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Restricted DCJ Model: Rearrangement Problems with Chromosome Reincorporation.
MedLine Citation:
PMID:  21899428     Owner:  NLM     Status:  In-Data-Review    
Abstract/OtherAbstract:
Abstract We study three classical problems of genome rearrangement-sorting, halving, and the median problem-in a restricted double cut and join (DCJ) model. In the DCJ model, introduced by Yancopoulos et al., we can represent rearrangement events that happen in multichromosomal genomes, such as inversions, translocations, fusions, and fissions. Two DCJ operations can mimic transpositions or block interchanges by first extracting an appropriate segment of a chromosome, creating a temporary circular chromosome, and then reinserting it in its proper place. In the restricted model, we are concerned with multichromosomal linear genomes and we require that each circular excision is immediately followed by its reincorporation. Existing linear-time DCJ sorting and halving algorithms ignore this reincorporation constraint. In this article, we propose a new algorithm for the restricted sorting problem running in O(n log n) time, thus improving on the known quadratic time algorithm. We solve the restricted halving problem and give an algorithm that computes a multilinear halved genome in linear time. Finally, we show that the restricted median problem is NP-hard as conjectured.
Authors:
Jakub Kováč; Robert Warren; Marília D V Braga; Jens Stoye
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Journal of computational biology : a journal of computational molecular cell biology     Volume:  18     ISSN:  1557-8666     ISO Abbreviation:  J. Comput. Biol.     Publication Date:  2011 Sep 
Date Detail:
Created Date:  2011-09-08     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  9433358     Medline TA:  J Comput Biol     Country:  United States    
Other Details:
Languages:  eng     Pagination:  1231-41     Citation Subset:  IM    
Affiliation:
1 Department of Computer Science, Faculty of Mathematics, Physics, and Informatics, Comenius University , Bratislava, Slovakia .
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