Analytic estimates and topological properties of the weak stability boundary

The weak stability boundary (WSB) is the transition region of the phase space where the change from gravitational escape to ballistic capture occurs. Studies on this complicated region of chaotic motion aim to investigate its unique, fuel saving properties to enlarge the frontiers of low energy transfers. This “fuzzy stability” region is characterized by highly sensitive motion, and any analysis of it has been carried out almost exclusively using numerical methods. On the contrary this paper presents, for the planar circular restricted 3 body problem (PCR3BP), 1) an analytic definition of the WSB which is coherent with the known algorithmic definitions; 2) a precise description of the topology of the WSB; 3) analytic estimates on the “stable region” (nearby the smaller primary) whose boundary is, by definition, the WSB

Adipose tissue concentrations of non-persistent environmental phenols and local redox balance in adults from Southern Spain

The aim was to evaluate the associations of environmental phenol and paraben concentrations with the oxidative microenvironment in adipose tissue. This study was conducted in a subsample (n=144) of the GraMo cohort (Southern Spain). Concentrations of 9 phenols and 7 parabens, and levels of oxidative stress biomarkers were quantified in adipose tissue. Associations were estimated using multivariable linear regression analyses adjusted for potential confounders. Benzophenone-3 (BP-3) concentration was borderline associated with enhanced glutathione peroxidase (GPx) activity [exp(β)=1.20, p=0.060] and decreased levels of reduced glutathione (GSH) [exp(β)=0.55, p=0.070]. Concentrations of bisphenol A (BPA) and methylparaben (MeP) were associated to lower glutathione reductase (GRd) activity [exp(β)=0.83, exp(β)=0.72, respectively], and BPA was borderline associated to increased levels of oxidized glutathione (GSSG) [exp(β)=1.73, p-value=0.062]. MeP was inversely associated to both hemeoxygenase-1 (HO-1) and superoxide dismustase (SOD) activity, as well as to the levels of thiobarbituric acid reactive substances (TBARS) [0.75 < exp(β) < 0.79]. Our results suggest that some specific non-persistent pollutants may be associated with a disruption of the activity of relevant antioxidant enzymes, in addition to the depletion of the glutathione stock. They might act as a tissue-specific source of free radicals, contributing to the oxidative microenvironment in the adipose tissue.This research was supported in part by research grants from the European Union Commission (H2020-EJP-HBM4EU and SOE1/P1/F0082), Biomedical Research Networking Center-CIBER de Epidemiología y Salud Pública (CIBERESP), from the Institute of Health Carlos III, supported by European Regional Development Fund/FEDER (FIS-PI13/02406, FISPI14/ 00067, FIS-PI16/01820, FIS-PI16/01812, FIS-PI16/01858 and FIS-PI17/01743), and from the Consejería de Salud, Junta de Andalucía (PS-0506-2016). Funding for the equipment used was provided by Velux Fonden, Augustinus Fonden and Svend Andersen Fonden. The authors thank Kirsten og Freddy Johansens Fond and the International Centre for Research and Research Training in Endocrine Disruption of Male Reproduction and Child Health (EDMaRC, Rigshospitalet, Copenhagen University) for economic support. Dr. Juan Pedro Arrebola is under contract within Ramón y Cajal Program (Ministerio de Economía, Industria y Competitividad de España, RYC-2016-20155)