The Journal of the Institute of Internet, Broadcasting and Communication (한국인터넷방송통신학회논문지)

The Institute of Internet, Broadcasting and Communication (한국인터넷방송통신학회)
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A Double Helix DNA Structure Based on the Block Circulant Matrix (I)

블록순환 행렬에 의한 이중나선 DNA 구조 (I)

  • 이성국 (미국 인디에나 대학, 경제과) ;
  • 박주용 (신경대학교, ICT융합학과) ;
  • 이문호 (전북대학교, 전자공학부)
  • Received : 2016.01.28
  • Accepted : 2016.06.10
  • Published : 2016.06.30
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Abstract

The genetic code is a key to bio-informatics and to a science of biological self-organizing on the whole. Modern science faces the necessity of understanding and systematically explaining mysterious features of ensembles of molecular structures of the genetic code. This paper is devoted to symmetrical analysis for genetic systems. Mathematical theories of noise-immunity coding and discrete signal processing are based on Jacket matrix methods of representation and analysis of information. Both of the RNA and Jacket Matrix property also have the Element(Block) - wise Inverse Matrices. These matrix methods, which are connected closely with relations of symmetry, are borrowed for a matrix analysis of ensembles of molecular elements of the genetic code. This method is presented for its simplicity and the clarity with which it decomposes a Jacket Matrix in terms of the genetic RNA Codon.

유전자 코드는 바이오 정보 처리에 키 포인트로 인체의 유기적인 조직체이다. 현대 과학에서는 유전자 코드 분자구조의 신비스러운 특성을 체계적으로 설명하고 이해하는데 연구가 집중되고 있다. 본 논문에서는 유전자 시스템을 대칭적으로 해석하는데 중점을 두었고, Jacket 행렬로 무잡음 RNA 유전자 코드를 가장 단순하게 해석했다. 이유는 Jacket 행렬과 RNA는 그 역행렬이 Element (Block)-wise Inverse로 그 역(Inverse)도 자신이란 점과 대칭적 성질, 그리고 Kronecker곱을 갖기 때문이다. 제안된 방법이 유전자 RNA 코돈(Codon : 괘(卦))의 견지에서 Jacket 행렬의 분해를 통해 간단하고 명료함을 보인다.

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