Vector representations and related matrices of DNA primary sequence based on L-tuple
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Self-assembly of Complex Two-dimensional Shapes from Single-stranded DNA Tiles
Published on: May 8, 2015
Ying-zhao Liu1, Tian-ming Wang
1Department of Mathematics, Luoyang Normal University, Luoyang 471022, PR China. liuyingzhaoyz@yahoo.com.cn
Abstract:
We consider to construct 4(L)-components vectors for a DNA primary sequence based on the L-tuple. For two DNA sequences, using the corresponding vectors, we construct a set of L x L matrices called related matrix. The mathematical characterization from the constructed matrices have been selected to characterize the degree of similarity between the two DNA sequences. The search for similar sequences of a query sequence from a database of 39 library sequences and the construction of phylogenetic tree of H5N1 avian influenza virus illustrate the utility of the matrices for DNA sequences.
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