Lee Seungyeoun, Son Donghee, Kim Yongkang, Yu Wenbao, Park Taesung
1Department of Mathematics and Statistics, Sejong University, 209 Neungdong-ro, Gwangjin-gu, Seoul, 05006 South Korea.
2Department of Statistics, Seoul National University, Shilim-dong, Kwanak-gu, Seoul, 151-742 South Korea.
BioData Min. 2018 Dec 14;11:27. doi: 10.1186/s13040-018-0189-1. eCollection 2018.
One strategy for addressing missing heritability in genome-wide association study is gene-gene interaction analysis, which, unlike a single gene approach, involves high-dimensionality. The multifactor dimensionality reduction method (MDR) has been widely applied to reduce multi-levels of genotypes into high or low risk groups. The Cox-MDR method has been proposed to detect gene-gene interactions associated with the survival phenotype by using the martingale residuals from a Cox model. However, this method requires a cross-validation procedure to find the best SNP pair among all possible pairs and the permutation procedure should be followed for the significance of gene-gene interactions. Recently, the unified model based multifactor dimensionality reduction method (UM-MDR) has been proposed to unify the significance testing with the MDR algorithm within the regression model framework, in which neither cross-validation nor permutation testing are needed. In this paper, we proposed a simple approach, called Cox UM-MDR, which combines Cox-MDR with the key procedure of UM-MDR to identify gene-gene interactions associated with the survival phenotype.
The simulation study was performed to compare Cox UM-MDR with Cox-MDR with and without the marginal effects of SNPs. We found that Cox UM-MDR has similar power to Cox-MDR without marginal effects, whereas it outperforms Cox-MDR with marginal effects and more robust to heavy censoring. We also applied Cox UM-MDR to a dataset of leukemia patients and detected gene-gene interactions with regard to the survival time.
Cox UM-MDR is easily implemented by combining Cox-MDR with UM-MDR to detect the significant gene-gene interactions associated with the survival time without cross-validation and permutation testing. The simulation results are shown to demonstrate the utility of the proposed method, which achieves at least the same power as Cox-MDR in most scenarios, and outperforms Cox-MDR when some SNPs having only marginal effects might mask the detection of the causal epistasis.
解决全基因组关联研究中缺失遗传力的一种策略是基因-基因相互作用分析,与单基因方法不同,该分析涉及高维度。多因素降维方法(MDR)已被广泛应用于将多个层次的基因型简化为高风险或低风险组。有人提出了Cox-MDR方法,通过使用Cox模型的鞅残差来检测与生存表型相关的基因-基因相互作用。然而,该方法需要一个交叉验证程序来在所有可能的对中找到最佳的单核苷酸多态性(SNP)对,并且应该遵循排列程序来确定基因-基因相互作用的显著性。最近,有人提出了基于统一模型的多因素降维方法(UM-MDR),以在回归模型框架内将显著性检验与MDR算法统一起来,其中既不需要交叉验证也不需要排列检验。在本文中,我们提出了一种简单的方法,称为Cox UM-MDR,它将Cox-MDR与UM-MDR的关键程序相结合,以识别与生存表型相关的基因-基因相互作用。
进行了模拟研究,以比较Cox UM-MDR与有和没有SNP边际效应的Cox-MDR。我们发现,Cox UM-MDR与没有边际效应的Cox-MDR具有相似的功效,而它优于有边际效应的Cox-MDR,并且对严重删失更具稳健性。我们还将Cox UM-MDR应用于白血病患者数据集,并检测了与生存时间相关的基因-基因相互作用。
通过将Cox-MDR与UM-MDR相结合,Cox UM-MDR很容易实现,无需交叉验证和排列检验即可检测与生存时间相关的显著基因-基因相互作用。模拟结果表明了所提出方法的实用性,该方法在大多数情况下至少具有与Cox-MDR相同的功效,并且当一些仅具有边际效应的SNP可能掩盖因果上位性的检测时,其性能优于Cox-MDR。