Generic super-exponential stability of invariant tori in Hamiltonian systems

In this article, we consider solutions starting close to some linearly stable invariant tori in an analytic Hamiltonian system and we prove results of stability for a super-exponentially long interval of time, under generic conditions. The proof combines classical Birkhoff normal forms and a new method to obtain generic Nekhoroshev estimates developed by the author and L. Niederman in another paper. We will mainly focus on the neighbourhood of elliptic fixed points, the other cases being completely similar.

Impaired skin wound healing in peroxisome proliferator-activated receptor (PPAR)alpha and PPARbeta mutant mice.

We show here that the alpha, beta, and gamma isotypes of peroxisome proliferator-activated receptor (PPAR) are expressed in the mouse epidermis during fetal development and that they disappear progressively from the interfollicular epithelium after birth. Interestingly, PPARalpha and beta expression is reactivated in the adult epidermis after various stimuli, resulting in keratinocyte proliferation and differentiation such as tetradecanoylphorbol acetate topical application, hair plucking, or skin wound healing. Using PPARalpha, beta, and gamma mutant mice, we demonstrate that PPARalpha and beta are important for the rapid epithelialization of a skin wound and that each of them plays a specific role in this process. PPARalpha is mainly involved in the early inflammation phase of the healing, whereas PPARbeta is implicated in the control of keratinocyte proliferation. In addition and very interestingly, PPARbeta mutant primary keratinocytes show impaired adhesion and migration properties. Thus, the findings presented here reveal unpredicted roles for PPARalpha and beta in adult mouse epidermal repair.

Stability analysis of the 2007 Chehalis lake landslide based on long-range terrestrial photogrammetry and airborne LIDAR data

On December 4th 2007, a 3-Mm3 landslide occurred along the northwestern shore of Chehalis Lake. The initiation zone is located at the intersection of the main valley slope and the northern sidewall of a prominent gully. The slope failure caused a displacement wave that ran up to 38 m on the opposite shore of the lake. The landslide is temporally associated with a rain-on-snow meteorological event which is thought to have triggered it. This paper describes the Chehalis Lake landslide and presents a comparison of discontinuity orientation datasets obtained using three techniques: field measurements, terrestrial photogrammetric 3D models and an airborne LiDAR digital elevation model to describe the orientation and characteristics of the five discontinuity sets present. The discontinuity orientation data are used to perform kinematic, surface wedge limit equilibrium and three-dimensional distinct element analyses. The kinematic and surface wedge analyses suggest that the location of the slope failure (intersection of the valley slope and a gully wall) has facilitated the development of the unstable rock mass which initiated as a planar sliding failure. Results from the three-dimensional distinct element analyses suggest that the presence, orientation and high persistence of a discontinuity set dipping obliquely to the slope were critical to the development of the landslide and led to a failure mechanism dominated by planar sliding. The three-dimensional distinct element modelling also suggests that the presence of a steeply dipping discontinuity set striking perpendicular to the slope and associated with a fault exerted a significant control on the volume and extent of the failed rock mass but not on the overall stability of the slope.

Fibrin sealant for mesh fixation in endoscopic inguinal hernia repair: is there enough evidence for its routine use?

Fibrin sealing has recently evolved as a new technique for mesh fixation in endoscopic inguinal hernia repair. A comprehensive Medline search was carried out evaluating fibrin sealant for mesh fixation, and finally 12 studies were included (3 randomized trials, 3 nonrandomized trials, and 6 case series). The trials were assessed for operative time, seroma formation, recovery time, recurrence rate, and acute and chronic pain.There was a trend toward decreased operative times for fibrin sealing compared with mechanical stapling; however, the results for seroma formation remained contradictory. The most important finding was the reduced postoperative pain. Recovery times were lower after fibrin sealing and the recurrence rates showed no differences.Fibrin sealing for mesh fixation in the endoscopic inguinal hernia surgery is a promising alternative to mechanical stapling, which can be safely applied. As the overall quality of published data remains poor, further well-designed studies are needed until fibrin sealing can replace mechanical stapling as a new standard for mesh fixation.

Dimensionality of drinking consequences - cross-cultural comparability and stability over time

Despite the long tradition for asking about the negative social and health consequences of alcohol consumption in surveys, little is known about the dimensionality of these consequences. Analysing cross-sectional and longitudinal data from the Nordic Taxation Study collected for Sweden, Finland, and Denmark in two waves in 2003 and 2004 by means of an explorative principal component analysis for categorical data (CATPCA), it is tested whether consequences have a single underlying dimension across cultures. It further tests the reliability, replicability, concurrent and predictive validity of the consequence scales. A one-dimensional solution was commonly preferable. Whereas the two-dimensional solution was unable to distinguish clearly between different concepts of consequences, the one-dimensional solution resulted in interpretable, generally very stable scales within countries across different samples and time.

Involvement of PPARβ/δ in mesenchymal-epidermal interactions during skin wound healing

SUMMARY : Skin wound repair is a complex and highly coordinated process, where a variety of cell types unite to regenerate the damaged tissue. Several works have elucidated cellular and molecular mechanisms, in which mesenchymal-epidermal interactions play an essential role for the regulation of skin homeostasis and repair. Peroxisome Proliferator-Activated Receptors (PPARs) are ligand-activated transcription factors that belong to the nuclear receptor superfamily. Three related isotypes (PPARα, PPARß/δ and PPARγ) have been found, which exhibit distinct tissue distribution and specific physiological functions. PPARß/δ was identified as a crucial player of skin homeostasis. In the mouse skin, PPARß/δ has been described to control proliferation-differentiation state, adhesion and migration, and survival of the keratinocytes during healing. PPARß/δ has been implicated as well in the development of the hair follicles, in which mesenchymal-secreted hepatocyte growth factor (HGF) is involved. These data suggest that the biological activity of PPARß/δ is modulated by mesenchymal-epidermal interactions and that, in turn, PPARß/δ also modulates some of these signals. The aim of the present work was to elucidate the nature of the signals exchanged between the epidermis and dermis compartments, and more particularly those which are under the control of PPARß/δ. In the first part of the study, we showed that PPARß/8 in dermal fibroblasts down-regulates the mitotic activity of keratinocytes by inhibiting the IL-1 signalling pathway via the production of secreted IL-1 receptor antagonist (sIL-1Ra), a natural antagonist of this signalling. The regulation of IL-1 signalling by PPARß/δ is required for anon-pathological skin wound repair. These findings provide evidence for a novel homeostatic control of keratinocyte proliferation and differentiation mediated by the regulation of IL-1 signalling via dermal PPARß/δ fibroblasts. Proteolysis of the extracellular matrix (ECM) is a key process involved in wound repair and modifications in its activity are often associated with an alteration óf the wound closure. This process implies specific proteinases, as matrix metalloproteinases (MMPs), which are finely modulated by IL-1 signalling. In line with the first results, the second part of the work showed that MMP8 and MMP13, which are two important collagenases involved in mouse skin wound repair, are regulated by PPARß/δ. Their expression is indirectly down-regulated by dermal PPARß/δ, via the production of sIL-1Ra, resulting in the inhibition of IL-1 signalling, known to regulate the expression of numerous MMPs. We suggest that, in absence of PPARß/δ, the positive regulation of these two collagenases could participate to the delay of skin wound healing, which has been observed in mice deleted for PPARßlS. The potential therapeutic role of PPARß/b could be as well extending to inflammatory and hyperproliferative skin diseases involving IL-1 signalling, such as psoriasis or skin cancers. Quite interestingly, MMP1 (analogue of mouse MMP13) plays an essential role in human photoaging, suggesting that PPARß/δ could as well be an attractive target for photoprotection. RESUME : La cicatrisation est un processus complexe et extrêmement organisé, impliquant un grand nombre de cellules qui s'unissent pour régénérer le tissu endommagé. De nombreux travaux nous ont éclairés sur les mécanismes cellulaires et moléculaires, dans lesquels les interactions épidermo-mésenchymateuses détiennent un rôle capital à la fois dans la régulation de l'homéostasie et dans la réparation de la peau. PPAR (Peroxisome proliferatar-activated receptor), qui appartient à la superfamille des récepteurs nucléaires, se définit comme un facteur de transcription activé par des ligands très spécifiques. Trois isotypes (PPARa, PPARß/δ et PPARy) ont été décrits et sont caractérisés par une distribution tissulaire et des fonctions physiologiques clairement définies. PPARß/δ a été identifié comme étant un important acteur dans l'homéostasie de la peau. Chez la souris, il a été décrit comme contrôlant l'état de prolifération et de différenciation, le processus d'adhésion et de migration, ainsi que la survie des kératinocytes au cours de la cicatrisation. PPARßIS a également été défini comme contrôlant le développement des follicules pileux, impliquant la sécrétion par le mésenchyme du facteur de croissance HGF. Ces données suggèrent que l'activité biologique de PPARß/δ est modulée par des interactions épidermo-mésenchymateuses, et qu'en retour, il possède la capacité de moduler certains de ces signaux. L`objectif de ce travail a été d'élucider la nature des signaux échangés entre les compartiments épidermique et dermique, et plus particulièrement ceux qui sont sous le contrôle de PPARß/δ. Dans la première partie de l'étude, nous avons montré que les fibroblastes exprimant PPARß/δ réduisent l'activité mitotique des kératinocytes en inhibant la voie de signalisation IL-1, via la production de sIL-1Ra (secreted IL-1 receptor antagonist), défini comme un antagoniste naturel de cette voie de signalisation. La régulation de cette dernière par PPARß/δ est donc nécessaire pour une cicatrisation de type non pathologique. Ces résultats offrent donc une nouvelle preuve du contrôle de l'homéostasie et de l'état de prolifération/différenciation des kératinocytes par les fibroblastes exprimant PPARß/δ, en régulant la voie de signalisation IL-1. Le mécanisme de dégradation de la matrice extracellulaire (MEC) est une étape essentielle lors du processus de cicatrisation. Ainsi des modifications de cette activité protéolytïque sont souvent associées à une altération de la fermeture de la plaie. Ce processus implique des protéinases, comme les MMPs, qui sont finement modulés par la voie de signalisation IL-1. En accord avec les premiers résultats, la seconde partie des nos travaux a montré que les collagénases MMP8 et MMP13, connues pour être d'importantes molécules impliquées lors de la réparation tissulaire chez la souris, sont modulées par l'activité de PPARß/δ. Leurs expressions sont indirectement régulées par PPARß/δ, via la production. de sIL-1 Ra, entraînant ainsi l'inhibition de la voie de signalisation IL-1, décrite pour réguler l'expression de nombreuses MMPs, Nous suggérons donc qu'en absence de PPARß/δ, la régulation de ces deux collagénases pourrait être impliquée dans le retard de cicatrisation, observé chez les souris déficientes pour PPARß/δ. L'activité biologique de PPARß/δ pourrait être ainsi étendue à des maladies hyperproliferatives et inflammatoires de la peau, impliquant la voie de signalisation IL-1, comme le psoriasis ou certains cancers de la peau, et ce à des fins thérapeutiques. Il est aussi intéressant de relever que chez l'homme, MMP1 (présenté comme l'analogue de MMP13 de la souris} joue un rôle primordial dans le photo-vieillissement, nous suggérons donc que PPARß/δ pourrait ainsi être une cible attrayante concernant la photoprotection.

Stability and change in party preferences.

This article analyses stability and volatility of party preferences using data from the Swiss Household-Panel (SHP), which, for the first time, allow studying transitions and stability of voters over several years in Switzerland. Analyses cover the years 1999- 2007 and systematically distinguish changes between party blocks and changes within party blocks. The first part looks at different patterns of change, which show relatively high volatility. The second part tests several theories on causes of such changes applying a multinomial random-effects model. Results show that party preferences stabilise with their duration and with age and that the electoral cycle, political sophistication, socio-structural predispositions, the household-context as well as party size and the number of parties each explain part of electoral volatility. Different results for withinand between party-block changes underlie the importance of that differentiation.

Tibial or hip BMD predict clinical fracture risk equally well: results from a prospective study in 700 elderly Swiss women.

SUMMARY: In a randomly selected cohort of Swiss community-dwelling elderly women prospectively followed up for 2.8 +/- 0.6 years, clinical fractures were assessed twice yearly. Bone mineral density (BMD) measured at tibial diaphysis (T-DIA) and tibial epiphysis (T-EPI) using dual-energy X-ray absorptiometry (DXA) was shown to be a valid alternative to lumbar spine or hip BMD in predicting fractures. INTRODUCTION: A study was carried out to determine whether BMD measurement at the distal tibia sites of T-EPI and T-DIA is predictive of clinical fracture risk. METHODS: In a predefined representative cohort of Swiss community-dwelling elderly women aged 70-80 years included in the prospective, multi-centre Swiss Evaluation of the Methods of Measurement of Osteoporotic Fracture risk (SEMOF) study, fracture risk profile was assessed and BMD measured at the lumbar spine (LS), hip (HIP) and tibia (T-DIA and T-EPI) using DXA. Thereafter, clinical fractures were reported in a bi-yearly questionnaire. RESULTS: During 1,786 women-years of follow-up, 68 clinical fragility fractures occurred in 61 women. Older age and previous fracture were identified as risk factors for the present fractures. A decrease of 1 standard deviation in BMD values yielded a 1.5-fold (HIP) to 1.8-fold (T-EPI) significant increase in clinical fragility fracture hazard ratio (adjusted for age and previous fracture). All measured sites had comparable performance for fracture prediction (area under the curve range from 0.63 [LS] to 0.68 [T-EPI]). CONCLUSION: Fracture risk prediction with BMD measurements at T-DIA and T-EPI is a valid alternative to BMD measurements at LS or HIP for patients in whom these sites cannot be accessed for clinical, technical or practical reasons.

Evolutionary and convergence stability for continuous phenotypes in finite populations derived from two-allele models.

The evolution of a quantitative phenotype is often envisioned as a trait substitution sequence where mutant alleles repeatedly replace resident ones. In infinite populations, the invasion fitness of a mutant in this two-allele representation of the evolutionary process is used to characterize features about long-term phenotypic evolution, such as singular points, convergence stability (established from first-order effects of selection), branching points, and evolutionary stability (established from second-order effects of selection). Here, we try to characterize long-term phenotypic evolution in finite populations from this two-allele representation of the evolutionary process. We construct a stochastic model describing evolutionary dynamics at non-rare mutant allele frequency. We then derive stability conditions based on stationary average mutant frequencies in the presence of vanishing mutation rates. We find that the second-order stability condition obtained from second-order effects of selection is identical to convergence stability. Thus, in two-allele systems in finite populations, convergence stability is enough to characterize long-term evolution under the trait substitution sequence assumption. We perform individual-based simulations to confirm our analytic results.