Algebraic and topological models for DNA recombinant processes

  • Authors:
  • Nataša Jonoska;Masahico Saito

  • Affiliations:
  • Department of Mathematics, University of South Florida, Tampa, FL;Department of Mathematics, University of South Florida, Tampa, FL

  • Venue:
  • DLT'04 Proceedings of the 8th international conference on Developments in Language Theory
  • Year:
  • 2004

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Abstract

We propose algebraic and topological techniques that could be employed for studying recombinant DNA processes. We show that sequence of splices performed by the operation hi-excision/reinsertion on one DNA molecule can be modeled by the elements of a semidirect product of n-copies of the cyclic group of order 2 and the symmetric group Sn. We associate a surface in space-time (subspace of ℝ3 ×[0,1]) with a sequence of splicings on circular molecules and present examples of applications of this model.