Title
Local Renyi entropic profiles of DNA sequences.
Abstract
In a recent report the authors presented a new measure of continuous entropy for DNA sequences, which allows the estimation of their randomness level. The definition therein explored was based on the Rényi entropy of probability density estimation (pdf) using the Parzen's window method and applied to Chaos Game Representation/Universal Sequence Maps (CGR/USM). Subsequent work proposed a fractal pdf kernel as a more exact solution for the iterated map representation. This report extends the concepts of continuous entropy by defining DNA sequence entropic profiles using the new pdf estimations to refine the density estimation of motifs.The new methodology enables two results. On the one hand it shows that the entropic profiles are directly related with the statistical significance of motifs, allowing the study of under and over-representation of segments. On the other hand, by spanning the parameters of the kernel function it is possible to extract important information about the scale of each conserved DNA region. The computational applications, developed in Matlab m-code, the corresponding binary executables and additional material and examples are made publicly available at http://kdbio.inesc-id.pt/~svinga/ep/.The ability to detect local conservation from a scale-independent representation of symbolic sequences is particularly relevant for biological applications where conserved motifs occur in multiple, overlapping scales, with significant future applications in the recognition of foreign genomic material and inference of motif structures.
Year
DOI
Venue
2007
10.1186/1471-2105-8-393
BMC Bioinformatics
Keywords
Field
DocType
statistical significance,bioinformatics,microarrays,density estimation,algorithms,escherichia coli,probability density,markov chains,kernel function,predictive value of tests,conserved sequence,exact solution,entropy,dna sequence,game theory,uncertainty
Kernel (linear algebra),Density estimation,Biology,Fractal,Rényi entropy,Markov chain,Differential entropy,Bioinformatics,Iterated function,Randomness
Journal
Volume
Issue
ISSN
8
1
1471-2105
Citations 
PageRank 
References 
28
0.73
13
Authors
2
Name
Order
Citations
PageRank
Susana Vinga153537.72
Jonas S Almeida273142.25