Detecting Higher Order Genomic Variant Interactions with Spectral Analysis. Uminsky, D., Banuelos, M., González-Albino, L., Garza, R., & Nwakanma, S. A. In 2019 27th European Signal Processing Conference (EUSIPCO), pages 1-5, Sep., 2019.
Detecting Higher Order Genomic Variant Interactions with Spectral Analysis [pdf]Paper  doi  abstract   bibtex   
Genomic variations among a species consisting of one nucleotide change are known as single nucleotide polymorphisms (SNPs). Often these mutations result in a change in phenotype, but detecting higher order interaction of multiple SNPs remains a challenging problem. Common approaches to find groups of interacting SNPs associated with a phenotypic response, a problem under the umbrella of epistasis, often suffers from a combinatorial explosion and require Bonferroni or similar corrections. In this work, we develop and apply a novel Fourier transformation on the symmetric group to uncover higher order interactions of SNPs associated with a quantitative phenotypic response. We present results for simulated data and then apply our method to previously published data to detect, for the first time using a signal processing approach, new and statistically significant higher order SNP interaction phenotypes related to muscle mice genomic variants.

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