On the Order of Nilpotent Multipliers of Finite p-Groups

Let $G$ be a finite $p$-group of order $p^n$. YA. G. Berkovich (Journal of Algebra {\bf 144}, 269-272 (1991)) proved that $G$ is elementary abelian $p$-group if and only if the order of its Schur multiplier, $M(G)$, is at the maximum case. In this paper, first we find the upper bound $p^{\chi_{c+1}{(n)}}$ for the order the $c$-nilpotent multiplier of $G$, $M^{(c)}(G)$, where $\chi_{c+1}{(i)}$ is the number of basic commutators of weight $c+1$ on $i$ letters. Second, we obtain the structure of $G$, in abelian case, where $|M^{(c)}(G)|=p^{\chi_{c+1}{(n-t)}}$, for all $0\leq t\leq n-1$. Finally, by putting a condition on the kernel of the left natural map of the generalized Stallings-Stammbach five term exact sequence, we show that an arbitrary finite $p$-group with the $c$-nilpotent multiplier of maximum order is an elementary abelian $p$-group.Comment: 14 page

A HYBRID ALGORITHM FOR THE UNCERTAIN INVERSE p-MEDIAN LOCATION PROBLEM

In this paper, we investigate the inverse p-median location  problem with variable edge lengths and variable vertex weights on networks in which the vertex weights and modification costs are the independent uncertain variables. We propose a  model for the uncertain inverse p-median location problem  with tail value at risk objective. Then, we show that  it  is NP-hard. Therefore,  a hybrid particle swarm optimization  algorithm is presented  to obtain   the approximate optimal solution of the proposed model. The algorithm contains expected value simulation and tail value at risk simulation

Antimicrobial effect of the aqueous and ethanolic Teucrium polium L. extracts on gram positive and gram negative bacteria “in vitro”

    The genus Teucrium (germander) belongs to the family Lamiaceae, within the subfamily Ajugoideae.Teucrium polium L. (Labiatae) has long been recognized in folk medicine in the treatment of many pathophysiological implications, such as gastrointestinal disorders, inflammations, diabetes and rheumatism. In this study antimicrobial activity of two crude extracts obtained from Teucrium polium L. was tested against bacterial species. The Minimum Inhibitory Concentration (MIC) and Minimum Bactericidal Concentration (MBC) for both species determined by using “dilution method”. The antimicrobial effects of extracts were evaluated on Streptococcus pyogenes PTCC 1447, Pseudomonas aeruginosa PTCC 1310 and Staphylococcus epidermidis PTCC 1435 by “using the method of Collins” and “disk agar diffusion method”. The results showed that aqueous and ethanolic extracts were quite effective in 2000 μg/ml concentration on Streptococcus pyogenes and Staphylococcus epidermidis and were prevented from growth them on medium, while both extracts have no certain antimicrobial effect on Pseudomonas aeruginosa. In “disk agar diffusion method”, 10, 20, 30 and 40 mg/ml aqueous and ethanolic extracts concentrations, was inhibition effect on Streptococcus pyogenes and Staphylococcus epidermidis, and 30 and 40 mg/ml aqueous and ethanolic extracts concentrations, has inhibition effect on Pseudomonas aeruginosa prevent them growing, but at 10 and 20 mg/ml concentrations, no inhibitory effect on Pseudomonas aeruginosa was observed. The results indicate that ethanolic and aqueous extracts of Teucrium polium L. have the greatest effect on gram-positive bacterium Streptococcus pyogenes (p<0.05).  Results showed, aqueous and ethanolic extracts of Teucrium polium L., have been strong antimicrobial activity against many food pathogen bacteria

A SOLUTION ALGORITHM FOR p-MEDIAN LOCATION PROBLEM ON UNCERTAIN RANDOM NETWORKS

This paper investigatesthe classical $p$-median location problem in a network in which some of the vertex weights and the distances between vertices are uncertain and while others are random. For solving the $p$-median problem in an uncertain random network, an optimization model based on the chance theory is proposed first and then an algorithm is presented to find the $p$-median. Finally, a numerical example is given to illustrate the efficiency of the proposed metho

Analysis of Coverage Region for MIMO Relay Network with Multiple Cooperative DF-Relays

We study and analyze coverage region in MIMO communication systems for a multiple-relay network with decode-and-forward (DF) strategy at the relays. Assuming that there is a line-of-sight (LOS) propagation environment for source-relay channels and channel state information is available at receivers (CSIR), we consider the objective of maximizing coverage region for a given transmission rate and show numerically the significant effect of propagation environment on capacity bounds, optimal relay location and coverage region. Also, we study the situation in which two adjacent relays cooperate in transmission signals to the destination and show analytically that the coverage region is extended compared to noncooperative scenario.Comment: Accepted for publication in International Symposium on Wireless Communication Systems (ISWCS) 201

Osteoarthritis and Hemochromatosis: A genetic epidemiologic study

Osteoarthritis (OA) refers to a heterogeneous group of distinct diseases which express a comm

Role of circ-FOXO3 and miR-23a in radiosensitivity of breast cancer

Identifying the radiosensitivity of cells before radiotherapy (RT) in breast cancer (BC) patients allows appropriate switching between routinely used treatment regimens and reduces adverse side effects in exposed patients. In this study, blood was collected from 60 women diagnosed with Invasive Ductal Carcinoma (IDC) BC and 20 healthy women. To predict cellular radiosensitivity, a standard G2-chromosomal assay was performed. From these 60 samples, 20 BC patients were found to be radiosensitive based on the G2 assay. Therefore, molecular studies were finally performed on two equal groups (20 samples each) of patients with and without cellular radiosensitivity. QPCR was performed to examine the expression levels of circ-FOXO3 and miR-23a in peripheral blood mononuclear cells (PBMCs) and RNA sensitivity and specificity were determined by plotting Receiver Operating Characteristic (ROC) curves. Binary logistic regression was performed to identify RNA involvement in BC and cellular radiosensitivity (CR) in BC patients. Meanwhile, qPCR was used to compare differential RNA expression in the radiosensitive MCF-7 and radioresistant MDA-MB-231 cell lines. An annexin -V FITC/PI binding assay was used to measure cell apoptosis 24 and 48 h after 2 Gy, 4 Gy, and 8 Gy gamma-irradiation. Results indicated that circ-FOXO3 was downregulated and miR-23a was upregulated in BC patients. RNA expression levels were directly associated with CR. Cell line results showed that circ-FOXO3 overexpression induced apoptosis in the MCF-7 cell line and miR-23a overexpression inhibited apoptosis in the MDA-MB-231 cell line. Evaluation of the ROC curves revealed that both RNAs had acceptable specificity and sensitivity in predicting CR in BC patients. Binary logistic regression showed that both RNAs were also successful in predicting breast cancer. Although only circ-FOXO3 has been shown to predict CR in BC patients, circ-FOXO3 may function as a tumor suppressor and miR-23a may function as oncomiR in BC. Circ-FOXO3 and miR-23a may be promising potential biomarkers for BC prediction. Furthermore, Circ-FOXO3 could be a potential biomarker for predicting CR in BC patients.</p

Investigating the Minimum Inhibitory Concentration (MIC) and Minimum Bactericidal Concentration (MBC) of the Lavandula stoechas L. and Rosmarinus officinalis L. extracts on pathogen bacterias “in vitro”

     The infections risk related to pathogenic germs increases at the present time considering the increased resistance which certain microbes acquire, whose usual antibiotics are ineffective to treat the infectious disease. The aim of this study was to determine antimicrobial effect of the aqueous and ethanolic extracts of Lavandula stoechas L. and Rosmarinus officinalis L. on Listeria monocytogenes PTCC 1297، Bacillus cereus PTCC 1154، Enterobacter aerogenes PTCC 1221، Enterococcus faecalis PTCC 1237 and Salmonella typhi PTCC 1609 ”in vitro”. In this experimental study, after collecting plants from of Razavi Khorasan province, the extraction was carried out by the maceration method, after antimicrobial effect of the extracts evaluated by two methods, “Collins method” (spreading of the extract on medium surface) and “disk agar diffusion method”. The Minimum Inhibitory Concentration (MIC) and Minimum Bactericidal Concentration (MBC) for both species determined by using a dilution method. Statistical analysis was carried out by analysis of variance (ANOVA).The results show that aqueous and ethanolic Lavandula stoechas L. extracts were quite effective in 2000 μg/ml concentration on Listeria monocytogenes، Bacillus cereus and Enterococcus faecalis. The results indicate that ethanolic extracts of Lavandula stoechas L. have the greatest effect on gram-positive bacterium. The result shows that MIC of Lavandula stoechas L. leaves of the aqueous and ethanolic extracts for Enterobacter aerogenes was 32 and 16 mg/ml respectively. The result shows that MIC of Rosmarinus officinalis L. leaves of the aqueous and ethanolic extracts for Enterobacter aerogenes was 128 and 64 mg/ml respectively.The Lavandula stoechas L. and Rosmarinus officinalis L. extracts presented the more effective impact on the growth of gram-positive bacteria than  gram-negative bacteria (p&lt;0.05).

Immunoglobulin A Nephropathy and Malaria falciparum Infection; a Rare Association

Glomerular involvement occurs as a rare form of renal manifestation in Plasmodium falciparum malaria. Here, we report a rare case of falciparum malaria-associated IgA nephropathy. A 28-year-old man was admitted because of fever and abdominal pain. Ultrasound and computed tomography (CT) showed right kidney pyonenphrosis. Despite placing a nephrostomy tube, fever continued. Repeated CT was in favor of focal pyelonephritis. In addition, peripheral blood smear suggested malaria. Anti-malarial drugs were initiated and right nephrectomy was performed. One year after recovery from malaria, a persistent rise in serum creatinine was detected. A left kidney biopsy showed mesangial proliferation and dominant IgA deposits in immunofluorescence study while C(1)q was not deposited. The impression was IgA nephropathy with M1E0S0T0 of Oxford classification. The patient was prescribed a combination of low dose prednisolone and angiotensin converting enzyme inhibitor. Six months after treatment serum creatinine decreased from 1.6 mg/dL to 1.3mg/dL and urine abnormalities were disappeared. Our findings suggest that malaria infection might be associated with IgA nephropathy