Chains of Space-Time Open Systems and DNA

  • M. S. Livšic
Conference paper
Part of the Operator Theory: Advances and Applications book series (OT, volume 134)


There is a striking resemblance between chains of space-time open systems and chains of nucleotides in molecular biology. It seems, hypothetically, that nucleotides can be treated as some kind of space-time systems. In particular, there exist attraction forces between corresponding links of two complementary chains of space-time systems going in the opposite directions. Chains of space-time systems can be replicated with the help of primers, elongations and templets. We show also that under some conditions the structure of a chain is a Bertrand curve — in particular, a double helix.


Double Helix Compatibility Equation Double Chain Spectral Synthesis Chain Synthesis 
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  1. 1.
    A. Griffiths, J. Miller, D. Suzuki, H. Lewitin, and N. GelbartAn Introduction to Genetic AnalysisFreeman and Co., New York, 1996 (sixth edition).Google Scholar
  2. 2.
    M.S. Livsic, N. Kravitsky, A.S. Markus, and V. VinnikovTheory of Commuting Nonselfadjoint OperatorsMathematics and Its Applications, vol. 332, Kluwer, Dordrecht, 1995.zbMATHGoogle Scholar
  3. 3.
    M.S. LivsicVortices of 2D systemsOperator Theory, System Theory and Related Topics (D. Alpay and V. Vinnikov, eds.), Operator Theory: Adv. Appl., vol. 123, Birkhäuser Verlag, Basel, 2001, pp. 7–41.Google Scholar
  4. 4.
    A.V. PogorelovDifferential GeometryIzdat. “Nauka”, Moscow, 1974 (in Russian).Google Scholar
  5. 5.
    J.K. WhittemoreBertrand curves and helicesDuke Math. J. 6 (1940), 235–245.MathSciNetCrossRefGoogle Scholar

Copyright information

© Springer Basel AG 2002

Authors and Affiliations

  • M. S. Livšic
    • 1
  1. 1.Department of MathematicsBen Gurion University of the NegevBeer-ShevaIsrael

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