Skip to main content
SpringerLink
Log in

Chains of Space-Time Open Systems and DNA

  • Conference paper
Interpolation Theory, Systems Theory and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 134))

Abstract

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.

Dedicated to Harry Dym

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  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. M.S. Livsic, N. Kravitsky, A.S. Markus, and V. VinnikovTheory of Commuting Nonselfadjoint OperatorsMathematics and Its Applications, vol. 332, Kluwer, Dordrecht, 1995.

    MATH  Google Scholar 

  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. A.V. PogorelovDifferential GeometryIzdat. “Nauka”, Moscow, 1974 (in Russian).

    Google Scholar 

  5. J.K. WhittemoreBertrand curves and helicesDuke Math. J. 6 (1940), 235–245.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Ben Gurion University of the Negev, POB 653, 84105, Beer-Sheva, Israel

    M. S. Livšic

Authors
  1. M. S. Livšic
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Beer Sheva, 84105, Israel

    Daniel Alpay  & Victor Vinnikov  & 

  2. School of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Ramat Aviv, 69978, Israel

    Israel Gohberg

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer Basel AG

About this paper

Cite this paper

Livšic, M.S. (2002). Chains of Space-Time Open Systems and DNA. In: Alpay, D., Vinnikov, V., Gohberg, I. (eds) Interpolation Theory, Systems Theory and Related Topics. Operator Theory: Advances and Applications, vol 134. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8215-6_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-0348-8215-6_14

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9477-7

  • Online ISBN: 978-3-0348-8215-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation