ABSTRACT For any square-free integer N such that the “moonshine group” Γ0(N)+ has genus zero, the Monstrous Moonshine Conjectures relate the Hauptmodul of Γ0(N)+ to certain McKay–Thompson series associated to the representation theory of the Fischer–Griess monster group. In particular, the Hauptmoduli admits a q-expansion which has integer coefficients. In this article, we study the holomorphic function theory associated to higher genus groups Γ0(N)+. For all such arithmetic groups of genus up to and including three, we prove that the corresponding function field admits two generators whose q-expansions have integer coefficients, has lead coefficient equal to one, and has minimal order of pole at infinity. As corollary, we derive a polynomial relation which defines the underlying projective curve, and we deduce whether i∞ is a Weierstrass point. Our method of proof is based on modular forms and includes extensive computer assistance, which, at times, applied Gauss elimination to matrices with thousands of entries, each one of which was a rational number whose numerator and denominator were thousands of digits in length.

There are great demands to develop explosives with higher performance accompanied by reduced sensitivities towards external stimuli, higher thermal stability and improved environmental acceptability. This contribution presents modified nitramines, which were investigated by nucleophilic substitution reactions of potassium salts of 5-amino-3-nitro-1,2,4-triazole, 3,5-dinitro-1,2,4-triazole, 3,5-dinitroimidazole, 2,4-dinitroimidazole, 4-amino-3,5-dinitropyrazole, 3,5-dinitropyrazole, 3,4-dinitropyrazole and 3,4,5-trinitropyrazole on 1,3-dichloro-2-nitrazapropane. The energetic compounds were comprehensively characterized and their detonation parameters were calculated by the EXPLO5 code. Heats of formation were calculated by the atomization method using CBS-4M electronic enthalpies. The presented compounds show detonation performances comparable to pentaerythritol tetranitrate (PETN). In addition, they possess high thermal stabilities and low sensitivities, which make them interesting for further investigations and possible applications as insensitive, high-energy dense materials.

Abstract The 3-hydroxy-3-methylglutaryl coenzyme A (HMG-CoA) reductase inhibitors (statins) are generally well tolerated as monotherapy. Statins are associated with two important adverse effects, asymptomatic elevation in liver enzymes and myopathy. Myopathy is most likely to occur when statins are administered with other drugs. Statins are substrates of multiple drug transporters (including OAT- -P1B1, BCRP and MDR1) and several cytochrome P450 (CYP) enzymes (including CYP3A4, CYP2C8, CYP2C19, and CYP2C9). Possible adverse effects of statins can occur due to interactions in concomitant use of drugs that substantially inhibit or induce their methabolic pathway. This review summarizes the most important interactions of statins.

Introduction: Therapeutic ultrasound is a physical modality which is constantly expanding range of indications. Analgesic effect of ultrasound is still under discussion. Regardless the extensive application of pulsed ultrasound of low intensity, continuous ultrasound has a better analgesis effect, which is explained by its mechanism of action. Aims: The main research objective of this study was to determine the effect of continuous ultrasound to pain caused by degenerative diseases of the musculoskeletal system in the intensity and duration of ultrasound treatment. Other objectives are entailed determining the correlation between the degree of pain reduction with: location of pain, age, gender and body mass index (BMI). Material and methods: The study included 68 patients with chronic pain localized in the region of the spine or major joints of the extremities, depending on the localization of the degenerative changes. Patients are divided into two groups. The first group was treated with 10 applications of continuous ultrasound with frequency of 1 MHz, intensity 0.4 W/cm2 for 8 minutes, and the other group with 10 applications of ultrasound with frequency of 1 MHz, intensity 0.8 W/cm 2 for 4 minutes. Results and Discussion: Pain intensity was assessed before and after ultrasound therapy performed by subjective visual analogue scale (VAS) for pain, numbered from 0-10, where 0 is the rating for the state of no pain, and 10 grades for severe pain. The average VAS improvement in the first group was 3.97, and 4.74 in second one. The results of F (1.66) = 2.93, p = 0.09 analysis of variance showed no significance difference between the average improvement of two groups. Correlation between the degree of pain reduction showed significance only with BMI, or that higher BMI is associated with a lower degree of pain reduction. The results of this study showed that application of continuous ultrasound in patients with chronic pain, caused by degenerative changes in the musculoskeletal system, led to a significant reduction in pain. Different intensity and duration of ultrasound application showed no significant effect on the degree of pain reduction. Body mass index showed significant negative correlation with the degree of pain reduction, but age, gender and location of pain did not show significant correlation.

Introduction: Factors of cardiovascular risk (CVR) are often grouped in cases with diabetes mellitus (DM) with significant increasment of risk for CV disease . The aim of this research is to determine the frequency of CVR and and total CVR in cases with DM and to investigate connection of CRP of other factors of CVR in total cardiovascular risks. Material and methods: In 92 cases with DM weist values were taken as well as body mass index (BMI), blood pressure, sugar in blood, cholesterol, triglycerides, C reactive protein (CRP) and according to SCORE system the 10 year period of CVR were determined. Results: Out of 92 tested cases with age 55,22± 8,3 years, 63,05% were males and 36,95% were women, 81,5% were with values of sugar in blood >7mmol/l, 44,6% were with values of HbA1C>7% and 63,0% >6,5%. The value of cholesterol were >4,5mmol/l in 87%, triglycerides >1,7mmol/l in 78.3% of tested cases. 81,5% of tested cases were overweight and 49% with larger weight values. Average cardiovascular factor according to SCORE system was 3, 92± 3,7% with significant difference among sexes (M-4,86; W-2,32, p3mg/l) 52% of tested cases were with high cardiovascular risk. There is significant positive correlation between CRP and cholesterol level (p<0, 01), triglycerides, blood in sugar, HbA1c and upper values of blood pressure (p<0, 05). Significant correlation between CRP and total cardiovascular risk (p=0, 63) was not evident. Conclusion: Cases with diabetes mellitus have high level of non regulated cardiovascular risk factors. Even though there is significant correlation between CRP and and pressure values, sugar in blood, HbA1c, cholesterol, triglycerides, significant correlation between CRP and total cardiovascular risk in cases with diabetes mellitus is not evident.