Computation of Electromagnetic Fields Scattered From Objects With Uncertain Shapes Using Multilevel Monte Carlo Method

Computational tools for characterizing electromagnetic scattering from objects with uncertain shapes are needed in various applications ranging from remote sensing at microwave frequencies to Raman spectroscopy at optical frequencies. Often, such computational tools use the Monte Carlo (MC) method to sample a parametric space describing geometric uncertainties. For each sample, which corresponds to a realization of the geometry, a deterministic electromagnetic solver computes the scattered fields. However, for an accurate statistical characterization the number of MC samples has to be large. In this work, to address this challenge, the continuation multilevel Monte Carlo (CMLMC) method is used together with a surface integral equation solver. The CMLMC method optimally balances statistical errors due to sampling of the parametric space, and numerical errors due to the discretization of the geometry using a hierarchy of discretizations, from coarse to fine. The number of realizations of finer discretizations can be kept low, with most samples computed on coarser discretizations to minimize computational cost. Consequently, the total execution time is significantly reduced, in comparison to the standard MC scheme.Comment: 25 pages, 10 Figure

Sustainable manufacturing of new construction material from alkali activation of volcanic tuff

The current climate emergency leads to reduction of virgin raw material extraction and promotes circular economy. In this framework, alkali activation of unemployed fraction of grey tuff, combined with glass waste, provides a range of sustainable construction materials. For the sake of sustainability, tuff powder was subjected to rapid attack (30 min), operated by a 'weak' alkaline solution (3 M NaOH), and then left to dry at low temperature (75 degrees C) for 72 h. The addition of Triton X-100 surfactant was considered to obtain foams starting from slurries with different liquid-to-solid ratio. A thermal treatment was applied to selected samples, at low temperature (700 degrees C). Despite the 'mild' activation conditions, all products survived after immersion in boiling water or acid solution, already in the unfired state, according to the formation of a multiphasic gel. The strength-to density ratio, especially for foams, in both unfired and fired form, compares well with that of already existing construction materials (e.g. it could exceed 5 MPa cm3/g)

Cross-ethnic Friendships in Multiethnic Educational Settings: Consequences for Psychological, Academic and Motivational Outcomes among Young Adolescents

Cross-ethnic friendships are likely to constitute an important feature of children’s social world in multiethnic educational settings such as London secondary schools, which are now more ethnically diverse than ever. This thesis extends current knowledge on cross-ethnic friendships by examining the prevalence and effects of such friendships on various developmental outcomes among ethnic majority and minority status children attending multiethnic schools. While Chapter 1 presented an overview of the literature on cross-ethnic friendships, following empirical chapters (Chapters 2-6) demonstrated findings from a comprehensive 3-wave school study conducted in London schools. Chapter 2 focused on patterns of cross-ethnic friendships and showed specific relationships between ethnic diversity, ethnic group and cross-ethnic friendships. Chapter 3 indicated that cross-ethnic friendships are related to positive outcomes such as psychological well-being, resilience and academic outcomes and moderate the negative effects of discrimination. Chapter 4 showed that interpersonal processes of self-disclosure and ideal self affirmation mediated the associations between cross-ethnic friendships and well-being measures. Chapter 5 examined anxiety and intimate self-disclosure in both same- and cross-ethnic friendships and indicated that reduced anxiety is a unique process whereby cross-ethnic friendships relate to positive outcomes. Chapter 6 revealed longitudinal associations between cross-ethnic friendships and positive outcomes and showed that these associations are stronger in classrooms with lower classroom racial tension. Finally, Chapter 7 investigated cross-ethnic friendships in the light of motivational outcomes; results of two experimental studies indicated that mental representations of cross-ethnic friendships may have effects on future career and academic choices of ethnic minority young adolescents. Overall, findings show that cross-ethnic friendships are important resources for children, providing benefits for the development of psychological, academic and motivational outcomes among children. The role of cross-ethnic friendships on positive development is discussed in the light of ethnic group differences and implications for school policies in multiethnic settings (Chapter 8)

Reply to the Comment by B. Andresen

All the comments made by Andresen's comments are replied and are shown not to be pertinent. The original discussions [ABE S., Europhys. Lett. 90 (2010) 50004] about the absence of nonextensive statistical mechanics with q-entropies for classical continuous systems are reinforced.Comment: 5 pages. This is Reply to B. Andresen's Comment on the paper entitled "Essential discreteness in generalized thermostatistics with non-logarithmic entropy", Europhys. Lett. 90 (2010) 5000

Histopathological effects of maternal hair dye use on the cornea

The aim of this study is to investigate and compare the histopathological effects of hair dye additives, 2- amino-5-nitrophenol (2A5NP) and 2-nitro-p-phenylendiamin (2NPPD) on cornea of neonates from pregnant rats that have been administered these additives subcutaneously. The study included 90 neonates of 26 nulligravida wistar-albino rats among which ten were given 100 mg/kg/day 2A5NP (Group I), ten rats received 150 mg/kg/day 2NPPD (Group II) and control rats received saline (Group III) injections subcutaneously between 7th and 15th gestational days. No sign of toxicity was observed during the treatment and there was no gross abnormality in both the study and control groups. Histopathologicalchanges of cornea were seen in 22 of 30 newborn rats in Group I (73.4%), in 23 of 30 rats in Group II (76.7%) and only 5 of 30 rats in the control saline injected Group III (16.7%). Histopathological effect of the two additives were statistically significant when compared to the control group (Chi-square:27.63, p = 0.0001), but there was no difference between the effects of 2A5NP and 2NPPD additives on cornea (Chisquare: 0.089, p = 0.766). The present experimental study on rats confirmed the histopathological effect of 2A5NP and 2NPPD on cornea beyond doubt. In the light of which, we can speculate that maternal exposure of hair dyes during pregnancy has some teratogenic effects on newborn rat cornea

In vivo examination of healthy human skin after short-time treatment with moisturizers using confocal Raman spectroscopy and optical coherence tomography: Preliminary observations

Skin is our barrier against environmental damage. Moisturizers are widely used to increase hydration and barrier integrity of the skin; however, there are contrasting observations on their in vivo effects in real-life settings. In cosmetic studies, cor- neometers and tewameters are traditionally used to assess skin hydration. In this study, two novel noninvasive diagnostic techniques, optical coherence tomography (OCT) and confocal Raman spectroscopy, were used to analyze stratum corneum and epidermal thickness (ET), water content, blood flow in function of depth, skin roughness, attenuation coefficient, natural moisturizing factor, ceramides and free fatty acids, cholesterol, urea, and lactates in 20 female subjects aged between 30 and 45 before and after 2 weeks application of a commercially available mois- turizing lotion on one forearm. The untreated forearm served as control. A third measurement was conducted 1 week after cessation of moisturizing to verify whether the changes in the analyzed parameters persisted. We noticed a reduction in skin roughness, an increase in ceramides and free fatty acids and a not statistically sig- nificant increase in ET. As a conclusion, short time moisturizing appears insufficient to provide significant changes in skin morphology and composition, as assessed by OCT and RS. Novel noninvasive imaging methods are suitable for the evalu- ation of skin response to topical moisturizers. Further studies on larger sample size and longer treatment schedules are needed to analyze changes under treat- ment with moisturizers and to standardize the use of novel noninvasive diagnostic techniques

q-Generalization of the inverse Fourier transform

A wide class of physical distributions appears to follow the q-Gaussian form, which plays the role of attractor according to a Central Limit Theorem generalized in the presence of specific correlations between the relevant random variables. In the realm of this theorem, a q-generalized Fourier transform plays an important role. We introduce here a method which univocally determines a distribution from the knowledge of its q-Fourier transform and some supplementary information. This procedure involves a recently q-generalized Dirac delta and the class of functions on which it acts. The present method conveniently extends the inverse of the standard Fourier transform, and is therefore expected to be very useful in the study of many complex systems.Comment: 6 pages, 3 figures. To appear in Physics Letters

Combined In Silico, In Vivo, and In Vitro Studies Shed Insights into the Acute Inflammatory Response in Middle-Aged Mice

We combined in silico, in vivo, and in vitro studies to gain insights into age-dependent changes in acute inflammation in response to bacterial endotoxin (LPS). Time-course cytokine, chemokine, and NO2-/NO3- data from "middle-aged" (6-8 months old) C57BL/6 mice were used to re-parameterize a mechanistic mathematical model of acute inflammation originally calibrated for "young" (2-3 months old) mice. These studies suggested that macrophages from middle-aged mice are more susceptible to cell death, as well as producing higher levels of pro-inflammatory cytokines, vs. macrophages from young mice. In support of the in silico-derived hypotheses, resident peritoneal cells from endotoxemic middle-aged mice exhibited reduced viability and produced elevated levels of TNF-α, IL-6, IL-10, and KC/CXCL1 as compared to cells from young mice. Our studies demonstrate the utility of a combined in silico, in vivo, and in vitro approach to the study of acute inflammation in shock states, and suggest hypotheses with regard to the changes in the cytokine milieu that accompany aging. © 2013 Namas et al

On R\'enyi and Tsallis entropies and divergences for exponential families

Many common probability distributions in statistics like the Gaussian, multinomial, Beta or Gamma distributions can be studied under the unified framework of exponential families. In this paper, we prove that both R\'enyi and Tsallis divergences of distributions belonging to the same exponential family admit a generic closed form expression. Furthermore, we show that R\'enyi and Tsallis entropies can also be calculated in closed-form for sub-families including the Gaussian or exponential distributions, among others.Comment: 7 page