Generating Non-trivial Long-Range Correlations and
1/f Spectra by Replication and Mutation
W. Li
International Journal of Bifurcation and Chaos ,
2(1), 137--154 (1992)
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 acid sequences are determined. It
is observed that intron sequences (non-coding sequences) tend to have
longer correlation lengths than exon sequences (protein-coding sequences).
