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The European Physical Journal E

, Volume 31, Issue 1, pp 59–67 | Cite as

Symmetry of electrostatic interaction between pyrophosphate DNA molecules

  • V. L. Golo
  • E. I. Kats
  • S. A. Kuznetsova
  • Yu. S. Volkov
Regular Article

Abstract

We study chiral electrostatic interaction between artificial ideal homopolymer DNA-like molecules in which a number of phosphate groups of the sugar-phosphate backbone are exchanged for the pyrophosphate ones. We employ a model in which the DNA is considered as a one-dimensional lattice of dipoles and charges corresponding to base pairs and (pyro)phosphate groups, respectively. The interaction between molecules of the DNA is described by a pair potential U of electrostatic forces between the two sets of dipoles and charges belonging to respective lattices describing the molecules. Minima of the potential U indicate orientational ordering of the molecules and thus liquid crystalline phases of the DNA. We use numerical methods for finding the set of minima in conjunction with symmetries verified by the potential U . The symmetries form a non-commutative group of 8th order, S . Using the group S we suggest a classification of liquid crystalline phases of the DNA, which allows several cholesteric phases, that is polymorphism. Pyrophosphate forms of the DNA could clarify the role played by charges in their liquid crystalline phases, and open experimental research, important for nano-technological and bio-medical applications.

Keywords

Normal Subgroup Pyrophosphate Twist Angle Liquid Crystalline Phasis Stationary Subgroup 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • V. L. Golo
    • 1
  • E. I. Kats
    • 2
    • 3
  • S. A. Kuznetsova
    • 4
  • Yu. S. Volkov
    • 1
  1. 1.Department of Mechanics and Mathematicsthe Lomonosov Moscow State UniversityMoscowRussia
  2. 2.Institute Laue-Langevin GrenobleGrenobleFrance
  3. 3.L.D. Landau Institute for Theoretical PhysicsMoscowRussia
  4. 4.Department of Chemistrythe Lomonosov Moscow State UniversityMoscowRussia

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