The combinatorics of tandem duplication

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The combinatorics of tandem duplication

Tandem duplication is an evolutionary process whereby a segment of DNA is replicated and proximally inserted. The different configurations that can arise from this process give rise to some interesting combinatorial questions. Firstly, we introduce an algebraic formalism to represent this process as a word producing automaton. The number of words arising from n tandem duplications can then be r...

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The combinatorics of tandem duplication trees.

We developed a recurrence relation that counts the number of tandem duplication trees (either rooted or unrooted) that are consistent with a set of n tandemly repeated sequences generated under the standard unequal recombination (or crossover) model of tandem duplications. The number of rooted duplication trees is exactly twice the number of unrooted trees, which means that on average only two ...

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running head: COUNTING DUPLICATION TREES The Combinatorics of Tandem Duplication Trees

We develop a recurrence relation that counts the number of Tandem Duplication Trees (either rooted or unrooted) that are consistent with a set of n tandemly repeated sequences generated under the standard unequal recombination (or crossover) model of tandem duplications. We find that the number of rooted duplication trees is exactly twice the number of unrooted trees, which means, on average, o...

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Greedy method for inferring tandem duplication history

MOTIVATION Genome analysis suggests that tandem duplication is an important mode of evolutionary novelty by permitting one copy of each gene to drift and potentially to acquire a new function. With more and more genomic sequences available, reconstructing duplication history has received extensive attention recently. RESULTS An efficient method is presented for inferring the duplication histo...

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LETTER On Counting Tandem Duplication Trees

Large genomes are full of repeated DNA sequences. It was estimated that over half of the human DNA consists of repeated sequences (Baltimore 2001; Eichler 2001; Leem et al. 2002). Tandem duplication is one of the important evolutionary mechanisms for producing repeated DNA sequences, in which the copies that may or may not contain genes are adjacent along the genome. Fitch (1977) first observed...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2015

ISSN: 0166-218X

DOI: 10.1016/j.dam.2015.05.014