Exact solutions of the Klein-Gordon equation with ring-shaped oscillator potential by using the Laplace integral transform

We present exact solutions for the Klein Gordon equation with a ring-shaped oscillator potential. The energy eigenvalues and the normalized wave functions are obtained for a particle in the presence of non-central oscillator potential. The angulm＂ functions are expressed in terms of the hypergeometric functions. The radial eigenfunetions have been obtained by using the Laplace integral transform. By means of the Laplace transform method, which is efficient and simple, the radial Klein-Gordon equation is reduced to a first-order differential equation.

Bound state solutions of the Dirac equation with the Deng–Fan potential including a Coulomb tensor interaction

Approximate analytical solutions of the Dirac equation in the case of pseudospin and spin symmetry limits are inves- tigated under the Deng-Fan potential by applying the asymptotic iteration method for the arbitrary quantum numbers n and ~~. Some of the numerical results are also represented in both pseudospin symmetry and spin symmetry limits.

Definability and Textural Rough Set Algebras

In this paper,a counterpart of definability is studied in texture spaces.The concept of textural complete field is defined and the relations with textural definable sets are investigated.If a texture is discrete,then textural definability coincides with definability.Using this fact,we obtain some basic results for definability in rough set algebras.Further,we discuss on definability for fuzzy rough sets considering textural fuzzy direlations.

Identification of functional tumor necrosis factor-alpha promoter variants associated with Helicobacter pylori infection in the Sudanese population: Computational approach

BACKGROUND Helicobacter pylori(H.pylori)is a ubiquitous bacterium that affects nearly half of the world’s population with a high morbidity and mortality rate.Polymorphisms within the tumor necrosis factor-alpha(TNF-A)promoter region are considered a possible genetic basis for this disease.AIM To functionally characterize the genetic variations in the TNF-A 5’-region(-584 to+107)of Sudanese patients infected with H.pylori using in silico tools.METHODS An observational study was carried out in major public and private hospitals in Khartoum state.A total of 122 gastric biopsies were taken from patients who had been referred for endoscopy.Genomic DNA was extracted.Genotyping of the TNF-A-1030 polymorphism was performed using PCR with confronting two-pair primer to investigate its association with the susceptibility to H.pylori infection in the Sudanese population.Furthermore,Sanger sequencing was applied to detect single nucleotide polymorphisms in the 5’-region(-584 to+107)of TNF-A in H.pylori-infected patients.Bioinformatics analyses were used to predict whether these mutations would alter transcription factor binding sites or composite regulatory elements in this region.A comparative profiling analysis was conducted in 11 species using the ECR browser and multiple-sequence local alignment and visualization search engine to investigate the possible conservation.Also,a multivariate logistic regression model was constructed to estimate odds ratios and their 95%confidence intervals for the association between TNF-A-1030,sociodemographic characteristics and H.pylori infection.Differences were statistically significant if P<0.05.Statistical analyses were performed using Stata version 11 software.RESULTS A total of seven single nucleotide polymorphisms were observed in the TNF-A 5’-region of Sudanese patients infected with H.pylori.Only one of them(T>A,-76)was located at the in silico-predicted promoter region(-146 to+10),and it was predicted to alter transcription factor binding sites and composite regulatory elements.A novel mutation(A>T,+27)was detected in the 5’untranslated region,and it could affect the post-transcriptional regulatory pathways.Genotyping of TNF-A-1030 showed a lack of significant association between-1030T and susceptibility to H.pylori and gastric cancer in the studied population(P=0.1756)and(P=0.8116),respectively.However,a significant association was detected between T/C genotype and H.pylori infection(39.34%vs 19.67%,odds ratio=2.69,95%confidence interval:1.17-6.17,P=0.020).Mammalian conservation was observed for the(-146 to+10)region in chimpanzee(99.4%),rhesus monkey(95.6%),cow(91.8%),domesticated dog(89.3%),mouse(84.3%),rat(82.4%)and opossum(78%).CONCLUSION Computational analysis was a valuable method for understanding TNF-A gene expression patterns and guiding further in vitro and in vivo experimental validation.

Exploration of Genetic Pattern of Phenological Traits in Wheat (Triticum aestivum L.) under Drought Stress

Drought is the major detrimental environmental factor for wheat(Triticum aestivum L.)production.The exploration of genetic patterns underlying drought tolerance is of great significance.Here we report the gene actions controlling the phenological traits using the line×tester model studying 27 crosses and 12 parents under normal irrigation and drought conditions.The results interpreted via multiple analysis(mean performance,correlations,principal component,genetic analysis,heterotic and heterobeltiotic potential)disclosed highly significant differences among germplasm.The phenological waxiness traits(glume,boom,and sheath)were strongly interlinked.Flag leaf area exhibits a positive association with peduncle and spike length under drought.The growing degree days(heat-units)greatly influence spikelets and grains per spike,however,the grain yield/plant was significantly reduced(17.44 g to 13.25 g)under drought.The principal components based on eigenvalue indicated significant PCs(first-seven)accounted for 79.9%and 73.9%of total variability under normal irrigation and drought,respectively.The investigated yield traits showed complex genetic behaviour.The genetic advance confronted a moderate to high heritability for spikelets/spike and grain yield/plant.The traits conditioned by dominant genetic effects in normal irrigation were inversely controlled by additive genetic effects under drought and vice versa.The magnitude of dominance effects for phenological and yield traits,i.e.,leaf twist,auricle hairiness,grain yield/plant,spikelets,and grains/spike suggests that selection by the pedigree method is appropriate for improving these traits under normal irrigation conditions and could serve as an indirect selection index for improving yield-oriented traits in wheat populations for drought tolerance.However,the phenotypic selection could be more than effective for traits conditioned by additive genetic effects under drought.We suggest five significant cross combinations based on heterotic and heterobeltiotic potential of wheat genotypes for improved yield and enhanced biological production of wheat in advanced generations under drought.

Erratum to“Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions”

Klein-Gordon equation with pseudoharmonic oscillator has been corrected through physical acceptable solutions.In a way,we correct the energy spectra related to its behavior versus potential parameter De.

Relativistic solutions for diatomic molecules subject to pseudoharmonic oscillator in arbitrary dimensions

The exact solutions of the N-dimensional Klein–Gordon equation in the presence of an exactly solvable potential of V（r）=De（r/re-re/r）2 type have been obtained. The N dimensional Klein-Gordon equation has been reduced to a first-order differential equation via Laplace transformation. The exact bound state energy eigenvalues and corresponding wave functions for CH,H2,and HCl molecules interacting with pseudoharmonic oscillator potential in the arbitrary N dimensions have been determined. Bound state eigenfunctions used in applications related to molecular spectroscopy are obtained in terms of confluent hypergeometric functions.

Bidirectional intensity modulated/direct detection optical OFDM WDM-PON system

In this paper, we have evaluated a bidirectional wavelength division multiplexing passive optical network(WDM-PON) employing intensity modulated/direct detection optical orthogonal frequency division multiplexing(IM/DD-OFDM). The proposed system employs 100 Gbit/s 16 quadrature amplitude modulation(16-QAM) downstream and 5 Gbit/s on-off keying(OOK) upstream wavelengths, respectively. The proposed system is considered low-cost as non-coherent IM/DD OFDM technology and a simple reflective semiconductor optical amplifier(RSOA) colorless transmitter are employed and no dispersion compensating fiber(DCF) is needed. Based on the bit error rate(BER) results of WDM signals, the proposed WDM-PON system can achieve up to 1.6 Tbit/s(100 Gbit/s/λ × 16 wavelengths) downstream transmission over a 30 km single mode fiber(SMF).