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Brownian Motion and Diffusion
Published in Peter Guttorp, Stochastic Modeling of Scientific Data, 2018
The section on genetic diffusion models is based on material in Ewens (1968) and Moran (1962). A formal description of weak convergence of genetic processes is in Chapter 10 of Ethier and Kurtz (1986). The description of the Fleming-Viot process follows Hochberg and Dawson (1982). The third issue of volume 9 of Statistical Science (1994) contains a collection of papers on statistical problems in genetics and molecular biology, indicating some main directions of modern statistical genetics.
Diabetic retinopathy progression associated with haplotypes of two VEGFA SNPs rs2010963 and rs699947
Published in Egyptian Journal of Basic and Applied Sciences, 2023
Haider Ali Alnaji, Rabab Omran, Aizhar H. Hasan, Mohammed Qasim Al Nuwaini
The findings suggest a moderate LD in two SNPs (rs2010963 and rs699947). The rs699947, as mentioned early in the study, it was observed to have no significant association with DR; however, the C allele shared with the G allele of rs2010963; both alleles are minor alleles (mutant) and contributed significantly >2 folds to DR progression. Thus, it is valuable to measure the LD, which confers a piece of more information if statistical genetics fails to find an association. LD occur when nonrandom gametic alleles are associated at various loci in a population [37]. The haplotype has an effect that differs from genotypes on disease, and the locus is still of clinical importance even though there is no link between genotype and clinical condition [38]. The VEGF gene SNPs located at the promoter region and 5’ UTR and
Accelerated lifetime modelling with frailty in a non-homogeneous Poisson Process for analysis of recurrent events data
Published in Quality Technology & Quantitative Management, 2018
Lia Hanna Martins Morita, Vera Lucia Tomazella, Francisco Louzada-Neto
Vera Lucia Tomazellais a professor of Statistics at the University Federal of São Carlos, Brazil. Her main interests are survival analysis, applied statistical genetics, regression models and statistical inference. She did her PhD from the University of São Paulo, Brasil, Postdoctoral (Bayesian Reference Analysis), Universitat de Valéncia, Spain and Postdoctoral (Survival Analysis), University of Manchester, Manchester, UK. She is joint author of 30 publications in statistical peer reviewed journals and 2 book chapters. She is the editor-in-chief technical report of the Department of Statistics at UFSCar, president of the Brazilian Association of Statistics and coordinator of the Inter-Institutional Program of Postgraduate in Statistics at UFSCar and USP. More details can be found in http://www.servidores.ufscar.br/vera/en/index.php.