Algorithms for computing the double cut and join distance on both gene order and intergenic sizesReport as inadecuate

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1 LS2N - Laboratoire des Sciences du Numérique de Nantes 2 LBBE - Laboratoire de Biométrie et Biologie Evolutive 3 BEAGLE - Artificial Evolution and Computational Biology LIRIS - Laboratoire d-InfoRmatique en Image et Systèmes d-information, Inria Grenoble - Rhône-Alpes, LBBE - Laboratoire de Biométrie et Biologie Evolutive, CarMeN - Laboratoire de recherche en cardiovasculaire, métabolisme, diabétologie et nutrition

Abstract : Background: Combinatorial works on genome rearrangements have so far ignored the influence of intergene sizes,i.e. the number of nucleotides between consecutive genes, although it was recently shown decisive for the accuracyof inference methods Biller et al. in Genome Biol Evol 8:1427–39, 2016; Biller et al. in Beckmann A, Bienvenu L, JonoskaN, editors. Proceedings of Pursuit of the Universal-12th conference on computability in Europe, CiE 2016, Lecturenotes in computer science, vol 9709, Paris, France, June 27–July 1, 2016. Berlin: Springer, p. 35–44, 2016. In this line, wedefine a new genome rearrangement model called wDCJ, a generalization of the well-known double cut and join orDCJ operation that modifies both the gene order and the intergene size distribution of a genome.Results: We first provide a generic formula for the wDCJ distance between two genomes, and show that computingthis distance is strongly NP-complete. We then propose an approximation algorithm of ratio 4-3, and two exact ones:a fixed-parameter tractable FPT algorithm and an integer linear programming ILP formulation.Conclusions: We provide theoretical and empirical bounds on the expected growth of the parameter at the centerof our FPT and ILP algorithms, assuming a probabilistic model of evolution under wDCJ, which shows that both thesealgorithms should run reasonably fast in practice.

Keywords : Algorithms Genome rearrangements DCJ Intergenic regions

Author: Guillaume Fertin - Géraldine Jean - Eric Tannier -



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