Title
On the Near-Linear Correlation of the Eigenvalues Across BLOSUM Matrices.
Abstract
The BLOSUM matrices estimate the likelihood for one amino acid to be substituted with another, and are commonly used in sequence alignments. Each BLOSUM matrix is associated with a parameter x-the matrix elements are computed based on the diversity among sequences of no more than x% similar. In an earlier work, Song et al. observed a property in the BLOSUM matrices-eigendecompositions of the matrices produce nearly identical sets of eigenvectors. Furthermore, for each eigenvector, a nearly linear trend is observed in all its eigenvalues. This property allowed Song et al. to devise an iterative alignment and matrix selection process to produce more accurate matrices. In this paper, we investigate the reasons behind this property of the BLOSUM matrices. Using this knowledge, we analyze the situations under which the property holds, and hence clarify the extent of the earlier method's validity.
Year
DOI
Venue
2015
10.1007/978-3-319-19048-8_17
BIOINFORMATICS RESEARCH AND APPLICATIONS (ISBRA 2015)
Field
DocType
Volume
Combinatorics,Linear correlation,Matrix (mathematics),Network alignment,BLOSUM,Mathematics,Eigenvalues and eigenvectors
Conference
9096
ISSN
Citations 
PageRank 
0302-9743
0
0.34
References 
Authors
9
4
Name
Order
Citations
PageRank
Jin Li100.68
Yen Kaow Ng2739.46
Xingwu Liu31912.77
Shuai Cheng Li418430.25