Kinematic reduction of reaction-diffusion fronts with multiplicative noise. Derivation of stochastic sharp-interface equations

We study the dynamics of generic reaction-diffusion fronts, including pulses and chemical waves, in the presence of multiplicative noise. We discuss the connection between the reaction-diffusion Langevin-like field equations and the kinematic (eikonal) description in terms of a stochastic moving-boundary or sharp-interface approximation. We find that the effective noise is additive and we relate its strength to the noise parameters in the original field equations, to first order in noise strength, but including a partial resummation to all orders which captures the singular dependence on the microscopic cutoff associated with the spatial correlation of the noise. This dependence is essential for a quantitative and qualitative understanding of fluctuating fronts, affecting both scaling properties and nonuniversal quantities. Our results predict phenomena such as the shift of the transition point between the pushed and pulled regimes of front propagation, in terms of the noise parameters, and the corresponding transition to a non-Kardar-Parisi-Zhang universality class. We assess the quantitative validity of the results in several examples including equilibrium fluctuations and kinetic roughening. We also predict and observe a noise-induced pushed-pulled transition. The analytical predictions are successfully tested against rigorous results and show excellent agreement with numerical simulations of reaction-diffusion field equations with multiplicative noise.

Growth of unstable interfaces in disordered media

The effects of a disordered medium in the growth of unstable interfaces are studied by means of two local models with multiplicative and additive quenched disorder, respectively. For short times and large pushing the multiplicative quenched disorder is equivalent to a time-dependent noise. In this regime, the linear dispersion relation contains a destabilizing contribution introduced by the noise. For long times, the interface always gets pinned. We model the systematics of the pinned shapes by means of an effective nonlinear model. These results show good agreement with numerical simulations. For the additive noise we find numerically that a depinning transition occurs.

Dynamical scaling of imbibition in columnar geometries

compatible with the usual nonlocal model governed by surface tension that results from a macroscopic description. To explore this discrepancy, we exhaustively analyze numerical integrations of a phase-field model with dichotomic columnar disorder. We find that two distinct behaviors are possible depending on the capillary contrast between the two values of disorder. In a high-contrast case, where interface evolution is mainly dominated by the disorder, an inherent anomalous scaling is always observed. Moreover, in agreement with experimental work, the interface motion has to be described through a local model. On the other hand, in a lower-contrast case, the interface is dominated by interfacial tension and can be well modeled by a nonlocal model. We have studied both spontaneous and forced-flow imbibition situations, giving a complete set of scaling exponents in each case, as well as a comparison to the experimental results.

Pressure-dependent scaling scenarios in experiments of spontaneous imbibition

The scaling properties of the rough liquid-air interface formed in the spontaneous imbibition of a viscous liquid by a model porous medium are found to be very sensitive to the magnitude of the pressure difference applied at the liquid inlet. Interface fluctuations change from obeying intrinsic anomalous scaling at large negative pressure differences, to being super-rough with the same dynamic exponent z¿3 at less negative pressure differences, to finally obeying ordinary Family-Vicsek scaling with z¿2 at large positive pressure differences. This rich scenario reflects the relative importance on different length scales of capillary and permeability disorder, and the role of surface tension and viscous pressure in damping interface fluctuations.

Universality in models for disorder induced phase transitions

We have systematically analyzed six different reticular models with quenched disorder and no thermal fluctuations exhibiting a field-driven first-order phase transition. We have studied the nonequilibrium transition, appearing when varying the amount of disorder, characterized by the change from a discontinuous hysteresis cycle (with one or more large avalanches) to a smooth one (with only tiny avalanches). We have computed critical exponents using finite size scaling techniques and shown that they are consistent with universal values depending only on the space dimensionality d.

Interface dynamics in Hele-Shaw flows with centrifugal forces. Preventing cusp singularities with rotation

A class of exact solutions of Hele-Shaw flows without surface tension in a rotating cell is reported. We show that the interplay between injection and rotation modifies the scenario of formation of finite-time cusp singularities. For a subclass of solutions, we show that, for any given initial condition, there exists a critical rotation rate above which cusp formation is suppressed. We also find an exact sufficient condition to avoid cusps simultaneously for all initial conditions within the above subclass.

Fluctuations in Saffman-Taylor fingers with quenched disorder

We make an experimental characterization of the effect that static disorder has on the shape of a normal Saffman-Taylor finger. We find that static noise induces a small amplitude and long wavelength instability on the sides of the finger. Fluctuations on the finger sides have a dominant wavelength, indicating that the system acts as a selective amplifier of static noise. The dominant wavelength does not seem to be very sensitive to the intensity of static noise present in the system. On the other hand, at a given flow rate, rms fluctuations of the finger width, decrease with decreasing intensity of static noise. This might explain why the sides of the fingers are flat for typical Saffman-Taylor experiments. Comparison with previous numerical studies of the effect that temporal noise has on the Saffman-Taylor finger, leads to conclude that the effect of temporal noise and static noise are similar. The behavior of fluctuations of the finger width found in our experiments, is qualitatively similar to one recently reported, in the sense that, the magnitude of the width fluctuations decays as a power law of the capillary number, at low flow rates, and increases with capillary number for larger flow rates.

Understanding Van Gogh's Night: bipolar disorder

Vincent Van Gogh (1853-1890) imparted in his art a deep essence of life, and in such a unique way that many would say it is possible to experience it vicariously by looking at his paintings even once. In 10 years, while exerting mental and physical efforts that may well have contributed to his premature death, he produced an impressive number of masterpieces. However, the specific neurological disorder Van Gogh suffered and how this may have influenced his art is still not clear. The combination of his eccentric personality, irascible temper, unstable moods and prolific creativity, makes the understanding of his illness a very complex endeavor and therefore poses a great challenge to those who investigate the relationships between the 'artistic mind', the brain and illness. In fact, most of the diagnoses (nearly 30) proposed for Van Gogh, during the last century, are not based on medical evidence but are ascertainable from analyses of his paintings and biographical data. Although no definitive diagnosis can be made based on such evidence, we conclude that according to DSM-IV criteria and findings extrapolated from his letters, Van Gogh is most likely to have suffered a bipolar disorder, affective or schizoaffective, which caused his death by suicide.

Congenital disorder of glycosylation type Id (CDG Id) : phenotypic, biochemical and molecular characterization of a new patient

Rapport de synthèseLes troubles de la glycosylation (Congenital Disorders of Glycosylation, CDG) regroupent une famille de maladies multi-systémiques héréditaires causées par des défauts dans la synthèse de glycoconjugés. La glycosylation est une réaction enzymatique consistant à lier de façon covalente un glucide à une chaîne peptidique ou une protéine. Il existe deux types de glycosylation. La N-gjycosylation est l'addition de glucides aux chaînes peptidiques en croissance dès leur entrée dans la lumière du réticulum endoplasmique. Elle s'effectue sur les futures glycoprotéines membranaires et conduit à des chaînes de sucres courtes et ramifiées. La O-glycosylation est l'addition de glucides au niveau des résidus hydroxylés des acides aminés sérine et thréonine des chaînes peptidiques déjà présentes dans la lumière de l'appareil de Golgi. Elle est, dans la plupart des cas, effectuée sur îes protéoglycanes et conduit à des chaînes de sucres longues et non ramifiées. La classification des CDG repose sur le niveau de l'étape limitante de la glycosylation. Les CDG de type 1, plus fréquents, regroupent les déficits enzymatiques se situant en amont du transfert de Poligosaccharide sur la chaîne peptidique. Les CDG de type 2 regroupent ceux ayant lieu en aval de ce transfert. Parmi les nombreux différents sous-types de CDG, le CDG de type ld est causé par une anomalie de la mannosyltransferase, enzyme codée par le gène ALG3 (chromosome 3q27). Jusqu'à ce jour, six patients atteints de CDG ld ont été reportés dans la littérature. Notre travail a permis de décrire un septième patient et d'affiner les caractéristiques cliniques, biologiques, neuroradiologiques et moléculaires du CDG ld. Notre patient est notamment porteur d'une nouvelle mutation de type missense sur le gène ALG3. Tous les patients atteints de CDG ld présentent une encéphalopathie progressive avec microcéphalie, retard psychomoteur sévère et épilepsie. Une ostéopénie marquée est présente chez certains patients. Elle est parfois sous diagnostiquée et révélée uniquement lors de fracture pathologique. Les patients atteints de CDG ld présentent également des traits dysmorphiques typiques, mais aucune atteinte multi-systémique ou anomalie biologique spécifique n'est retrouvée telle que dans les autres types de CDG. Le dépistage biochimique des troubles de la glycosylation se fait par une analyse simple et peu coûteuse qui est l'analyse de la transferrine sérique par isoelectrofocusing ou par électrophorèse capillaire. Un tel dépistage devrait être effectué chez tout patient présentant une encéphalopathie d'origine indéterminée, et cela même en l'absence d'atteinte multi- systémique. Notre travail a été publié sous forme d'article de type « short report », peer-reviewed, dans le Journal of Inherited Metabolic Diseases. Le Journal est une révue spécialisée du domaine des erreirs innées du métabolisme. S'agissant d'un seul patient rapporté, l'article ne montre que très synthétiquement le travail effectué, Pour cette raison un complément à l'article avec matériel, méthodes et résultats figure ci-après et concerne la partie de recherche moléculaire de notre travail. La doctorante a non seulement encadré personnellement le patient au niveau clinique et biochimique, mais a plus particulièrement mis au point l'analyse moléculaire du gène ALG3 dans le laboratoire de Pédiatrie Moléculaire pour la première fois ; cela a impliqué l'étude du gène, le choix des oligonucleotides et l'optimisation des réactions d'amplification et séquençage.

Protein-binding microarrays: probing disease markers at the interface of proteomics and genomics.

DNA-binding proteins mediate a variety of crucial molecular functions, such as transcriptional regulation and chromosome maintenance, replication and repair, which in turn control cell division and differentiation. The roles of these proteins in disease are currently being investigated using microarray-based approaches. However, these assays can be difficult to adapt to routine diagnosis of complex diseases such as cancer. Here, we review promising alternative approaches involving protein-binding microarrays (PBMs) that probe the interaction of proteins from crude cell or tissue extracts with large collections of synthetic or natural DNA sequences. Recent studies have demonstrated the use of these novel PBM approaches to provide rapid and unbiased characterization of DNA-binding proteins as molecular markers of disease, for example cancer progression or infectious diseases.

On the determination of the interface density of states in a-Si:H/a-SiC:H multilayers

This paper deals with the determination of the interface density of states in amorphous silicon-based multilayers. Photothermal deflection spectroscopy is used to characterize two series of aSi:H/aSi1-xCx:H multilayers, and a new approach in the treatment of experimental dada is used in order to obtain accurate results. From this approach, an upper limit of 10^10 cm-2 is determined for the interface density of states.

Magneto-optical Kerr effect in laser-patterned La2/3Sr1/3MnO3 epitaxial thin films

In this study, we have performed magneto-optical Kerr effect (MOKE) measurement on epitaxial La2/3Sr1/3MnO3 thin films containing artificial interfaces created by laser-patterning the SrTiO3 substrate. The observed increase of the resistivity and of the high-field magnetoresistance when measuring the films across the interface arrays are related to the reduction of the magnetization of the interfaces with respect to the rest of the film. As observed by the local MOKE probe, the structural disorder in the manganite film induced by the underlying patterned substrate leads to a large spin disorder responsible for a strong high-field susceptibility of the resistance.