Relations between Shannon entropy and genome order index in segmenting DNA sequences.
Shannon entropy H and genome order index S are used in segmenting DNA sequences. Zhang [Phys. Rev. E 72, 041917 (2005)] found that the two schemes are equivalent when a DNA sequence is converted to a binary sequence of S (strong H bond) and W (weak H bond). They left the mathematical proof to mathematicians who are interested in this issue. In this paper, a possible mathematical explanation is given. Moreover, we find that Chargaff parity rule 2 is the necessary condition of the equivalence, and the equivalence disappears when a DNA sequence is regarded as a four-symbol sequence. At last, we propose that S-2(-H) may be related to species evolution.
Zhang
Yi
Y
Department of Mathematics, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, People's Republic of China. zhaqi1972@163.com
D000465:Algorithms; D000818:Animals; D001483:Base Sequence; D005075:Biological Evolution; D004247:DNA / Q000737:chemistry*; D019277:Entropy; D004926:Escherichia coli; D016678:Genome; D006801:Humans; D008928:Mitochondria / Q000235:genetics; D008957:Models, Genetic; D008969:Molecular Sequence Data; D017385:Sequence Homology; D055544:beta-Globins / Q000235:genetics
D055544:beta-Globins; D004247:DNA