Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field

We announce a proof of H-stability for the quantized radiation field, with ultraviolet cutoff, coupled to arbitrarily many non-relativistic quantized electrons and static nuclei. Our result holds for arbitrary atomic numbers and fine structure constant. We also announce bounds for the energy of many electrons and nuclei in a classical vector potential and for the eigenvalue sum of a one-electron Pauli Hamiltonian with magnetic field.

Transition-state structure as a unifying basis in protein-folding mechanisms: Contact order, chain topology, stability, and the extended nucleus mechanism

I attempt to reconcile apparently conflicting factors and mechanisms that have been proposed to determine the rate constant for two-state folding of small proteins, on the basis of general features of the structures of transition states. Φ-Value analysis implies a transition state for folding that resembles an expanded and distorted native structure, which is built around an extended nucleus. The nucleus is composed predominantly of elements of partly or well-formed native secondary structure that are stabilized by local and long-range tertiary interactions. These long-range interactions give rise to connecting loops, frequently containing the native loops that are poorly structured. I derive an equation that relates differences in the contact order of a protein to changes in the length of linking loops, which, in turn, is directly related to the unfavorable free energy of the loops in the transition state. Kinetic data on loop extension mutants of CI2 and α-spectrin SH3 domain fit the equation qualitatively. The rate of folding depends primarily on the interactions that directly stabilize the nucleus, especially those in native-like secondary structure and those resulting from the entropy loss from the connecting loops, which vary with contact order. This partitioning of energy accounts for the success of some algorithms that predict folding rates, because they use these principles either explicitly or implicitly. The extended nucleus model thus unifies the observations of rate depending on both stability and topology.

The origins of stability of spontaneous vesicles

Equilibrium unilamellar vesicles are stabilized by one of two distinct mechanisms depending on the value of the bending constant. Helfrich undulations ensure that the interbilayer potential is always repulsive when the bending constant, K, is of order kBT. When K ≫ kBT, unilamellar vesicles are stabilized by the spontaneous curvature that picks out a particular vesicle radius; other radii are disfavored energetically. We present measurements of the bilayer elastic constant and the spontaneous curvature, Ro, for three different systems of equilibrium vesicles by an analysis of the vesicle size distribution determined by cryo-transmission electron microscopy and small-angle neutron scattering. For cetyltrimethylammonium bromide (CTAB)/sodium octyl sulfonate catanionic vesicles, K = .7 kBT, suggesting that the unilamellar vesicles are stabilized by Helfrich-undulation repulsions. However, for CTAB and sodium perfluorooctanoate (FC7) vesicles, K = 6 kBT, suggesting stabilization by the energetic costs of deviations from the spontaneous curvature. Adding electrolyte to the sodium perfluorooctanoate/CTAB vesicles leads to vesicles with two bilayers; the attractive interactions between the bilayers can overcome the cost of small deviations from the spontaneous curvature to form two-layer vesicles, but larger deviations to form three and more layer vesicles are prohibited. Vesicles with a discrete numbers of bilayers at equilibrium are possible only for bilayers with a large bending modulus coupled with a spontaneous curvature.

Stability of Coulomb systems in a magnetic field.

I study N electrons and M protons in a magnetic field. It is shown that the total energy per particle is bounded below by a constant independent of M and N, provided the fine structure constant is small. Here, the total energy includes the energy of the magnetic field.

Quantitative stability of linear infinite inequality systems under block perturbations with applications to convex systems

The original motivation for this paper was to provide an efficient quantitative analysis of convex infinite (or semi-infinite) inequality systems whose decision variables run over general infinite-dimensional (resp. finite-dimensional) Banach spaces and that are indexed by an arbitrary fixed set J. Parameter perturbations on the right-hand side of the inequalities are required to be merely bounded, and thus the natural parameter space is l ∞(J). Our basic strategy consists of linearizing the parameterized convex system via splitting convex inequalities into linear ones by using the Fenchel–Legendre conjugate. This approach yields that arbitrary bounded right-hand side perturbations of the convex system turn on constant-by-blocks perturbations in the linearized system. Based on advanced variational analysis, we derive a precise formula for computing the exact Lipschitzian bound of the feasible solution map of block-perturbed linear systems, which involves only the system’s data, and then show that this exact bound agrees with the coderivative norm of the aforementioned mapping. In this way we extend to the convex setting the results of Cánovas et al. (SIAM J. Optim. 20, 1504–1526, 2009) developed for arbitrary perturbations with no block structure in the linear framework under the boundedness assumption on the system’s coefficients. The latter boundedness assumption is removed in this paper when the decision space is reflexive. The last section provides the aimed application to the convex case.

Les effets de l’éclairage cyclique versus l’éclairage tamisé constant sur la stabilité physiologique et le niveau d’activité motrice de prématurés

Problématique : Les prématurés évoluent dans l’unité néonatale qui présente une intensité lumineuse parfois forte et variable, ce qui a pour effet de provoquer une instabilité physiologique, ainsi qu’une augmentation du niveau d’activité motrice chez ces derniers. Par ailleurs, le contrôle de l’éclairage à l’unité néonatale favorise la stabilité physiologique et réduit le niveau d’activité motrice des prématurés. Deux méthodes de contrôle de l’éclairage ont été étudiées, soit l’éclairage tamisé constant et l’éclairage cyclique. Or, la méthode de contrôle de l’éclairage la plus appropriée au système nerveux immature des prématurés est inconnue et il y a ambivalence en ce qui concerne les résultats des études ayant évalué ces deux modes de contrôle de l’éclairage. But : Le but de cette étude était de mesurer les effets de l’éclairage cyclique versus l’éclairage tamisé constant sur la stabilité physiologique et le niveau d’activité motrice de prématurés nés entre 28 et 32 semaines d’âge gestationnel. Méthode : Un essai clinique randomisé a été réalisé. Les 38 prématurés recrutés dans une unité néonatale de niveaux II et III d’un hôpital universitaire, ont été randomisés dans l’un des deux groupes d’intervention, soit le groupe exposé à l’éclairage tamisé constant ou celui exposé à l’éclairage cyclique. Ces deux types d’éclairage ont été appliqués pendant 24 heures. La stabilité physiologique a été mesurée par le score Stability of the Cardio Respiratory System in Premature Infants (SCRIP) et le niveau d’activité motrice a été mesuré avec un accéléromètre (Actiwatch®). L’intensité lumineuse à laquelle les prématurés ont été exposés a été mesurée de façon continue à l’intérieur de l’incubateur à l’aide d’un photomètre. Résultats : L’analyse des données révèle qu’il n’y aucune différence significative entre les deux groupes d’intervention en ce qui a trait à la stabilité physiologique (valeur-p du score SCRIP de 0,54 à 0,96) et au niveau d’activité motrice (valeur-p de 0,09 à 0,88). Les participants des deux groupes ont manifesté une stabilité physiologique et un niveau d’activité motrice comparables. Conclusion : Des interventions de contrôle de l’éclairage doivent être adoptées à l’unité néonatale, que ce soit des interventions qui permettent la mise en œuvre de l’éclairage cyclique ou de l’éclairage tamisé constant, dans le but de favoriser l’adaptation du prématuré à l’environnement de l’unité néonatale. Des recherches additionnelles sont requises afin d’identifier la méthode de contrôle de l’éclairage (éclairage cyclique ou éclairage tamisé constant) qui doit être implantée à l’unité néonatale.

Les effets de l’éclairage cyclique versus l’éclairage tamisé constant sur la stabilité physiologique et le niveau d’activité motrice de prématurés

Problématique : Les prématurés évoluent dans l’unité néonatale qui présente une intensité lumineuse parfois forte et variable, ce qui a pour effet de provoquer une instabilité physiologique, ainsi qu’une augmentation du niveau d’activité motrice chez ces derniers. Par ailleurs, le contrôle de l’éclairage à l’unité néonatale favorise la stabilité physiologique et réduit le niveau d’activité motrice des prématurés. Deux méthodes de contrôle de l’éclairage ont été étudiées, soit l’éclairage tamisé constant et l’éclairage cyclique. Or, la méthode de contrôle de l’éclairage la plus appropriée au système nerveux immature des prématurés est inconnue et il y a ambivalence en ce qui concerne les résultats des études ayant évalué ces deux modes de contrôle de l’éclairage. But : Le but de cette étude était de mesurer les effets de l’éclairage cyclique versus l’éclairage tamisé constant sur la stabilité physiologique et le niveau d’activité motrice de prématurés nés entre 28 et 32 semaines d’âge gestationnel. Méthode : Un essai clinique randomisé a été réalisé. Les 38 prématurés recrutés dans une unité néonatale de niveaux II et III d’un hôpital universitaire, ont été randomisés dans l’un des deux groupes d’intervention, soit le groupe exposé à l’éclairage tamisé constant ou celui exposé à l’éclairage cyclique. Ces deux types d’éclairage ont été appliqués pendant 24 heures. La stabilité physiologique a été mesurée par le score Stability of the Cardio Respiratory System in Premature Infants (SCRIP) et le niveau d’activité motrice a été mesuré avec un accéléromètre (Actiwatch®). L’intensité lumineuse à laquelle les prématurés ont été exposés a été mesurée de façon continue à l’intérieur de l’incubateur à l’aide d’un photomètre. Résultats : L’analyse des données révèle qu’il n’y aucune différence significative entre les deux groupes d’intervention en ce qui a trait à la stabilité physiologique (valeur-p du score SCRIP de 0,54 à 0,96) et au niveau d’activité motrice (valeur-p de 0,09 à 0,88). Les participants des deux groupes ont manifesté une stabilité physiologique et un niveau d’activité motrice comparables. Conclusion : Des interventions de contrôle de l’éclairage doivent être adoptées à l’unité néonatale, que ce soit des interventions qui permettent la mise en œuvre de l’éclairage cyclique ou de l’éclairage tamisé constant, dans le but de favoriser l’adaptation du prématuré à l’environnement de l’unité néonatale. Des recherches additionnelles sont requises afin d’identifier la méthode de contrôle de l’éclairage (éclairage cyclique ou éclairage tamisé constant) qui doit être implantée à l’unité néonatale.

Stability of benzylpenicillin during continuous home intravenous therapy

Objectives: The aim of this study was to investigate the temperature profile of home intravenous (iv) antibiotic reservoirs and the stability of 16 megaunits of benzylpenicillin sodium in 120 mL of sodium chloride 0.9% at constant and variable temperatures. Methods: A Tinytag computerized thermometer recorded temperatures every minute in the home iv antibiotic reservoir pouches of nine patients over a 24 h period. Similar bags containing benzylpenicillin sodium (16 megaunits) were maintained either at a constant 36degreesC, 26degreesC or 21-22degreesC or were worn in a pouch by five healthy volunteers for a 24 h period. Other bags were stored at 3-5degreesC for 10 days. The bags were sampled at timed intervals and benzylpenicillin concentrations assayed by HPLC. Results: Median temperatures recorded in the infusion bags worn by the nine patients were in the range 16.7-34.1degreesC. For infusion bags maintained at 36degreesC, 26degreesC and 21-22degreesC, the concentrations of benzylpenicillin dropped below 90% of the initial concentration at a mean time of 5 h 18 min, 12 h 54 min and 13 h 20 min, respectively, whereas for bags worn by the healthy volunteers the mean time for 10% loss of benzylpenicillin was 9 h 20 min. In contrast, at 3-5degreesC, concentrations of benzylpenicillin only dropped below 90% of the initial concentration at 8 days. Conclusions: Significant temperature-dependent degradation of benzylpenicillin occurs during continuous home iv antibiotic programme infusions, which could result in loss of efficacy.

Removal of the N-linked glycan structure from the peanut peroxidase prxPNC2: Influence on protein stability and activity

Lines of transgenic tobacco have been generated that are transformed with either the wild-type peanut peroxidase prxPNC2 cDNA, driven by the CaMV3 5S promoter (designated 35S::prxPNC2-WT) or a mutated PNC2 cDNA in which the asparagine residue (Asn(189)) associated with the point of glycan attachment (Asn(189)) has been replaced with alanine (designated 35S::prxPNC2-M). PCR, using genomic DNA as template, has confirmed the integration of the 35S::prxPNC2-WT and 35::prxPNC2-M constructs into the tobacco genome, and western analysis using anti-PNC2 antibodies has revealed that the prxPNC2-WT protein product (PNC2-WT) accumulates with a molecular mass of 34,670 Da, while the prxPNC2-M protein product (PNC2-M) accumulates with a molecular mass of 32,600 Da. Activity assays have shown that both PNC2-WT and PNC2-M proteins accumulate preferentially in the ionically-bound cell wall fraction, with a significantly higher relative accumulation of the PNC2-WT isoenzyme in the ionically-bound fraction when compared with the PNC2-M isoform. Kinetic analysis of the partially purified PNC2-WT isozyme revealed an affinity constant (apparent K-m) of 11.2 mM for the reductor substrate guaiacol and 1.29 mM for H2O2, while values of 11.9 mM and 1.12 mM were determined for the PNC2-M isozyme. A higher Arrenhius activation energy (E,,) was determined for the PNC2-M isozyme (22.9 kJ mol(-1)), when compared with the PNC2-WT isozyme (17.6 kJ mol(-1)), and enzyme assays have determined that the absence of the glycan influences the thermostability of the PNC2-M isozyme. These results are discussed with respect to the proposed roles of N-linked glycans attached to plant peroxidases. (c) 2005 Elsevier Ltd. All rights reserved.

Estimating conditional volatility with neural networks

It is well known that one of the obstacles to effective forecasting of exchange rates is heteroscedasticity (non-stationary conditional variance). The autoregressive conditional heteroscedastic (ARCH) model and its variants have been used to estimate a time dependent variance for many financial time series. However, such models are essentially linear in form and we can ask whether a non-linear model for variance can improve results just as non-linear models (such as neural networks) for the mean have done. In this paper we consider two neural network models for variance estimation. Mixture Density Networks (Bishop 1994, Nix and Weigend 1994) combine a Multi-Layer Perceptron (MLP) and a mixture model to estimate the conditional data density. They are trained using a maximum likelihood approach. However, it is known that maximum likelihood estimates are biased and lead to a systematic under-estimate of variance. More recently, a Bayesian approach to parameter estimation has been developed (Bishop and Qazaz 1996) that shows promise in removing the maximum likelihood bias. However, up to now, this model has not been used for time series prediction. Here we compare these algorithms with two other models to provide benchmark results: a linear model (from the ARIMA family), and a conventional neural network trained with a sum-of-squares error function (which estimates the conditional mean of the time series with a constant variance noise model). This comparison is carried out on daily exchange rate data for five currencies.

The stability and formulation of topical analgesics

High-performance liquid chromatographic methods are developed for the simultaneous determination of various salicylates, their p-hydroxy isomers and nicotinic acid esters. The method is sensitive enough to detect trace amounts (~µM/L)of the product generated from cross reactivity between the drugs and the vehicle. The developed method also allows analysis of various topical products containing salicylate and nicotinate esters in their formulations. Applying this method, the degradation profiles of salicylates, nicotinates, p-hydroxy benzoate, o-methoxy benzoate and aspirin prodrugs in alkaline media are determined. The profile for alkyl salicylate degradation is found to be first order (A---? B) When the alcoholic radical is similar to that of the ester. In alcohol having a radical different from that of the ester function, the degradation is found to proceed through competitive transesterification and hydrolysis. The intermediates are identified following synthesis and isolation. The rate and extent of transesterification depends on the proportion of alcohol present in the system. Equations are presented to model the time profiles of reactant and product concentration. The reactions are base catalysed and the predominant pathway involves a concerted solvent attack upon the salicylate anion. Competitive hydrolysis of both ester components also follows this mechanism at moderate pH values but rates increase under strongly alkaline conditions as direct hydroxide attack becomes significant. In contrast, transesterification is independent of base concentration once full ionization is accomplished. The competitive hydrolysis is modelled using equations involving the dielectric constant of the medium. A range of other esters are also shown to undergo base-catalysed transesterification. In non-alcoholic solution phenyl salicylate undergoes a concentration-dependent oligomerisation which yields salsalate among the products. Competitive transesterification and hydrolysis also occur in products for topical use which have vehicles based upon alcohol, glycol or glycol polymers. Such reactions may compromise stability assessments, pharmaceutical integrity and delivery profiles.

Bifurcation study for a vertical channel with constant flux and large aspect ratio

Using suitable coupled Navier-Stokes Equations for an incompressible Newtonian fluid we investigate the linear and non-linear steady state solutions for both a homogeneously and a laterally heated fluid with finite Prandtl Number (Pr=7) in the vertical orientation of the channel. Both models are studied within the Large Aspect Ratio narrow-gap and under constant flux conditions with the channel closed. We use direct numerics to identify the linear stability criterion in parametric terms as a function of Grashof Number (Gr) and streamwise infinitesimal perturbation wavenumber (making use of the generalised Squire’s Theorem). We find higher harmonic solutions at lower wavenumbers with a resonance of 1:3exist, for both of the heating models considered. We proceed to identify 2D secondary steady state solutions, which bifurcate from the laminar state. Our studies show that 2D solutions are found not to exist in certain regions of the pure manifold, where we find that 1:3 resonant mode 2D solutions exist, for low wavenumber perturbations. For the homogeneously heated fluid, we notice a jump phenomenon existing between the pure and resonant mode secondary solutions for very specific wavenumbers .We attempt to verify whether mixed mode solutions are present for this model by considering the laterally heated model with the same geometry. We find mixed mode solutions for the laterally heated model showing that a bridge exists between the pure and 1:3 resonant mode 2D solutions, of which some are stationary and some travelling. Further, we show that for the homogeneously heated fluid that the 2D solutions bifurcate in hopf bifurcations and there exists a manifold where the 2D solutions are stable to Eckhaus criterion, within this manifold we proceed to identify 3D tertiary solutions and find that the stability for said 3D bifurcations is not phase locked to the 2D state. For the homogeneously heated model we identify a closed loop within the neutral stability curve for higher perturbation wavenumubers and analyse the nature of the multiple 2D bifurcations around this loop for identical wavenumber and find that a temperature inversion occurs within this loop. We conclude that for a homogeneously heated fluid it is possible to have abrup ttransitions between the pure and resonant 2D solutions, and that for the laterally heated model there exist a transient bifurcation via mixed mode solutions.

Comparison Of Postoperative Stability Of Three Rigid Internal Fixation Techniques After Sagittal Split Ramus Osteotomy For Mandibular Advancement.

The aim of this investigation was to compare the skeletal stability of three different rigid fixation methods after mandibular advancement. Fifty-five class II malocclusion patients treated with the use of bilateral sagittal split ramus osteotomy and mandibular advancement were selected for this retrospective study. Group 1 (n = 17) had miniplates with monocortical screws, Group 2 (n = 16) had bicortical screws and Group 3 (n = 22) had the osteotomy fixed by means of the hybrid technique. Cephalograms were taken preoperatively, 1 week within the postoperative care period, and 6 months after the orthognathic surgery. Linear and angular changes of the cephalometric landmarks of the chin region were measured at each period, and the changes at each cephalometric landmark were determined for the time gaps. Postoperative changes in the mandibular shape were analyzed to determine the stability of fixation methods. There was minimum difference in the relapse of the mandibular advancement among the three groups. Statistical analysis showed no significant difference in postoperative stability. However, a positive correlation between the amount of advancement and the amount of postoperative relapse was demonstrated by the linear multiple regression test (p < 0.05). It can be concluded that all techniques can be used to obtain stable postoperative results in mandibular advancement after 6 months.

Effects Of High Pressure Homogenization On The Activity, Stability, Kinetics And Three-dimensional Conformation Of A Glucose Oxidase Produced By Aspergillus Niger.

High pressure homogenization (HPH) is a non-thermal method, which has been employed to change the activity and stability of biotechnologically relevant enzymes. This work investigated how HPH affects the structural and functional characteristics of a glucose oxidase (GO) from Aspergillus niger. The enzyme was homogenized at 75 and 150 MPa and the effects were evaluated with respect to the enzyme activity, stability, kinetic parameters and molecular structure. The enzyme showed a pH-dependent response to the HPH treatment, with reduction or maintenance of activity at pH 4.5-6.0 and a remarkable activity increase (30-300%) at pH 6.5 in all tested temperatures (15, 50 and 75°C). The enzyme thermal tolerance was reduced due to HPH treatment and the storage for 24 h at high temperatures (50 and 75°C) also caused a reduction of activity. Interestingly, at lower temperatures (15°C) the activity levels were slightly higher than that observed for native enzyme or at least maintained. These effects of HPH treatment on function and stability of GO were further investigated by spectroscopic methods. Both fluorescence and circular dichroism revealed conformational changes in the molecular structure of the enzyme that might be associated with the distinct functional and stability behavior of GO.

Chitosan Nanoparticles Loaded The Herbicide Paraquat: The Influence Of The Aquatic Humic Substances On The Colloidal Stability And Toxicity.

Polymeric nanoparticles have been developed for several applications, among them as carrier system of pesticides. However, few studies have investigated the fate of these materials in the environment in relation to colloidal stability and toxicity. In nature, humic substances are the main agents responsible for complexation with metals and organic compounds, as well as responsible for the dynamics of these nanoparticles in aquatic and terrestrial environments. In this context, the evaluation of the influence of aquatic humic substances (AHS) on the colloidal stability and toxicity of polymeric nanoparticles of chitosan/tripolyphosphate with or without paraquat was performed. In this study, the nanoparticles were prepared by the ionic gelation method and characterized by size distribution measurements (DLS and NTA), zeta potential, infrared and fluorescence spectroscopy. Allium cepa genotoxicity studies and ecotoxicity assays with the alga Pseudokirchneriella subcapitata were used to investigate the effect of aquatic humic substances (AHS) on the toxicity of this delivery system. No changes were observed in the physical-chemical stability of the nanoparticles due to the presence of AHS using DLS and NTA techniques. However some evidence of interaction between the nanoparticles and AHS was observed by infrared and fluorescence spectroscopies. The ecotoxicity and genotoxicity assays showed that humic substances can decrease the toxic effects of nanoparticles containing paraquat. These results are interesting because they are important for understanding the interaction of these nanostructured carrier systems with species present in aquatic ecosystems such as humic substances, and in this way, opening new perspectives for studies on the dynamics of these carrier systems in the ecosystem.