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Flexible identification of structural objects in nucleic acid sequences: Palindromes, mirror repeats, pseudoknots and triple helices

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Combinatorial Pattern Matching (CPM 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1264))

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Abstract

This paper presents algorithms for flexibly identifying structural objects in nucleic acid sequences. These objects are palindromes, mirror repeats, pseudoknots and triple helices. We further explore here the idea of a model against which the words in a sequence are compared for finding these structural objects [17]. In the present case, models are words defined over the alphabet of nucleotides that have both direct and inverse occurrences in the sequence. Moreover, errors (substitutions, deletions and insertions) are allowed between a model and its inverse occurrences. Helix stems may therefore present bulges or interior loops, and mirror repeats need not be exact. Reasonably efficient performance comes from the fact that the parts composing the structures are kept separated until the end and that filtering for valid occurrences (occurrences that may form part of such a structure) can be done in O(n) time where n is the length of the sequence. The time complexity for the searching phase (that is, before the structural parts are put together at the end) of both algorithms presented here (one for palindromes and mirror repeats, the other for pseudoknots and triple helices) is then O(nk(e+1)(1+min d max -d min +1+e, k e ∣Σ∣ e )) where n is the length of the sequence, d max and d min are, respectively, the maximal and minimal length of a hairpin loop, k is either the maximum length k max of a model, is a fixed length or represents the maximum value of a range of lengths, e is the maximum number of errors allowed (substitutions, deletions and insertions) and ∣Σ∣ is the size of the alphabet of nucleotides.

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Authors and Affiliations

  1. Institut Gaspard Monge, Université de Marne-la-Vallée, 2, rue de la Butte Verte, 93160, Noisy-le-Grand

    Marie-France Sagot

  2. Atelier de BioInformatique, Université de Paris 6, 12, rue Cuvier, 75005, Paris

    Marie-France Sagot & Alain Viari

Authors
  1. Marie-France Sagot
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  2. Alain Viari
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Alberto Apostolico Jotun Hein

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© 1997 Springer-Verlag Berlin Heidelberg

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Sagot, MF., Viari, A. (1997). Flexible identification of structural objects in nucleic acid sequences: Palindromes, mirror repeats, pseudoknots and triple helices. In: Apostolico, A., Hein, J. (eds) Combinatorial Pattern Matching. CPM 1997. Lecture Notes in Computer Science, vol 1264. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63220-4_62

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  • DOI: https://doi.org/10.1007/3-540-63220-4_62

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  • Print ISBN: 978-3-540-63220-7

  • Online ISBN: 978-3-540-69214-0

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