Open Systems and Information Dynamics

, Volume 14, Issue 4, pp 397–410

Two-State Dynamics for Replicating Two-Strand Systems

  • Diederik Aerts
  • Marek Czachor

DOI: 10.1007/s11080-007-9064-0

Cite this article as:
Aerts, D. & Czachor, M. Open Syst Inf Dyn (2007) 14: 397. doi:10.1007/s11080-007-9064-0


We propose a formalism for describing two-strand systems of a DNA type by means of soliton von Neumann equations, and illustrate how it works on a simple example exactly solvably by a Darboux transformation. The main idea behind the construction is the link between solutions of von Neumann equations and entangled states of systems consisting of two subsystems evolving in time in opposite directions. Such a time evolution has analogies in realistic DNA where the polymerazes move on leading and lagging strands in opposite directions.

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  • Diederik Aerts
    • 1
  • Marek Czachor
    • 1
    • 2
  1. 1.Centrum Leo Apostel (CLEA) and Foundations of the Exact Sciences (FUND)Vrije Universiteit BrusselBrusselsBelgium
  2. 2.Katedra Fizyki Teoretycznej i Informatyki Kwantowej Politechnika GdańskaGdańskPoland

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