Arithmetical Analysis of Biomolecular Finite Automaton

  • Authors:
  • Tadeusz Krasiński;Sebastian Sakowski;Jacek Waldmajer;Tomasz Popławski

  • Affiliations:
  • Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland. krasinsk@uni.lodz.pl, sakowski@math.uni.lodz.pl;Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland. krasinsk@uni.lodz.pl, sakowski@math.uni.lodz.pl;Group of Logic, Language and Information, Department of Philosophy, University of Opole, Katowicka 89, 45-061 Opole, Poland. jwaldmajer@uni.opole.pl;Department of Molecular Genetic, University of Łódź, Pomorska 141/143, 90-236 Łódź, Poland. tplas@biol.uni.lodz.pl

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2013

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Abstract

In the paper we present a theoretical analysis of extension of the finite automaton built on DNA introduced by the Shapiro team to an arbitrary number of states and symbols. In the implementation we use a new idea of several restriction enzymes instead of one. We give arithmetical conditions for the existence of such extensions in terms of ingredients used in the implementation.