This paper develops statistical tools for testing differences in shapes of chromosomes resulting from certain gene knockouts (KO), specifically RIF1 gene KO (RKO) and the cohesin subunit RAD21 gene KO (CKO). It utilizes a two-sample test for comparing shapes of KO chromosomes with wild type (WT) at two levels: (1) Coarse shape analysis, where one compares shapes of full or large parts of chromosomes, and (2) Fine shape analysis, where chromosomes are first segmented into (TAD-based) pieces and then the corresponding pieces are compared across populations. The shape comparisons - coarse and fine - are based on an elastic shape metric for comparing shapes of 3D curves. The experiments show that the KO populations, RKO and CKO, have statistically significant differences from WT at both coarse and fine levels. Furthermore, this framework highlights local regions where these differences are most prominent.
Keywords: TAD; chromosomal shapes; elastic shape analysis; knock-out; shape comparisons.