Toward Recovering Allele-specific Cancer Genome Graphs.

Integrated analysis of structural variants (SVs) and copy number alterations in aneuploid cancer genomes is key to understanding tumor genome complexity. A recently developed algorithm, Weaver, can estimate, for the first time, allele-specific copy number of SVs and their interconnectivity in aneuploid cancer genomes. However, one major limitation is that not all SVs identified by Weaver are phased. In this article, we develop a general convex programming framework that predicts the interconnectivity of unphased SVs with possibly noisy allele-specific copy number estimations as input. We demonstrated through applications to both simulated data and HeLa whole-genome sequencing data that our method is robust to the noise in the input copy numbers and can predict SV phasings with high specificity. We found that our method can make consistent predictions with Weaver even if a large proportion of the input variants are unphased. We also applied our method to The Cancer Genome Atlas (TCGA) ovarian cancer whole-genome sequencing samples to phase SVs left unphased by Weaver. Our work provides an important new algorithmic framework for recovering more complete allele-specific cancer genome graphs.