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.

3D visualization software to analyze topological outcomes of topoisomerase reactions.

The action of various DNA topoisomerases frequently results in characteristic changes in DNA topology. Important information for understanding mechanistic details of action of these topoisomerases can be provided by investigating the knot types resulting from topoisomerase action on circular DNA forming a particular knot type. Depending on the topological bias of a given topoisomerase reaction, one observes different subsets of knotted products. To establish the character of topological bias, one needs to be aware of all possible topological outcomes of intersegmental passages occurring within a given knot type. However, it is not trivial to systematically enumerate topological outcomes of strand passage from a given knot type. We present here a 3D visualization software (TopoICE-X in KnotPlot) that incorporates topological analysis methods in order to visualize, for example, knots that can be obtained from a given knot by one intersegmental passage. The software has several other options for the topological analysis of mechanisms of action of various topoisomerases.

Visualization of recombination intermediates produced by RAD52-mediated single-strand annealing.

Double-strand breaks (DSBs) occur frequently during DNA replication. They are also caused by ionizing radiation, chemical damage or as part of the series of programmed events that occur during meiosis. In yeast, DSB repair requires RAD52, a protein that plays a critical role in homologous recombination. Here we describe the actions of human RAD52 protein in a model system for single-strand annealing (SSA) using tailed (i.e. exonuclease resected) duplex DNA molecules. Purified human RAD52 protein binds resected DSBs and promotes associations between complementary DNA termini. Heteroduplex intermediates of these recombination reactions have been visualized by electron microscopy, revealing the specific binding of multiple rings of RAD52 to the resected termini and the formation of large protein complexes at heteroduplex joints formed by RAD52-mediated annealing.

Volumetric quantification of atherosclerotic plaque in CT considering partial volume effect.

Coronary artery calcification (CAC) is quantified based on a computed tomography (CT) scan image. A calcified region is identified. Modified expectation maximization (MEM) of a statistical model for the calcified and background material is used to estimate the partial calcium content of the voxels. The algorithm limits the region over which MEM is performed. By using MEM, the statistical properties of the model are iteratively updated based on the calculated resultant calcium distribution from the previous iteration. The estimated statistical properties are used to generate a map of the partial calcium content in the calcified region. The volume of calcium in the calcified region is determined based on the map. The experimental results on a cardiac phantom, scanned 90 times using 15 different protocols, demonstrate that the proposed method is less sensitive to partial volume effect and noise, with average error of 9.5% (standard deviation (SD) of 5-7mm(3)) compared with 67% (SD of 3-20mm(3)) for conventional techniques. The high reproducibility of the proposed method for 35 patients, scanned twice using the same protocol at a minimum interval of 10 min, shows that the method provides 2-3 times lower interscan variation than conventional techniques.

Da Bisanzio alla Santa Russia : Nikodim Kondakov (1844-1925) e la nascita della storia dell'arte in Russia : con la traduzione del primo volume dell' "Ikonografija Bogomateri"

Da Bisanzio alla Santa Russia Résumé Ivan Foletti Le texte du premier volume de YIkonografija Bogomatri (Iconographie de la mère de Dieu), publié en 1914 à Saint Pétersbourg par Nikodim Kondakov et traduit dans le cadre de ce travail, soulève chez le lecteur contemporain de nombreuses questions quant au développement des études byzantines, entre la fin du XIXe et le début du XXe siècle. Il s'agit, avant tout, de comprendre les enjeux fondamentaux de la naissance de cette discipline, dans le cadre de l'Europe romantique et plus particulièrement de son acculturation à la réalité russe. En se concentrant sur le personnage de Nikodim Kondakov, considéré par ses contemporains comme le patriarche des études byzantines, ce travail propose d'articuler la réflexion autour de deux axes principaux. Il s'agit d'une part de la relation entre histoire de l'art et société : dans le contexte russe et plus largement dans celui de l'Europe, la recherche semble se développer en étroite relation avec les tendances politiques et sociales de ces années. C'est probablement la raison du choix pour Nikodim Kondakov de se dédier aux études de Byzance, dans les années où la Russie prépare sa guerre contre la Turquie (1877-1878), tandis que l'opinion publique est martelée avec un revival de l'ancienne idéologie de Moscou comme « troisième Rome » et héritière de Byzance. Un autre aspect significatif est la décision de ce même chercheur d'étudier les antiquités russes sous le règne de Alexandre III, le tzar « contre-réformateur », quand la Russie se replie sur elle même autour de trois mots d'ordre: Orthodoxie, autocratie, et nationalité. D'autre part, la réception de Kondakov en Occident, semble aussi dépendre de questions politiques. Son accueil très favorable en France et en Angleterre contraste avec une perception bien plus négative en Autriche et en Allemagne ; il s'agit là d'une position en étonnante harmonie avec les traités politiques - l'alliance franco-russe de 1891 et la triple entente de 1911 qui opposent les pays membres aux empires centraux. Le deuxième axe considéré est celui d'une analyse systématique de la naissance des études sur les images cultuelles russes, les icônes. Les pages dédiées à ce phénomène dans Γ Ikonograflja Bogomatri, mais également dans les autres ouvrages de Kondakov, posent clairement la question des raisons nationalistes et populistes de la redécouverte, autour de 1900, en Russie et en Europe de cette expression visuelle. Conclusion logique de la tradition historiographique du XIXe siècle - qui s'est préoccupé des icônes perçues comme documents historiques - cette nouvelle vague d'intérêt pose la question de l'icône commé"oeuvre d'art. C'est autour de ce débat, alimenté également par l'apparition des avant-gardes, que se situent les plus importants savants russes de ces années en opposant deux manières radicalement différentes de percevoir l'art : à l'approche positiviste s'oppose celle d'un renouveau d'Hegel. Ce débat sera brusquement interrompu par la révolution, suivie par les années staliniennes qui vont définitivement « discerner » laquelle des deux méthodes et approches est la « juste », en congelant de fait, pour des décennies, toute possibilité de discussion. Cette thèse souhaiterait donc ouvrir en Occident un débat pour l'instant marginal dans les études : celui de la naissance d'une histoire de l'art moderne en Russie, mais également de l'émergence d'une nouvelle Europe savante autour de 1900 où l'histoire de l'art byzantin s'affirme comme un domaine émergent.

Free-breathing inner-volume black-blood imaging of the human heart using two-dimensionally selective local excitation at 3 T.

Black-blood fast spin-echo imaging is a powerful technique for the evaluation of cardiac anatomy. To avoid fold-over artifacts, using a sufficiently large field of view in phase-encoding direction is mandatory. The related oversampling affects scanning time and respiratory chest motion artifacts are commonly observed. The excitation of a volume that exclusively includes the heart without its surrounding structures may help to improve scan efficiency and minimize motion artifacts. Therefore, and by building on previously reported inner-volume approach, the combination of a black-blood fast spin-echo sequence with a two-dimensionally selective radiofrequency pulse is proposed for selective "local excitation" small field of view imaging of the heart. This local excitation technique has been developed, implemented, and tested in phantoms and in vivo. With this method, small field of view imaging of a user-specified region in the human thorax is feasible, scanning becomes more time efficient, motion artifacts can be minimized, and additional flexibility in the choice of imaging parameters can be exploited.

Whole-heart coronary vein imaging: a comparison between non-contrast-agent- and contrast-agent-enhanced visualization of the coronary venous system.

The feasibility of three-dimensional (3D) whole-heart imaging of the coronary venous (CV) system was investigated. The hypothesis that coronary magnetic resonance venography (CMRV) can be improved by using an intravascular contrast agent (CA) was tested. A simplified model of the contrast in T(2)-prepared steady-state free precession (SSFP) imaging was applied to calculate optimal T(2)-preparation durations for the various deoxygenation levels expected in venous blood. Non-contrast-agent (nCA)- and CA-enhanced images were compared for the delineation of the coronary sinus (CS) and its main tributaries. A quantitative analysis of the resulting contrast-to-noise ratio (CNR) and signal-to-noise ratio (SNR) in both approaches was performed. Precontrast visualization of the CV system was limited by the poor CNR between large portions of the venous blood and the surrounding tissue. Postcontrast, a significant increase in CNR between the venous blood and the myocardium (Myo) resulted in a clear delineation of the target vessels. The CNR improvement was 347% (P < 0.05) for the CS, 260% (P < 0.01) for the mid cardiac vein (MCV), and 430% (P < 0.05) for the great cardiac vein (GCV). The improvement in SNR was on average 155%, but was not statistically significant for the CS and the MCV. The signal of the Myo could be significantly reduced to about 25% (P < 0.001).