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A Standard [UC;AG] Vertical Block Code of Genetic Information 64 Trigram Codon

유전정보 64 Trigram Codon의 표준 [UC;AG] 수직 블록 Code

  • 박주용 (신경대학교 ICT융합학과) ;
  • 이성국 (미국 인디애나 대학, 경제과) ;
  • 이문호 (전북대학교 전자정보공학부)
  • Received : 2016.09.01
  • Accepted : 2016.12.09
  • Published : 2016.12.31

Abstract

In this paper, we analyze the [UC;AG] code which is genetic information standard DNA code, with 64 trigram. DNA which contains human genetic information, is a shape of adding three billion pairs of four bases which are A(adenine), C(cytosine), G(guanine) and T(thymine) to phosphoric acid and glucose. We present standard DNA code to 64 trigram which is $64{\times}4$ matrix with Kronecker product. This $64{\times}4$ matrix has double helix duplex property, and we can get the $4{\times}4$ matrix RNA code by removing the duplex of it. We present the DNA double helix to matrices and analysis the trigram array code of genetic information and the examples of it are presented in example 5, 6.

본 논문에서는 유전정보 DNA 표준 코드인 [UC;AG]를 64괘로 분석했다. 인간의 유전정보를 담고 있는 DNA는 인산과 당에 A(아데닌) C(시토신) G(구아닌) T(티민) 등 네 종류의 염기가 30억쌍 이어 붙여진 형태이다. DNA 표준 코드를 64괘로 나타내고, 이 코드를 Kronecker product를 이용하여 $16{\times}4$행렬로 나타냈다. 이 $16{\times}4$ 행렬은 이중나선의 중복성을 가지고 있으며, 이 중복성을 제거하면 RNA코드 $4{\times}4$ 행렬을 얻는다. $16{\times}4$행렬은 Kronecker product를 이용하여 소 행렬로 분해되었다. DNA 이중나선을 행렬로 표시하고 유전정보 괘 배열 코드를 분석하였으며 그 예를 예 5, 6에 나타냈다.

Keywords

Acknowledgement

Supported by : 한국연구재단

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