Wang Tao
Division of Biostatistics, Institute for Health and Society, Medical College of Wisconsin Milwaukee, WI, USA.
Front Genet. 2014 Sep 25;5:328. doi: 10.3389/fgene.2014.00328. eCollection 2014.
Zeng et al. (2005) proposed a general two-allele (G2A) model to model bi-allelic quantitative trait loci (QTL). Comparing with the classical Fisher model, the G2A model can avoid using redundant parameters and be fitted directly using standard least square (LS) approach. In this study, we further extend the G2A model to general multi-allele (GMA) model. First, we propose a one-locus GMA model for phase known genotypes based on modeling the inheritance of paternal and maternal alleles. Next, we develop a one-locus GMA model for phase unknown genotypes by treating it as a special case of the phase known one-locus GMA model. Thirdly, we extend the one-locus GMA models to multiple loci. We discuss how the genetic variance components can be analyzed using these GMA models in equilibrium as well as disequilibrium populations. Finally, we apply the GMA model to a published experimental data set.
曾等人（2005年）提出了一种通用的双等位基因（G2A）模型来对双等位基因数量性状位点（QTL）进行建模。与经典的费舍尔模型相比，G2A模型可以避免使用冗余参数，并可直接使用标准最小二乘法（LS）进行拟合。在本研究中，我们进一步将G2A模型扩展为通用多等位基因（GMA）模型。首先，我们基于对父本和母本等位基因遗传的建模，为已知相位的基因型提出了一个一位点GMA模型。接下来，我们将未知相位的基因型视为已知相位的一位点GMA模型的特殊情况，从而开发了一个一位点GMA模型。第三，我们将一位点GMA模型扩展到多个位点。我们讨论了如何在平衡和不平衡群体中使用这些GMA模型分析遗传方差分量。最后，我们将GMA模型应用于一个已发表的实验数据集。
