Nonlinear differential polynomials sharing a small function

summary:Dealing with a question of Lahiri [6] we study the uniqueness problem of meromorphic functions concerning two nonlinear differential polynomials sharing a small function. Our results will not only improve and supplement the results of Lin-Yi [16], Lahiri Sarkar [12] but also improve and supplement a very recent result of the first author [1]

Association of different socio-economic factors with hypertension prevalence, awareness, treatment and control in India: a demographic analysis of NFHS-4

Background: National Family Health Survey (NHFS) is a periodically conducted survey, which delivers data on health and healthcare of a representative sample of households of India. Studies that have evaluated hypertension awareness, treatment and control and its association with patient level socioeconomic factors are limited in India. The objectives of this study were to determine association of demographic variables like age, sex, habitat, wealth, religion and educational status with prevalence, awareness, treatment, and control of hypertension among rural and urban subjects in different states and union territories of india from NFHS-4 data.Methods: Data of 803211 subjects were taken from NFHS survey in 36 states and union territories of india, in 2015-2016. Prevalence of hypertension and its awareness, treatment, and control status and their association with age, sex, habitat, wealth, religion and educational status were determined. Logistic regression was carried out to evaluate the impact of different predictor variables.Results: Data of 803211 subjects were taken from NFHS survey voluntarily given by them for our project, of which 565705 (70.43%) came from rural population. 103525 of them were male which comprised of 12.89% and rest 87.11% were female volunteers in 36 states and union territories of india. Hypertension prevalence, awareness, treatment and control level in India was 17.69%, 20.44%, 34.37% and 13.64% respectively. In general, these parameters were much better in urban population and in female.  Although variations were observed between different study sites, they were low with poor education and wealth index.Conclusions: Hypertension awareness, treatment, and control were mostly low among the male, rural, poor and less educated individuals with large state wise variations

Evaluation of analgesic activity of methanolic extract of bougainvillea spectabilis leaves in experimental animal models

Background: Anti-inflammatory activity of leaves of Bougainvillea spectabilis (family Nyctaginaceae) has already been demonstrated in experimental animals. As pain is one of the important components of inflammation, we had set forward a study this find out possible analgesic activity of the same in animal models Objective: Evaluation of analgesic effects of, Bougainvillea spectabilis in mice models. Methods: 215 gm of fresh dried leaves of Bougainvillea spectabilis (BS) were collected from the local area during the flowering season and air dried. Following Methanol extraction, under reduced pressure solvent was removed on a rotary evaporator. The lyophilized extract was collected and the yield was 8 gm. That was used as an emulsion prepared in propylene glycol and orally administered (20 and 50 mg/kg). Central and peripheral analgesic activities of Bougainvillea spectabilis (BS) were evaluated by tail flick, tail immersion test and writhing test (acetic acid induced) respectively. Study Design: This is an experimental study designed on animal models. Results: Bougainvillea spectabilis (BS) had shown no analgesic action in central anal gesic model at different hours as the reaction time was less than 10 seconds at all time interval. With regard to peripheral analgesic activity, maximal activity was observed at 50 mg/kg b.w. The mean writhes ± standard deviation were 42.7±0.9 and 40±0.5 respectively in BS (20 mg/kg) and BS (50 mg/kg) in comparison to standard drug aspirin (33.3±0.4), control mice being 55.3±0.4. Conclusion: Our data indicates that Bougainvillea spectabilis (50 mg/kg) has a significant peripheral analgesic activity. Without isolating the active principles it's extremely difficult to pinpoint the mechanisms contributing to the observed analgesic activities of Bougainvillea spectabilis and extrapolate that in clinical practice

Coping the arsenic toxicity in rice plant with magnesium addendum for alluvial soil of indo-gangetic Bengal, India

Arsenic (As3+) is a toxic metalloid found in the earth’s crust, its elevated concentration is a concern for human health because rice is the staple grain in eastern part of India and the waterlogged rice field environment provides opportunity for more As3+ uptake. Magnesium (Mg2+) is an important plant nutrient. Present work is a search for reducing As3+ toxicity in plants through Mg2+ application. The findings are quite impressive, the root to shoot biomass ratio showed more than 1.5 times increase compared to the control. Total protein content increased 2 folds. Carbohydrate and chlorophyll content increased two to three times compared to control. On the other hand, Malondialdehyde content showed a decline with the application of increased Mg2+ dose. The in-silico study shows a better interaction with As3+ in presence of Mg2+ but interestingly without stress symptoms. These findings from the research indicate that Mg2+ application can be effective in reducing As3+ induced stress in plants

Diffusion with critically correlated traps and the slow relaxation of the longest wavelength mode

We study diffusion on a substrate with permanent traps distributed with critical positional correlation, modeled by their placement on the perimeters of a critical percolation cluster. We perform a numerical analysis of the vibrational density of states and the largest eigenvalue of the equivalent scalar elasticity problem using the method of Arnoldi and Saad. We show that the critical trap correlation increases the exponent appearing in the stretched exponential behavior of the low frequency density of states by approximately a factor of two as compared to the case of no correlations. A finite size scaling hypothesis of the largest eigenvalue is proposed and its relation to the density of states is given. The numerical analysis of this scaling postulate leads to the estimation of the stretch exponent in good agreement with the density of states result.Comment: 15 pages, LaTeX (RevTeX

Bioremediation: the eco-friendly solution to the hazardous problem of environmental pollution

Bioremediation is a technique to enhance natural biological processes to rectify polluted groundwater, soil, and even entire habitats. Bioremediation techniques use biological agents to act upon hazardous, toxic materials and subsequently convert them into less toxic substances.Microbes are organisms ubiquitously present in the biosphere. These microorganisms are the main agents that remediate toxic and polluted environmental conditions. Highly polluted areas can be rectified using proper bioremediation procedures and interventions. In this review we have studied the different bioremediation techniques which can be utilized to correct the harmful effects of environmental pollution. In this study we have also emphasized on the benefits of adopting bioremediation as an efficient alternative technique in comparison to the traditional physical and chemical methods to restore the healthy environmental conditions