Whole genome sequencing has revealed several examples where genomes of different species are related by permutation. The number of certain types of rearrangements needed to transform one permuted list into another can measure the distance between such lists. Using an algorithm based on three basic DNA editing operations suggested by a model for ciliate micronuclear decryption, this study defines the distance between two permutations to be the number of ciliate operations the algorithm performs during such a transformation. Combining well-known clustering methods with this distance function enables one to construct corresponding phylogenies. These ideas are illustrated by exploring the phylogenetic relationships among the chromosomes of eight fruit fly (Drosophila) species, using the well-known UPGMA algorithm on the distance function provided by the ciliate operations.
This document was originally published in Involve: A Journal of Mathematics by Mathematical Science Publishers. Copyright restrictions may apply. doi: 10.2140/involve.2016.9.1
Herlin, Jacob L.; Nelson, Anna; and Scheepers, Marion. (2016). "Using Ciliate Operations to Construct Chromosome Phylogenies". Involve: A Journal of Mathematics, 9(1), 1-26. http://dx.doi.org/10.2140/involve.2016.9.1