The average crossing number of equilateral random polygons.

In this paper, we study the average crossing number of equilateral random walks and polygons. We show that the mean average crossing number ACN of all equilateral random walks of length n is of the form . A similar result holds for equilateral random polygons. These results are confirmed by our numerical studies. Furthermore, our numerical studies indicate that when random polygons of length n are divided into individual knot types, the for each knot type can be described by a function of the form where a, b and c are constants depending on and n0 is the minimal number of segments required to form . The profiles diverge from each other, with more complex knots showing higher than less complex knots. Moreover, the profiles intersect with the ACN profile of all closed walks. These points of intersection define the equilibrium length of , i.e., the chain length at which a statistical ensemble of configurations with given knot type -upon cutting, equilibration and reclosure to a new knot type -does not show a tendency to increase or decrease . This concept of equilibrium length seems to be universal, and applies also to other length-dependent observables for random knots, such as the mean radius of gyration Rg.

The average inter-crossing number of equilateral random walks and polygons

In this paper, we study the average inter-crossing number between two random walks and two random polygons in the three-dimensional space. The random walks and polygons in this paper are the so-called equilateral random walks and polygons in which each segment of the walk or polygon is of unit length. We show that the mean average inter-crossing number ICN between two equilateral random walks of the same length n is approximately linear in terms of n and we were able to determine the prefactor of the linear term, which is a = (3 In 2)/(8) approximate to 0.2599. In the case of two random polygons of length n, the mean average inter-crossing number ICN is also linear, but the prefactor of the linear term is different from that of the random walks. These approximations apply when the starting points of the random walks and polygons are of a distance p apart and p is small compared to n. We propose a fitting model that would capture the theoretical asymptotic behaviour of the mean average ICN for large values of p. Our simulation result shows that the model in fact works very well for the entire range of p. We also study the mean ICN between two equilateral random walks and polygons of different lengths. An interesting result is that even if one random walk (polygon) has a fixed length, the mean average ICN between the two random walks (polygons) would still approach infinity if the length of the other random walk (polygon) approached infinity. The data provided by our simulations match our theoretical predictions very well.

Are the Policy Preferences of Relatively Poor Citizens Under-represented in the Swiss Parliament?

The principle of equal political representation can be undermined by differences in economic resources among citizens. Poor citizens are likely to hold policy preferences that differ from those of richer citizens. At the same time, their lack of resources can have as a consequence that these preferences are not taken into consideration by their representatives. Focusing on the case of the Swiss Parliament and using survey data on the opinions of citizens and MPs in the 2007-2011 legislature, this study investigates whether the income of citizens systematically affects the proximity of their policy preferences with stances of their representatives. It demonstrates that on economic issues MPs hold preferences that are generally less in favour of the state's intervention in the economy than the median citizen and that relatively poor citizens are less well represented as compared to citizens with high incomes. This remains true when taking into account only the opinions of the most knowledgeable citizens among these groups as well as when the focus is only on those who turned out to vote.

New Early to Middle Triassic U-Pb ages from South China: Calibration with ammonoid biochronozones and implications for the timing of the Triassic biotic recovery

New zircon U-Pb ages are proposed for late Early and Middle Triassic volcanic ash layers from the Luolou and Baifeng formations (northwestern Guangxi, South China). These ages are based on analyses of single, thermally annealed and chemically abraded zircons. Calibration with ammonoid ages indicate a 250.6 +/- 0.5 Ma age for the early Spathian Tirolites/Columbites beds, a 248.1 +/- 0.4 Ma age for the late Spathian Neopopanoceras haugi Zone, a 246.9 +/- 0.4 Ma age for the early middle Anisian Acrochordiceras hyatti Zone, and a 244.6 +/- 0.5 Ma age for the late middle Anisian Balatonites shoshonensis Zone. The new dates and previously published U-Pb ages indicate a duration of ca. 3 my for the Spathian, and minimal durations of 4.5 +/- 0.6 my for the Early Triassic and of 6.6+0.7/-0.9 my for the Anisian. The new Spathian dates are in a better agreement with a 252.6 +/- 0.2 Ma age than with a 251.4 +/- 0.3 Ma age for the Permian-Triassic boundary. These dates also highlight the extremely uneven duration of the four Early Triassic substages (Griesbachian, Dienerian, Smithian, and Spathian), of which the Spathian exceeds half of the duration of the entire Early Triassic. The simplistic assumption of equal duration of the four Early Triassic subdivisions is no longer tenable for the reconstruction of recovery patterns following the end Permian mass extinction. (c) 2006 Elsevier B.V. All rights reserved.

Pharmacological treatment of heterotopic ossification following hip and acetabular surgery.

Heterotopic ossification is a common complication following total hip arthroplasty and surgery following acetabular trauma. It is associated with pain and a decreased range of movement. Prophylaxis is achieved by either non-steroidal anti-inflammatory drug treatment or localised irradiation therapy. The objective of this study was to evaluate the evidence for pharmacological agents used for the prophylaxis of heterotopic ossification following hip and acetabular surgery. The study used a comprehensive literature search to identify all major clinical studies investigating the pharmacological agents used in the prophylaxis of heterotopic ossification following hip and acetabular surgery. It was concluded that indometacin remains the 'gold standard' for heterotopic ossification prophylaxis following total hip arthroplasty and is the only drug proven to be effective against heterotopic ossification following acetabular surgery. Following total hip arthroplasty, other non-steroidal anti-inflammatory drugs, including naproxen and diclofenac, are equally as effective as indometacin and can be considered as alternative first-line treatments. Celecoxib is also of equal efficacy to indometacin and is associated with significantly fewer gastrointestinal side effects. However, serious concerns were raised over the safety of selective cyclooxygenase-2 inhibitors for the cardiovascular system and these should be used cautiously.

Simulations of electrophoretic collisions of DNA knots with gel obstacles

Gel electrophoresis can be used to separate nicked circular DNA molecules of equal length but forming different knot types. At low electric fields, complex knots drift faster than simpler knots. However, at high electric field the opposite is the case and simpler knots migrate faster than more complex knots. Using Monte Carlo simulations we investigate the reasons of this reversal of relative order of electrophoretic mobility of DNA molecules forming different knot types. We observe that at high electric fields the simulated knotted molecules tend to hang over the gel fibres and require passing over a substantial energy barrier to slip over the impeding gel fibre. At low electric field the interactions of drifting molecules with the gel fibres are weak and there are no significant energy barriers that oppose the detachment of knotted molecules from transverse gel fibres.

Numerical simulation of gel electrophoresis of DNA knots in weak and strong electric fields.

Gel electrophoresis allows one to separate knotted DNA (nicked circular) of equal length according to the knot type. At low electric fields, complex knots, being more compact, drift faster than simpler knots. Recent experiments have shown that the drift velocity dependence on the knot type is inverted when changing from low to high electric fields. We present a computer simulation on a lattice of a closed, knotted, charged DNA chain drifting in an external electric field in a topologically restricted medium. Using a Monte Carlo algorithm, the dependence of the electrophoretic migration of the DNA molecules on the knot type and on the electric field intensity is investigated. The results are in qualitative and quantitative agreement with electrophoretic experiments done under conditions of low and high electric fields.

Spatial and temporal regulation of " cdc16p " in the fission yeast " Schizosaccharomyces pombe "

Abstract: The fission yeast Schizosaccharomyces pombe has proven to be an excellent model system for the study of eukaryotic cell cycle control. S. pombe cells are rod-shaped and grow mainly by elongation at their tips. They divide by the means of a centrallyplaced division septum which provides two daughter cells of equal size. S. pombe cytokinesis begins at mitotic entry, when the division site is defined by formation of the contractile acto-myosin ring (CAR). Formation of the division septum is triggered at the end of mitosis by the spindle pole body (SPB) associated septation initiation network (SIN) proteins. SIN signalling requires activation of the GTPase spg1p, whose nucleotide status is regulated by the bipartite GAP byr4pcdc16p. Removal of cdc16p from the SPB during early mitosis is thought to allow priming of the SIN by association of cdc7p with both SPBs. During anaphase cdc7p is retained on the new SPB, which also recruits the kinase sid1 p and cdc14p, while the old SP8 reassembles the byr4-cdc16p GAP and is presumed not to signal; SPB asymmetry persists throughout anaphase. The trigger for inactivation of SIN signalling at the new SPB is unknown. This study has concentrated upon cdc16p. We have undertaken the analysis of the localisation of cdc16p using time-lapse microscopy. We have observed that the localisation of cdc16p is regulated at different transitions. We have shown that cdc16p is removed from the SPB prior to the onset of spindle formation and that it reappears asymmetrically at the beginning of anaphase B. We have also demonstrated that the resetting of the SIN at the new SPB is linked to completion of CAR contraction and septum formation. We propose the existence of a mechanism that monitors cytokinesis and that couples the activity of the SI N with the presence of the CAR. During the biochemical characterization of cdc16p, We have found that it is an unstable protein and that it is subjected to polyubiquitination by the SCF and proteasomal degradation. Together, these observations help to shed new light upon the mechanisms by which cytokinesis is regulated in S. pombe. Résumé: La levure Schizosaccharomyces pombe est un excellent organisme modèle pour l'étude du cycle cellulaire eucaryote. Les cellules S. pombe ont la forme de bâtonnets et croissent par l'allongement de leurs extrémités. Elles se divisent en formant, en leur milieu une paroi cellulaire, appelé septum, permettant ainsi l'obtention de deux cellules filles de même taille. Chez S. pombe, la cytokinèse commence en début de mitose lorsque le site de division est déterminé par la formation d'un anneau d'acto-myosine. Le septum, lui, est formé uniquement en fin de mitose par la contraction de l'anneau d'actomyosine. Cette contraction est sous le contrôle d'un réseau de signalisation cellulaire appelé le «réseau d'initiation de synthèse du septum » ou « septation initiation network » (SIN), qui se situe sur les pôles du fuseau mitotique. L'activation du SIN dépend d'une GTPase appelé spg1p dont le statut nucléotidique dépend des protéines cdclóp et byr4p qui forment un complexe qui favorise l'hydrolyse du GTP en GDP. En début de mitose, cdc16p ne se situe plus sur les poles du fuseau mitotique. La GTPase spg1p se retrouve donc principalement sous sa forme couplée au GTP, ce quí va permettre son interaction avec la kinase cdc7p. Cette protéine ainsi que deux autres kinases sid2p (avec mob1p) et sid1p (avec cdc14p) permettent la transmission du signal d'initiation de la contraction de l'anneau d'acto-myosine en fin d'anaphase. Pendant l'anaphase, cdc7p, sid1 p et cdc14p localisent sur un des deux pôles du fuseau mitotique. Il en est de même pour cdc1p et by14p et le pôle contenant cdc16p et byr4p est toujours différent de celui ou les régulateurs positifs du SIN se situent. En fin de cytokinèse, cdc16 et byr4p se retrouvent à nouveau sur chaque pôle des deux cellules filles. Dans cette étude, nous nous sommes concentrés sur l'analyse de la localisation de cdc16p pendant la mitose en utilisant une technique de microscopie en temps réel. Nous avons été en mesure de déterminer que le départ de cdc16p du pole s'effectue juste avant la formation du fuseau mitotique. Nous avons aussi découvert que la localisation asymétrique des composants du SIN dépend fortement de l'entrée en anaphase B. Finalement, Nous avons montré que distribution asymétrique des composants du SIN sur les pôles du fuseau mitotique dépendait aussi fortement de !a présence de l'anneau d'acto-myosine. Ceci nous permet donc de proposer l'existence d'un mécanisme cellulaire qui permet de s'assurer que la cytokinèse est achevée avant de diminuer la signalisation du SIN. Par ailleurs, des études biochimiques nous ont permis de montrer que cdc16p est dégradé par le proteosome. Ces travaux ont permis la découverte de nouveaux modes de régulation du SIN.

Connectome alterations in schizophrenia

Introduction : DTI has proven to be an exquisite biomarker of tissue microstructure integrity. This technique has been successfully applied to schizophrenia in showing that fractional anisotropy (FA, a marker of white matter integrity) is diminished in several areas of the brain (Kyriakopoulos M et al (2008)). New ways of representing diffusion data emerged recently and achieved to create structural connectivity maps in healthy brains (Hagmann P et al. (2008)). These maps have the capacity to study alterations over the entire brain at the connection and network level. This is of high interest in complex disconnection diseases like schizophrenia. We report on the specific network alterations of schizophrenic patients. Methods : 13 patients with chronic schizophrenia were recruited from in-patient, day treatment, out-patient clinics. Comparison subjects were recruited and group-matched to patients on age, sex, handedness, and parental social economic-status. This study was approved by the local IRB and subjects had to give informed written consent. They were scanned with a 3T clinical MRI scanner. DTI and high-resolution anatomical T1w imaging were performed during the same session. The path from diffusion MRI to a multi-resolution structural connection matrices of the entire brain is a five steps process that was performed in a similar way as described in Hagmann P et al. (2008). (1) DTI and T1w MRI of the brain, (2) segmentation of white and gray matter, (3) white matter tractography, (4) segmentation of the cortex into 242 ROIs of equal surface area covering the entire cortex (Fig 1), (5) the connection network was constructed by measuring for each ROI to ROI connection the related average FA along the corresponding tract. Results : For every connection between 2 ROIs of the network we tested the hypothesis H0: "average FA along fiber pathway is larger or equal in patients than in controls". H0 was rejected for connections where average FA in a connection was significantly lower in patients than in controls. Threshold p-value was 0.01 corrected for multiple comparisons with false discovery rate. We identified consistently that temporal, occipito-temporal, precuneo-temporal as well as frontal inferior and precuneo-cingulate connections were altered (Fig 2: significant connections in yellow). This is in agreement with the known literature, which showed across several studies that FA is diminished in several areas of the brain. More precisely, abnormalities were reported in the prefrontal and temporal white matter and to some extent also in the parietal and occipital regions. The alterations reported in the literature specifically included the corpus callosum, the arcuate fasciculus and the cingulum bundle, which was the case here as well. In addition small world indexes are significantly reduced in patients (p<0.01) (Fig. 3). Conclusions : Using connectome mapping to characterize differences in structural connectivity between healthy and diseased subjects we were able to show widespread connectional alterations in schizophrenia patients and systematic small worldness decrease, which is a marker of network desorganization. More generally, we described a method that has the capacity to sensitively identify structure alterations in complex disconnection syndromes where lesions are widespread throughout the connectional network.

Antiretroviral treatment during pregnancy.

OBJECTIVE: Virologic failure of HIV-positive patients is of special concern during pregnancy. We compared virologic failure and the frequency of treatment changes in pregnant and non-pregnant women of the Swiss HIV Cohort Study. METHODS: Using data on 372 pregnancies in 324 women we describe antiretroviral therapy during pregnancy. Pregnant women on HAART at conception (n = 131) were matched to 228 non-pregnant women (interindividual comparison) and to a time period of equal length before and after pregnancy (intraindividual comparison). Women starting HAART during pregnancy (n = 145) were compared with 578 non-pregnant women starting HAART. FINDINGS: The median age at conception was 31 years, 16% (n = 50) were infected through injecting drug use and the median CD4 cell count was 489 cells/microl. In the majority of pregnancies (n = 220, 59%), women had started ART before conception. When ART was started during pregnancy (n = 145, 39%), it was mainly during the second trimester (n = 100, 69%). Two thirds (n = 26) of 35 women starting in the third trimester were diagnosed with HIV during pregnancy. The risk of virologic failure tended to be lower in pregnant than in non-pregnant women [adjusted odds ratio 0.52 (95% confidence interval 0.25-1.09, P = 0.08)], but was similar in the intraindividual comparison (adjusted odds ratio 1.04, 95% confidence interval 0.48-2.28). Women starting HAART during pregnancy changed the treatment less often than non-pregnant women. CONCLUSION: Despite the physiological changes occurring during pregnancy, HIV infected pregnant women are not at higher risk of virologic failure.

Animal dispersal modelling: handling landscape features and related animal choices

Animal dispersal in a fragmented landscape depends on the complex interaction between landscape structure and animal behavior. To better understand how individuals disperse, it is important to explicitly represent the properties of organisms and the landscape in which they move. A common approach to modelling dispersal includes representing the landscape as a grid of equal sized cells and then simulating individual movement as a correlated random walk. This approach uses a priori scale of resolution, which limits the representation of all landscape features and how different dispersal abilities are modelled. We develop a vector-based landscape model coupled with an object-oriented model for animal dispersal. In this spatially explicit dispersal model, landscape features are defined based on their geographic and thematic properties and dispersal is modelled through consideration of an organism's behavior, movement rules and searching strategies (such as visual cues). We present the model's underlying concepts, its ability to adequately represent landscape features and provide simulation of dispersal according to different dispersal abilities. We demonstrate the potential of the model by simulating two virtual species in a real Swiss landscape. This illustrates the model's ability to simulate complex dispersal processes and provides information about dispersal such as colonization probability and spatial distribution of the organism's path.

Landscape structure affects dispersal in the greater white-toothed shrew: inference between genetic and simulated ecological distances

Animal dispersal in a fragmented landscape depends on the complex interaction between landscape structure and animal behavior. To better understand how individuals disperse, it is important to explicitly represent the properties of organisms and the landscape in which they move. A common approach to modelling dispersal includes representing the landscape as a grid of equal sized cells and then simulating individual movement as a correlated random walk. This approach uses a priori scale of resolution, which limits the representation of all landscape features and how different dispersal abilities are modelled. We develop a vector-based landscape model coupled with an object-oriented model for animal dispersal. In this spatially explicit dispersal model, landscape features are defined based on their geographic and thematic properties and dispersal is modelled through consideration of an organism's behavior, movement rules and searching strategies (such as visual cues). We present the model's underlying concepts, its ability to adequately represent landscape features and provide simulation of dispersal according to different dispersal abilities. We demonstrate the potential of the model by simulating two virtual species in a real Swiss landscape. This illustrates the model's ability to simulate complex dispersal processes and provides information about dispersal such as colonization probability and spatial distribution of the organism's path

Sibling relationships in Dutch and immigrant families

This study examines differences in sibling relationships among native Dutch and immigrant groups in the Netherlands. It uses a large national dataset to compare adult sibling relationships among Moroccan, Turkish, Caribbean and native Dutch groups, focusing on the varying importance of gender composition and age structure for the sibling relationship in the ethnic minority groups and the native Dutch families. Results show that, on average, ethnic minorities in the Netherlands have more involved sibling relationships in adulthood, with more contact, more emotional support, practical support (except Turks and Antilleans), a higher relationship quality, but also more conflict (among the Turks and Antilleans) compared to the Dutch. Gender constellation and hierarchical position were not of equal influence in all groups, although no clear patterns emerged.

Gender inequalities in the response to combination antiretroviral therapy over time: the Swiss HIV Cohort Study.

OBJECTIVES: Gender-specific data on the outcome of combination antiretroviral therapy (cART) are a subject of controversy. We aimed to compare treatment responses between genders in a setting of equal access to cART over a 14-year period. METHODS: Analyses included treatment-naïve participants in the Swiss HIV Cohort Study starting cART between 1998 and 2011 and were restricted to patients infected by heterosexual contacts or injecting drug use, excluding men who have sex with men. RESULTS: A total of 3925 patients (1984 men and 1941 women) were included in the analysis. Women were younger and had higher CD4 cell counts and lower HIV RNA at baseline than men. Women were less likely to achieve virological suppression < 50 HIV-1 RNA copies/mL at 1 year (75.2% versus 78.1% of men; P = 0.029) and at 2 years (77.5% versus 81.1%, respectively; P = 0.008), whereas no difference between sexes was observed at 5 years (81.3% versus 80.5%, respectively; P = 0.635). The probability of virological suppression increased in both genders over time (test for trend, P < 0.001). The median increase in CD4 cell count at 1, 2 and 5 years was generally higher in women during the whole study period, but it gradually improved over time in both sexes (P < 0.001). Women also were more likely to switch or stop treatment during the first year of cART, and stops were only partly driven by pregnancy. In multivariate analysis, after adjustment for sociodemographic factors, HIV-related factors, cART and calendar period, female gender was no longer associated with lower odds of virological suppression. CONCLUSIONS: Gender inequalities in the response to cART are mainly explained by the different prevalence of socioeconomic characteristics in women compared with men.