Stability and asymptotic analysis of a fluid-particle interaction model

We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov-Fokker-Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of macroscopic two-phase models.

The effects of uncertainty about countries' compliance with the Stability and Growth Pact

The Stability and Growth Pact (SGP) was established to govern discretionary fiscal policy in the European Monetary Union. This article studies the effects created when there is uncertainty about the members’ commitment to respecting the established deficit limits in the SGP. We will show that, even if countries respect the SGP deficit ceiling, the presence of uncertainty about their compliance will bring about higher volatility in key economic variables, which could, in turn, affect unemployment and growth negatively. This finding shows that it is important to reduce uncertainty about the members’ commitment towards the SGP. Keywords: fiscal policy rules, monetary union, Stability and Growth Pact, uncertainty, commitment. JEL No.: E63, F55, H62, H87

Compositional hypotheses of subcompositional stability and specific perturbation change and their testing

In standard multivariate statistical analysis common hypotheses of interest concern changes in mean vectors and subvectors. In compositional data analysis it is now well established that compositional change is most readily described in terms of the simplicial operation of perturbation and that subcompositions replace the marginal concept of subvectors. To motivate the statistical developments of this paper we present two challenging compositional problems from food production processes.Against this background the relevance of perturbations and subcompositions can beclearly seen. Moreover we can identify a number of hypotheses of interest involvingthe specification of particular perturbations or differences between perturbations and also hypotheses of subcompositional stability. We identify the two problems as being the counterpart of the analysis of paired comparison or split plot experiments and of separate sample comparative experiments in the jargon of standard multivariate analysis. We then develop appropriate estimation and testing procedures for a complete lattice of relevant compositional hypotheses

Stochastic stability and the evolution of coordination in spatially structured populations.

Animals can often coordinate their actions to achieve mutually beneficial outcomes. However, this can result in a social dilemma when uncertainty about the behavior of partners creates multiple fitness peaks. Strategies that minimize risk ("risk dominant") instead of maximizing reward ("payoff dominant") are favored in economic models when individuals learn behaviors that increase their payoffs. Specifically, such strategies are shown to be "stochastically stable" (a refinement of evolutionary stability). Here, we extend the notion of stochastic stability to biological models of continuous phenotypes at a mutation-selection-drift balance. This allows us to make a unique prediction for long-term evolution in games with multiple equilibria. We show how genetic relatedness due to limited dispersal and scaled to account for local competition can crucially affect the stochastically-stable outcome of coordination games. We find that positive relatedness (weak local competition) increases the chance the payoff dominant strategy is stochastically stable, even when it is not risk dominant. Conversely, negative relatedness (strong local competition) increases the chance that strategies evolve that are neither payoff nor risk dominant. Extending our results to large multiplayer coordination games we find that negative relatedness can create competition so extreme that the game effectively changes to a hawk-dove game and a stochastically stable polymorphism between the alternative strategies evolves. These results demonstrate the usefulness of stochastic stability in characterizing long-term evolution of continuous phenotypes: the outcomes of multiplayer games can be reduced to the generic equilibria of two-player games and the effect of spatial structure can be analyzed readily.

Experimental and computational study on the synthesis and characterization of self-assembling meso/macroporous materials in highly concentrated emulsions

Report for the scientific sojourn carried out at Massachusetts General Hospital Cancer Center-Harvard Medical School, Estats Units, from 2010 to 2011. The project aims to study the aggregation behavior of amphiphilic molecules in the continuous phase of highly concentrated emulsions, which can be used as templates for the synthesis of meso/macroporous materials. At this stage of the project, we have investigated the self-assembly of diblock and triblock surfactants under the effect of a confined geometry being surrounded by the droplets of the dispersed phase. These droplets limit the growth of the aggregates, deeply modify their orientation and hence alter their spatial arrangement as compared to the self-assembly taking place far enough from any boundary surface, that is in the bulk. By performing Monte Carlo simulations, we have showed that the interface between the dispersed and continuous phases as well as its shape has a significant impact on the structural order of the resulting aggregates and hence on the potential applications of highly concentrated emulsions as reaction media, drug delivery systems, or templates for meso/macroporous materials. Due to the combined effect of symmetry breaking and morphological frustration, very intriguing structures, such as square columnar liquid crystals, twisted X-shaped aggregates, and helical phases of cylindrical aggregates, never observed in the bulk for the same model surfactant, have been found. The presence of other more conventional structures, such as micelles and cubic and hexagonal liquid crystals, formed at low and high amphiphilic concentrations, respectively, further enhance the interest on this already rich aggregation behavior.

Phosphorylation of neurofilament subunit NF-M is regulated by activation of NMDA receptors and modulates cytoskeleton stability and neuronal shape.

The cytoskeleton is essential for the structural organization of neurons and is influenced during development by excitatory stimuli such as activation of glutamate receptors. In particular, NMDA receptors are known to modulate the function of several cytoskeletal proteins and to influence cell morphology, but the underlying molecular and cellular mechanisms remain unclear. Here, we characterized the neurofilament subunit NF-M in cultures of developing mouse cortical neurons chronically exposed to NMDA receptor antagonists. Western blots analysis showed that treatment of cortical neurons with MK801 or AP5 shifted the size of NF-M towards higher molecular weights. Dephosphorylation assay revealed that this increased size of NF-M observed after chronic exposure to NMDA receptor antagonists was due to phosphorylation. Neurons treated with cyclosporin, an inhibitor of the Ca(2+)-dependent phosphatase calcineurin, also showed increased levels of phosphorylated NF-M. Moreover, analysis of neurofilament stability revealed that the phosphorylation of NF-M, resulting from NMDA receptor inhibition, enhanced the solubility of NF-M. Finally, cortical neurons cultured in the presence of the NMDA receptor antagonists MK801 and AP5 grew longer neurites. Together, these data indicate that a blockade of NMDA receptors during development of cortical neurons increases the phosphorylation state and the solubility of NF-M, thereby favoring neurite outgrowth. This also underlines that dynamics of the neurofilament and microtubule cytoskeleton is fundamental for growth processes.

Effect of supplemental vitamin E on the performance of growing-finishing pigs fed stored versus freshly harvested barley and on the storage stability and eating quality of frozen pork

Lihasikojen E-vitamiinin tarve ruokittaessa vastapuidulla ohralla ja rehuun lisätyn E-vitamiinin vaikutus lihan pakastussäilyvyyteen ja syöntilaatuun

Phenotypic stability and genetic gains in six-year girth growth of Hevea clones

Rubber tree [Hevea brasiliensis (Willd. ex Adr. de Juss.) Müell. Arg.] budgrafts of seven clones were evaluated on five contrasting sites in the plateau region of the São Paulo State, Brazil. The objective of this work was to study the phenotypic stability for girth growth. The experimental design was a randomized block design with three replications and seven treatments. Analysis of variance of girth at six-year plant growth indicated a highly significant clone x site interaction. Only linear sites and clone x site components of clone x year interaction were significant, indicating that the performance of clones over sites for this trait could be predicted. The clones GT 1 and PB 235 showed the greatest stability in relation to girth growth, with foreseen responses to change, introduced in the sites. The clones PB 235 and IAN 873 showed significative difference in relation to regression coefficient, representing clones with specific adaptability on favorable and unfavorable sites respectively. The clone GT 1 became the most promissory one in the study of stability and adaptability even showing low girth growth. Expected genetic gains from planting sites, along with estimates of clonal variance and repeatability of clonal means are generally greatest or close to the greatest when selection is done at the same site.

Fanconi anemia and genome stability : the role of FANCM

RÉSUMÉ: Le génome de toute cellule est susceptible d'être attaqué par des agents endogènes et exogènes. Afin de préserver l'intégrité génomique, les cellules ont développé des multitudes de mécanismes. La réplication de l'ADN, une étape importante durant le cycle cellulaire, constitue un stress et présente un danger important pour l'intégrité du génome. L'anémie de Fanconi est une maladie héréditaire rare dont les protéines impliquées semblent jouer un rôle crucial dans la réponse au stress réplicatif. La maladie est associée à une instabilité chromosomique ainsi qu'à une forte probabilité de développer des cancers. Les cellules des patients souffrant de l'anémie de Fanconi sont sensibles à des agents interférant avec la réplication de l'ADN, et plus particulièrement àdes agents qui fient les deux brins d'ADN d'une manière covalente. L'anémie de Fanconi est une maladie génétiquement hétérogène. Treize protéines ont pu être identifiées. Elles semblent figurer dans une même voie de signalisation qui est aussi connue sous le nom de « FA/BRCA pathway », car un des gènes est identique au gène BRCA2 (breast cancer susceptibility gene 2). Huit protéines forment un complexe nucléaire dont l'intégrité est nécessaire à la monoubiquitination de deux autres protéines, FANCD2 et FANCI, en réponse à un stress réplicatif. A ce jour, la fonction moléculaire des protéines du « FA/BRCA pathway »reste encore mal décrite. Au début de mon travail de thèse, nous avons donc décidé de purifier les protéines du complexe nucléaire et d'étudier leurs propriétés biochimiques. Nous avons tout d'abord étudié les cinq protéines connues à l'époque qui sont FANCA, FANCC, FANCE, FANCF et FANCG. Par la suite, nous avons étendu notre étude à des protéines découvertes plus récemment, FANCL, FANCM et FAAP24, en concentrant finalement notre travail sur la caractérisation de FANCM. FANCM, contrairement aux autres protéines du complexe, est constituée de deux domaines conservés suggérant un rôle important dans le métabolisme de l'ADN. Il s'agit d'un domaine « DEAH box hélicase »situé dans la partie N-terminale et d'un domaine « ERCC4 nuclease »situé dans la partie C-terminale de la protéine. Dans cette étude, nous avons purifié avec succès la protéine FANCM entière à partir d'un système hétérologue. Nous montrons que FANCM s'attache de manière spécifique à des jonctions de Holliday et des fourches de réplication. De plus, nous démontrons que FANCM peut déplacer le point de jonction de ces structures via son domaine hélicase de manière dépendante de l'ATP. FANCM est aussi capable de dissocier de grands intermédiaires de la recombinaison, via la migration de jonctions de Holliday à travers une région d'homologie de 2.6 kb. Tous ces résultats suggèrent que FANCM peut s'attacher spécifiquement à des fourches de réplication et à des jonctions de Holliday in vitro et que son domaine hélicase est associé à une activité migratoire efficace. Nous pensons que FANCM peut avoir un rôle direct sur les intermédiaires de réplication. Ceci est en accord avec l'idée que les protéines de l'anémie de Fanconi coordonnent la réparation de l'ADN au niveau des fourches de réplication arrêtées. Nos résultats donnent une première indication quant au rôle de FANCM dans la cellule et peuvent contribuer à élucider la fonction de cette voie de signalisation peu comprise jusqu'à présent. SUMMARY: The genome of every cell is subject to a constant offence by endogenous and exogenous agents. Not surprisingly; cells have evolved a multitude of mechanisms which aim at preserving genomic integrity. A key step during the life cycle of a cell, DNA replication itself, constitutes a special danger to the integrity of the genome. The proteins defective in the rare hereditary disease Fanconi anemia (FA) are suspected to play a crucial role in the cellular response to DNA replication stress. The disease is associated with chromosomal instability and pronounced cancer susceptibility. Cells from Fanconi anemia patients are sensitive to a variety of agents which interfere with DNA replication, DNA interstrand cross-linking agents being particularly threatening to their survival. Fanconi anemia is a genetically heterogeneous disease with 13 different proteins identified, which seem to work together in a common pathway. Since one of the FA genes is identical to the breast cancer susceptibility gene BRCA2, it is also referred to as the FA/BRCA pathway. Eight proteins form a nuclear complex, whose integriry is required for the monoubiquitination of two other FA proteins, FANCD2 and FANCI, in response to DNA replication stress. Despite intensive research, the function of the FA/BRCA pathway at a molecular level has remained largely elusive so far. At the beginning of my thesis, we therefore decided to purify the proteins of the FA core complex and to investigate their biochemical properties. We started with the five proteins which were known at that time, FANCA, FANCC, FANCE, FANCF, and FACG. Later on, we extended our studies to the newly discovered proteins FANCL, FANCM, and FAAP24, and eventually focused our work on the characterisation of FANCM. In contrast to the other core complex proteins, FANCM contains two conserved domains, which point to a role in DNA metabolism: an N-terminal DEAH box helicase domain and a C-terminal ERCC4 nuclease domain. In this study, we have successfully purified full-length FANCM from a recombinant source. We show that purified FANCM binds to branched DNA molecules, such as Holliday junctions and replication forks, with high specificity and affinity. In addition, we demonstrate that FANCM can translocate the junction point of branched DNA molecules due to its helicase domain in an ATPase-dependent manner. FANCM can even dissociate large recombination intermediates, via branch migration of Holliday junctions through a 2.6 kb region of homology. Taken together, our data suggest that FANCM can specifically bind to replication forks and Holliday junctions in vitro, and that its DEAH box helicase domain is associated with a potent branch migration activity. We propose that FANCM might have a direct role in the processing of DNA replication intermediates. This is consistent with the current view that FA proteins coordinate DNA repair at stalled replication forks. Our findings provide a first hint as to the context in which FANCM might play a role in the cell. We are optimistic that they might be key to further elucidate the function of a pathway which is far from being understood.

Agronomic performance, chromosomal stability and resistance to velvetbean caterpillar of transgenic soybean expressing cry1Ac gene

The objective of this work was to analyze the agronomic performance and chromosomal stability of transgenic homozygous progenies of soybean [Glycine max (L.) Merrill.], and to confirm the resistance of these plants against Anticarsia gemmatalis. Eleven progenies expressing cry1Ac, hpt and gusA genes were evaluated for agronomic characteristics in relation to the nontransformed parent IAS 5 cultivar. Cytogenetical analysis was carried out on transgenic and nontransgenic plants. Two out of the 11 transgenic progenies were also evaluated, in vitro and in vivo, for resistance to A. gemmatalis. Two negative controls were used in resistance bioassays: a transgenic homozygous line, containing only the gusA reporter gene, and nontransgenic 'IAS 5' plants. The presence of cry1Ac transgene affected neither the development nor the yield of plants. Cytogenetical analysis showed that transgenic plants presented normal karyotype. In detached-leaf bioassay, cry1Ac plants exhibited complete efficacy against A. gemmatalis, whereas negative controls were significantly damaged. Whole-plant feeding assay confirmed a very high protection of cry1Ac against velvetbean caterpillar, while nontransgenic 'IAS 5' plants and homozygous gusA line exhibited 56.5 and 71.5% defoliation, respectively. The presence of cry1Ac transgene doesn't affect the majority of agronomic traits (including yield) of soybean and grants high protection against A. gemmatalis.

MRE11-RAD50-NBS1 is a critical regulator of FANCD2 stability and function during DNA double-strand break repair.

Monoubiquitination of the Fanconi anaemia protein FANCD2 is a key event leading to repair of interstrand cross-links. It was reported earlier that FANCD2 co-localizes with NBS1. However, the functional connection between FANCD2 and MRE11 is poorly understood. In this study, we show that inhibition of MRE11, NBS1 or RAD50 leads to a destabilization of FANCD2. FANCD2 accumulated from mid-S to G2 phase within sites containing single-stranded DNA (ssDNA) intermediates, or at sites of DNA damage, such as those created by restriction endonucleases and laser irradiation. Purified FANCD2, a ring-like particle by electron microscopy, preferentially bound ssDNA over various DNA substrates. Inhibition of MRE11 nuclease activity by Mirin decreased the number of FANCD2 foci formed in vivo. We propose that FANCD2 binds to ssDNA arising from MRE11-processed DNA double-strand breaks. Our data establish MRN as a crucial regulator of FANCD2 stability and function in the DNA damage response.

Protein loop compaction and the origin of the effect of arginine and glutamic acid mixtures on solubility, stability and transient oligomerization of proteins

Addition of a 50 mM mixture of l-arginine and l-glutamic acid (RE) is extensively used to improve protein solubility and stability, although the origin of the effect is not well understood. We present Small Angle X-ray Scattering (SAXS) and Nuclear Magnetic Resonance (NMR) results showing that RE induces protein compaction by collapsing flexible loops on the protein core. This is suggested to be a general mechanism preventing aggregation and improving resistance to proteases and to originate from the polyelectrolyte nature of RE. Molecular polyelectrolyte mixtures are expected to display long range correlation effects according to dressed interaction site theory. We hypothesize that perturbation of the RE solution by dissolved proteins is proportional to the volume occupied by the protein. As a consequence, loop collapse, minimizing the effective protein volume, is favored in the presence of RE.

Development, physical-chemical stability and release studies of four alcohol-free spironolactone suspensions for use in pediatrics

Dissolution studies have become of great significance because, in most cases, drug dissolution is the rate-limiting step in the absorption process. As occurs with solid oral dosage forms, heterogeneous disperse systems (suspensions) could also have some problems with their in vitro dissolution. The objective of this study was to evaluate influence of the excipients on the release of spironolactone from four alcohol free suspensions (pharmaceutical compounding) of spironolactone 5 mg/mL suitable for pediatric use. Also the comparison of the physical and chemical stability of the suspensions stored at 4, 25 and 40 ºC over a 60- day period has been studied. Rheological behavior, particle size, a prediction of long-term physical stability, pH and assay of spironolactone by HPLC were assessed at prefixed times. The dissolution profile of each suspension was determined and compared with that of the commercial tablets. A microbiological study of the best formula was also performed. Chemically, the four spironolactone suspensions were stable for 60 days stored at three temperatures; Suspension IV had optimum pH values and the highest recovery percentage. In terms of physical stability, sedimentation occurred in Suspension IV and flotation of spironolactone in Suspensions I, II and III. Suspension III had the highest viscosity and the slowest drug release. Suspension IV was also microbiologically stable for 60 days. In conclusion, Suspension IV had the best properties and the least suitable form was Suspension III, as its high viscosity made it difficult to achieve homogeneous redispersion, and it had the slowest dissolution profile.