A study of entropy/clarity of genetic sequences using metric spaces and fuzzy sets

JOURNAL OF THEORETICAL BIOLOGY

卷:267

Article

Georgiou, D. N.²  Karakasidis, T. E.¹  Nieto, Juan J.³  Torres, A.⁴ 

[1] Univ Thessaly, Dept Civil Engn, Volos 38334, Greece

[2] Univ Patras, Dept Math, Patras 26500, Greece

[3] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[4] Univ Santiago de Compostela, Fac Med, Dept Psiquiatria Radiol & Salud Publ, Santiago De Compostela 15782, Spain

关键词: Polynucleotides;    Fuzzy sets;    Metric spaces;    Entropy;    Clarity;   

DOI  :  10.1016/j.jtbi.2010.08.010

来源: Elsevier

【 摘 要 】

The study of genetic sequences is of great importance in biology and medicine. Sequence analysis and taxonomy are two major fields of application of bioinformatics. In the present paper we extend the notion of entropy and clarity to the use of different metrics and apply them in the case of the Fuzzy Polynuclotide Space (FPS). Applications of these notions on selected polynucleotides and complete genomes both in the I-2 (x) (k) space, but also using their representation in FPS are presented. Our results show that the values of fuzzy entropy/clarity are indicative of the degree of complexity necessary for the description of the polynucleotides in the FPS, although in the latter case the interpretation is slightly different than in the case of the I-12 (x) (k) hypercube. Fuzzy entropy/clarity along with the use of appropriate metrics can contribute to sequence analysis and taxonomy. (C) 2010 Elsevier Ltd. All rights reserved.

【 授权许可】

Free