Title
Characterization of DNA primary sequences based on the average distances between bases.
Abstract
We outline numerical characterization of DNA primary sequence based on calculation of the average distance between pairs of nucleic acid bases. This leads to a representation of DNA by a condensed 4 x 4 symmetrical matrix, the elements of which give the average separation between pair of bases X, Y in DNA (X, Y = A, C, G, T). As an invariant of choice we consider the leading eigenvalue of the derived 4 x 4 matrix. Additional structurally related invariants were obtained by constructing additional "higher order" 4 x 4 matrices derived from the initial 4 x 4 matrix by raising its elements to higher powers. Suitably normalized leading eigenvalue of these matrices offer a novel characterization of DNA primary sequences, referred to as "DNA profiles". The approach is illustrated on exon 1 of human beta -globin gene.
Year
DOI
Venue
2001
10.1021/ci0000981
JOURNAL OF CHEMICAL INFORMATION AND COMPUTER SCIENCES
Field
DocType
Volume
Combinatorics,Gene,Matrix (mathematics),Exon,DNA profiling,DNA,Invariant (mathematics),Nucleic acid,Eigenvalues and eigenvectors,Mathematics
Journal
41
Issue
ISSN
Citations 
3
0095-2338
9
PageRank 
References 
Authors
1.77
19
2
Name
Order
Citations
PageRank
Milan Randic1635203.52
Subhash C. Basak229259.34