annotation of the proteins of interest resulted in between 2047 and 2763 putative targets. Among the various enzymatic activities that the three Streptomyces strains demonstrated to produce by functional screening, we focused our attention on transaminases (TAs) and laccases due to their high biocatalytic potential. Bioinformatics search allowed the identification of a putative TA from Streptomyces sp. BV333 as a potentially novel broad substrate scope TA and a putative laccase from Streptomyces sp. BV286 as potentially novel blue multicopper oxidase. The two sequences were cloned and overexpressed in Escherichia coli and the two novel enzymes, transaminase Sbv333-TA and laccase Sbv286-LAC, were characterized. Interestingly, both enzymes resulted to be exceptionally thermostable, Sbv333-TA showing a melting temperature (T-M = 85 degrees C) only slightly lower compared to the T-M of the most thermostable transaminases described to date (87-88 degrees C) and Sbv286-LAC being even thermoactivated at temperature gt 60 degrees C. Moreover, Sbv333-TA showed a broad substrate scope and remarkably demonstrated to be active in the transamination of beta-ketoesters, which are rarely accepted by currently known TAs. On the other hand, Sbv286-LAC showed an improved activity in the presence of the cosolvent acetonitrile. Overall, it was shown that a combination of approaches from standard microbiological and biochemical screens to genome sequencing and analysis is required to afford novel and functional biocatalysts

Target-Oriented Development Of Novel Antiprotozoal Agents: Celastrol Carboxamides As Inhibitors Of Leishmania Hsp90

The Leishmania isoform of the 90kDa Heat Shock Protein (LsHsp90), a chaperone known to assist the folding of more than 200 client proteins, was reported to be generally involved in parasite differentiation from promastigote to amastigote possessing a pivotal role during heat-induced cellular stress. Moreover, it was demonstrated that an impair of the native functions of LsHsp90 through the action of active-site inhibitors can exert a detrimental effect on the natural parasite life-cycle ultimately leading to its death. Celastrol is natural triterpene exhibiting a plethora of in vitro and in vivo activities. Among them, this pentacyclic compound is reported to possess a promising antiproliferative activity thanks to its ability of interacting with the chaperone cycle of the human isoform of Hsp90 (hHsp90). Moreover, celastrol derivatives (e.g. the methyl ester pristimerin, Figure 1) have also exhibited an interesting antiprotozoal activity. With the aim of building a target-oriented approach to treat Leishmania infections based on the inhibition of LsHsp90, we prepared two basic carboxamides celastrol derivatives (SS-1 and SS-2) to enhance its leishmanicidal activity and selectivity of action by deducting its unspecific cytotoxicity (measured as IC50 on HMEC-1 cell lines). Accordingly, celastrol and the two basic derivatives SS-1 and SS-2 were in vitro tested for their leishmanicidal activity against promastigotes of Leishmania tropica and L. infantum and, in parallel, their mechanism of action was investigated as well via ad hoc in vitro experiments using a recombinant Hsp90 from L. braziliensis (LbHsp90). In virtue of their pH sensitive basic heads, both SS-1 and SS-2 were found to be more potent (IC50 in the nanomolar range) and selective leishmanicidal agents than celastrol itself. Furthermore, we were able to demonstrate that SS-1 and SS-2 successfully (in vitro) inhibited the native kinase activity of LbHsp90 highlighting the key role of the inhibition of this chaperone in their mechanism of action

In Car Audio

This chapter presents implementations of advanced in Car Audio Applications. The system is composed by three main different applications regarding the In Car listening and communication experience. Starting from a high level description of the algorithms, several implementations on different levels of hardware abstraction are presented, along with empirical results on both the design process undergone and the performance results achieved

The hArtes Tool Chain

This chapter describes the different design steps needed to go from legacy code to a transformed application that can be efficiently mapped on the hArtes platform