Confinement of discrete breathers in inhomogeneously profiled nonlinear chains

We investigate numerically the scattering of a moving discrete breather on a pair of junctions in a Fermi-Pasta-Ulam chain. These junctions delimit an extended region with different masses of the particles. We consider (i) a rectangular trap, (ii) a wedge shaped trap, and (iii) a smoothly varying convex or concave mass profile. All three cases lead to DB confinement, with the ease of trapping depending on the profile of the trap. We also study the collision and trapping of two DBs within the profile as a function of trap width, shape, and approach time at the two junctions. The latter controls whether one or both DBs are trapped.

Antibiotic-induced modifications of the stiffness of bacterial membranes.

In the latest years the importance of high resolution analysis of the microbial cell surface has been increasingly recognized. Indeed, in order to better understand bacterial physiology and achieve rapid diagnostic and treatment techniques, a thorough investigation of the surface modifications induced on bacteria by different environmental conditions or drugs is essential. Several instruments are nowadays available to observe at high resolution specific properties of microscopic samples. Among these, AFM can routinely study single cells in physiological conditions, measuring the mechanical properties of their membrane at a nanometric scale (force volume). Such analyses, coupled with high resolution investigation of their morphological properties, are increasingly used to characterize the state of single cells. In this work we exploit such technique to characterize bacterial systems. We have performed an analysis of the mechanical properties of bacteria (Escherichia coli) exposed to different conditions. Such measurements were performed on living bacteria, by changing in real-time the liquid environment: standard phosphate buffered saline, antibiotic (ampicillin) in PBS and growth medium. In particular we have focused on the determination of the membrane stiffness modifications induced by these solutions, in particular between stationary and replicating phases and what is the effect of the antibiotic on the bacterial structure.

From lattice-gas models to nonlinear diffusion models: A derivation of macroscopic equations and fluctuations

We derive nonlinear diffusion equations and equations containing corrections due to fluctuations for a coarse-grained concentration field. To deal with diffusion coefficients with an explicit dependence on the concentration values, we generalize the Van Kampen method of expansion of the master equation to field variables. We apply these results to the derivation of equations of phase-separation dynamics and interfacial growth instabilities.

Dynamics of driven three-dimensional thin films: from hdrophilic to superhydrophobic substrates

We study the forced displacement of a thin film of fluid in contact with vertical and inclined substrates of different wetting properties, that range from hydrophilic to hydrophobic, using the lattice-Boltzmann method. We study the stability and pattern formation of the contact line in the hydrophilic and superhydrophobic regimes, which correspond to wedge-shaped and nose-shaped fronts, respectively. We find that contact lines are considerably more stable for hydrophilic substrates and small inclination angles. The qualitative behavior of the front in the linear regime remains independent of the wetting properties of the substrate as a single dispersion relation describes the stability of both wedges and noses. Nonlinear patterns show a clear dependence on wetting properties and substrate inclination angle. The effect is quantified in terms of the pattern growth rate, which vanishes for the sawtooth pattern and is finite for the finger pattern. Sawtooth shaped patterns are observed for hydrophilic substrates and low inclination angles, while finger-shaped patterns arise for hydrophobic substrates and large inclination angles. Finger dynamics show a transient in which neighboring fingers interact, followed by a steady state where each finger grows independently.

Nonlinear relaxation time and the detection of weak signals

Laser systems can be used to detect very weak optical signals. The physical mechanism is the dynamical process of the relaxation of a laser from an unstable state to a steady stable state. We present an analysis of this process based on the study of the nonlinear relaxation time. Our analytical results are compared with numerical integration of the stochastic differential equations that model this process.

Phosphorus extracted by ion exchange resins and mehlich-1 from oxisols (latosols) treated with different phosphorus rates and sources for varied soil-source contact periods

Despite the large number of studies addressing the quantification of phosphorus (P) availability by different extraction methods, many questions remain unanswered. The aim of this paper was to compare the effectiveness of the extractors Mehlich-1, Anionic Resin (AR) and Mixed Resin (MR), to determine the availability of P under different experimental conditions. The laboratory study was arranged in randomized blocks in a [(3 x 3 x 2) + 3] x 4 factorial design, with four replications, testing the response of three soils with different texture: a very clayey Red Latosol (LV), a sandy clay loam Red Yellow Latosol (LVA), and a sandy loam Yellow Latosol (LA), to three sources (triple superphosphate, reactive phosphate rock from Gafsa-Tunisia; and natural phosphate from Araxá-Minas Gerais) at two P rates (75 and 150 mg dm-3), plus three control treatments (each soil without P application) after four contact periods (15, 30, 60, and 120 days) of the P sources with soil. The soil acidity of LV and LVA was adjusted by raising base saturation to 60 % with the application of CaCO3 and MgCO3 at a 4:1 molar ratio (LA required no correction). These samples were maintained at field moisture capacity for 30 days. After the contact periods, the samples were collected to quantify the available P concentrations by the three extractants. In general, all three indicated that the available P-content in soils was reduced after longer contact periods with the P sources. Of the three sources, this reduction was most pronounced for triple superphosphate, intermediate for reactive phosphate, while Araxá phosphate was least sensitive to the effect of time. It was observed that AR extracted lower P levels from all three soils when the sources were phosphate rocks, while MR extracted values close to Mehlich-1 in LV (clay) and LVA (medium texture) for reactive phosphate. For Araxá phosphate, much higher P values were determined by Mehlich-1 than by the resins, because of the acidity of the extractor. For triple superphosphate, both resins extracted higher P levels than Mehlich-1, due to the consumption of this extractor, particularly when used for LV and LVA.

Major impact of body position on arterial stiffness indices derived from radial applanation tonometry in pregnant and non pregnant woman

Pendant la grossesse, la pression artérielle reste stable malgré une nette augmentation du volume d'éjection systolique et du débit cardiaque. Cette stabilité vient d'un côté d'une vasodilatation périphérique entraînant une diminution des résistances périphériques et d'un autre côté d'une moindre rigidité des principales artères notamment l'aorte. En conséquence, l'amplitude des ondes de pouls est atténuée, de même que leur vitesse de propagation dans le sens tant antérogade que rétrograde (ondes réfléchies). Les ondes réfléchies tendent ainsi à atteindre l'aorte ascendante plus tard durant la systole, voire durant la diastole, ce qui peut contribuer à diminuer la pression puisée. La prééclampsie perturbe massivement ce processus d'adaptation. Il s'agit d'une maladie hypertensive de la grossesse engendrant une importante morbidité et mortalité néonatale et maternelle. Il est à remarquer que la diminution de la rigidité artérielle n'est pas observée chez les patientes atteintes avec pour conséquence une forte augmentation de la pression systolique centrale (aortique) par les ondes réfléchies. Ce fait a été établi grâce à l'existence de la tonométrie d'aplanation, une méthode permettant l'évaluation non invasive de l'onde de pouls centrale. Dans cette méthode, un senseur de pression piézo-électrique permet de capter l'onde de pouls périphérique, le plus souvent sur l'artère radiale. Par la suite, un algorithme validé permet d'en déduire la forme de l'onde de pouls centrale et de visualiser à quel moment du cycle cardiaque s'y ajoutent les ondes réfléchies. Plusieurs études font état d'une forte augmentation de la pression systolique centrale par les ondes réfléchies chez les patientes atteintes de prééclampsie, suggérant l'utilisation de cette méthode pour le diagnostic et le monitoring voire pour le dépistage de ces patientes. Pour atteindre ce but, il est nécessaire d'établir des normes en rapport notamment avec l'âge gestationnel. Dans la littérature, les données pertinentes actuellement disponibles sont variables, voire contradictoires. Par exemple, les ondes réfléchies proéminentes dans la partie diastolique de l'onde de pouls centrale disparaissaient chez des patientes enceintes au 3eme trimestre comparées à des contrôles non enceintes dans une étude lausannoise, alors que deux autres études présentent l'observation contraire. Autre exemple, certains auteurs décrivent une diminution progressive de l'augmentation systolique jusqu'à l'accouchement alors que d'autres rapportent un nadir aux environs du 6ème mois, suivi d'un retour à des valeurs plus élevées en fin de grossesse. Les mesures effectuées dans toutes ces études différaient dans leur exécution, les patientes étant notamment dans des postions corporelles différentes (couchées, semi-couchées, assises, en décubitus latéral). Or nous savons que le status hémodynamique est très sensible aux changements de position, particulièrement durant la grossesse où l'utérus gravide est susceptible d'avoir des interactions mécaniques avec les veines et possiblement les artères abdominales. Ces différences méthodologiques pourraient donc expliquer, au moins en partie, l'hétérogénéité des résultats concernant l'onde de pouls chez la femme enceinte, ce qui à notre connaissance n'a jamais été exploré. Nous avons mesuré l'onde de pouls dans les positions assise et couchée chez des femmes enceintes, au 3eme trimestre d'une grossesse non compliquée, et nous avons effectué une comparaison avec des données similaire obtenues chez des femmes non enceintes en bonne santé habituelle. Les résultats montrent que la position du corps a un impact majeur sur la forme de l'onde de pouls centrale. Comparée à la position assise, la position couchée se caractérise par une moindre augmentation systolique et, par contraste, une augmentation diastolique plus marquée. De manière inattendue, cet effet s'observe aussi bien en présence qu'en l'absence de grossesse, suggérant que la cause première n'en réside pas dans les interactions mécaniques de l'utérus gravide avec les vaisseaux sanguins abdominaux. Nos observations pourraient par contre être expliquées par l'influence de la position du corps, via un phénomène hydrostatique simple, sur la pression transmurale des artères éloignées du coeur, tout particulièrement celles des membres inférieurs et de l'étage abdominal. En position verticale, ces vaisseaux augmenteraient leur rigidité pour résister à la distension de leur paroi, ce qui y accroîtrait la vitesse de propagation des ondes de pression. En l'état, cette explication reste hypothétique. Mais quoi qu'il en soit, nos résultats expliquent certaines discordances entre les études conduites à ce jour pour caractériser l'influence de la grossesse physiologique sur la forme de l'onde de pouls central. De plus, ils indiquent que la position du corps doit être prise en compte lors de toute investigation utilisant la tonométrie d'applanation pour déterminer la rigidité des artères chez les jeunes femmes enceintes ou non. Il sera aussi nécessaire d'en tenir compte pour établir des normes en vue d'une utilisation de la tonométrie d'aplanation pour dépister ou suivre les patientes atteintes de prééclampsie. Il serait enfin intéressant d'évaluer si l'effet de la position sur la forme de l'onde de pouls central existe également dans l'autre sexe et chez des personnes plus âgées.

Endocavitary contact radiation therapy for ultrasonographically staged T1 N0 and T2 N0 rectal cancer.

BACKGROUND: The purpose of this study was to determine the long-term outcomes of patients undergoing endocavitary contact radiation therapy (ECR) for stage I rectal cancer. METHODS: A database of patients treated with ECR for biopsy-proven rectal adenocarcinoma from July 1986 to June 2006 was reviewed retrospectively. Only patients with primary, non-metastatic, ultrasonographically staged T1 N0 and T2 N0 cancer who had no adjuvant treatment were included. Patients received a median of 90 (range 60-190) Gy contact radiation, delivered transanally by a 50-kV X-ray tube in two to five fractions. RESULTS: Of 149 patients, 77 (40 T1, 37 T2) met the inclusion criteria. Median age was 74 (range 38-104) years, and median follow-up 69 (range 10-219) months. ECR failed in 21 patients (27 per cent) (persistent disease, four; recurrence, 17), of whom ten remained disease free after salvage therapy. The estimated 5-year disease-free survival rate was 74 (95 per cent confidence interval 63 to 83) per cent after ECR alone, and 87 (76 to 93) per cent when survival after salvage therapy for recurrence was included. CONCLUSION: ECR is a minimally invasive treatment option for early-stage rectal cancer. However, similar to other local therapies, ECR has a worse oncological outcome than radical surgery.

Changes in leg spring behaviour, plantar loading and foot mobility magnitude induced by an exhaustive treadmill run in adolescent middle-distance runners.

OBJECTIVES: This study aimed to determine adjustments in spring-mass model characteristics, plantar loading and foot mobility induced by an exhaustive run. DESIGN: Within-participants repeated measures. METHODS: Eleven highly-trained adolescent middle-distance runners ran to exhaustion on a treadmill at a constant velocity corresponding to 95% of velocity associated with VO₂max (17.8 ± 1.4 kmh(-1), time to exhaustion=8.8 ± 3.4 min). Contact time obtained from plantar pressure sensors was used to estimate spring-mass model characteristics, which were recorded (during 30 s) 1 min after the start and prior to exhaustion using pressure insoles. Foot mobility magnitude (a composite measure of vertical and medial-lateral mobility of the midfoot) was measured before and after the run. RESULTS: Mean contact area (foot to ground), contact time, peak vertical ground reaction force, centre of mass vertical displacement and leg compression increased significantly with fatigue, while flight time, leg stiffness and mean pressure decreased. Leg stiffness decreased because leg compression increased to a larger extent than peak vertical ground reaction forces. Step length, step frequency and foot mobility magnitude did not change at exhaustion. CONCLUSIONS: The stride pattern of adolescents when running on a treadmill at high constant velocity deteriorates near exhaustion, as evidenced by impaired leg-spring behaviour (leg stiffness) and altered plantar loading.

Nonlinear filtering in object and Fourier space in a joint transform optical correlator: comparison and experimental realization

The use of different kinds of nonlinear filtering in a joint transform correlator are studied and compared. The study is divided into two parts, one corresponding to object space and the second to the Fourier domain of the joint power spectrum. In the first part, phase and inverse filters are computed; their inverse Fourier transforms are also computed, thereby becoming the reference in the object space. In the Fourier space, the binarization of the power spectrum is realized and compared with a new procedure for removing the spatial envelope. All cases are simulated and experimentally implemented by a compact joint transform correlator.

Habitat selection in zones of parapatric contact between the Common shrew Sorex araneus and Millet's shrew S. coronatus

(1) The common shrew Sorex araneus and Millet's shrew S. coronatus are sibling species.They are morphologically and genetically very similar but do not hybridize. Their parapatric distribution throughout south-western Europe, with a few narrow zones of distributional overlap, suggests that they are in competitive parapatry. (2) Two of these contact zones were studied; there was evidence of coexistence over periods of 2 years as well as habitat segregation. In both zones, the species segregated on litter thickness and humidity variables. (3) A simple analysis of spatial distribution showed that habitats visible in the field corresponded to the habitats selected by the species. Habitat selection was found throughout the annual life-cycle of the shrews. (4) In one contact zone, a removal experiment was performed to test whether habitat segregation is induced by interspecific interactions. The experiment showed that the species select habitats differentially when both are present and abandon habitat selection when their competitor is removed. (5) These results confirm the role of resource partitioning in promoting narrow rangesof distributional overlap between such parapatric species and qualitatively support the prediction of habitat selection theory that, in a two-species system, coexistence may be achieved by differential habitat selection to avoid competition. The results also support the view that the common shrew and Millet's shrew are in competitive parapatry.