In this paper, we study the existence of extremal functions (pairs) following discrete Sobolev inequality (0.1) and Hardy-Littlewood-Sobolev (0.2) in lattice Z N : ? u ? q ? C p , D 1 ? ? ( ) where ? 3 < > ? = ? is a constant depending on ; ? i j ? f g | ? r s 0 + 2 . We introduce Concentration-Compactness principle, prove for best constants supercritical cases respectively.

INTRODUCTION Donor-recipient HLA compatibility is an important determinant of transplant outcomes. Allele-group to allele-level imputations help assign HLA genotypes when allele-level genotypes are not available during donor selection. METHODS We evaluated the performance of HaploStats, an allele-level multi-locus HLA genotype imputation tool from the National Marrow Donor Program, in a cross...

Numerous studies have evaluated the association between the human interleukin-10 gene -592C>A polymorphism and gastric cancer risk. However, the results have been inconsistent. This meta-analysis was designed to resolve these controversies. Systematic searches of the electronic databases Embase, PubMed, and Google Scholar were performed to identify relevant studies. A meta-analysis was performe...

The Morato's digger toad (Proceratophrys moratoi) inhabits Brazilian moist savannas and is critically endangered due to its very limited geographic distribution, reduced number of isolated populations, and evidence of population decline and local extinctions. With the objective of providing tools for the genetic study of the species, 22 polymorphic microsatellite loci were isolated and screened...

the aims of this research were to estimate of genetic parameters for pre-weaning traits and lamb survival in iran-black sheep. for this purpose 6344 records for birth weight (bw) and lamb survival (ls) and 5264 records for weaning weight (ww), average daily gain (adg) and kleiber ratio (kr) were available, which collected by abbasabad animal breeding and rearing station, over the period from 19...

For plasma velocity space instabilities driven by particle distributions significantly deviated from a Maxwellian, weak collisions can damp the an amount that is beyond collisional rate itself. This attributed to dual role of tend relax distribution toward Maxwellian and suppress linearly perturbed function. The former effect dominate in cases where unstable non-Maxwellian collisionless transpo...

The Colombian jaguar population is thought to contain two different subspecies, Panthera onca centralis and Panthera onca onca. The genetic structure of this population was evaluated using 12 microsatellite loci (n = 62 samples). In addition, 22 jaguar DNA samples from Guatemala, Paraguay, Perú, Bolivia, Venezuela and Brazil were analyzed for these microsatellite loci (n = 84 samples). The resu...