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HOME > JOURNALS BY SUBJECT > NONLINEAR SCIENCE > IJBC
International Journal of Bifurcation and Chaos (IJBC)
in Applied Sciences and Engineering
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Volume: 2, Issue: 1(1992) pp. 137-154     DOI: 10.1142/S0218127492000136
Abstract | Full Text (PDF, 1,407KB)
Title: GENERATING NONTRIVIAL LONG-RANGE CORRELATIONS AND 1/f SPECTRA BY REPLICATION AND MUTATION
Author(s):
WENTIAN LI
Present address: Box 167, Rockefeller University, 1230 York Avenue, New York, NY 10021.

Santa Fe Institute, 1660 Old Pecos Trail, Suite A, Santa Fe, NM 87501
History:
Received May 29, 1991
Abstract:
This paper aims at understanding the statistical features of nucleic acid sequences from the knowledge of the dynamical process that produces them. Two studies are carried out: first, mutual information function of the limiting sequences generated by simple sequence manipulation dynamics with replications and mutations are calculated numerically (sometimes analytically). It is shown that elongation and replication can easily produce long-range correlations. These long range correlations could be destroyed in various degrees by mutation in different sequence manipulation models. Second, mutual information functions for several human nucleic acids sequences are determined. It is observed that intron sequences (noncoding sequences) tend to have longer correlation lengths than exon sequences (protein-coding sequences).

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