Systematic weakly nonlinear analysis of interfacial instabilities in Hele-Shaw flows

We develop a systematic method to derive all orders of mode couplings in a weakly nonlinear approach to the dynamics of the interface between two immiscible viscous fluids in a Hele-Shaw cell. The method is completely general: it applies to arbitrary geometry and driving. Here we apply it to the channel geometry driven by gravity and pressure. The finite radius of convergence of the mode-coupling expansion is found. Calculation up to third-order couplings is done, which is necessary to account for the time-dependent Saffman-Taylor finger solution and the case of zero viscosity contrast. The explicit results provide relevant analytical information about the role that the viscosity contrast and the surface tension play in the dynamics of the system. We finally check the quantitative validity of different orders of approximation and a resummation scheme against a physically relevant, exact time-dependent solution. The agreement between the low-order approximations and the exact solution is excellent within the radius of convergence, and is even reasonably good beyond this radius.

Systematic weakly nonlinear analysis of radial viscous fingering

We present a weakly nonlinear analysis of the interface dynamics in a radial Hele-Shaw cell driven by both injection and rotation. We extend the systematic expansion introduced in [E. Alvarez-Lacalle et al., Phys. Rev. E 64, 016302 (2001)] to the radial geometry, and compute explicitly the first nonlinear contributions. We also find the necessary and sufficient condition for the uniform convergence of the nonlinear expansion. Within this region of convergence, the analytical predictions at low orders are compared satisfactorily to exact solutions and numerical integration of the problem. This is particularly remarkable in configurations (with no counterpart in the channel geometry) for which the interplay between injection and rotation allows that condition to be satisfied at all times. In the case of the purely centrifugal forcing we demonstrate that nonlinear couplings make the interface more unstable for lower viscosity contrast between the fluids.

Scaling in relativistic Thomas-Fermi approach for nuclei

By using the scaling method we derive the virial theorem for the relativistic mean field model of nuclei treated in the ThomasFermi approach. The ThomasFermi solutions statisfy the stability condition against scaling. We apply the formalism to study the excitation energy of the breathing mode in finite nuclei with several relativistic parameter sets of common use.

Film-free laser forward printing of transparent and weakly absorbing liquids

A laser-based technique for printing transparent and weakly absorbing liquids is developed. Its principle of operation relies in the tight focusing of short laser pulses inside the liquid and close to its free surface, in such a way that the laser radiation is absorbed in a tiny volume around the beam waist, with practically no absorption in any other location along the beam path. If the absorbed energy overcomes the optical breakdown threshold, a cavitation bubble is generated, and its expansion results in the propulsion of a small fraction of liquid which can be collected on a substrate, leading to the printing of a microdroplet for each laser pulse. The technique does not require the preparation of the liquid in thin film form, and its forward mode of operation imposes no restriction concerning the optical properties of the substrate. These characteristics make it well suited for printing a wide variety of materials of interest in diverse applications. We demonstrate that the film-free laser forward printing technique is capable of printing microdroplets with good resolution, reproducibility and control, and analyze the influence of the main process parameter, laser pulse energy. The mechanisms of liquid printing are also investigated: time-resolved imaging provides a clear picture of the dynamics of liquid transfer which allows understanding the main features observed in the printed droplets.

Stochastic semiclassical equations for weakly inhomogeneous cosmologies

Semiclassical Einstein-Langevin equations for arbitrary small metric perturbations conformally coupled to a massless quantum scalar field in a spatially flat cosmological background are derived. Use is made of the fact that for this problem the in-in or closed time path effective action is simply related to the Feynman-Vernon influence functional which describes the effect of the ``environment,'' the quantum field which is coarse grained here, on the ``system,'' the gravitational field which is the field of interest. This leads to identify the dissipation and noise kernels in the in-in effective action, and to derive a fluctuation-dissipation relation. A tensorial Gaussian stochastic source which couples to the Weyl tensor of the spacetime metric is seen to modify the usual semiclassical equations which can be veiwed now as mean field equsations. As a simple application we derive the correlation functions of the stochastic metric fluctuations produced in a flat spacetime with small metric perturbations due to the quantum fluctuations of the matter field coupled to these perturbations.

Congo grass grown in rotation with soybean affects phosphorus bound to soil carbon

The phosphorus supply to crops in tropical soils is deficient due to its somewhat insoluble nature in soil, and addition of P fertilizers has been necessary to achieve high yields. The objective of this study was to examine the mechanisms through which a cover crop (Congo grass - Brachiaria ruziziensis) in rotation with soybean can enhance soil and fertilizer P availability using long-term field trials and laboratory chemical fractionation approaches. The experimental field had been cropped to soybean in rotation with several species under no-till for six years. An application rate of no P or 240 kg ha-1 of P2O5 had been applied as triple superphosphate or as Arad rock phosphate. In April 2009, once more 0.0 or 80.0 kg ha-1 of P2O5 was applied to the same plots when Congo grass was planted. In November 2009, after Congo grass desiccation, soil samples were taken from the 0-5 and 5-10 cm depth layer and soil P was fractionated. Soil-available P increased to the depth of 10 cm through growing Congo grass when P fertilizers were applied. The C:P ratio was also increased by the cover crop. Congo grass cultivation increased P content in the soil humic fraction to the depth of 10 cm. Congo grass increases soil P availability by preventing fertilizer from being adsorbed and by increasing soil organic P.

First-passage times for non-Markovian processes: Correlated impacts on bound processes

Our previously developed stochastic trajectory analysis technique has been applied to the calculation of first-passage time statistics of bound processes. Explicit results are obtained for linearly bound processes driven by dichotomous fluctuations having exponential and rectangular temporal distributions.

Semiclassical equations for weakly inhomogeneous cosmologies

The in-in effective action formalism is used to derive the semiclassical correction to Einsteins equations due to a massless scalar quantum field conformally coupled to small gravitational perturbations in spatially flat cosmological models. The vacuum expectation value of the stress tensor of the quantum field is directly derived from the renormalized in-in effective action. The usual in-out effective action is also discussed and it is used to compute the probability of particle creation. As one application, the stress tensor of a scalar field around a static cosmic string is derived and the back-reaction effect on the gravitational field of the string is discussed.

MAP/ERK kinase kinase 1 (MEKK1) mediates transcriptional repression by interacting with polycystic kidney disease-1 (PKD1) promoter-bound p53 tumor suppressor protein.

Mitogen-activated protein kinase (MAPK) cascades regulate a wide variety of cellular processes that ultimately depend on changes in gene expression. We have found a novel mechanism whereby one of the key MAP3 kinases, Mekk1, regulates transcriptional activity through an interaction with p53. The tumor suppressor protein p53 down-regulates a number of genes, including the gene most frequently mutated in autosomal dominant polycystic kidney disease (PKD1). We have discovered that Mekk1 translocates to the nucleus and acts as a co-repressor with p53 to down-regulate PKD1 transcriptional activity. This repression does not require Mekk1 kinase activity, excluding the need for an Mekk1 phosphorylation cascade. However, this PKD1 repression can also be induced by the stress-pathway stimuli, including TNFα, suggesting that Mekk1 activation induces both JNK-dependent and JNK-independent pathways that target the PKD1 gene. An Mekk1-p53 interaction at the PKD1 promoter suggests a new mechanism by which abnormally elevated stress-pathway stimuli might directly down-regulate the PKD1 gene, possibly causing haploinsufficiency and cyst formation.

Determinacy and Weakly Ramsey sets in Banach spaces

We give a sufficient condition for a set of block subspaces in an infinite-dimensional Banach space to be weakly Ramsey. Using this condition we prove that in the Levy-collapse of a Mahlo cardinal, every projective set is weakly Ramsey. This, together with a construction of W. H. Woodin, is used to show that the Axiom of Projective Determinacy implies that every projective set is weakly Ramsey. In the case of co we prove similar results for a stronger Ramsey property. And for hereditarily indecomposable spaces we show that the Axiom of Determinacy plus the Axiom of Dependent Choices imply that every set is weakly Ramsey. These results are the generalizations to the class of projective sets of some theorems from W. T. Gowers, and our paper "Weakly Ramsey sets in Banach spaces."

Chemoconvection patterns in the Methylene-blue-glucose system: Weakly nonlinear analysis

The oxidation of solutions of glucose with methylene-blue as a catalyst in basic media can induce hydrodynamic overturning instabilities, termed chemoconvection in recognition of their similarity to convective instabilities. The phenomenon is due to gluconic acid, the marginally dense product of the reaction, which gradually builds an unstable density profile. Experiments indicate that dominant pattern wavenumbers initially increase before gradually decreasing or can even oscillate for long times. Here, we perform a weakly nonlinear analysis for an established model of the system with simple kinetics, and show that the resulting amplitude equation is analogous to that obtained in convection with insulating walls. We show that the amplitude description predicts that dominant pattern wavenumbers should decrease in the long term, but does not reproduce the aforementioned increasing wavenumber behavior in the initial stages of pattern development. We hypothesize that this is due to horizontally homogeneous steady states not being attained before pattern onset. We show that the behavior can be explained using a combination of pseudo-steady-state linear and steady-state weakly nonlinear theories. The results obtained are in qualitative agreement with the analysis of experiments.

Relaxivity of Gd-based contrast agents on X nuclei with long intrinsic relaxation times in aqueous solutions.

The relaxivity of commercially available gadolinium (Gd)-based contrast agents was studied for X-nuclei resonances with long intrinsic relaxation times ranging from 6 s to several hundred seconds. Omniscan in pure 13C formic acid had a relaxivity of 2.9 mM(-1) s(-1), whereas its relaxivity on glutamate C1 and C5 in aqueous solution was approximately 0.5 mM(-1) s(-1). Both relaxivities allow the preparation of solutions with a predetermined short T1 and suggest that in vitro substantial sensitivity gains in their measurement can be achieved. 6Li has a long intrinsic relaxation time, on the order of several minutes, which was strongly affected by the contrast agents. Relaxivity ranged from approximately 0.1 mM(-1) s(-1) for Omniscan to 0.3 for Magnevist, whereas the relaxivity of Gd-DOTP was at 11 mM(-1) s(-1), which is two orders of magnitude higher. Overall, these experiments suggest that the presence of 0.1- to 10-microM contrast agents should be detectable, provided sufficient sensitivity is available, such as that afforded by hyperpolarization, recently introduced to in vivo imaging.

Genomic Study of RNA Polymerase II and III SNAP(c)-Bound Promoters Reveals a Gene Transcribed by Both Enzymes and a Broad Use of Common Activators.

SNAP(c) is one of a few basal transcription factors used by both RNA polymerase (pol) II and pol III. To define the set of active SNAP(c)-dependent promoters in human cells, we have localized genome-wide four SNAP(c) subunits, GTF2B (TFIIB), BRF2, pol II, and pol III. Among some seventy loci occupied by SNAP(c) and other factors, including pol II snRNA genes, pol III genes with type 3 promoters, and a few un-annotated loci, most are primarily occupied by either pol II and GTF2B, or pol III and BRF2. A notable exception is the RPPH1 gene, which is occupied by significant amounts of both polymerases. We show that the large majority of SNAP(c)-dependent promoters recruit POU2F1 and/or ZNF143 on their enhancer region, and a subset also recruits GABP, a factor newly implicated in SNAP(c)-dependent transcription. These activators associate with pol II and III promoters in G1 slightly before the polymerase, and ZNF143 is required for efficient transcription initiation complex assembly. The results characterize a set of genes with unique properties and establish that polymerase specificity is not absolute in vivo.

The biology of cancer stem cells : part 1: nuclear translocation of CD44 : part 2: IMP2 in glioblastoma cancer stem cells

SummaryCancer stem cells (CSC) are poorly differentiated, slowly proliferating cells, with high tumorigenic potential. Some of these cells, as it has been shown in leukemia, evade chemo- and radiotherapy and recapitulate the tumor composed of CSC and their highly proliferative progeny. Therefore, understanding the molecular biology of those cells is crucial for improvement of currently used anti-cancer therapies.This work is composed of two CSC-related projects. The first deals with CD44, a frequently used marker of CSC; the second involves Imp2 and its role in CSC bioenergetics. PART 1. CD44 is a multifunctional transmembrane protein involved in migration, homing, adhesion, proliferation and survival. It is overexpressed in many cancers and its levels are correlated with poor prognosis. CD44 is also highly expressed by CSC and in many malignancies it is used for CSC isolation.In the present work full-lenght CD44 nuclear localization was studied, including the mechanism of nuclear translocation and its functional role in the nucleus. Full-length CD44 can be found in nuclei of various cell types, regardless of their tumorigenic potential. For nuclear localization, CD44 needs to be first inserted into the cell membrane, from which it is transported via the endocytic pathway. Upon binding to transportinl it is translocated to the nucleus. The nuclear localization signal recognized by transportinl has been determined as the first 20 amino acids of the membrane proximal intracellular domain. Nuclear export of CD44 is facilitated by exportin Crml. Investigation of the function of nuclear CD44 revealed its implication in de novo RNA synthesis.PART 2. Glioblastoma multiforme is the most aggressive and most frequent brain malignancy. It was one of the first solid tumors from which CSC have been isolated. Based on the similarity between GBM CSC and normal stem cells expression of an oncofetal mRNA binding protein Imp2 has been investigated.Imp2 is absent in normal brain as well as in low grade gliomas, but is expressed in over 75% GBM cases and its expression is higher in CSC compared to their more differentiated counterparts. Analysis of mRNA transcripts bound by Imp2 and its protein interactors revealed that in GBM CSC Imp2 may be implicated in mitochondrial metabolism. Indeed, shRNA mediated silencing of protein expression led to decreased mitochondrial activity, decreased oxygen consumption and decreased activity of respiratory chain protein complex I. Moreover, lack of Imp2 severely affected self-renewal and tumorigenicity of GBM CSC. Experimental evidence suggest that GBM CSC depend on mitochondrial oxidative phosphorylation as an energy producing pathway and that Imp2 is a novel regulator of this pathway.RésuméLes cellules cancéreuses souches sont des cellules peu différentiées, à proliferation lente et hautement tumorigénique. Ces cellules sont radio-chimio résistantes et sont capable reformer la tumeur dans sont intégralité, reproduisant l'hétérogénéité cellulaire présent dans la tumeur d'origine. Pour améliorer les therapies antitumorales actuelles il est crucial de comprendre les mécanismes moléculaires qui caractérisent cette sous-population de cellules hautement malignes.Ce travail de thèse se compose de deux projets s'articulant autour du même axe :Le CD44 est une protéine multifonctionnelle et transmembranaire très souvent utilisée comme marqueur de cellules souches tumorales dans différents cancers. Elle est impliquée dans la migration, l'adhésion, la prolifération et la survie des cellules. Lors de ce travail de recherche, nous nous sommes intéressés à la localisation cellulaire du CD44, ainsi qu'aux mécanismes permettant sa translocation nucléaire. En effet, bien que principalement décrit comme un récepteur de surface transmembranaire, le CD44 sous sa forme entière, non clivée en peptides, peut également être observé à l'intérieur du noyau de diverses cellules, quel que soit leur potentiel tumorigénique. Pour passer ainsi d'un compartiment cellulaire à un autre, le CD44 doit d'abord être inséré dans la membrane plasmique, d'où il est transporté par endocytose jusqu'à l'intérieur du cytoplasme. La transportai permet ensuite la translocation nucléaire du CD44 via une « séquence signal » contenue dans les 20 acides aminés du domaine cytoplasmique qui bordent la membrane. A l'inverse, le CD44 est exporté du noyau grâce à l'exportin Crml. En plus des mécanismes décrits ci-dessus, cette étude a également mis en évidence l'implication du CD44 dans la synthèse des ARN, d'où sa présence dans le noyau.Le glioblastome est la plus maligne et la plus fréquente des tumeurs cérébrales. Dans ce second projet de recherche, le rôle de IMP2 dans les cellules souches tumorales de glioblastomes a été étudié. La présence de cette protéine oncofoetale a d'abord été mise en évidence dans 75% des cas les plus agressifs des gliomes (grade IV, appelés glioblastomes), tandis qu'elle n'est pas exprimée dans les grades I à III de ces tumeurs, ni dans le cerveau sain. De plus, IMP2 est apparue comme étant davantage exprimée dans les cellules souches tumorales que dans les cellules déjà différenciées. La baisse de l'expression de IMP2 au moyen de shRNA a résulté en une diminution de l'activité mitochondriale, en une réduction de la consommation d'oxygène ainsi qu'en une baisse de l'activité du complexe respiratoire I.L'inhibition de IMP2 a également affecté la capacité de renouvellement de la population des cellules souches tumorales ainsi que leur aptitude à former des tumeurs.Lors de ce travail de thèse, une nouvelle fonction d'un marqueur de cellules souches tumorales a été mise en évidence, ainsi qu'un lien important entre la bioénergétique de ces cellules et l'expression d'une protéine oncofoetale.

Immuno-electron microscopic identification of human estrogen receptor-DNA complexes at the estrogen-responsive element and in the first intron of a Xenopus vitellogenin gene.

Using an extract of nuclei from the estrogen-responsive human breast cancer cell line MCF-7, protein-DNA complexes were assembled in vitro at the 5' end of the Xenopus laevis vitellogenin gene B2 that is normally expressed in liver after estrogen induction. The complexes formed were analyzed by electron microscopy after labeling by the indirect colloidal gold immunological method using a monoclonal antibody specific for the human estrogen receptor. As identified by its interaction with protein A-gold, the antibody was found linked to two protein-DNA complexes, the first localized at the estrogen responsive element of the gene and the second in intron I, thus proving a direct participation of the receptor in these two complexes. The procedure used allows the visualization and rapid localization of specific transcription factors bound in vitro to a promoter or any other gene region.