Calculation of fractional integrals using partial sums of Fourier series for structural mechanics problems

The goal of this study is to develop and apply an approximate method for calculating integrals that are part of models using Riemann-Liouville integrals, and to create a software product that allows such calculations for given functions. The main results of the study consist in the construction of a quadrature formula for an integral, and the cases where the density of the integral is a function from the spaces of continuous functions with generalized derivatives with weight and the Helder classes of functions with weight were considered. For the proposed quadrature formula we further investigated the error of its approximation in the spaces of continuous functions and quadratic-summing functions with weight. As a result of the study, effective error estimates of the approximating apparatus in the proposed classes of functions have been established. In addition, the approximated method has been implemented on the computer in the form of a program in the C language. The significance of the obtained results for the construction industry consists in the fact that when solving problems, including problems on finding the shapes of structures, taking into account the properties of materials, environmental changes, in the models of which the Riemann-Liouville integrals are used, it will be possible to apply an approximate approach, the quadrature formula proposed in the article

The strategy of forming the research competence of students – architects by means of mathematics

Formation of students' research competencies is an urgent and important task of universities, which fits into the implementation of the strategy of scientific and technological development of the Russian Federation. The paper discusses the impact of project-based learning technology of mathematics on the formation of research competencies of students-architects. The distinctive features of this work are: the use of design technology of teaching mathematics on the basis of an educational architectural project; identifying the criteria and indicators for the level of research competence of architecture students The paper presents the results of experiments confirming the effectiveness of the proposed technology. The perspectives of using project technology in architects' training are discussed

The strategy of forming the research competence of students – architects by means of mathematics

Formation of students' research competencies is an urgent and important task of universities, which fits into the implementation of the strategy of scientific and technological development of the Russian Federation. The paper discusses the impact of project-based learning technology of mathematics on the formation of research competencies of students-architects. The distinctive features of this work are: the use of design technology of teaching mathematics on the basis of an educational architectural project; identifying the criteria and indicators for the level of research competence of architecture students The paper presents the results of experiments confirming the effectiveness of the proposed technology. The perspectives of using project technology in architects' training are discussed

Assessment of Bowel Preparation Using Low-Volume Sulphate-Based Preparations in Comparison with Macrogols: A Multicenter, Randomized, Comparative Clinical Study of the 3rd Phase

Oral sulphate solution (OSS: sodium sulphate, potassium sulphate and magnesium sulphate) is a low-volume osmotic agent for cleansing the intestines.Aim: in a multicentre, prospective, randomized, 3rd phase study with two parallel groups, the effectiveness, safety and tolerability of OSS was evaluated in comparison with Macrogol 4000 with electrolytes (a reference preparation for bowel cleansing in Russia) in adult patients who were scheduled for routine diagnostic colonoscopy.Methods. This study was conducted in three Russian research centres during the March–December, 2015 period. Men and women over the age of 18 scheduled to undergo routine diagnostic colonoscopy were randomly assigned either to the OSS group or to the Macrogol group with a fractional use mode before the colonoscopy. The colonoscopy researchers were not aware of which preparation had been taken by the patients. Anonymized video records were centrally analysed by three experts. The primary end point was the proportion of patients with a successful bowel preparation for colonoscopy ≥6 points, as determined by the Boston Bowel Preparation Scale of quality assessment (BBPS scale).Results. 296 patients were randomized in the study (147 patients were treated with OSS, 149 patients received Macrogol); 294 participants were included in the Intention to Treat population (ITT-population), and 274 participants were included in the population of patients who completed the study according to the protocol (Per-Protocol; PP-population) (139 patients received OSS, 135 patients received Macrogol). The proportion of patients with a successful bowel preparation (BBPS ≥6 scores) was high in both groups (OSS [PP-population]: 97.2 % (95 % confidence interval [CI] 89.5–99.3), Macrogol [PP-population]: 97.7 % (95 % CI: 90.7–99.4)). The corrected difference between the groups was -0.5 % (95 % CI: -4.2–3.3), thereby demonstrating “no less effective” of OSS as compared to Macrogol. Compliance with the drug use regime was higher in the OSS group than in the Macrogol group (95.7 % versus 82.3 %, respectively, p-value = 0.0011, ITT-population).The most common symptom reported in patients was nausea (27.9 % in the OSS group and 12.9 % in the Macrogol group). The proportion of patients who developed nausea was significantly higher in the OSS group than in the Macrogol group (25.2 % compared with 10.2 % when taking the first dose of the preparation (p = 0.0008) and 19.7 % compared with 6.8 % when taking the second dose of the preparation (p = 0.0016)). Differences in other symptoms (bloating, abdominal pain or abdominal discomfort) between the groups were not significant, with the severity of symptoms being generally mild. The safety profile of the investigated preparations in patients with inflammatory bowel disease (IBD) in remission did not differ from that in the general patient population.The differences in terms of secondary endpoints were not identified, including BBPS assessment for different sections of the colon, the level of polyp detection, the duration and completeness of colonoscopy, and the investigator’s satisfaction with the procedure. The analysis by subgroups also did not reveal any significant differences.Conclusion. In this study, the “not less effectiveness” of the sulphate solution was demonstrated as compared to Macrogol in a fractional use mode. Both preparations were well tolerated. Despite the higher incidence of nausea in the OSS group, the patients showed significantly higher compliance with the OSS mode as compared to that of Macrogol.This study is registered with the ClinicalTrials.gov Registry of Clinical Trials, No. NCT02321462

Assessment of Bowel Preparation Using Low-Volume Sulphate-Based Preparations in Comparison with Macrogols: A Multicenter, Randomized, Comparative Clinical Study of the 3rd Phase

Oral sulphate solution (OSS: sodium sulphate, potassium sulphate and magnesium sulphate) is a low-volume osmotic agent for cleansing the intestines.Aim: in a multicentre, prospective, randomized, 3rd phase study with two parallel groups, the effectiveness, safety and tolerability of OSS was evaluated in comparison with Macrogol 4000 with electrolytes (a reference preparation for bowel cleansing in Russia) in adult patients who were scheduled for routine diagnostic colonoscopy.Methods. This study was conducted in three Russian research centres during the March–December, 2015 period. Men and women over the age of 18 scheduled to undergo routine diagnostic colonoscopy were randomly assigned either to the OSS group or to the Macrogol group with a fractional use mode before the colonoscopy. The colonoscopy researchers were not aware of which preparation had been taken by the patients. Anonymized video records were centrally analysed by three experts. The primary end point was the proportion of patients with a successful bowel preparation for colonoscopy ≥6 points, as determined by the Boston Bowel Preparation Scale of quality assessment (BBPS scale).Results. 296 patients were randomized in the study (147 patients were treated with OSS, 149 patients received Macrogol); 294 participants were included in the Intention to Treat population (ITT-population), and 274 participants were included in the population of patients who completed the study according to the protocol (Per-Protocol; PP-population) (139 patients received OSS, 135 patients received Macrogol). The proportion of patients with a successful bowel preparation (BBPS ≥6 scores) was high in both groups (OSS [PP-population]: 97.2 % (95 % confidence interval [CI] 89.5–99.3), Macrogol [PP-population]: 97.7 % (95 % CI: 90.7–99.4)). The corrected difference between the groups was -0.5 % (95 % CI: -4.2–3.3), thereby demonstrating “no less effective” of OSS as compared to Macrogol. Compliance with the drug use regime was higher in the OSS group than in the Macrogol group (95.7 % versus 82.3 %, respectively, p-value = 0.0011, ITT-population).The most common symptom reported in patients was nausea (27.9 % in the OSS group and 12.9 % in the Macrogol group). The proportion of patients who developed nausea was significantly higher in the OSS group than in the Macrogol group (25.2 % compared with 10.2 % when taking the first dose of the preparation (p = 0.0008) and 19.7 % compared with 6.8 % when taking the second dose of the preparation (p = 0.0016)). Differences in other symptoms (bloating, abdominal pain or abdominal discomfort) between the groups were not significant, with the severity of symptoms being generally mild. The safety profile of the investigated preparations in patients with inflammatory bowel disease (IBD) in remission did not differ from that in the general patient population.The differences in terms of secondary endpoints were not identified, including BBPS assessment for different sections of the colon, the level of polyp detection, the duration and completeness of colonoscopy, and the investigator’s satisfaction with the procedure. The analysis by subgroups also did not reveal any significant differences.Conclusion. In this study, the “not less effectiveness” of the sulphate solution was demonstrated as compared to Macrogol in a fractional use mode. Both preparations were well tolerated. Despite the higher incidence of nausea in the OSS group, the patients showed significantly higher compliance with the OSS mode as compared to that of Macrogol.This study is registered with the ClinicalTrials.gov Registry of Clinical Trials, No. NCT02321462

Ubiquinol and plastoquinol triphenylphosphonium conjugates can carry electrons through phospholipid membranes

Many mitochondria-targeted antioxidants (MTAs) that comprise a quinol moiety covalently attached through an aliphatic carbon chain to the lipophilic triphenylphosphonium cation are widely used for evaluating the role of mitochondria in pathological processes involving oxidative stress. The potency of MTAs to carry electrons across biological membranes and thereby mediate transmembrane redox processes was unknown. To assess this, we measured the rate of ferricyanide reduction inside liposomes by external ascorbate. Here, we show that MTAs containing ubiquinone (MitoQ series) or plastoquinone (SkQ series) can carry electrons through lipid membranes, with the rate being inversely proportional to the length of the hydrocarbon linker group. Furthermore, this process was stimulated by the hydrophobic anion tetraphenylborate suggesting that permeation of the cationic MTA through the membrane was the rate-limiting step of the process. This conclusion was supported by the observation that the rate of MTA-induced electron transfer was insensitive to nigericin, in contrast to electron transfer mediated by neutral quinone derivatives. These findings indicate that MTAs can be utilized to transfer electrons across lipid membranes and this may be applicable to the study of the electron-transport chain in mitochondria and other natural membranes exhibiting redox processes