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.

Truncated robust distance for clinical laboratory safety data monitoring and assessment.

Laboratory safety data are routinely collected in clinical studies for safety monitoring and assessment. We have developed a truncated robust multivariate outlier detection method for identifying subjects with clinically relevant abnormal laboratory measurements. The proposed method can be applied to historical clinical data to establish a multivariate decision boundary that can then be used for future clinical trial laboratory safety data monitoring and assessment. Simulations demonstrate that the proposed method has the ability to detect relevant outliers while automatically excluding irrelevant outliers. Two examples from actual clinical studies are used to illustrate the use of this method for identifying clinically relevant outliers.

Sex differences in the computation of traveling distance

Path integration is known to provide information to keep track of spatial location. Surprisingly, few investigations concerning sex differences in computation of the traveling distance have been done. This work was aimed at analyzing the reproduction of both passive and active linear displacements in women and men. To this end, the displacement of blindfolded subjects was done in a wheelchair, then on foot, three times in each condition for a fixed distance. Copies of passive and active traveling distance, distance estimations and pointing responses towards the starting point were analyzed. In passive condition and comparatively to men, women error was larger. Whereas traveling distance was generally underestimated in women, it was overestimated in men. In active condition, no sex differences were observed. When blindfolded subjects have to estimate the traveling distance, the female error was larger than the male one. But, when subjects were asked to indicate the visual cue corresponding to the traveling distance, the male error was larger than the female one. Finally, pointing to the starting point (0°) after a whole-body rotation showed a larger deviation from 0° in men than in women. These results suggest that sex of the subjects influence brain computation of path integration information.

Optimal robust estimates using the Hellinger distance

Optimal robust M-estimates of a multidimensional parameter are described using Hampel's infinitesimal approach. The optimal estimates are derived by minimizing a measure of efficiency under the model, subject to a bounded measure of infinitesimal robustness. To this purpose we define measures of efficiency and infinitesimal sensitivity based on the Hellinger distance.We show that these two measures coincide with similar ones defined by Yohai using the Kullback-Leibler divergence, and therefore the corresponding optimal estimates coincide too.We also give an example where we fit a negative binomial distribution to a real dataset of "days of stay in hospital" using the optimal robust estimates.

Phenotypic novelty in experimental hybrids is predicted by the genetic distance between species of cichlid fish.

BACKGROUND: Transgressive segregation describes the occurrence of novel phenotypes in hybrids with extreme trait values not observed in either parental species. A previously experimentally untested prediction is that the amount of transgression increases with the genetic distance between hybridizing species. This follows from QTL studies suggesting that transgression is most commonly due to complementary gene action or epistasis, which become more frequent at larger genetic distances. This is because the number of QTLs fixed for alleles with opposing signs in different species should increase with time since speciation provided that speciation is not driven by disruptive selection. We measured the amount of transgression occurring in hybrids of cichlid fish bred from species pairs with gradually increasing genetic distances and varying phenotypic similarity. Transgression in multi-trait shape phenotypes was quantified using landmark-based geometric morphometric methods. RESULTS: We found that genetic distance explained 52% and 78% of the variation in transgression frequency in F1 and F2 hybrids, respectively. Confirming theoretical predictions, transgression when measured in F2 hybrids, increased linearly with genetic distance between hybridizing species. Phenotypic similarity of species on the other hand was not related to the amount of transgression. CONCLUSION: The commonness and ease with which novel phenotypes are produced in cichlid hybrids between unrelated species has important implications for the interaction of hybridization with adaptation and speciation. Hybridization may generate new genotypes with adaptive potential that did not reside as standing genetic variation in either parental population, potentially enhancing a population's responsiveness to selection. Our results make it conceivable that hybridization contributed to the rapid rates of phenotypic evolution in the large and rapid adaptive radiations of haplochromine cichlids.

Bénéfices de l'utilisation d'un test VIH rapide à la permanence PMU-FLON [Benefits of using rapid HIV testing at the PMU-FLON walk-in clinic in Lausanne].

Lab tests are frequently used in primary care to guide patient care. This is particularly the case when a severe disorder, or one that will affect patients' initial care, needs to be excluded rapidly. At the PMU-FLON walk-in clinic the use of HIV testing as recommended by the Swiss Office of Public Health was hampered by the delay in obtaining test results. This led us to introduce rapid HIV testing which provides results within 30 minutes. Following the first 250 tests the authors discuss the results as well as the benefits of rapid HIV testing in an urban walk-in clinic.

Proximal tibia volumetric bone mineral density is correlated to the magnitude of local acceleration in male long distance runners.

Introduction: The beneficial effect of physical exercise on bone mineral density (BMD) is at least partly explained by the forces exerted directly on the bones. Male runners present generally higher BMD than sedentary individuals. We postulated that the proximal tibia BMD is related to the running distance as well as to the magnitude of the shocks (while running) in male runners. Methods: A prospective study (three yearly measurements) included 81 healthy male subjects: 16 sedentary lean subjects and three groups of runners (5-30 km/week, n=19; 30-50 km/week, n=29; 50-100 km/week, n=17). Several measurements were performed at the proximal tibia level: volumetric BMD (vBMD), cortical index (CI) i.e. an index of cortical bone thickness and peak accelerations (an index of shocks during heel strike) while running (measured by a 3-D accelerometer). A general linear model assessed the prediction of vBMD or CI by a) simple effects (running distance, peak accelerations, time) and b) interactions (for instance if vBMD prediction by peak acceleration depends on running distance). Results: CI and vBMD a) increase with running distance to reach a plateau over 30 km/wk, b) are positively associated with peak accelerations over 30 km/week. Discussion: Running may be associated with high peak accelerations in order to have beneficial effects on BMD. More important strains are needed to be associated with the same increase in BMD during running sessions of short duration than those of long duration. Conclusion: CI and vBMD are associated with the magnitude of the shocks during heel strike in runners. Key words: Bone mineral density, strains, physical exercise, running distance.

Long-distance wound signalling in arabidopsis

The leaves of all plants use elaborate and inducible defence systems to protect themselves. A wide variety of such defences are known and they include defence chemicals such as alkaloids, phenolics and terpenes, physical structures ranging from fibre cells to silica deposits, and a wide variety of defence proteins many of which target digestive processes in herbivores. It has long been known that the defence responses of plants under attack by insects are not restricted to the site of attack. Instead, if a leaf is damaged, defence can be triggered in other parts of the plant body, for example in distal leaves or even in roots and flowers. This raises the question of what are the organ-to-organ signals that coordinate this process. Several hypotheses have been proposed. These include the long-distance transfer of chemical signals through the plant vasculature, hydraulic signals that may transit through the xylem, and electrical signals that would move through living tissues such as the phloem. Much evidence for each of these scenarios has been published. In this thesis we took advantage of the fact that many plant defence responses are regulated by a signal transduction pathway based on a molecule called jasmonic acid. We used this molecule, one of its derivatives (jasmonoyl-isoleucine), and some of the genes it regulates as markers. Using these we investigated the possible role of the electrical signals in the leaf- to-leaf activation of the jasmonate pathway. We found that feeding insects stimulate easily detected electrical activity in the leaves of Arabidopsis thaliana and we used non-invasive surface electrodes to record this activity. This approach showed that jasmonate pathway activity and the electrical activity provoked by mechanical wounding occurred within identical spatial boundaries. Measurements of the apparent speed of surface potentials agreed well with previous velocity estimates for the speed of leaf-to-leaf signals that activate the jasmonate pathway. Using this knowledge we were able to investigate the effects of current injection into Arabidopsis leaves. This resulted in the strong expression of many jasmonate-regulated genes. All these results showed that electrical activity and the activation of jasmonate signalling were highly correlated. In order to test for possible causal links between the two processes, we conducted a small-scale reverse genetic screen on a series of T-DNA insertion mutants in ion channel genes and in other genes encoding proteins such as proton pumps. This screen, which was based on surface potential measurements, revealed that mutations in genes related to ionotropic glutamate receptors in animals had impaired electrical activity after wounding. Combining mutation of two of these glutamate-receptor-like genes in a double mutant reduced the response of leaves to current injection. When a leaf of this double mutant was wounded it failed to transmit a long-distance signal to a distal leaf. This result distinguished the double mutant from the wild-type plant and provides the first genetic evidence that electrical signalling is necessary to coordinate defence responses between organs in plants. - Les feuilles des plantes disposent de systèmes de défense inductibles très élaborés. Un grand nombre de ces systèmes de défenses sont connus et sont basés sur des composés chimiques comme les alcaloïdes, les composés phénoliques ou les terpènes, des systèmes physiques allant de la production de cellules fibreuses aux cristaux de silice ainsi qu'un grand nombre de protéines de défense ciblant le processus digestif des herbivores. Il est connu dépuis longtemps que la réponse défensive de la plante face à l'attaque pas un insecte n'est pas seulement localisée au niveau de la zone d'attaque. A la place, si une feuille est attaquée, les systèmes de défense peuvent être activés ailleurs dans la plante, comme par exemple dans d'autres feuilles, les racines ou même les fleurs. Ces observations soulèvent la question de la nature des signaux d'organes à organes qui régulent ces systèmes. Plusieurs hypothèses ont été formulées; une ou plusieures molécules pourraient être véhiculées dans la plante grâce au système vasculaire, un signal hydraulique transmis au travers du xylème ou encore des signaux électriques transmis par les cellules comme dans le phloème par exemple. De nombreuses études ont été publiées sur ces différentes hypothèses. Dans ce travail de thèse, nous avons choisi d'utiliser à notre avantage le fait que de nombreuses réponses de défense de la plante sont régulées par une même voie de signalisation utilisant l'acide jasmonique. Nous avons utilisé comme marqueurs cette molécule, un de ses dérivés (le jasmonoyl-isoleucine) ainsi que certains des gènes que l'acide jasmonique régule. Nous avons alors testé l'implication de la transmission de signaux électriques dans l'activation de la voie du jasmonate de feuille à feuille. Nous avons découvert que les insectes qui se nourrissent de feuilles d'Arabidopsis thaliana activent un signal électrique que nous avons pu mesurer grâce à une technique non invasive d'électrodes de surface. Les enregistrements ont montré que la génération de signaux électriques et l'activation de la voie du jasmonate avaient lieu aux mêmes endroits. La mesure de la vitesse de déplacement des impulsions électriques correspond aux estimations faites concernant l'activation de la voie du jasmonate. Grâce à cela, nous avons pu tester l'effet d'injection de courant électrique dans les feuilles d'Arabidopsis. La conséquence a été une forte expression de nombreux gènes de la voie du jasmonate, suggérant une forte corrélation entre l'activité électrique et l'activation de la voie du jasmonate. Afin de tester le lien de cause entre ces deux phénomènes, nous avons entrepris un criblage génétique sur une série de mutants d'insertion à l'ADN-T dans des gènes de canaux ioniques et d'autres gènes d'intérêt comme les gènes des pompes à protons. Ce criblage, basé sur la mesure de potentiels de surface, a permis de montrer que plusieurs mutations de gènes liés aux récepteurs au glutamate ionotropique présentent une baisse drastique de leurs activités électriques après une blessure mécanique des feuilles par rapport au type sauvage. Par la combinaison de deux mutations de ces récepteurs au glutamate en un double mutant, on obtient une réponse à la stimulation électrique encore plus faible. Quand une feuille du double mutant est blessée, elle est incapable de transmettre un signal à longue distance vers une feuille éloignée. Ce résultat permet de distinguer le double mutant de la plante sauvage et amène la première preuve génétique que l'activité électrique est nécessaire pour coordonner les réponses de défense entre les organes chez les plantes.

Self-potential investigations of a gravel bar in a restored river corridor

Self-potentials (SP) are sensitive to water fluxes and concentration gradients in both saturated and unsaturated geological media, but quantitative interpretations of SP field data may often be hindered by the superposition of different source contributions and time-varying electrode potentials. Self-potential mapping and close to two months of SP monitoring on a gravel bar were performed to investigate the origins of SP signals at a restored river section of the Thur River in northeastern Switzerland. The SP mapping and subsequent inversion of the data indicate that the SP sources are mainly located in the upper few meters in regions of soil cover rather than bare gravel. Wavelet analyses of the time-series indicate a strong, but non-linear influence of water table and water content variations, as well as rainfall intensity on the recorded SP signals. Modeling of the SP response with respect to an increase in the water table elevation and precipitation indicate that the distribution of soil properties in the vadose zone has a very strong influence. We conclude that the observed SP responses on the gravel bar are more complicated than previously proposed semi-empiric relationships between SP signals and hydraulic head or the thickness of the vadose zone. We suggest that future SP monitoring in restored river corridors should either focus on quantifying vadose zone processes by installing vertical profiles of closely spaced SP electrodes or by installing the electrodes within the river to avoid signals arising from vadose zone processes and time-varying electrochemical conditions in the vicinity of the electrodes.

The Swiss registry for pulmonary arterial hypertension: the paediatric experience.

Pulmonary arterial hypertension is a rare disease with a poor prognosis. Epidemiological data are scarce, particularly in the paediatric population. A registry was recently developed in order to collect epidemiological data on patients with pulmonary arterial hypertension (PAH) in Switzerland. This is the first description of the paediatric data. Paediatric patients aged 0-18 years with the diagnosis of PAH were enrolled in the registry from 1999 to 2005 with informed consent from their parents. Patient characteristics, PAH aetiology, functional capacity, exercise capacity, treatments and outcome were among the most important data collected. A total of 23 patients (12 male, 11 female) have been thus far included in the registry. Median age at time of diagnosis was 3 years (range 1 month-18 years) and median follow-up was 3.47 years (range 1 day-12.6 years). PAH aetiologies are diagnosed as idiopathic in 8/23 patients (34.8%) and associated with congenital heart diseases in 12/23 (52.2%) or with pulmonary diseases in 3/23 patients (13.0%). Death occurred in 1 patient before treatment was initiated. Single treatments include medications with a calcium channel blocker in 2/23 patients, with bosentan in 10/23, and with inhaled iloprost in 1/23. Combined therapies include bosentan and inhaled iloprost in 7/23 patients, bosentan and sildenafil in 2/23 patients, and bosentan, sildenafil and inhaled iloprost in 2/23 patients. Additional oral anticoagulation is given to 14/23 patients and 8/23 patients are on oxygen therapy. NYHA class at baseline visit was obtained in 22/23 patients (4 NYHA 2, 17 NYHA 3 and 1 NYHA 4). Changes in NYHA class were observed over a 2-year period in 3/22 patients who improved from NYHA 3 to NYHA 2. Initial improvement of 6-minute walk distance was observed in 6/13 patients with a sustained improvement in 4. These preliminary results provide information on the epidemiology of PAH in children in Switzerland and demonstrate that most paediatric patients show stabilisation of the disease under new treatments. This underscores the utility of registries for rare diseases in providing crucial information in the era of new therapies. It may also help to improve the future medical approach.

Oxygen uptake kinetics and middle distance swimming performance.

OBJECTIVE: The aim of this study was to determine whether V˙O(2) kinetics and specifically, the time constant of transitions from rest to heavy (τ(p)H) and severe (τ(p)S) exercise intensities, are related to middle distance swimming performance. DESIGN: Fourteen highly trained male swimmers (mean ± SD: 20.5 ± 3.0 yr; 75.4 ± 12.4 kg; 1.80 ± 0.07 m) performed an discontinuous incremental test, as well as square wave transitions for heavy and severe swimming intensities, to determine V˙O(2) kinetics parameters using two exponential functions. METHODS: All the tests involved front-crawl swimming with breath-by-breath analysis using the Aquatrainer swimming snorkel. Endurance performance was recorded as the time taken to complete a 400 m freestyle swim within an official competition (T400), one month from the date of the other tests. RESULTS: T400 (Mean ± SD) (251.4 ± 12.4 s) was significantly correlated with τ(p)H (15.8 ± 4.8s; r=0.62; p=0.02) and τ(p)S (15.8 ± 4.7s; r=0.61; p=0.02). The best single predictor of 400 m freestyle time, out of the variables that were assessed, was the velocity at V˙O(2max)vV˙O(2max), which accounted for 80% of the variation in performance between swimmers. However, τ(p)H and V˙O(2max) were also found to influence the prediction of T400 when they were included in a regression model that involved respiratory parameters only. CONCLUSIONS: Faster kinetics during the primary phase of the V˙O(2) response is associated with better performance during middle-distance swimming. However, vV˙O(2max) appears to be a better predictor of T400.

When Preference Is Not Satisfied but the Individual Is: How Power Distance Affects Person-Job Fit

One aspect of person-job fit reflects congruence between personal preferences and job design; as congruence increases so should satisfaction. We hypothesized that power distance would moderate whether fit is related to satisfaction with degree of job formalization. We obtained measures of job-formalization, fit and satisfaction, as well as organizational commitment from employees (n = 772) in a multinational firm with subsidiaries in six countries. Confirming previous findings, individuals from low power-distance cultures were most satisfied with increasing fit. However, the extent to which individuals from high power-distance cultures were satisfied did not necessarily depend on increasing fit, but mostly on whether the degree of formalization received was congruent to cultural norms. Irrespective of culture, satisfaction with formalization predicted a broad measure of organizational commitment. Apart from our novel extension of fit theory, we show how moderation can be tested in the context of polynomial response surface regression and how specific hypotheses can be tested regarding different points on the response surface.

Four 13-lipoxygenases contribute to rapid jasmonate synthesis in wounded Arabidopsis thaliana leaves: a role for lipoxygenase 6 in responses to long-distance wound signals.

Damage-inducible defenses in plants are controlled in part by jasmonates, fatty acid-derived regulators that start to accumulate within 30 s of wounding a leaf. Using liquid chromatography-tandem mass spectrometry, we sought to identify the 13-lipoxygenases (13-LOXs) that initiate wound-induced jasmonate synthesis within a 190-s timeframe in Arabidopsis thaliana in 19 single, double, triple and quadruple mutant combinations derived from the four 13-LOX genes in this plant. All four 13-LOXs were found to contribute to jasmonate synthesis in wounded leaves: among them LOX6 showed a unique behavior. The relative contribution of LOX6 to jasmonate synthesis increased with distance from a leaf tip wound, and LOX6 was the only 13-LOX necessary for the initiation of early jasmonate synthesis in leaves distal to the wounded leaf. Herbivory assays that compared Spodoptera littoralis feeding on the lox2-1 lox3B lox4A lox6A quadruple mutant and the lox2-1 lox3B lox4A triple mutant revealed a role for LOX6 in defense of the shoot apical meristem. Consistent with this, we found that LOX6 promoter activity was strong in the apical region of rosettes. The LOX6 promoter was active in and near developing xylem cells and in expression domains we term subtrichomal mounds.