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.

Metabolic equivalent: one size does not fit all.

The metabolic equivalent (MET) is a widely used physiological concept that represents a simple procedure for expressing energy cost of physical activities as multiples of resting metabolic rate (RMR). The value equating 1 MET (3.5 ml O2 x kg(-1) x min(-1) or 1 kcal x kg(-1) x h(-1)) was first derived from the resting O2 consumption (VO2) of one person, a 70-kg, 40-yr-old man. Given the extensive use of MET levels to quantify physical activity level or work output, we investigated the adequacy of this scientific convention. Subjects consisted of 642 women and 127 men, 18-74 yr of age, 35-186 kg in weight, who were weight stable and healthy, albeit obese in some cases. RMR was measured by indirect calorimetry using a ventilated hood system, and the energy cost of walking on a treadmill at 5.6 km/h was measured in a subsample of 49 men and 49 women (26-45 kg/m2; 29-47 yr). Average VO2 and energy cost corresponding with rest (2.6 +/- 0.4 ml O2 x kg(-1) x min(-1) and 0.84 +/- 0.16 kcal x kg(-1) x h(-1), respectively) were significantly lower than the commonly accepted 1-MET values of 3.5 ml O2 x kg(-1) x min(-1) and 1 kcal x kg(-1) x h(-1), respectively. Body composition (fat mass and fat-free mass) accounted for 62% of the variance in resting VO2 compared with age, which accounted for only 14%. For a large heterogeneous sample, the 1-MET value of 3.5 ml O2 x kg(-1) x min(-1) overestimates the actual resting VO2 value on average by 35%, and the 1-MET of 1 kcal/h overestimates resting energy expenditure by 20%. Using measured or predicted RMR (ml O2 x kg(-1) x min(-1) or kcal x kg(-1) x h(-1)) as a correction factor can appropriately adjust for individual differences when estimating the energy cost of moderate intensity walking (5.6 km/h).

Ex-vivo ultrasound control of resection margins during partial nephrectomy

Introduction: Surgery represents the treatment of choice for localized renal cell neoplasia. Partial nephrectomy (PN) has widened its indications over the past two decades and has shown oncological results equivalent to radical nephrectomy for small tumors. The role of negative surgical margins has been widely debated. Intraoperative fresh frozen section analysis is shown to be unreliable, expensive, time-consuming and not well correlated to final pathology. The goal of the present study was to assess the feasibility of intraoperative ex-vivo ultrasound (US) control of resection margins and its correlation to margin status at definitive pathology in patients undergoing PN.Material and Methods: The study was carried out in our institution from February 2008 to March 2010. Patients undergoing PN for T1-T2 renal tumors were included. Ex vivo US was performed by one single senior radiologist. Considering its availability, not all consecutive eligible patients were included. PN was undertaken in a standardized technique applying the "minimal healthy tissue margin" technique. Once resected, the specimen was kept in a saline solution and ex-vivo US was performed to evaluate the whole tumor pseudocapsule.Results: Twelve patients (five women, age (mean}SD) 65}11 years) were included. Intraoperative ex-vivo US showed negative surgical margin in all cases. US duration ranged from 1 to 4 minutes, with a median time of 1 minute. Definitive histological analysis confirmed the presence of two angiomyolipoma, eight pT1a tumors, of which seven were clear cell carcinoma and one was a type II papillary tumor, one pT1b clear cell carcinoma and one pT2 chromophobe carcinoma (size 2.9}2.3 cm). Final pathology revealed R0 margins.Conclusion: Intraoperative ex-vivo US control of resection margins in patients undergoing PN is feasible, time-efficient and well correlated to definitive pathological examination with regards to margin status.

Non-random fertilization in mice correlates with the MHC and something else

One evolutionary explanation for the success of sexual reproduction assumes that sex is an advantage in the coevolutionary arms race between pathogens and hosts. Accordingly, an important criterion in mate choice and maternal selection thereafter could be the allelic specificity at polymorphic loci involved in parasite-host interactions, e.g. the MHC (major histocompatibility complex). The MHC has been found to influence mate choice and selective abortions in mice and humans. However, it could also influence the fertilization process itself, i.e. (i) the oocyte's choice for the fertilizing sperm, and (ii) the outcome of the second meiotic division after the sperm has entered the egg. We tested both hypotheses in an in vitro fertilization experiment with two inbred mouse strains congenic for their MHC. The genotypes of the resulting blastocysts were determined by polymerase chain reaction. We found nonrandom MHC combinations in the blastocysts which may result from both possible choice mechanisms. The outcome changed significantly over time, indicating that a choice for MHC combinations during fertilization may be influenced by one or several external factors.

In vitro assessment of the pulmonary toxicity and gastric availability of lead-rich particles from a lead recycling plant

Epidemiological studies in urban areas have linked increasing respiratory and cardiovascular pathologies with atmospheric particulate matter (PM) from anthropic activities. However, the biological fate of metal-rich PM industrial emissions in urban areas of developed countries remains understudied. Lead toxicity and bioaccessibility assessments were therefore performed on emissions from a lead recycling plant, using complementary chemical acellular tests and toxicological assays, as a function of PM size (PM(10-2.5), PM(2.5-1) and PM(1)) and origin (furnace, refining and channeled emissions). Process PM displayed differences in metal content, granulometry, and percentage of inhalable fraction as a function of their origin. Lead gastric bioaccessibility was relatively low (maximum 25%) versus previous studies; although, because of high total lead concentrations, significant metal quantities were solubilized in simulated gastrointestinal fluids. Regardless of origin, the finest PM(1) particles induced the most significant pro-inflammatory response in human bronchial epithelial cells. Moreover, this biological response correlated with pro-oxidant potential assay results, suggesting some biological predictive value for acellular tests. Pulmonary effects from lead-rich PM could be driven by thiol complexation with either lead ions or directly on the particulate surface. Finally, health concern of PM was discussed on the basis of pro-inflammatory effects, accellular test results, and PM size distribution.

Towards equivalent health care of prisoners: European soft law and public health policy in Geneva.

Prisoners have a right to health care and to be protected against inhumane and degrading treatment. Health care personnel and public policy makers play a central role in the protection of these rights and in the pursuit of public health goals. This article examines the legal framework for prison medicine in the canton of Geneva, Switzerland and provides examples of this framework that has shaped prisoners' medical care, including preventive measures. Geneva constitutes an intriguing example of how the Council of Europe standards concerning prison medicine have acquired a legal role in a Swiss canton. Learning how these factors have influenced implementation of prison medicine standards in Geneva may be helpful to public health managers elsewhere and encourage the use of similar strategies.

Random measurement error and regression dilution bias.

Summary points: - The bias introduced by random measurement error will be different depending on whether the error is in an exposure variable (risk factor) or outcome variable (disease) - Random measurement error in an exposure variable will bias the estimates of regression slope coefficients towards the null - Random measurement error in an outcome variable will instead increase the standard error of the estimates and widen the corresponding confidence intervals, making results less likely to be statistically significant - Increasing sample size will help minimise the impact of measurement error in an outcome variable but will only make estimates more precisely wrong when the error is in an exposure variable

Quantitative comparison of simulations of seismic wave propagation in heterogeneous poro-elastic media involving fluid-solid interfaces and in equivalent visco-elastic solids

There is increasing evidence to suggest that the presence of mesoscopic heterogeneities constitutes the predominant attenuation mechanism at seismic frequencies. As a consequence, centimeter-scale perturbations of the subsurface physical properties should be taken into account for seismic modeling whenever detailed and accurate responses of the target structures are desired. This is, however, computationally prohibitive since extremely small grid spacings would be necessary. A convenient way to circumvent this problem is to use an upscaling procedure to replace the heterogeneous porous media by equivalent visco-elastic solids. In this work, we solve Biot's equations of motion to perform numerical simulations of seismic wave propagation through porous media containing mesoscopic heterogeneities. We then use an upscaling procedure to replace the heterogeneous poro-elastic regions by homogeneous equivalent visco-elastic solids and repeat the simulations using visco-elastic equations of motion. We find that, despite the equivalent attenuation behavior of the heterogeneous poro-elastic medium and the equivalent visco-elastic solid, the seismograms may differ due to diverging boundary conditions at fluid-solid interfaces, where there exist additional options for the poro-elastic case. In particular, we observe that the seismograms agree for closed-pore boundary conditions, but differ significantly for open-pore boundary conditions. This is an interesting result, which has potentially important implications for wave-equation-based algorithms in exploration geophysics involving fluid-solid interfaces, such as, for example, wave field decomposition.

Level of accumulation of epoxy fatty acid in Arabidopsis thaliana expressing a linoleic acid delta12-epoxygenase is influenced by the availability of the substrate linoleic acid.

Arabidopsis thaliana (L.) Heynh. expressing the Crepis palaestina (L.) linoleic acid delta12-epoxygenase in its developing seeds typically accumulates low levels of vernolic acid (12,13-epoxy-octadec-cis-9-enoic acid) in comparison to levels found in seeds of the native C. palaestina. In order to determine some of the factors limiting the accumulation of this unusual fatty acid, we have examined the effects of increasing the availability of linoleic acid (9cis, 12cis-octadecadienoic acid), the substrate of the delta12-epoxygenase, on the quantity of epoxy fatty acids accumulating in transgenic A. thaliana. The addition of linoleic acid to liquid cultures of transgenic plants expressing the delta12-epoxygenase under the control of the cauliflower mosaic virus 35S promoter increased the amount of vernolic acid in vegetative tissues by 2.8-fold. In contrast, the addition to these cultures of linoelaidic acid (9trans, 12trans-octadecadienoic acid), which is not a substrate of the delta12-epoxygenase, resulted in a slight decrease in vernolic acid accumulation. Expression of the delta12-epoxygenase under the control of the napin promoter in the A. thaliana triple mutant fad3/fad7-1/fad9, which is deficient in the synthesis of tri-unsaturated fatty acids and has a 60% higher level of linoleic acid than the wild type, was found to increase the average vernolic acid content of the seeds by 55% compared to the expression of the delta12-epoxygenase in a wild-type background. Together, these results reveal that the availability of linoleic acid is an important factor affecting the synthesis of epoxy fatty acid in transgenic plants.

Trends in food availability in Switzerland, 1961-2007.

Trends in food availability in Switzerland were assessed using the Food and Agricultural Organization food balance sheets for the period 1961-2007. A relatively stable trend in the daily caloric supply was found: 3545 kcal/day in 1961 and 3465 kcal/day in 2007. Calories associated with carbohydrates decreased (slope±s.e.: -1.1±0.2 kcal/day/year), namely regarding cereals (-2.9±0.6 kcal/day/year) and fruit (-1.5±0.1 kcal/day/year), while the availability of sugars increased (1.2±0.5 kcal/day/year). In 1961, protein, fat, carbohydrates and alcohol represented 10.6, 33.5, 50.0 and 5.9% of total caloric supply, respectively; in 2007, the values were 10.8, 40.3, 43.7 and 5.2%. In 1961, palm, groundnut and sunflowerseed oil represented 3.4, 30.7 and 5.3% of total vegetable oils, respectively; in 2007, the values were 10.4, 3.7 and 31.6%. We conclude that between 1961 and 2007 total caloric availability remained relatively stable in Switzerland; the health effects of the increased and differing fat availability should be evaluated.