Development of Models of Quantum Biology Based on the Tensor Product of Matrices

  • Elena FimmelEmail author
  • Sergey V. Petoukhov
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1126)


The Kronecker tensor product of matrices is one of the most important operations in quantum mechanics and quantum informatics. The article is devoted to various applications of this mathematical operation for revealing hidden interrelations among molecular-genetic structures and for developing quantum biology and algebraic biology. Special attention is paid to matrix representations of the set of DNA nucleobases and their hydrogen bonds. These representations reveal, in particular, hidden symmetries in alphabets of DNA n-plets and also possibilities of applications of hyperbolic numbers and their extensions for modeling some hidden regularities in long DNA sequences.


Genetic code Kronecker product Hydrogen bonds Hyperbolic numbers 


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Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Mannheim University of Applied SciencesMannheimGermany
  2. 2.Mechanical Engineering Research InstituteRussian Academy of SciencesMoscowRussia

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