Abstract
Many genetic problems in fields of medicine, biotechnology and bio-medical engineering are connected with secrets of complete sets of chromosomes (karyotypes) in human and other eukaryotic organisms. The article is devoted to new symmetries inside complete sets of chromosomes, which add important knowledge into the field of cytogenetics. Simultaneously the article describes new methods of analysis and modeling long sequences of hydrogen bonds in DNA. The proposed model approach is connected with the tensor product of matrices and with formalisms of quantum informatics. The described results can be used in development of new approaches for modeling genetic informatics from standpoint of quantum informatics.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Hamilton, A.: The retail DNA test. Time, 29 October 2008
Petoukhov, S.V.: The genetic coding system and unitary matrices. Preprints 2018, 2018040131. https://doi.org/10.20944/preprints201804.0131.v2
Okamura, K., Wei, J., Scherer, S.: Evolutionary implications of inversions that have caused intra-strand parity in DNA. BMC Genom. 8, 160–166 (2007)
Petoukhov, S.V.: The rules of long DNA-sequences and tetra-groups of oligonucleotides. arXiv:1709.04943v5, 5th version, 8 October 2018, 159 p.
Petoukhov, S.V., Svirin, V.I.: The new wide class of symmetries in long DNA-texts. Elements of quantum-information genetics. Biologia Serbica 40(1), 51 (2018)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, New York (2010)
Singh, D.A.A.G., Leavline, E.J., Priyanka, R., Priya, P.P.: Dimensionality reduction using genetic algorithm for improving accuracy in medical diagnosis. Int. J. Intell. Syst. Appl. (IJISA) 8(1), 67–73 (2016). https://doi.org/10.5815/ijisa.2016.01.08
Chawda, B.V., Patel, J.M.: Investigating performance of various natural computing algorithms. Int. J. Intell. Syst. Appl. (IJISA) 9(1), 46–59 (2017). https://doi.org/10.5815/ijisa.2017.01.05
Mousa, H.M.: DNA-genetic encryption technique. Int. J. Comput. Netw. Information Secur. (IJCNIS) 8(7), 1–9 (2016). https://doi.org/10.5815/ijcnis.2016.07.01
Abo-Zahhad, M., Ahmed, S.M., Abd-Elrahman, S.A.: Genomic analysis and classification of exon and intron sequences using DNA numerical mapping techniques. Int. J. Inf. Technol. Comput. Sci. (IJITCS) 4(8), 22–36 (2012). https://doi.org/10.5815/ijitcs.2012.08.03
Srivastava, P.C., Agrawal, A., Mishra, K.N., Ojha, P.K., Garg, R.: Fingerprints, Iris and DNA features based multimodal systems: a review. Int. J. Inf. Technol. Computer Sci. (IJITCS) 5(2), 88–111 (2013). https://doi.org/10.5815/ijitcs.2013.02.10
Penrose, R.: Shadows of Mind. Oxford University Press, New York (1994)
Igamberdiev, A.U.: Quantum mechanical properties of biosystems: a framework for complexity, structural stability, and transformations. Biosystems 31(1), 65–73 (1993)
Matsuno, K.: Cell motility as entangled quantum coherence. BioSystems 51, 15–19 (1999)
Matsuno, K., Paton, R.C.: Is there a biology of quantum information? BioSystems 55, 39–46 (2000)
Patel, A.: Quantum algorithms and the genetic code. Pramana – J. Phys. 56(2–3), 367–381 arXiv:quant-ph/0002037 (2001a)
Patel, A.: Testing quantum dynamics in genetic information processing. J. Genet. 80(1), 39–43 (2001b)
Patel, A.: Why genetic information processing could have a quantum basis. J. Biosci. 26(2), 145–151 (2001c)
Abbott, D., Davies, P.C.W., Pati, A.K., foreword by Sir Roger Penrose: Quantum Aspects of Life (2008). ISBN-13: 978-1-84816-253-2
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this paper
Cite this paper
Petoukhov, S., Petukhova, E., Svirin, V. (2020). On Symmetries Inside Complete Sets of Chromosomes. In: Hu, Z., Petoukhov, S., Dychka, I., He, M. (eds) Advances in Computer Science for Engineering and Education II. ICCSEEA 2019. Advances in Intelligent Systems and Computing, vol 938. Springer, Cham. https://doi.org/10.1007/978-3-030-16621-2_51
Download citation
DOI: https://doi.org/10.1007/978-3-030-16621-2_51
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-16620-5
Online ISBN: 978-3-030-16621-2
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)