Double power laws, fractals and self-similarity

Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

Double power laws, fractals and self-similarity

Power law (PL) distributions have been largely reported in the modeling of distinct real phenomena and have been associated with fractal structures and self-similar systems. In this paper, we analyze real data that follows a PL and a double PL behavior and verify the relation between the PL coefficient and the capacity dimension of known fractals. It is to be proved a method that translates PLs coefficients into capacity dimension of fractals of any real data.

Power law and entropy analysis of catastrophic phenomena

Catastrophic events, such as wars and terrorist attacks, tornadoes and hurricanes, earthquakes, tsunamis, floods and landslides, are always accompanied by a large number of casualties. The size distribution of these casualties has separately been shown to follow approximate power law (PL) distributions. In this paper, we analyze the statistical distributions of the number of victims of catastrophic phenomena, in particular, terrorism, and find double PL behavior. This means that the data sets are better approximated by two PLs instead of a single one. We plot the PL parameters, corresponding to several events, and observe an interesting pattern in the charts, where the lines that connect each pair of points defining the double PLs are almost parallel to each other. A complementary data analysis is performed by means of the computation of the entropy. The results reveal relationships hidden in the data that may trigger a future comprehensive explanation of this type of phenomena.

Leis de potência em economia e finanças

Nesta dissertação aborda-se a aplicação de Leis de Potência (LPs), também designadas de Leis de Pareto ou Leis de Zipf, a dados económicos. As LPs são distribuições estatísticas amplamente usadas na compreensão de sistemas naturais e artificiais. O aparecimento das LPs deve-se a Vilfredo Pareto que, no século XIX, publicou o manual de economia política,“Cours d’Economie Politique”. Nesse manual refere que grande parte da economia mundial segue uma LP, em que 20% da população reúne 80% da riqueza do país. Esta propriedade carateriza uma variável que segue uma distribuição de Pareto (ou LP). Desde então, as LPs foram aplicadas a outros fenómenos, nomeadamente a ocorrência de palavras em textos, os sobrenomes das pessoas, a variação dos rendimentos pessoais ou de empresas, o número de vítimas de inundações ou tremores de terra, os acessos a sítios da internet, etc. Neste trabalho, é estudado um conjunto de dados relativos às fortunas particulares ou coletivas de pessoas ou organizações. Mais concretamente são analisados dados recolhidos sobre as fortunas das mulheres mais ricas do mundo, dos homens mais ricos no ramo da tecnologia, das famílias mais ricas, das 20 mulheres mais ricas da América, dos 400 homens mais ricos da América, dos homens mais ricos do mundo, dos estabelecimentos mais ricos do mundo, das empresas mais ricas do mundo e dos países mais ricos do mundo, bem como o valor de algumas empresas no mercado de ações. Os resultados obtidos revelam uma boa aproximação de parte desses dados a uma LP simples e uma boa aproximação pelos restantes dados a uma LP dupla. Observa-se, assim, diferenciação na forma de crescimento das fortunas nos diferentes casos estudados. Como trabalho futuro, procurar-se-á analisar estes e outros dados, utilizando outras distribuições estatísticas, como a exponencial ou a lognormal, que possuem comportamentos semelhantes à LP, com o intuito de serem comparados os resultados. Um outro aspeto interessante será o de encontrar a explicação analítica para as vantagens da aproximação de dados económicos por uma LP simples vs por uma LP dupla.

Entropy Analysis of Industrial Accident Data Series

Complex industrial plants exhibit multiple interactions among smaller parts and with human operators. Failure in one part can propagate across subsystem boundaries causing a serious disaster. This paper analyzes the industrial accident data series in the perspective of dynamical systems. First, we process real world data and show that the statistics of the number of fatalities reveal features that are well described by power law (PL) distributions. For early years, the data reveal double PL behavior, while, for more recent time periods, a single PL fits better into the experimental data. Second, we analyze the entropy of the data series statistics over time. Third, we use the Kullback–Leibler divergence to compare the empirical data and multidimensional scaling (MDS) techniques for data analysis and visualization. Entropy-based analysis is adopted to assess complexity, having the advantage of yielding a single parameter to express relationships between the data. The classical and the generalized (fractional) entropy and Kullback–Leibler divergence are used. The generalized measures allow a clear identification of patterns embedded in the data.

Casualties distribution in human and natural hazards

Catastrophic events, such as wars and terrorist attacks, big tornadoes and hurricanes, huge earthquakes, tsunamis, floods, and landslides, are always accompanied by a large number of casualties. The size distribution of these casualties have separately been shown to follow approximate power law (PL) distributions. In this paper, we analyze the number of victims of catastrophic phenomena, in particular, terrorism, and find double PL behavior. This means that the data set is better approximated by two PLs instead of one. We have plotted the two PL parameters corresponding to all terrorist events occurred in every year, from 1980 to 2010. We observe an interesting pattern in the chart, where the lines, that connect each pair of points defining the double PLs, are roughly aligned to each other.

[Géométrie descriptive

Parts 4-7 published by Carilian-Goeury et V. Dalmont.

Effects of creatine supplementation on renal function: a randomized, double-blind, placebo-controlled clinical trial

Creatine (CR) supplementation is commonly used by athletes. However, its effects on renal function remain controversial. The aim of this study was to evaluate the effects of creatine supplementation on renal function in healthy sedentary males (18-35 years old) submitted to exercise training. A randomized, double-blind, placebo-controlled trial was performed. Subjects (n = 18) were randomly allocated to receive treatment with either creatine (CR) (similar to 10 g day(-1) over 3 months) or placebo (PL) (dextrose). All subjects undertook moderate intensity aerobic training, in three 40-min sessions per week, during 3 months. Serum creatinine, serum and urinary sodium and potassium were determined at baseline and at the end of the study. Cystatin C was assessed prior to training (PRE), after 4 (POST 4) and 12 weeks (POST 12). Cystatin C levels (mg L-1) (PRE CR: 0.82 +/- 0.09; PL: 0.88 +/- 0.07 vs. POST 12 CR: 0.71 +/- 0.06; PL: 0.75 +/- 0.09, P = 0.0001) were decreased over time, suggesting an increase in glomerular filtration rate. Serum creatinine decreased with training in PL but was unchanged with training in CR. No significant differences were observed within or between groups in other parameters investigated. The decrease in cystatin C indicates that high-dose creatine supplementation over 3 months does not provoke any renal dysfunction in healthy males undergoing aerobic training. In addition, the results suggest that moderate aerobic training per se may improve renal function.

Creatine supplementation does not impair kidney function in type 2 diabetic patients: a randomized, double-blind, placebo-controlled, clinical trial

Creatine supplementation may have a therapeutic role in diabetes, but it is uncertain whether this supplement is safe for kidney function. The aim of this study was to investigate the effects of creatine supplementation on kidney function in type 2 diabetic patients. A randomized, double-blind, placebo-controlled trial was performed. The patients were randomly allocated to receive either creatine or placebo for 12 weeks. All the patients underwent exercise training throughout the trial. Subjects were assessed at baseline and after the intervention. Blood samples and 24-h urine samples were obtained for kidney function assessments. Additionally, (51)Cr-EDTA clearance was performed. To ensure the compliance with creatine intake, we also assessed muscle phosphorylcreatine content. The creatine group presented higher muscle phosphorylcreatine content when compared to placebo group (CR Pre 44 +/- A 10, Post 70 +/- A 18 mmol/kg/wt; PL Pre 52 +/- A 13, Post 46 +/- A 13 mmol/kg/wt; p = 0.03; estimated difference between means 23.6; 95% confidence interval 1.42-45.8). No significant differences were observed for (51)Cr-EDTA clearance (CR Pre 90.4 +/- A 16.9, Post 96.1 +/- A 15.0 mL/min/1.73 m(2); PL Pre 97.9 +/- A 21.6, Post 96.4 +/- A 26.8 mL/min/1.73 m(2); p = 0.58; estimated difference between means -0.3; 95% confidence interval -24.9 to 24.2). Creatinine clearance, serum and urinary urea, electrolytes, proteinuria, and albuminuria were unchanged. CR supplementation does not affect kidney function in type 2 diabetic patients, opening a window of opportunities to explore its promising therapeutic role in this population. ClinicalTrials.gov registration number: NCT00992043.

Creatine in Type 2 Diabetes: A Randomized, Double-Blind, Placebo-Controlled Trial

GUALANO, B., V. DE. SALLES PAINNELI, H. ROSCHEL, G. G. ARTIOLI, M. NEVES JR, A. L. DE SA PINTO, M. E. DA SILVA, M. R. CUNHA, M. C. G. OTADUY, C. DA COSTA LEITE, J. C. FERREIRA, R. M. PEREIRA, P. C. BRUM, E. BONFA, and A. H. LANCHA JR. Creatine in Type 2 Diabetes: A Randomized, Double-Blind, Placebo-Controlled Trial. Med. Sci. Sports Exerc., Vol. 43, No. 5, pp. 770-778, 2011. Creatine supplementation improves glucose tolerance in healthy subjects. Purposes: The aim was to investigate whether creatine supplementation has a beneficial effect on glycemic control of type 2 diabetic patients undergoing exercise training. Methods: A 12-wk randomized, double-blind, placebo-controlled trial was performed. The patients were allocated to receive either creatine (CR) (5 g.d(-1)) or placebo (PL) and were enrolled in an exercise training program. The primary outcome was glycosylated hemoglobin (Hb(A1c)). Secondary outcomes included the area under the curve of glucose, insulin, and C-peptide and insulin sensitivity indexes. Physical capacity, lipid profile, and GLUT-4 protein expression and translocation were also assessed. Results: Twenty-five subjects were analyzed (CR: n = 13; PL: n = 12). Hb(A1c) was significantly reduced in the creatine group when compared with the placebo group (CR: PRE = 7.4 +/- 0.7, POST = 6.4 +/- 0.4; PL: PRE = 7.5 +/- 0.6, POST = 7.6 +/- 0.7; P = 0.004; difference = -1.1%, 95% confidence interval = -1.9% to -0.4%). The delta area under the curve of glucose concentration was significantly lower in the CR group than in the PL group (CR = -7790 +/- 4600, PL = 2008 +/- 7614; P = 0.05). The CR group also presented decreased glycemia at times 0, 30, and 60 min during a meal tolerance test and increased GLUT-4 translocation. Insulin and C-peptide concentrations, surrogates of insulin sensitivity, physical capacity, lipid profile, and adverse effects were comparable between the groups. Conclusions: Creatine supplementation combined with an exercise program improves glycemic control in type 2 diabetic patients. The underlying mechanism seems to be related to an increase in GLUT-4 recruitment to the sarcolemma.

Replenish the source within: Rescuing tumor-infiltrating lymphocytes by double checkpoint blockade.

We have recently reported that the PD-1 and CTLA4 signaling pathways are active in both effector and regulatory T cells, causing profound immune dysfunctions in the tumor microenvironment. In line with this notion, the dual blockade of PD-1- and CTLA4-conveyed signals may exert robust therapeutic effects. Here, we discuss the mechanisms possibly underlying such a synergic interaction.

Cost of Illness and Contingent Valuation : Controlling for the Motivations of Expressed Preferences in an Attempt to Avoid Double-Counting

This paper addresses the issue of double counting of health impacts in the context of cost of illness valuation. Double counting occurs when estimates are jointly used, which rely on valuation techniques that overlap. As a solution, we propose to limit the scope of each of the valuation method to a specific range of impacts. In order to limit the contingentvaluation method to the exclusive valuation of intangible costs, we propose a three steps approach : (1) leave the respondents free to valuate the consequences which matter to them, (2) elicit respondent's motivations, (3) control for the influence motivations have on elicited values. This procedure was applied in a Swiss contingent-valuation. An econometric treatment was applied in order to limit the scope of the estimates of the contingent valuation method to intangibles,therefore the possibility to a combination of methods with the risk of double-counting and underestimating costs being kept to a minimum.