Analysis of a finite volume element method for the Stokes problem

In this paper we propose a stabilized conforming finite volume element method for the Stokes equations. On stating the convergence of the method, optimal a priori error estimates in different norms are obtained by establishing the adequate connection between the finite volume and stabilized finite element formulations. A superconvergence result is also derived by using a postprocessing projection method. In particular, the stabilization of the continuous lowest equal order pair finite volume element discretization is achieved by enriching the velocity space with local functions that do not necessarily vanish on the element boundaries. Finally, some numerical experiments that confirm the predicted behavior of the method are provided.

Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.

The evolution of a quantitative phenotype is often envisioned as a trait substitution sequence where mutant alleles repeatedly replace resident ones. In infinite populations, the invasion fitness of a mutant in this two-allele representation of the evolutionary process is used to characterize features about long-term phenotypic evolution, such as singular points, convergence stability (established from first-order effects of selection), branching points, and evolutionary stability (established from second-order effects of selection). Here, we try to characterize long-term phenotypic evolution in finite populations from this two-allele representation of the evolutionary process. We construct a stochastic model describing evolutionary dynamics at non-rare mutant allele frequency. We then derive stability conditions based on stationary average mutant frequencies in the presence of vanishing mutation rates. We find that the second-order stability condition obtained from second-order effects of selection is identical to convergence stability. Thus, in two-allele systems in finite populations, convergence stability is enough to characterize long-term evolution under the trait substitution sequence assumption. We perform individual-based simulations to confirm our analytic results.

Learning charisma: Transform yourself into someone people want to follow

Jana stands at the podium, palms sweaty, looking out at hundreds of colleagues who are waiting to hear about her new initiative. Bill walks into a meeting after a failed product launch to greet an exhausted and demotivated team that desperately needs his direction. Robin gets ready to confront a brilliant but underperforming subordinate who needs to be put back on track. We've all been in situations like these. What they require is charisma-the ability to communicate a clear, visionary, and inspirational message that captivates and motivates an audience. In this article, we discuss how one learns to be more charismatic

The tumour suppressor LATS2 interacts with both Signalosome and E3 ubiquitin ligases : implications in control of cell cycle progression

SUMMARY LATS2 is a member of the Lats tumour suppressor gene family. The human LATS2 gene is located at chromosome 13q11-12, which has been shown to be a hot spot (67%) for LOH in nonsmall cell lung cancer. Both lats mosaic flies and LATS1 deficient mice spontaneously develop tumours, an observation that is explained by the function of LATS1 in suppressing tumourigenesis by negatively regulating cell proliferation by modulating Cdc2/Cyclin A activity. LATS1 also plays a critical role in maintenance of ploidy through its action on the spindle assembly checkpoint. Initial insights into the function of LATS2 reveals that the protein is involved in the G2/M transition of the cell cycle, whereby it controls the phosphorylation status of Cdc25C. The aim of the present study was to identify LATS2 interacting partners that would provide a more thorough understanding of the molecular pathways in which the protein is involved. The yeast two-hybrid system identified a number of candidate genes that interact with LATS2. Most of the interactions were confirmed biochemically by GST-pull down assays that enabled us to demonstrate that LATS2 is an integral component of the Signalosome complex. The Signalosome is thought to be required for the establishment of functional Cullin-based E3 ubiquitin ligases, the substrate-recognition elements of the ubiquitin-mediated protein proteolytic pathway. The findings that LATS2 also interacts with all of the components of the E3 enzymes allows us to postulate that LATS2 is probably involved in the regulation of this Signalosome-E3 super-complex. In addition, the discovery that LATS2 associates with multiple protein kinases localised at the cellular membrane and in various signalling cascades supports the idea that LATS2 functions as an integrator of signals which allows it to monitor the activity of these pathways and translate these signals through its action on the Signalosome. Furthermore, the observation that a kinase-dead LATS2 mutant arrests at the G2/M phase of the cell cycle, demonstrates that the protein, through the action of its kinase domain, is crucial for progression through the cell cycle, an action in accordance to its proposed role as a regulator of E3 ubiquitin ligases. The findings presented herein provide evidence that LATS2 associates with the Signalosome-E3 ubiquitin ligases super-complex which governs protein stability. Any alteration of the protein would have a strong impact on pathways that modulate cell proliferation, as shown by its implication in tumourigenesis. RESUME LATS2 est un membre de la famille de gènes suppresseurs de tumeurs LATS. Le gène humain LATS2 est situé sur le chromosome 13q11-12, une région qui s'est avérée être un point sensible (67%) dans la perte d'hétérozigosité (LOH) notamment pour le cancer du poumon. Le fait que des tumeurs se développent spontanément chez les souris qui sont déficientes pour le gène LATS1 ainsi que dans des cellules mutantes pour LATS chez la Drosophile, est expliqué Par la fonction de LATS1, qui est de supprimer l'apparition de tumeurs en réprimant la prolifération cellulaire à travers sa capacité à réguler l'activité de Cdc2/Cyciine A. LATS1 joue également un rôle important au niveau du maintient de la ploïdie de la cellule, au travers de son action sur les points de contrôle de l'assemblage du fuseau mitotique. Les premières études du gène LATS2 indiquent que la protéine est, par son contrôle des réactions de phosphorylation de la Cdc25C, impliquée dans la transition 021M. Le but de cette étude était d'identifier les protéines qui interagissent avec LATS2, en vue d'obtenir une compréhension plus approfondie des mécanismes moléculaires dans lesquels LATS2 se trouve engagée. Le système de double-hybride chez la levure a permis l'identification d'un grand nombre de gènes qui interagissent avec LATS2. La plupart des interactions ont été confirmées par GST «pull clown», une technique in vitro qui a permis de démontrer que LATS2 est un composant intégral du Signalosome. Ce complexe est supposé réguler l'activité des E3 ubiquitine-rigases, les éléments responsables du recrutement des substrats qui doivent être recyclés par la voie de dégradation ubiquitine-dépendante. Les résultats obtenus indiquent également que LATS2 interagit avec tous les composants des enzymes E3, ce qui nous permet de soumettre l'idée selon laquelle la protéine LATS2 est en fait impliquée dans la régulation du complexe Signalosorne-E3. De plus, la découverte que LATS2 se trouve associée à plusieurs protéines kinases localisées au niveau de la membrane cellulaire, ainsi que dans diverses voies de transduction, confirment l'idée que LATS2 fonctionne en tant que molécule qui intègre les signaux en provenance de ces différentes voies cellulaires. De ce fait, il lui serait possible de coordonner la destruction des protéines au moyen du complexe Signalosome, permettant ainsi de réprimer l'activité des voies de signalisation. En outre, l'introduction d'une mutation dans le domaine kinase de LATS2 résulte en l'arrêt du cycle cellulaire en G2/M, ce qui montre que la protéine, au travers de son domaine kinase, est cruciale pour le bon fonctionnement du cycle cellulaire, ceci en accord avec son rôle proposé comme régulateur des E3 ubiquitine-ligases. Les résultats présentés dans ce manuscrit démontrent que la protéine LATS2 se trouve associée au complexe Signalosome-E3 qui régule la dégradation des protéines. La moindre modification de la protéine engendrerait des répercussions importantes au niveau des voies de transduction qui contrôlent fa prolifération ceilulaire, ce qui atteste du rôle déterminant que joue LAT32 dans la tumorigénèse.

Treatment of large bone defects with the Ilizarov technique.

Between 1985 and 1990 we treated 11 large segmental bone defects (average 6.7 cm) in ten patients with the Ilizarov technique. Open fractures, type III according to Gustilo, represented the largest group (8 of 11 cases). The average delay before the Ilizarov technique was initiated was 8.9 months. The external fixator was usually maintained for 1 year. Bone regeneration was obtained in every case. Consolidation was not fulfilled with this technique in three cases. The complications observed were one refracture, four leg-length discrepancies (average 1.5 cm), and five axial deformities exceeding 5 degrees. No pin-track infection was observed. In our limited series of four type IIIC open fractures treated by the Ilizarov technique, no patients required amputation. The Ilizarov technique is particularly useful in the treatment of large bone defects, without major complications, especially if there is an adequate initial debridement.

Hybrid Multiscale Finite Volume method for two-phase flow in porous media

We present a novel hybrid (or multiphysics) algorithm, which couples pore-scale and Darcy descriptions of two-phase flow in porous media. The flow at the pore-scale is described by the Navier?Stokes equations, and the Volume of Fluid (VOF) method is used to model the evolution of the fluid?fluid interface. An extension of the Multiscale Finite Volume (MsFV) method is employed to construct the Darcy-scale problem. First, a set of local interpolators for pressure and velocity is constructed by solving the Navier?Stokes equations; then, a coarse mass-conservation problem is constructed by averaging the pore-scale velocity over the cells of a coarse grid, which act as control volumes; finally, a conservative pore-scale velocity field is reconstructed and used to advect the fluid?fluid interface. The method relies on the localization assumptions used to compute the interpolators (which are quite straightforward extensions of the standard MsFV) and on the postulate that the coarse-scale fluxes are proportional to the coarse-pressure differences. By numerical simulations of two-phase problems, we demonstrate that these assumptions provide hybrid solutions that are in good agreement with reference pore-scale solutions and are able to model the transition from stable to unstable flow regimes. Our hybrid method can naturally take advantage of several adaptive strategies and allows considering pore-scale fluxes only in some regions, while Darcy fluxes are used in the rest of the domain. Moreover, since the method relies on the assumption that the relationship between coarse-scale fluxes and pressure differences is local, it can be used as a numerical tool to investigate the limits of validity of Darcy's law and to understand the link between pore-scale quantities and their corresponding Darcy-scale variables.

Random mating with a finite number of matings.

Random mating is the null model central to population genetics. One assumption behind random mating is that individuals mate an infinite number of times. This is obviously unrealistic. Here we show that when each female mates a finite number of times, the effective size of the population is substantially decreased.

Ablation of caterpillar labial salivary glands: technique for determining the role of saliva in insect-plant interactions.

There has been an ardent interest in herbivore saliva due to its roles in inducing plant defenses and its impact on herbivore fitness. Two techniques are described that inhibit the secretion of labial saliva from the caterpillar, Helicoverpa zea, during feeding. The methods rely on cauterizing the caterpillar's spinneret, the principal secretory structure of the labial glands, or surgically removing the labial salivary gland. Both methods successfully inhibit secretion of saliva and the principal salivary enzyme glucose oxidase. Caterpillars with inhibited saliva production feed at similar rates as the untreated caterpillars, pupate, and emerge as adults. Glucose oxidase has been suggested to increase the caterpillar's survival through the suppression of inducible anti-herbivore defenses in plants. Tobacco (Nicotiana tabacum) leaves fed on by caterpillars with ablated salivary glands had significantly higher levels of nicotine, an inducible anti-herbivore defense compound of tobacco, than leaves fed upon by caterpillars with intact labial salivary glands. Tomato (Lycopersicon esculentum) leaves fed upon by caterpillars with suppressed salivary secretions showed greatly reduced evidence of hydrogen peroxide formation compared to leaves fed upon by intact caterpillars. These two methods are useful techniques for determining the role that saliva plays in manipulating plant anti-herbivore defenses.

Solid phase microextraction as a short-term sampling technique for BTEX occupational exposure

Solid phase microextraction (SPME) has been widely used for many years in various applications, such as environmental and water samples, food and fragrance analysis, or biological fluids. The aim of this study was to suggest the SPME method as an alternative to conventional techniques used in the evaluation of worker exposure to benzene, toluene, ethylbenzene, and xylene (BTEX). Polymethylsiloxane-carboxen (PDMS/CAR) showed as the most effective stationary phase material for sorbing BTEX among other materials (polyacrylate, PDMS, PDMS/divinylbenzene, Carbowax/divinylbenzene). Various experimental conditions were studied to apply SPME to BTEX quantitation in field situations. The uptake rate of the selected fiber (75 microm PDMS/CAR) was determined for each analyte at various concentrations, relative humidities, and airflow velocities from static (calm air) to dynamic (> 200 cm/s) conditions. The SPME method also was compared with the National Institute of Occupational Safety and Health method 1501. Unlike the latter, the SPME approach fulfills the new requirement for the threshold limit value-short term exposure limit (TLV-STEL) of 2.5 ppm for benzene (8 mg/m(3))

High-resolution selective three-dimensional magnetic resonance coronary angiography with navigator-echo technique: segment-by-segment evaluation of coronary artery stenosis.

PURPOSE: To investigate the feasibility of high-resolution selective three-dimensional (3D) magnetic resonance coronary angiography (MRCA) in the evaluation of coronary artery stenoses. MATERIALS AND METHODS: In 12 patients with coronary artery stenoses, MRCA of the coronary artery groups, including the coronary segments with stenoses of 50% or greater based on conventional x-ray coronary angiography (CAG), was performed with double-oblique imaging planes by orienting the 3D slab along the major axis of each right coronary artery-left circumflex artery (RCA-LCX) group and each left main trunk-left anterior descending artery (LMT-LAD) group. Ten RCA-LCX and five LMT-LAD MR angiograms were obtained, and the results were compared with those of conventional x-ray angiography. RESULTS: Among 70 coronary artery segments expected to be covered, a total of 49 (70%) segments were fully demonstrated in diagnostic quality. The identification of segmental location of stenoses showed as high an accuracy as 96%. The retrospective analysis for stenosis of 50% or greater yielded the sensitivity, specificity, and accuracy of 80%, 85%, and 84%, respectively. CONCLUSION: Selective 3D MRCA has the potential for segment-by-segment evaluation of major portions of the right and left coronary arteries with high accuracy.

An algebraic operator approach to the analysis of Gerber-Shiu functions

We introduce an algebraic operator framework to study discounted penalty functions in renewal risk models. For inter-arrival and claim size distributions with rational Laplace transform, the usual integral equation is transformed into a boundary value problem, which is solved by symbolic techniques. The factorization of the differential operator can be lifted to the level of boundary value problems, amounting to iteratively solving first-order problems. This leads to an explicit expression for the Gerber-Shiu function in terms of the penalty function.