In the first part of the paper I will present a brief review on the Hardy–Weinberg equilibrium and it’s formulation in projective algebraic geometry. In the second and last part I will discuss examples and generalizations on the topic.

Even if non-adiabatic perturbations are generated in multi-field inflation, the perturbations will become adiabatic if the universe after inflation enters an era of local thermal equilibrium, with no non-zero conserved quantities, and will remain adiabatic as long as the wavelength is outside the horizon, even when local thermal equilibrium no longer applies. Small initial non-adiabatic perturb...

We successfully cloned the Wistar-Imamichi (WI) rat growth hormone gene (GenBank accession: GQ890681), which contained 5 exons and 4 introns. Using the polymerase chain reaction-single-strand conformation polymorphism (PCR-SSCP) technique, a novel missense substitution single nucleotide polymorphism was identified and tested for Hardy-Weinberg equilibrium with the χ(2) test. This gene fragment ...

The aim of the present study was to assess the frequencies of angiotensin I-converting enzyme (ACE; OMIM: 106180) and methylenetetrahydrofolate reductase (MTHFR; OMIM: 607093) polymorphisms in the Algerian population to further facilitate investigations on possible associations with various pathologies. The study was carried out on 146 apparently healthy individuals (65 males, 81 females) who w...

This investigation aimed to study polymorphism of growth hormone (GH), growth hormone receptor (GHR), and insulin like growth factor 1 (IGF-1) genes and their associations with growth and carcass traits in Mazandaran native chicken. 200 male chicks were reared and slaughtered at 12 weeks of age. Traits including live weight at 4, 8 and 12 weeks of age, body weight and weights of heart, liver, g...

Four Saudi Arabian indigenous sheep populations including Najdi, Hbsi, Arb, and Naemi were genotyped for 16 microsatellite markers recommended by the food and agriculture organization (FAO). This study aims to provide information on the genetic structure of the breeds analyzed and give indications and proposals for the cross breeding program. All loci were polymorphic in all populations and loc...

conclusions in conclusion, the ace and pparg genes do not have a key role in conferring risk for diabetic nephropathy. results ace id genotypes followed hardy-weinberg equilibrium in both cases and controls. but p12a genotypes deviated from hardy-weinberg equilibrium in diabetic controls. chi2 test was applied for the analysis of genotypic distributions in genotypic and dominant models. odds ra...

This paper concerns the testing for Hardy-Weinberg equilibrium and the estimation of gene frequency in the human leukocyte antigens (HLA) system. An extensive simulation study for both testing and estimation is given for investigating the performance of the projection method by Eguchi and Matsuura, which has a closed form, and the method is asymptotically equivalent to the maximum likelihood me...

Nine short tandem repeat (STR) markers (D3S1358, VWA, FGA, THO1, TPOX, CSFIPO, D5S818, D13S317, and D7S820) and a sex-identification marker (Amelogenin locus) were amplified with multiplex PCR and were genotyped with a four-color fluorescence method in samples from 174 unrelated Han individuals in North China. The allele frequencies, genotype frequencies, heterozygosity, probability of discrimi...