Document Detail

DNA, dichotomic classes and frame synchronization: a quasi-crystal framework.
MedLine Citation:
PMID:  22615472     Owner:  NLM     Status:  MEDLINE    
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 almost periodic structures related to the organization of codons, offers an interesting analogy with the properties of quasi-crystals. From a theoretical point of view, our results might contribute to clarifying the relation between biological information and shape in nucleic acids and proteins. Also, from the point of view of applications, we present new promising tools for designing efficient algorithms for frame synchronization, which plays a crucial role in faithful synthesis of proteins.
Simone Giannerini; Diego Luis Gonzalez; Rodolfo Rosa
Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Philosophical transactions. Series A, Mathematical, physical, and engineering sciences     Volume:  370     ISSN:  1364-503X     ISO Abbreviation:  Philos Trans A Math Phys Eng Sci     Publication Date:  2012 Jun 
Date Detail:
Created Date:  2012-05-22     Completed Date:  2012-07-19     Revised Date:  2013-04-24    
Medline Journal Info:
Nlm Unique ID:  101133385     Medline TA:  Philos Trans A Math Phys Eng Sci     Country:  England    
Other Details:
Languages:  eng     Pagination:  2987-3006     Citation Subset:  IM    
Dipartimento di Scienze Statistiche, Università di Bologna, Via delle Belle Arti 41, 40126 Bologna, Italy.
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MeSH Terms
Computers, Molecular*
Crystallization / methods*
DNA / chemistry*,  ultrastructure*
Models, Chemical*
Models, Genetic*
Models, Molecular*
Signal Processing, Computer-Assisted
Structure-Activity Relationship
Reg. No./Substance:

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