On the Number of Nonnegative Solutions to the Inequality a1 +....ar < n

In this paper, we present a simple and fast method for counting the number of nonnegative integer solutions to the equality a1x1+a2x2+: : :+arxr = n where a1; a2; :::; ar and n are positive integers. As an application, we use the method for finding the number of solutions of a Diophantine inequality

A New Approximation for the Null Distribution of the Likelihood Ratio Test Statistics for k Upper Outliers in a Normal Sample

In this paper, we introduce a new approximation for the null distribution of the likelihood ratio test for the general case. We compare the the critical values obtained by the new approximation to the values which are obtained by the exact distribution for the cases k=1, 2 to test the accuracy of the new approximation. Also, we compare the results to another approximation method (which is known by Barnett and Lewis (1994)) for the cases k=3,4.Likelihood Ratio Test, Outlier, Approximation, Normal Sample

Efficacy of Myrtus communis L. to inactivate the hydatid cyst protoscoleces

Purpose: The present study aims to investigate the scolicidal effects of Myrtus communis L. essential oil against protoscoleces of hydatid cysts and also its toxicity in mice model. Materials and Methods: Protoscoleces were aseptically aspirated from sheep livers having hydatid cysts. Various concentrations of the essential oil (12.5–100 μl/ml) were used for 5–30 min. Viability of protoscoleces was confirmed using eosin exclusion test (0.1% eosin staining). Moreover, 48 male NMRI mice were used to determine the acute and sub-acute toxicity of M. communis essential oil. One-way ANOVA with Tukey’s post-hoc test was used to assess differences between experimental groups. Results: Findings of the present study demonstrated that the M. communis essential oil at the concentration of 100 μl/ml after 5 min of exposure killed 100% protoscoleces. Similarly, the mean mortality rate of protoscoleces after 10 min of exposure to concentration of 50 μl/ml was 100%. However, lower concentrations (12.5 and 25 μl/ml) of M. communis essential oil provoked a delayed protoscolicidal effects. The LD50 values of intraperitoneal injection of the M. communis essential oil was 2.23 mL/kg body wt. No significant difference (p > .05) was observed in the clinical chemistry and hematological parameters following oral administrations of M. communis essential oil at the doses 0.05, 0.1, 0.2, and 0.4 mL/kg for 14 days. Conclusion: The results showed potent scolicidal activity of M. communis with no significant toxicity, which might be used as a natural scolicidal agent in hydatid cyst surgery

IS THE SAMPLE COEFFICIENT OF VARIATION A GOOD ESTIMATOR FOR THE POPULATION COEFFICIENT OF VARIATION?

In this paper, we obtain bounds for the population coefficient of variation (CV) in Bernoulli, Discrete Uniform, Normal and Exponential distributions. We also show that the sample coefficient of variation (cv) is not an accurate estimator of the population CV in the above indicated distributions. Finally we provide some suggestions based on the Maximum Likelihood Estimation to improve the population CV estimate

Phytochemical properties of some Iranian medicinal plants

There is renewal efforts toward the use of herbal medicines and preparation of natural new drugs. Phanolic compounds are a group of secondary plant compounds with significant antioxidant activity. Herbal based drugs with antioxidant activity are used against radical induced disorders like atherosclerosis. In the present study, antioxidant properties and the contents of phenolics and flavonoid components of hydro-Alcoholic extract of eight medicinal plants (Allium hirtifolium, Stachys lavandulifolia, Nigella sativa, Zataria multiflora, Tripleurospermum disciforme, Punica granatum, Echinophora platyloba and Portulaca oleracea) were measured. The correlation between antioxidant activities and phenolic or flavonoid components were also evaluated. The results showed that there was a correlation between the amounts of total phenolics in hydro-Alcoholic extract and antioxidant activities (R2=0.640). Furthermore, the results revealed that there was not a linear correlation between antioxidant properties and flavonoids or flavonol contents of the examined plants. The antioxidant properties of the examined plants may show the potential property of these plants in prevention or treatment of free radical related disorders. The lack of a linear correlation between antioxidant properties and flavonoids or flavonol contents of the examined plants might result from existence of other compounds with antioxidant properties in these plants

BASE DEFICIT IN IMMEDIATE POSTOPERATIVE PERIOD OF OPEN HEART SURGERY AND OUTCOME OF PATIENTS

Abstract- Base deficit is a non-respiratory indicator of acid base status. Aim of this study is to assess relationship between the base deficit value in immediate post operative period of CABG and valvular heart disease with cardiopulmonary and in hospital outcome of patient. A total of 136 consecutive with CABG and valvular heart disease scheduled in study. 20 variables were determined during the pre-intraand postoperative period. Statistical univariate analysis was performed differentiating patients whose initial base deficit after weaning from cardiopulmonary bypass was -8 meq and these whose base deficit was equal or more than -8 meq. Secondly a logistic regression model was performed on the variables shown to have a statistically significant difference in univariate analysis with determination of the odd ratio. 3 variables had a statistically significant difference in univariate analysis and 2 of them high lighted by the linear logistic model. The value of base deficit measured during the immediate postoperative open-heart surgery is correlated with volume of fresh frozen plasma and blood transfusion after open heart surgery and using of intra aortic balloon pump after surgery

ISBIS 2016: Meeting on Statistics in Business and Industry

This Book includes the abstracts of the talks presented at the 2016 International Symposium on Business and Industrial Statistics, held at Barcelona, June 8-10, 2016, hosted at the Universitat Politècnica de Catalunya - Barcelona TECH, by the Department of Statistics and Operations Research. The location of the meeting was at ETSEIB Building (Escola Tecnica Superior d'Enginyeria Industrial) at Avda Diagonal 647. The meeting organizers celebrated the continued success of ISBIS and ENBIS society, and the meeting draw together the international community of statisticians, both academics and industry professionals, who share the goal of making statistics the foundation for decision making in business and related applications. The Scientific Program Committee was constituted by: David Banks, Duke University Amílcar Oliveira, DCeT - Universidade Aberta and CEAUL Teresa A. Oliveira, DCeT - Universidade Aberta and CEAUL Nalini Ravishankar, University of Connecticut Xavier Tort Martorell, Universitat Politécnica de Catalunya, Barcelona TECH Martina Vandebroek, KU Leuven Vincenzo Esposito Vinzi, ESSEC Business Schoo

Chemical composition, efficacy and safety of Pistacia vera (var. Fandoghi) to inactivate protoscoleces during hydatid cyst surgery

At present, various scolicidal agents have been used for inactivation of protoscoleces during hydatid cyst surgery, however, they are associated with serious adverse side effects including sclerosing colangititis (biliary tract fibrosis), liver necrosis and methaemoglobinaemia. This investigation was designed to evaluate the chemical composition and in vitro scolicidal effects of Pistacia vera (var. Fandoghi) essential oil against protoscoleces of hydatid cysts and also its toxicity in mice model. The components of the P. vera essential oil were identified by gas chromatography/mass spectroscopy (GC/MS) analysis. Protoscoleces were aseptically aspirated from sheep livers having hydatid cysts. Various concentrations of the essential oil (25–200ml/mL) were used for 5–30 min. Viability of protoscoleces was confirmed using eosin exclusion test (0.1% eosin staining). In addition, forty male NIH mice were used to determine the acute and sub-acute toxicity of P. vera essential oil for 2 and 14 days, respectively. The main components of P. vera essential oil were limonene (26.21%), a-pinene (18.07%), a-thujene (9.31%) and a-terpinolene (9.28%). Findings of the present study demonstrated that the P. vera essential oil at the concentrations of 100 and 200ml/mL killed 100% protoscoleces after 10 and 5 min of exposure, respectively. The LD50 values of intraperitoneal injection of the P. vera essential oil was 2.69 ml/kg body weight, and the maximum nonfatal doses were 1.94 ml/kg body weight. No significant difference (P > 0.05) was observed in the clinical chemistry and hematological parameters following oral administrations of P. vera essential oil at the doses 0.1, 0.2, and 0.4 ml/kg for 14 days. The obtained findings demonstrated new chemical composition and promising scolicidal activity of the P. vera with no significant toxicity which might be used as a natural scolicidal agent in hydatid cyst surger

In vitro and in vivo antileishmanial activities of Pistacia vera essential oil

This study aims to evaluate the in vitro and in vivo antileishmanial activities of Pistacia vera essential oil and compare their efficacy with a reference drug, meglumine antimoniate (Glucantime®). This essential oil (0–100 µg/mL) was evaluated in vitro against the intracellular amastigote forms of Leishmania tropica (MHOM/IR/2002/Mash2) and then tested on cutaneous leishmaniasis of male BALB/c mice by Leishmania major (MRHO/IR/75/ ER). In the in vitro assay, it could be observed that P. vera essential oil significantly (p < 0.05) inhibited the growth rate of amastigote forms (IC50 of 21.3 ± 2.1 µg/mL) in a dose-dependent response compared with the control drug. Meglumine antimoniate also demonstrated antileishmanial effects with an IC50 value of 44.6 ± 2.5 µg/mL for this clinical stage. In the in vivo assay, the results indicated that 30 mg/mL of the essential oil had potent suppression effects on cutaneous leishmaniasis in BALB/c mice (87.5% recovery), while 10 and 20 mg/mL of the essential oil represented the suppression effects as weak to intermediate. The mean diameter of the lesions decreased about 0.11 and 0.27 cm after the treatment of the subgroups with the essential oil concentrations of 10 and 20 mg/mL, respectively. In contrast, in the subgroup treated with the essential oil concentration of 30 mg/mL, the mean diameter of the lesions decreased about 0.56 cm. In the control subgroups, the mean diameter of the lesions increased to 1.01 cm. The main components of P. vera essential oil were limonene (26.21%), α-pinene (18.07%), and α-thujene (9.31%). It was also found that P. vera essential oil had no significant cytotoxic effect on J774 cells. The present study found that P. vera essential oil showed considerable in vitro and in vivo effectiveness against L. tropica and L. major compared to the reference drug. These findings also provided the scientific evidence that natural plants could be used in traditional medicine for the prevention and treatment of cutaneous leishmaniasis