Predicting optimal lengths of random knots

In a thermally fluctuating long linear polymeric chain in a solution, the ends, from time to time, approach each other. At such an instance, the chain can be regarded as closed and thus will form a knot or rather a virtual knot. Several earlier studies of random knotting demonstrated that simpler knots show a higher occurrence for shorter random walks than do more complex knots. However, up to now there have been no rules that could be used to predict the optimal length of a random walk, i.e. the length for which a given knot reaches its highest occurrence. Using numerical simulations, we show here that a power law accurately describes the relation between the optimal lengths of random walks leading to the formation of different knots and the previously characterized lengths of ideal knots of a corresponding type.

Added prognostic value of myocardial blood flow quantitation in rubidium-82 positron emission tomography imaging

Les maladies cardiovasculaires restent la cause de mortalité la plus élevée dans le monde occidental. Il s'agit d'un processus long et complexe, dont l'infarctus du myocarde et la mort cardiaque ne sont que la fin d'un spectrum. La perfusion myocardique joue un rôle central dans l'évolution de la maladie et survient chronologiquement en amont de la dysfonction diastolique et systolique, ainsi que de l'infarctus du myocarde. Une meilleure compréhension de la Physiopathologie sous-jacente est cruciale dans le diagnostique et la prise en charge du patient. Dans ce sens, ce travail tente d'évaluer l'apport de l'évaluation de la perfusion myocardique évaluée par la tomographic à émission de positron (PET/CT) quant à la prédiction d'événements cardiovasculaires. De plus, l'apport de l'évaluation quantitative par rapport à l'évaluation qualitative a été démontré dans ce travail. Nous avons utilisé un radiotraceur unique au regard de ses caractéristiques. En effet, Le Rubidium-82 est un traceur qui ne nécessite pas d'un cyclotron pour sa fabrication, dès lors qu'il est produit par un générateur, rendant ainsi sa disponibilité un atout et un avantage potentiel lors de futurs implémentations à plus grande échelle. Ce travail démontre la supériorité de l'analyse de perfusion myocardique quantitative par rapport à l'analyse traditionnelle qualitative, ce qui n'était pas encore confirmé avec le Rubidium-82. Les résultats montrent une démarcation significative entre les différentes valeurs de perfusion quantitative/absolue, permettant de distinguer différentes populations plus ou moins à risque en terme de prédiction d'événements cardiaques futurs. Il est intéressant de noter que dans un modèle combinant l'analyse qualitative et quantitative proposé dans ce travail, l'inclusion des résultats les plus ischémiques obtenus par l'analyse qualitative avec les résultats de perfusion les plus bas en terme de flux myocardique absolu (analyse quantitative) démarque une population à très bas risque d'événements cardiovasculaires majeurs, une prédiction pouvant être observée surplus de 1'000 jours. Ces résultats forment un ajout significatif quant à l'évaluation de la perfusion myocardique par la médecine nucléaire, notamment par ce model intégratif proposé, lequel permet une prédiction précise et contributive dans le cadre de futurs événements cardiovasculaires majeurs.

Natural genetic variation of root system architecture from Arabidopsis to Brachypodium: towards adaptive value.

Root system architecture is a trait that displays considerable plasticity because of its sensitivity to environmental stimuli. Nevertheless, to a significant degree it is genetically constrained as suggested by surveys of its natural genetic variation. A few regulators of root system architecture have been isolated as quantitative trait loci through the natural variation approach in the dicotyledon model, Arabidopsis. This provides proof of principle that allelic variation for root system architecture traits exists, is genetically tractable, and might be exploited for crop breeding. Beyond Arabidopsis, Brachypodium could serve as both a credible and experimentally accessible model for root system architecture variation in monocotyledons, as suggested by first glimpses of the different root morphologies of Brachypodium accessions. Whether a direct knowledge transfer gained from molecular model system studies will work in practice remains unclear however, because of a lack of comprehensive understanding of root system physiology in the native context. For instance, apart from a few notable exceptions, the adaptive value of genetic variation in root system modulators is unknown. Future studies should thus aim at comprehensive characterization of the role of genetic players in root system architecture variation by taking into account the native environmental conditions, in particular soil characteristics.

Prognostic value of serial blood S100B determinations in stage IIB-III melanoma patients: a corollary study to EORTC trial 18952.

S100B is a prognostic factor for melanoma as elevated levels correlate with disease progression and poor outcome. We determined its prognostic value based on updated information using serial determinations in stage IIb/III melanoma patients. 211 Patients who participated in the EORTC 18952 trial, evaluating efficacy of adjuvant intermediate doses of interferon α2b (IFN) versus observation, entered a corollary study. Over a period of 36 months, 918 serum samples were collected. The Cox time-dependent model was used to assess prognostic value of the latest (most recent) S100B determination. At first measurement, 178 patients had S100B values <0.2 μg/l and 33 ≥ 0.2 μg/l. Within the first group, 61 patients had, later on, an increased value of S100B (≥ 0.2 μg/l). An initial increased value of S100B, or during follow-up, was associated with worse distant metastasis-free survival (DMFS); hazard ratio (HR) of S100B ≥ 0.2 versus S100B < 0.2 was 5.57 (95% confidence interval (CI) 3.81-8.16), P < 0.0001, after adjustment for stage, number of lymph nodes and sex. In stage IIb patients, the HR adjusted for sex was 2.14 (95% CI 0.71, 6.42), whereas in stage III, the HR adjusted for stage, number of lymph nodes and sex was 6.76 (95% CI 4.50-10.16). Similar results were observed regarding overall survival (OS). Serial determination of S100B in stage IIb-III melanoma is a strong independent prognostic marker, even stronger compared to stage and number of positive lymph nodes. The prognostic impact of S100B ≥ 0.2 μg/l is more pronounced in stage III disease compared with stage IIb.