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I. Gazdić, A. Modrić-Šahbazović, S. Avdic, S. Sulejmanović

This paper presents the process of obtaining thin films of polymer polyaniline that has been doped directly in the production process. Samples of thin films were obtained using a rotating disk method at different speeds. Polyaniline synthesis (PANI) was performed at 0°C and room temperature of 20°C. Doping was made with hydrochloric acid (PANI-HCl). We have shown what were the important factors that had influence on obtaining reproducible patterns of about the same characteristics. As indicators of these properties we measured electrical resistance, on the basis of which was calculated specific electrical conductivity of the obtained samples of thin films of polyaniline from different series of production.

In this paper, we investigate metric properties and dispersive effects of strongly mixing transformations on general metric spaces endowed with a probability measure; in particular, we investigate their connections with the theory of generalized (α-harmonic) diameters on general metric spaces. We first show that the known result by R. E. Rice ([Aequationes Math. 17(1978), 104-108], Theorem 2) (motivated by some physical phenomena and offer some clarifications of these phenomena), which is a substantial improvement of Theorems 1 and 2 due to T. Erber, B. Schweizer and A. Sklar [Comm. Math. Phys., 29 (1973), 311 – 317], can be generalized in such a way that this result remains valid when "ordinary diameter" is replaced by "α-harmonic diameter of any finite order". Next we show that  "ordinary essential diameter" in the mentioned Rice's result can be replaced by the" essential α-harmonic diameter  of any finite order". These  results also complement the previous results (on dynamical systems with discrete time and/or generalised diameters) of N. Faried and M. Fathey, H. Fatkic, E. B. Saff, S. Sekulovic and V.  Zakharyuta.

S. Sehović, A. Talić, M. Kacila, E. Tahirović

Goal: The aim of this study was to show whether the concomitant functional mitral regurgitation in patients undergoing aortic valve replacement improves after this surgical procedure and to identify preoperative echocardiographic parameters that may influence the lack of improvement in mitral regurgitation (MR) after aortic valve replacement (AVR). Material and methods: The study included 45 patients with severe aortic stenosis and concomitant moderate to severe (+2/+3)mitral regurgitation. Results: The results of our study indicated an improvement in the degree of mitral regurgitation in 24 patients. The most prominent parameters responsible for the lack of improvement of mitral regurgitation in our study were LVIDd, ERO, RVol, pulmonary artery systolic pressure and left atrial diameter. Identification of echocardiographic predictors may assist in selection of patients for whom more aggressive surgical treatment is advised. Conclusion: Concomitant moderate to severe functional MR indicates that MV should be repaired or replaced at the time of aortic valve surgery where at least two of indicated predicted preoperative echocardiographic parameters are present.

M. Voznák, M. Prokeš, L. Sevcik, J. Frnda, Homero Toral-Cruz, S. Jakovlev, P. Fazio, M. Mehić et al.

Global System for Mobile communication (GSM) is the most widespread technology for mobile communications in the world and serving over 7 billion users. Since first publication of system documentation there has been notified a potential safety problem’s occurrence. Selected types of attacks, based on the analysis of the technical feasibility and the degree of risk of these weaknesses, were implemented and demonstrated in laboratory of the VSB-Technical University of Ostrava, Czech Republic. These vulnerabilities were analyzed and afterwards possible attacks were described. These attacks were implemented using open-source tools, software programmable radio USRP (Universal Software RadioPeripheral) and DVB-T (Digital Video Broadcasting – Terrestrial) receiver. GSM security architecture is being scrutinized since first public releases of its specification mainly pointing out weaknesses in authentication and ciphering mechanisms. This contribution also summarizes practically proofed and used scenarios that are performed using opensource software tools and variety of scripts mostly written in Python. Main goal of this paper is in analyzing security issues in GSM network and practical demonstration of selected attacks.

J. Jorgenson, L. Smajlović, H. Then

There are a number of fundamental results in the study of holomorphic function theory associated to the discrete group PSL(2,Z) including the following statements: The ring of holomorphic modular forms is generated by the holomorphic Eisenstein series of weight four and six; the smallest weight cusp form Delta has weight twelve and can be written as a polynomial in E4 and E6; and the Hauptmodul j can be written as a multiple of E4 cubed divided by Delta. The goal of the present article is to seek generalizations of these results to some other genus zero arithmetic groups, namely those generated by Atkin-Lehner involutions of level N with square-free level N.

A. Krais, E. Speksnijder, Joost P. M. Melis, R. Indra, Michaela Moserová, R. Godschalk, F. V. van Schooten, A. Seidel et al.

The tumour suppressor p53 is one of the most important cancer genes. Previous findings have shown that p53 expression can influence DNA adduct formation of the environmental carcinogen benzo[a]pyrene (BaP) in human cells, indicating a role for p53 in the cytochrome P450 (CYP) 1A1-mediated biotransformation of BaP in vitro. We investigated the potential role of p53 in xenobiotic metabolism in vivo by treating Trp53(+/+), Trp53(+/–) and Trp53(−/−) mice with BaP. BaP-DNA adduct levels, as measured by 32P-postlabelling analysis, were significantly higher in liver and kidney of Trp53(−/−) mice than of Trp53(+/+) mice. Complementarily, significantly higher amounts of BaP metabolites were also formed ex vivo in hepatic microsomes from BaP-pretreated Trp53(−/−) mice. Bypass of the need for metabolic activation by treating mice with BaP-7,8-dihydrodiol-9,10-epoxide resulted in similar adduct levels in liver and kidney in all mouse lines, confirming that the influence of p53 is on the biotransformation of the parent compound. Higher BaP-DNA adduct levels in the livers of Trp53(−/−) mice correlated with higher CYP1A protein levels and increased CYP1A enzyme activity in these animals. Our study demonstrates a role for p53 in the metabolism of BaP in vivo, confirming previous in vitro results on a novel role for p53 in CYP1A1-mediated BaP metabolism. However, our results also suggest that the mechanisms involved in the altered expression and activity of the CYP1A1 enzyme by p53 in vitro and in vivo are different.

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