Algebraic double cut and join

Sangeeta Bhatia, Attila Egri-Nagy, Andrew R. Francis
2014 Journal of Mathematical Biology  
Establishing a distance between genomes is a significant problem in computational genomics, because its solution can be used to establish evolutionary relationships including phylogeny. The "double cut and join" (DCJ) model of chromosomal rearrangement proposed by Yancopoulos et al. [24] has received attention as it can model inversions, translocations, fusion and fission on a multichromosomal genome that may contain both linear and circular chromosomes. In this paper, we realize the DCJ
more » ... r as a group action on the space of multichromosomal genomes. We study this group action, deriving some properties of the group and finding group-theoretic analogues for the key results in the DCJ theory.
doi:10.1007/s00285-014-0852-1 pmid:25502846 fatcat:jpwbv7ac5fbepoe4fwg36jlaai