Lagrangian approaches for a class of matching problems in computational biology

  • Authors:
  • Nicola Yanev;Rumen Andonov;Philippe Veber;Stefan Balev

  • Affiliations:
  • University of Sofia, 5 J. Bouchier Str., 1126 Sofia, Bulgaria;IRISA, Campus de Beaulieu, 35042 Rennes, France;IRISA, Campus de Beaulieu, 35042 Rennes, France;LITIS, University of Le Havre, 25 rue P. Lebon BP 540, 76058 Le Havre, France

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2008

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Abstract

This paper presents efficient algorithms for solving the problem of aligning a protein structure template to a query amino-acid sequence, known as protein threading problem. We consider the problem as a special case of graph matching problem. We give formal graph and integer programming models of the problem. After studying the properties of these models, we propose two kinds of Lagrangian relaxation for solving them. We present experimental results on real-life instances showing the efficiency of our approaches.