title: A generalized topological entropy for analyzing the complexity of DNA sequences.
abstract: Topological entropy is one of the most difficult entropies to be used to analyze the DNA sequences, due to the finite sample and high-dimensionality problems. In order to overcome these problems, a generalized topological entropy is introduced. The relationship between the topological entropy and the generalized topological entropy is compared, which shows the topological entropy is a special case of the generalized entropy. As an application the generalized topological entropy in introns, exons and promoter regions was computed, respectively. The results indicate that the entropy of introns is higher than that of exons, and the entropy of the exons is higher than that of the promoter regions for each chromosome, which suggest that DNA sequence of the promoter regions is more regular than the exons and introns.
authors.affiliation: Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, China.
authors.forename: Shuilin
authors.initials: S
authors.lastname: Jin
authors.affiliation: School of Computer Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China.
authors.forename: Renjie
authors.initials: R
authors.lastname: Tan
authors.affiliation: School of Life Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China.
authors.forename: Qinghua
authors.initials: Q
authors.lastname: Jiang
authors.affiliation: College of Computer Science and Technology, Harbin Engineering University, Harbin, Heilongjiang, China.
authors.forename: Li
authors.initials: L
authors.lastname: Xu
authors.affiliation: School of Computer Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China.
authors.forename: Jiajie
authors.initials: J
authors.lastname: Peng
authors.affiliation: Department of Mathematics, Harbin Institute of Technology, Harbin, Heilongjiang, China.
authors.forename: Yong
authors.initials: Y
authors.lastname: Wang
authors.affiliation: School of Computer Science and Technology, Harbin Institute of Technology, Harbin, Heilongjiang, China.
authors.forename: Yadong
authors.initials: Y
authors.lastname: Wang
mesh_terms: D000465:Algorithms; D002874:Chromosome Mapping; D019295:Computational Biology / Q000379:methods*; D004247:DNA / Q000737:chemistry; D019277:Entropy; D005091:Exons; D006801:Humans; D007438:Introns; D008962:Models, Theoretical; D011401:Promoter Regions, Genetic; D017422:Sequence Analysis, DNA / Q000379:methods*; D012984:Software
chemical_list: D004247:DNA