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

  • 제16권5호
  • /
  • Pages.229-233
  • /
  • 2016
  • /
  • 2289-0238(pISSN)
  • /
  • 2289-0246(eISSN)
한국인터넷방송통신학회 (The Institute of Internet, Broadcasting and Communication)
권호 표지
DOI QR코드

DOI QR Code

블록순환 행렬에 의한 이중나선 DNA 구조 (II)

A Double Helix DNA Structure Based on Block Circulant Matrix (II)

  • 박주용 (신경대학교 ICT융합학과) ;
  • 김정수 (숭실사이버대학교 컴퓨터정보통신학과) ;
  • 이문호 (전북대학교 전자정보공학부)
  • 투고 : 2016.07.07
  • 심사 : 2016.10.07
  • 발행 : 2016.10.31
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

본 논문에서는 4개의 유전자 핵염기 C, U(T), A, G를 행렬로 표시하고, $4{\times}4$ RNA(ribose nucleic acid)에서 $8{\times}8$ DNA(deoxyribose nucleic acid)로의 행렬 구조에 대해 서술한다. BCHJM (block circulant Hadamard-Jacket matrix)에 의해 DNA 이중나선 구조(double helix)를 해석한다. 직교 BCHJM은 비대칭 쌍 상보성(complementary)을 보이고 있다. 블록순환(block circulant) RNA 쌍 손상(damage) 신뢰성(reliability)은 기존 이중나선 보다 우수함을 보이고 있다. k=4, N=1인 경우 블록 순환 상보 쌍 신뢰도는 93.75%이고, k=4, N=4인 경우 신뢰도는 98.44%로 기존 이중나선의 경우 보다 4.69% 개선된다.

In this paper, we present the four genetic nitrogenous bases of C, U(T), A, G to matrices and describe the structures from $4{\times}4$ RNA(ribose nucleic acid) to $8{\times}8$ DNA((deoxyribose nucleic acid) matrices. we analysis a deoxyribose nucleic acid (DNA) double helix based on the block circulant Hadamard-Jacket matrix (BCHJM). The orthogonal BCHJM is anti-symmetric pair complementary of the core DNA. The block circulant ribonucleic acid (RNA) repair damage reliability is better than the conventional double helix. In case of k=4 and N=1, the reliability of block circulant complementarity is 93.75%, and in case of k=4 and N=4, it is 98.44%. Therefore it improves 4.69% than conventional case of double helix.

키워드

참고문헌

  1. Watson, J. D., Crick, F. H. C., "Molecular structure of nucleic acids," Nature, vol. 171, no. 4356, pp. 737-738, April 1953. https://doi.org/10.1038/171737a0
  2. Lee, M. H., Hou, J., "Fast block inverse Jacket transform," IEEE Signal Processing Letters, vol.13, no.8, pp. 461-464, 2006. https://doi.org/10.1109/LSP.2006.873660
  3. Lee, M. H., Hai, H., Zhang, X. D., MIMO Communication Method and System using the Block Circulant Jacket Matrix, USA Patent 14/688.524, 03/03 2016.
  4. Matthew H., Petoukhov, S., Mathematics of Bioinformatics, Wiley, 2011.
  5. Sung Kook Lee, Ju Yong Park and Moon Ho Lee, "A Double Helix DNA Structure Based on the Block Circulant Matrix (I)," The Journal of the Institute of Internet, Broadcasting and Communication(JIIBC), Vol. 16, No. 6, October 2016.
  6. Jae Seung Yang, Ju Yong Park and Moon Ho Lee, "Jacket Matrix in Hyperbola," The Journal of the Institute of Internet, roadcasting and Communication (JIIBC), Vol. 15, No. 3, June 2015.

피인용 문헌

  1. A Standard [UC;AG] Vertical Block Code of Genetic Information 64 Trigram Codon vol.16, pp.6, 2016, https://doi.org/10.7236/JIIBC.2016.16.6.135
  2. Weighted Hadamard Transform in the Helix of Plants and Animals : Symmetry and Element-wise Inverse Matrices vol.16, pp.6, 2016, https://doi.org/10.7236/JIIBC.2016.16.6.319