Existence and nonexistence of positive radial solutions of Neumann problems with critical Sobolev exponents

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Nonexistence of positive radial solutions of a quasilinear neumann problem with a critical sobolev exponent

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Boosting Principal Component Analysis by Genetic Algorithm

This paper presents a new method of feature extraction by combining principal component analysis and genetic algorithm. Use of multiple pre-processors in combination with principal component analysis generates alternate feature spaces for data representation. The present method works out the fusion of these multiple spaces to create higher dimensionality feature vectors. The fused feature vectors are given chromosome representation by taking feature components to be genes. Then these feature vectors are allowed to undergo genetic evolution individually. For genetic algorithm, initial population is created by calculating probability distance matrix, and by applying a probability distance metric such that all the genes which lie farther than a defined threshold are tripped to zero. The genetic evolution of fused feature vector brings out most significant feature components (genes) as survivours. A measure of significance is adapted on the basis of frequency of occurrence of the surviving genes in the current population. Finally, the feature vector is obtained by weighting the original feature components in proportion to their significance. The present algorithm is validated in combination with a neural network classifier based on error backpropagation algorithm, and by analysing a number of benchmark datasets available in the open sources.Defence Science Journal, 2010, 60(4), pp.392-398, DOI:http://dx.doi.org/10.14429/dsj.60.49

Ionophoretic Technique for the Determination of Stability Constants of Mixed Complexes (M-Nitrilotriacetate-5-Amino Pentanoate Systems)

A new method, involving the use of paper electrophoresis is described for the study of the equilibria in mixed ligand complex systems in solution. This technique is based on the movement of a spot of metal ion under an electric field with the complexants added in the background electrolyte at p\u27H = 8.5. Concentration of the primary ligand (NTA) was kept constant while that of the secondary ligand (5-amino pentanoic acid) was varied. The plots of-log [5-amino pentanoic acid] against mobility were used to obtain information on the forma tion of mixed complex and to calculate its stability constants. The binary equilibria M(II)-(5- amino pentanoic acid) and M(II)-NTA have also been studied since this is a prerequisite for the investigation of mixed complexes. The stability constants of the cornplexes, metal-nitrilotriacetate- 5-amino pentanoate have been found to be 5.85, 5.50, 5.22, 3.96 and 3.90 (log K values) for Cu(II), UOz(II), Ni(II), Co(II) and Zn(II) complexes, respectively, at fL = 0.1 mol/L and a temperature of 35 -c

Non-existence of nodal solution for m-Laplace equation involving critical Sobolev exponents

In this paper we study the non-existence of nodal solutions for critical Sobolev exponent problem -div(|∇u|m-2∇u)=|u| p-1 u+|u| q-1 u in B(R) u = 0 on ∂B(R) where B(R) is a ball of radius R in Rn

Placenta previa: risk factors, feto-maternal outcome and complications

Background: Placenta previa is defined as placenta that is implanted somewhere in the lower uterine segment either over or very near the internal cervical os. Placenta previa and coexistent accrete syndromes contribute substantively to maternal and perinatal morbidity and mortality.Methods: All This is a retrospective study of 88 cases of placenta previa, which were admitted under department of obstetrics and gynecology in our institute during July 2017 to June 2019. All patients of placenta previa with gestational age > 28 weeks up to full term were included in the study. All cases were confirmed by ultrasound examination. Outcome measures prevalence of placenta previa, maternal and neonatal outcomes, and case fatality rate.Results: The total number of deliveries performed during the study period was 16330, of them, 88 cases were placenta previa. Thus, the prevalence of PP was 0.53%. Multiparity was one of the etiological factors in 84.09%, whereas previous LSCS was 47.73%, previous H/O D and E was 14.73%, previous H/O placenta previa was 7.95%. Obstetric hysterectomy was done in 7 (7.95%) patients out of 88 patients. 92.04% of patients delivered with cesarean section and 7.95% patients delivered with normal vaginal delivery. 22 (26.50%) babies out of 83 live born were admitted in NICU.Conclusions: Advancing maternal age, multiparity, prior cesarean section, and prior abortions are independent risk factors for placenta previa. Placenta previa remains a risk factor for adverse maternal and perinatal outcome. The detection of placenta previa should encourage a careful evaluation with timely delivery to reduce the associated maternal and perinatal complications. Measures to reduce the primary caesarean section rate should be adopted

Evaluating the effects of CELF1 deficiency in a mouse model of RNA toxicity.

International audienceMyotonic dystrophy type 1 (DM1), the most common form of adult-onset muscular dystrophy, is caused by an expanded (CTG)n repeat in the 3' untranslated region of the DM protein kinase (DMPK) gene. The toxic RNA transcripts produced from the mutant allele alter the function of RNA-binding proteins leading to the functional depletion of muscleblind-like (MBNL) proteins and an increase in steady state levels of CUG-BP1 (CUGBP-ETR-3 like factor 1, CELF1). The role of increased CELF1 in DM1 pathogenesis is well studied using genetically engineered mouse models. Also, as a potential therapeutic strategy, the benefits of increasing MBNL1 expression have recently been reported. However, the effect of reduction of CELF1 is not yet clear. In this study, we generated CELF1 knockout mice, which also carry an inducible toxic RNA transgene to test the effects of CELF1 reduction in RNA toxicity. We found that the absence of CELF1 did not correct splicing defects. It did however mitigate the increase in translational targets of CELF1 (MEF2A and C/EBPβ). Notably, we found that loss of CELF1 prevented deterioration of muscle function by the toxic RNA, and resulted in better muscle histopathology. These data suggest that while reduction of CELF1 may be of limited benefit with respect to DM1-associated spliceopathy, it may be beneficial to the muscular dystrophy associated with RNA toxicity

Some Coupled coincidence and common fixed point theorems for hybrid pair of mappings

In this paper we extend the multi-valued mappings and obtain coupled coincidence points and common coupled fixed point theorems involving hybrid pair of single valued and multi-valued maps satisfying generalized contractive conditions in the frame work of a complete metric space. Keywords: coupled common fixed point, coupled coincidence point, coupled point of coincidence, w-compatible mappings, F-weakly commuting mappings