Построение некоторых функций функций в гиперкомплексной числовой системе 4-го порядка

Рассмотрены вопросы построения таких обратных функций как логарифм, гиперболические и тригонометрические арксинус и арккосинус. Приведены примеры построения обратных функций для гиперкомплексной числовой системы 4-го порядка.Розглянуто питання побудови таких обернених функцій як логарифм, тригонометричні та гіперболічні арксинус і арккосинус. Наведено приклади побудови обернених функцій для гіперкомплексної системи 4-го порядку.Questions of construction of such inverse functions as the logarithm, hyperbolic and trigonometrical arc sine and arc cosine are considered. Examples of construction of inverse functions for the 4th order hypercomplex numerical system are given

Chemo-enzymatic synthesis and biological activity evaluation of propenylbenzene derivatives

Propenylbenzenes, including isosafrole, anethole, isoeugenol, and their derivatives, are natural compounds found in essential oils from various plants. Compounds of this group are important and valuable, and are used in the flavour and fragrance industries as well as the pharmaceutical and cosmetic industries. The aim of this study was to develop an efficient process for synthesising oxygenated derivatives of these compounds and evaluate their potential biological activities. In this paper, we propose a two-step chemo-enzymatic method. The first step involves the synthesis of corresponding diols 1b–5b from propenylbenzenes 1a–5avia lipase catalysed epoxidation followed by epoxide hydrolysis. The second step involves the microbial oxidation of a diasteroisomeric mixture of diols 1b–5b to yield the corresponding hydroxy ketones 1c–4c, which in this study was performed on a preparative scale using Dietzia sp. DSM44016, Rhodococcus erythropolis DSM44534, R. erythropolis PCM2150, and Rhodococcus ruber PCM2166. Application of scaled-up processes allowed to obtain hydroxy ketones 1-4c with the following yield range 36–62.5%. The propenylbenzene derivatives thus obtained and the starting compounds were tested for various biological activities, including antimicrobial, antioxidant, haemolytic, and anticancer activities, and their impact on membrane fluidity. Fungistatic activity assay against selected strains of Candida albicans results in MIC50 value varied from 37 to 124 μg/mL for compounds 1a, 3a–c, 4a,b, and 5a,b. The highest antiradical activity was shown by propenylbenzenes 1-5a with a double bond in their structure with EC50 value ranged from 19 to 31 μg/mL. Haemolytic activity assay showed no cytotoxicity of the tested compounds on human RBCs whereas, compounds 2b–4b and 2c–4c affected the fluidity of the RBCs membrane. The tested compounds depending on their concentration showed different antiproliferative activity against HepG2, Caco-2, and MG63. The results indicate the potential utility of these compounds as fungistatics, antioxidants, and proliferation inhibitors of selected cell lines

A systematic review and meta-analysis of effect of vitamin D levels on the incidence of COVID-19

Background: Coronavirus disease 2019 (COVID-19) is a disease primarily affecting the respiratory tract, however due to the nature of the pathogenesis it is able to affect the whole body. So far, no causative treatment has been found and the main strategy when dealing with COVID-19 relies on widespread vaccination programs and symptomatic treatment. Vitamin D due to its ability to modulate the immunological system has been proposed as a factor playing role in the organism response to the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection. Therefore, we decided to perform this meta-analysis which aimed to establish a connection between vitamin D status and COVID-19 infection.Methods: Study was designed as a systematic review and meta-analysis. PubMed, EMBASE, Web of Science, Cochrane Collaboration Databases and Scopus electronic databases were searched for relevant studies from database inception to May 10th, 2021. Mean differences (MDs) with their 95% confidence intervals (CI) were calculated.Results: Thirteen studies providing data for 14,485 participants met the inclusion criteria. Mean vitamin D levels in SARS-CoV-2 negative patients was 17.7 ± 6.9 ng/mL compared to SARS-CoV-2 positive patients 14.1 ± 8.2 ng/mL (MD = 3.93; 95% CI 2.84–5.02; I2 = 99%; p < 0.001).Conclusions: Low serum vitamin D levels are statistically significantly associated with the risk of COVID-19 infection. Supplementation of vitamin D especially in the deficiency risk groups is indicated

Reasons for the Discontinuation of Betterment-Levy Charging in Poland (A Case Study of Gorlicki County)

Local government units carry costs related to the shaping and spatial development of communes, and are consequently interested in sharing the benefits that land property owners gain on this account. This is possible through, inter alia, the betterment levy. The aim of this study was to determine the reasons for the discontinuation of betterment levy charging in Poland, illustrated with the example of Gorlicki County. A further aim was to classify the reasons for the discontinuation of betterment levy charging in Poland, and to suggest directions for changes in the way in which this levy is charged. A questionnaire survey was conducted of the communes of Gorlicki County (Małopolskie Voivodeship), and was completed by those responsible for charging betterment levies in the communes. According to the survey results, no decision on charging of the betterment levy was issued in Gorlicki County between 2012 and 2019. The reasons for the discontinuation of charging of this levy, as indicated by the respondents, included the lack of analyses (estimation) of the increase in the property value following the execution of specific investment activities, high administrative costs related to the charging of this levy, and the stimulation of socio-economic development. However, the statistical analysis showed that the discontinuation of charging of the betterment levy in Gorlicki County had failed to contribute to socio-economic growth

Reasons for the Discontinuation of Betterment-Levy Charging in Poland (A Case Study of Gorlicki County)

Local government units carry costs related to the shaping and spatial development of communes, and are consequently interested in sharing the benefits that land property owners gain on this account. This is possible through, inter alia, the betterment levy. The aim of this study was to determine the reasons for the discontinuation of betterment levy charging in Poland, illustrated with the example of Gorlicki County. A further aim was to classify the reasons for the discontinuation of betterment levy charging in Poland, and to suggest directions for changes in the way in which this levy is charged. A questionnaire survey was conducted of the communes of Gorlicki County (Małopolskie Voivodeship), and was completed by those responsible for charging betterment levies in the communes. According to the survey results, no decision on charging of the betterment levy was issued in Gorlicki County between 2012 and 2019. The reasons for the discontinuation of charging of this levy, as indicated by the respondents, included the lack of analyses (estimation) of the increase in the property value following the execution of specific investment activities, high administrative costs related to the charging of this levy, and the stimulation of socio-economic development. However, the statistical analysis showed that the discontinuation of charging of the betterment levy in Gorlicki County had failed to contribute to socio-economic growth

Urban Sprawl Development for Minor Housing Areas

Vytauto Didžiojo universitetasŽemės ūkio akademij

A systematic review and meta-analysis of effect of vitamin D levels on the incidence of COVID-19

Background: Coronavirus disease 2019 (COVID-19) is a disease primarily affecting the respiratory tract, however due to the nature of the pathogenesis it is able to affect the whole body. So far, no causative treatment has been found and the main strategy when dealing with COVID-19 relies on widespread vaccination programs and symptomatic treatment. Vitamin D due to its ability to modulate the immu-nological system has been proposed as a factor playing role in the organism response to the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2) infection. Therefore, we decided to perform this me-ta-analysis which aimed to establish a connection between vitamin D status and COVID-19 infection. Methods: Study was designed as a systematic review and meta-analysis. PubMed, EMBASE, Web of Science, Cochrane Collaboration Databases and Scopus electronic databases were searched for relevant studies from database inception to May 10 th, 2021. Mean differences (MDs) with their 95% confidence intervals (CI) were calculated. Results: Thirteen studies providing data for 14,485 participants met the inclusion criteria. Mean vitamin D levels in SARS-CoV-2 negative patients was 17.7 ± 6.9 ng/mL compared to SARS-CoV-2 positive patients 14.1 ± 8.2 ng/mL (MD = 3.93; 95% CI 2.84–5.02; I 2 = 99%; p < 0.001). Conclusions: Low serum vitamin D levels are statistically significantly associated with the risk of COVID-19 infection. Supplementation of vitamin D especially in the deficiency risk groups is indicated