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General Physiology and Biophysics Vol.31, No.2, p.221–224, 2012 |
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Title: Scaling law: A global topological property of genetic sequences | ||
Author: Shou-Liang Bu | ||
Abstract: Abstract. Here, we study the topological properties of genetic sequence by viewing the entire sequence as a whole. First, a systematic way of coding the gene-combinations in a genetic sequence is developed. Next, we apply the coding method to real genetic sequences, and find a scale-free power-law distribution for some particular kinds of gene-combinations. Furthermore, we also present a model to reproduce the observed scale-free feature, which is based on three generic mechanisms: 1) Growth mechanism – genetic sequences expands continuously by the addition of new codon; 2) Preferential replication mechanism – the newly added codon at every time step is a replication of one of existed condons, and the probability that a codon is replicated is proportional to its emerging times in existed sequence; and 3) Mutation mechanism – following (2) the newly added codon has a small probability to mutate. To our knowledge, no report has been published to study the genetic sequences in such way. |
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Year: 2012, Volume: 31, Issue: 2 | Page From: 221, Page To: 224 | |
doi:10.4149/gpb_2012_022 |
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