Fixed-parameter algorithms for protein similarity search under mRnA structure constraints

  • Authors:
  • Guillaume Blin;Guillaume Fertin;Danny Hermelin;Stéphane Vialette

  • Affiliations:
  • Laboratoire d'Informatique de nantes-Atlantique (LInA), FRE CnRS 2729, Université de nantes, nantes, France;Laboratoire d'Informatique de nantes-Atlantique (LInA), FRE CnRS 2729, Université de nantes, nantes, France;Department of Computer Science, University of Haifa, Mount Carmel, Haifa, Israel;Laboratoire de Recherche en Informatique (LRI), UMR CnRS 8623, Faculté des Sciences d'Orsay, Université Paris-Sud, Orsay, France

  • Venue:
  • WG'05 Proceedings of the 31st international conference on Graph-Theoretic Concepts in Computer Science
  • Year:
  • 2005

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Abstract

In the context of protein engineering, we consider the problem of computing an mRnA sequence of maximal codon-wise similarity to a given mRnA (and consequently, to a given protein) that additionally satisfies some secondary structure constraints, the so-called MRSO problem [2]. Since the MRSO problem is known to be APX-hard [8], Bongartz proposed in [8] to attack the problem using the concept of parameterized complexity. In this paper we follow this suggested approach by devising fixed-parameter algorithms for several interesting parameters of MRSO. We believe these algorithms to be relevant for practical applications today, as well as for several future applications. Furthermore, our results extend the known tractability borderline of MRSO, and provide new research horizons for further improvements of this sort.