The periodic integral orbits of polynomial recursions with integer coefficients

We show that polynomial recursions $x_{n+1}=x_{n}^{m}-k$ where $k,m$ are integers and $m$ is positive have no nontrivial periodic integral orbits for $m\geq3$. If $m=2$ then the recursion has integral two-cycles for infinitely many values of $k$ but no higher period orbits. We also show that these statements are true for all quadratic recursions.Comment: 19 pages, 2 figure

Larvicidal activity of essential oil and methanol extract of Nepeta menthoides against malaria vector Anopheles stephensi

AbstractObjectiveTo investigate the larvicidal activity of essential oil and methanol extract of the Nepeta menthoides (N. menthoides) against main malaria vector, Anopheles stephensi (An. stephensi).MethodsThe essential oil of plant was obtained by Clevenger type apparatus and the methanol extract was supplied with Percolation method. Larvicidal activity was tested by WHO method. Twenty five fourth-instar larvae of An. stephensi were used in the larvicidal assay and four replicates were tested for each concentration. Five different concentrations of the oil and extract were tested for calculation of LC50 and LC90 values.ResultsThe LC50 and LC90 values were determined by probit analysis. LC50 was 69.5 and 234.3 ppm and LC90 was 175.5 and 419.9 ppm for the extract and essential oil respectively.ConclusionsAccording to the results of this study methanolic extract of plant exhibited more larvicidal activity than essential oil. This could be useful for investigation of new natural larvicidal compounds

Evaluation of the Time Course on the Effectiveness of WHO Standard Pyrethroid and Carbamate Impregnated Test Papers against Anopheles stephensi, the Main Malaria Vector in Iran

Background: Anopheles stephensi is a major vector of malaria in some parts of the world. A standard method for de­termining resistance in adult mosquito populations is the bioassay test recommended by the world health organization (WHO). The papers used in this method have an expiry date. This study aimed to determine the effectiveness of outdat­ed susceptibility test papers for use in insecticide resistance monitoring programs. Methods: Beech and Bandar Abbas strains of An. stephensi were reared in the insectary. Permethrin 0.75%, Deltame­thrin 0.05%, and Bendiocarb 0.1% impregnated test papers prepared by Universiti Sains Malaysia were used. Probit analysis was used to analyze the results and prepare time-mortality regression lines of LT50 and LT90. Results: There was a difference in the mortality of both tested strains of An. stephensi was exposed to all tested insecti­cides. Both expired and not expired Permethrin and Deltamethrin papers induced 100% mortality at the diagnostic time (60min), but their insecticidal properties were reduced gradually in serial times. The highest efficacy of test papers was in the first trimester after the expiry date and decreased over time. Conclusion: At the diagnostic time of 60 minutes, the mortality rate of both dated and expired papers was 100% in the pyrethroid insecticides, even three years after expiry dates, if stored in the package provided by the producer, in a re­frigerator. This value was reduced to less than 100% in the expired papers of Bendiocarb comparing the dated papers that induced 100% mortality

Five years of a single burn center experience with toxic epidermal necrolysis: retrospective study of causative drugs and the clinical outcome

Background: Stevens-Johnson syndrome (SJS) and toxic epidermal necrolysis (TEN) are rare, but potentially life-threatening reactions to medications. Both conditions have significant morbidity and mortality. This study aimed to document the epidemiological features, aetiologies, treatment and clinical outcomes of such patients.Method: In this retrospective cross-sectional study the records of all patients with TEN treated for5 years in central Hospital, Mashhad, Iran were reviewed. Results: Thirty-four patients were studied with a mean age of 26.5 years. Mean age in the mortality and survivors groups was 33.6 and 25.3 years, respectively. Drugs accounted for all 34 cases were including Anti-convulsants (52.9%) other the most common implicated drug followed by antibiotics (26.5%), allopurinol (5.9%) and multiple drugs (anticonvulsants plus antibiotics) (14.7%). Antibiotics had the shortest interval between ingestion time and onset of symptoms. The mean ICU length of stay was 12.7 days, with a range of 1 to 30 days. The mean of SCORTEN was 2.3; it was 3.3 and 2.1 in the mortality and survivors group, respectively (P=0.001).All 34 TEN cases were given intravenous immunoglobulins (IVIG). Six patients with TEN died (17.6%). The highest mortality was found in the allopurinol group with 50%, whereas anticonvulsants and antibiotics had a mortality rate of 16.6% and 15.3%, respectively.Conclusion: Anti-convulsants especially Lamotrigine were the most frequently implicated drug, followed by antibiotics and allopurinol. IVIG was shown beneficial effects in TEN syndrome

Effect of Genistein and L-Carnitine and Their Combination on Gene Expression of Hepatocyte HMG-COA Reductase and LDL Receptor in Experimental Nephrotic Syndrome

Background: Nephrotic syndrome is a disorder that leads to hyperlipidemia. L-carnitine and genistein can effect on lipid metabolism and the syndrome. In the present study, we have delved into the separate and the twin-effects of L-carnitine and genistein on the gene expressions of HMG-COA reductase and LDL receptor in experimental nephrotic syndrome. Methods: In this controlled experimental study, 50 male Sprague–Dawley rats were randomly divided into five groups: NC (normal-control), PC (patient-control), LC (L-carnitine), G (genistein), LCG (L-carnitine-genistein). Adri-amycin was used for inducing nephrotic syndrome and the spot urine samples and urine protein-to-creatinine ratio were measured. Hepatocytic RNA was extracted and real-time PCR was used for HMG-COA Reductase and LDL receptor gene Expression measurement. Results: The final weight of the patients groups were lower than the NC group (P=0.001), and weight gain of the NC group was higher than the other groups (P<0.001). The proteinuria and urine protein-to-creatinine ratio showed sig-nificant differences between PC group and LC, G and LCG groups at week 7 (P<0.001). The expression of HMG-COA Reductase mRNA down regulated in LC, G and LCG groups in comparison with PC group (P<0.001). ΔCT of LDLr mRNA showed significant differences between the PC group and the other patient groups (P<0.001). Conclusion: This study shows a significant decreasing (P<0.001) and non-significant increasing trend in HMG-COA Reductase and LDLr gene expression, respectively, and synergistic effect of L-carnitine and genistein on these genes in experimental nephrotic syndrome

Kdr genotyping and the first report of V410L and V1016I kdr mutations in voltage-gated sodium channel gene in Aedes aegypti (Diptera: Culicidae) from Iran

Background: Aedes aegypti is the main vector of arboviral diseases worldwide. The species invaded and became established in southern Iran in 2020. Insecticide-based interventions are primarily used for its control. With insecticide resistance widespread, knowledge of resistance mechanisms is vital for informed deployment of insecticidal interventions, but information from Iranian Ae. aegypti is lacking. Methods: Fifty-six Ae. aegypti specimens were collected from the port city of Bandar Lengeh in Hormozgan Province in the South of Iran in 2020 and screened for kdr mutations. The most common kdr mutations in Latin America and Asia (V410L, S989P, V1016G/I and F1534C), especially when present in combinations, are highly predictive of DDT and pyrethroid resistance were detected. Phylogenetic analyses based on the diversity of S989P and V1016G/I mutations were undertaken to assess the phylogeography of these kdr mutations. Results: Genotyping all four kdr positions of V410L, S989P, V1016G/I and F1534C revealed that only 16 out of the 56 (28.57%) specimens were homozygous wild type for all kdr mutation sites. Six haplotypes including VSVF (0.537), VSVC (0.107), LSVF (0.016), LSIF (0.071), VPGC (0.257) and LPGC (0.011) were detected in this study. For the first time, 11 specimens harbouring the V410L mutation, and 8 samples with V1016I mutation were found. V410L and V1016I were coincided in 8 specimens. Also, six specimens contained 1016G/I double mutation which was not reported before. Conclusions: The relatively high frequency of these kdr mutations in Iranian Ae. aegypti indicates a population exhibiting substantial resistance to pyrethroid insecticides, which are used widely in control operations and household formulations. The detection of the 410L/1016I kdr mutant haplotype in Iranian Ae. aegypti suggests possible convergence of invasive populations from West Africa or Latin America. However, as Iran has very limited maritime/air connections with those African countries, a Latin American origin for the invasive Ae. aegypti in Iran is more plausible