Modelo de sistema de comunicações digital para o mecanismo de importação de proteinas mitocondriais atraves de codigos corretores de erros / Digital communication system model for mitochondrial protein import by use of error-correcting codes

AUTOR(ES)
DATA DE PUBLICAÇÃO

2010

RESUMO

One of the puzzling problems in mathematical biology is to show the existence of any form of error-correcting code in the DNA structure. Using information theory considerations we propose a model for the biological coding system similar to that of a digital communication system. This model consists of a mapper (transformations from the set of nucleotides either to the set (0, 1, 2, 3) ring; an encoder (BCH code); and a modulator (genetic code, tRNA and rRNA). The decoding process is based on the Modified Berlekamp-Massey algothm in an analogy with the TOM complex (translocase of the mitochondrial outer membrane). In this process we have a demodulator (Tom 70 and Tom 20 proteins), a decoder (GIP complex) and the receiver (mitochondrion). In this work we show that DNA sequences (targeting sequences) are identified as codewords of a G-linear code over Galois ring extensions. In addition, these DNA sequences and their complementary strands are mathematically related to the primitive polynomials and their reciprocal polynomials, respectively. A phylogenetic study suggest that the MDH protein, Arabidopsis thaliana, found in the NCBI databank is a derived sequence of the MDH protein reproduced by the error correcting code. This model also reproduces with remarkable accuracy kinetic parameters based on amino acid substitutions on synthetic oligopeptides. We show, for the first time, the existence of error-correcting codes associated with DNA sequences, which strongly infer on the existence of nested codes within the genome. The results presented in this work contribute to the development of a systematic procedure which may be employed in the mutations/polymorphisms analysis with applications in genetic engineering.

ASSUNTO(S)

analise de sequencia de dna dna sequence analysis sequencia de nucleotideos mitocondria aneis (algebra) - codificação dna sequences codigos de controle de erros error correcting codes algebraic rings mitochondria

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