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In this article, we show how a new mathematical model of the genetic code can be exploited for investigating the almost periodic properties of DNA and mRNA protein-coding sequences. We present the main mathematical features of the model and highlight its connections with both number theory and group theory. The group theoretic framework presents interesting analogies with the theory of crystals. Moreover, we exploit the information provided by dichotomic classes, binary variables naturally derived from the mathematical model, in order to build statistical classifiers for retrieving and predicting the normal reading frame used by the ribosome in protein synthesis. The results show that coding sequences possess a local informational structure that can be related to frame synchronization processes. The information for retrieving the normal reading frame, which implies the existence of short-range correlations and …
The Royal Society Publishing
Publication date: 
28 Jun 2012

Simone Giannerini, Diego Luis Gonzalez, Rodolfo Rosa

Biblio References: 
Volume: 370 Issue: 1969 Pages: 2987-3006
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences